%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ALG068+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 : n009.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 16:36:10 EDT 2023 % Result : Theorem 12.64s 2.58s % Output : Proof 72.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : ALG068+1 : TPTP v8.1.2. Released v2.7.0. % 0.07/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.33 % Computer : n009.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 04:57:05 EDT 2023 % 0.12/0.34 % CPUTime : % 0.52/0.60 ________ _____ % 0.52/0.60 ___ __ \_________(_)________________________________ % 0.52/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.52/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.52/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.52/0.60 % 0.52/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.52/0.60 (2023-06-19) % 0.52/0.60 % 0.52/0.60 (c) Philipp Rümmer, 2009-2023 % 0.52/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.52/0.60 Amanda Stjerna. % 0.52/0.60 Free software under BSD-3-Clause. % 0.52/0.60 % 0.52/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.52/0.60 % 0.52/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.52/0.62 Running up to 7 provers in parallel. % 0.52/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.52/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.52/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.52/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.52/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.52/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.76/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 5.32/1.51 Prover 1: Preprocessing ... % 5.32/1.53 Prover 4: Preprocessing ... % 5.79/1.56 Prover 0: Preprocessing ... % 5.79/1.56 Prover 6: Preprocessing ... % 5.79/1.56 Prover 3: Preprocessing ... % 5.79/1.56 Prover 2: Preprocessing ... % 5.79/1.56 Prover 5: Preprocessing ... % 9.83/2.14 Prover 2: Constructing countermodel ... % 9.83/2.14 Prover 3: Constructing countermodel ... % 9.83/2.14 Prover 1: Constructing countermodel ... % 9.83/2.15 Prover 4: Constructing countermodel ... % 10.08/2.21 Prover 0: Constructing countermodel ... % 10.08/2.21 Prover 6: Constructing countermodel ... % 12.64/2.57 Prover 6: proved (1926ms) % 12.64/2.57 % 12.64/2.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 12.64/2.58 % 12.64/2.58 Prover 0: stopped % 12.64/2.58 Prover 2: stopped % 12.64/2.58 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 12.64/2.58 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 12.64/2.58 Prover 3: stopped % 12.92/2.59 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 12.92/2.60 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 14.18/2.78 Prover 5: Constructing countermodel ... % 14.18/2.80 Prover 5: stopped % 14.18/2.81 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 14.94/2.89 Prover 8: Preprocessing ... % 14.94/2.90 Prover 11: Preprocessing ... % 14.94/2.92 Prover 10: Preprocessing ... % 14.94/2.93 Prover 7: Preprocessing ... % 15.85/3.01 Prover 8: Constructing countermodel ... % 15.85/3.02 Prover 13: Preprocessing ... % 16.23/3.14 Prover 11: Constructing countermodel ... % 16.85/3.18 Prover 10: Constructing countermodel ... % 16.85/3.18 Prover 7: Constructing countermodel ... % 17.49/3.28 Prover 13: Constructing countermodel ... % 58.58/9.11 Prover 13: stopped % 59.27/9.15 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 59.64/9.23 Prover 16: Preprocessing ... % 61.50/9.48 Prover 16: Constructing countermodel ... % 66.35/10.17 Prover 8: Found proof (size 14082) % 66.35/10.17 Prover 8: proved (7504ms) % 66.35/10.17 Prover 10: stopped % 66.35/10.17 Prover 16: stopped % 66.35/10.17 Prover 4: stopped % 66.35/10.17 Prover 7: stopped % 66.35/10.17 Prover 1: Found proof (size 13984) % 66.35/10.17 Prover 1: proved (9548ms) % 66.35/10.17 Prover 11: stopped % 66.35/10.17 % 66.35/10.17 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 66.35/10.17 % 67.58/10.46 % SZS output start Proof for theBenchmark % 67.85/10.54 Assumptions after simplification: % 67.85/10.54 --------------------------------- % 67.85/10.54 % 67.85/10.54 (ax1) % 67.89/10.59 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? % 67.89/10.59 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] % 67.89/10.59 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 67.89/10.59 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 67.89/10.60 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 67.89/10.60 [v23: $i] : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = % 67.89/10.60 v22 & op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) = % 67.89/10.60 v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2, e4) = % 67.89/10.60 v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11 & op(e2, e0) = % 67.89/10.60 v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = v7 & op(e1, e1) = v6 % 67.89/10.60 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & % 67.89/10.60 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & % 67.89/10.60 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & % 67.89/10.60 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 67.89/10.60 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 | % 67.89/10.60 v24 = e2 | v24 = e1 | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 = % 67.89/10.60 e1 | v23 = e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) & % 67.89/10.60 (v21 = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20 = % 67.89/10.60 e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19 = e2 | % 67.89/10.60 v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18 = e1 | v18 = % 67.89/10.60 e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17 = e0) & (v16 = e4 | % 67.89/10.60 v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) & (v15 = e4 | v15 = e3 | v15 = % 67.89/10.60 e2 | v15 = e1 | v15 = e0) & (v14 = e4 | v14 = e3 | v14 = e2 | v14 = e1 | % 67.89/10.60 v14 = e0) & (v13 = e4 | v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 % 67.89/10.60 = e4 | v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 | % 67.89/10.60 v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 = % 67.89/10.60 e1 | v10 = e0) & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = % 67.89/10.60 e4 | v8 = e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2 % 67.89/10.60 | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 = e0) & % 67.89/10.60 (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4 | v4 = e3 | v4 % 67.89/10.60 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 = % 67.89/10.60 e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e4 | v1 = % 67.89/10.60 e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 % 67.89/10.60 | v0 = e0)) % 67.89/10.60 % 67.89/10.60 (ax2) % 67.89/10.60 op(unit, e4) = e4 & op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 % 67.89/10.60 & op(unit, e0) = e0 & op(e4, unit) = e4 & op(e3, unit) = e3 & op(e2, unit) = % 67.89/10.60 e2 & op(e1, unit) = e1 & op(e0, unit) = e0 & $i(unit) & $i(e4) & $i(e3) & % 67.89/10.60 $i(e2) & $i(e1) & $i(e0) & (unit = e4 | unit = e3 | unit = e2 | unit = e1 | % 67.89/10.60 unit = e0) % 67.89/10.60 % 67.89/10.60 (ax3) % 68.22/10.62 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? % 68.22/10.62 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] % 68.22/10.62 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 68.22/10.62 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 68.22/10.62 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 68.22/10.62 [v23: $i] : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = % 68.22/10.62 v20 & op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3, e3) = % 68.22/10.62 v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7 & op(e2, e4) = % 68.22/10.62 v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2, e1) = v13 & op(e2, e0) = % 68.22/10.62 v6 & op(e1, e4) = v12 & op(e1, e3) = v11 & op(e1, e2) = v10 & op(e1, e1) = % 68.22/10.62 v9 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & % 68.22/10.62 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & % 68.22/10.62 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & % 68.22/10.62 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 68.22/10.62 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v23 = e4 | % 68.22/10.62 v20 = e4 | v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 | v18 = e4 | v12 = % 68.22/10.62 e4 | v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 | v15 = e3 | v8 = e3) & % 68.22/10.62 (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 | v4 = e3) & (v24 = e2 | v23 = e2 % 68.22/10.62 | v20 = e2 | v15 = e2 | v8 = e2) & (v24 = e2 | v22 = e2 | v18 = e2 | v12 = % 68.22/10.62 e2 | v4 = e2) & (v24 = e1 | v23 = e1 | v20 = e1 | v15 = e1 | v8 = e1) & % 68.22/10.62 (v24 = e1 | v22 = e1 | v18 = e1 | v12 = e1 | v4 = e1) & (v24 = e0 | v23 = e0 % 68.22/10.62 | v20 = e0 | v15 = e0 | v8 = e0) & (v24 = e0 | v22 = e0 | v18 = e0 | v12 = % 68.22/10.62 e0 | v4 = e0) & (v23 = e4 | v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) & % 68.22/10.62 (v23 = e3 | v21 = e3 | v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 | v21 = e2 % 68.22/10.62 | v17 = e2 | v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 | v17 = e1 | v11 = % 68.22/10.62 e1 | v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 | v11 = e0 | v3 = e0) & % 68.22/10.62 (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 | v7 = e4) & (v22 = e3 | v21 = e3 % 68.22/10.62 | v19 = e3 | v14 = e3 | v7 = e3) & (v22 = e2 | v21 = e2 | v19 = e2 | v14 = % 68.22/10.62 e2 | v7 = e2) & (v22 = e1 | v21 = e1 | v19 = e1 | v14 = e1 | v7 = e1) & % 68.22/10.62 (v22 = e0 | v21 = e0 | v19 = e0 | v14 = e0 | v7 = e0) & (v20 = e4 | v19 = e4 % 68.22/10.62 | v16 = e4 | v10 = e4 | v2 = e4) & (v20 = e3 | v19 = e3 | v16 = e3 | v10 = % 68.22/10.62 e3 | v2 = e3) & (v20 = e2 | v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) & % 68.22/10.62 (v20 = e1 | v19 = e1 | v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 | v19 = e0 % 68.22/10.62 | v16 = e0 | v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 | v16 = e4 | v13 = % 68.22/10.62 e4 | v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 | v13 = e3 | v6 = e3) & % 68.22/10.62 (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 | v6 = e2) & (v18 = e1 | v17 = e1 % 68.22/10.62 | v16 = e1 | v13 = e1 | v6 = e1) & (v18 = e0 | v17 = e0 | v16 = e0 | v13 = % 68.22/10.62 e0 | v6 = e0) & (v15 = e4 | v14 = e4 | v13 = e4 | v9 = e4 | v1 = e4) & % 68.22/10.62 (v15 = e3 | v14 = e3 | v13 = e3 | v9 = e3 | v1 = e3) & (v15 = e2 | v14 = e2 % 68.22/10.62 | v13 = e2 | v9 = e2 | v1 = e2) & (v15 = e1 | v14 = e1 | v13 = e1 | v9 = % 68.22/10.62 e1 | v1 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v9 = e0 | v1 = e0) & % 68.22/10.62 (v12 = e4 | v11 = e4 | v10 = e4 | v9 = e4 | v5 = e4) & (v12 = e3 | v11 = e3 % 68.22/10.62 | v10 = e3 | v9 = e3 | v5 = e3) & (v12 = e2 | v11 = e2 | v10 = e2 | v9 = % 68.22/10.62 e2 | v5 = e2) & (v12 = e1 | v11 = e1 | v10 = e1 | v9 = e1 | v5 = e1) & % 68.22/10.62 (v12 = e0 | v11 = e0 | v10 = e0 | v9 = e0 | v5 = e0) & (v8 = e4 | v7 = e4 | % 68.22/10.62 v6 = e4 | v5 = e4 | v0 = e4) & (v8 = e3 | v7 = e3 | v6 = e3 | v5 = e3 | v0 % 68.22/10.62 = e3) & (v8 = e2 | v7 = e2 | v6 = e2 | v5 = e2 | v0 = e2) & (v8 = e1 | v7 % 68.22/10.62 = e1 | v6 = e1 | v5 = e1 | v0 = e1) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 = % 68.22/10.62 e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 = % 68.22/10.62 e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2 = e1 % 68.22/10.62 | v1 = e1 | v0 = e1) & (v0 = e0 | ((v8 = e0 | v7 = e0 | v6 = e0 | v5 = e0) % 68.22/10.62 & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0)))) % 68.22/10.62 % 68.22/10.62 (ax4) % 68.22/10.63 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? % 68.22/10.63 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] % 68.22/10.63 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 68.22/10.63 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 68.22/10.63 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 68.22/10.63 [v23: $i] : ? [v24: $i] : ( ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v21) & % 68.22/10.63 ~ (v24 = v20) & ~ (v24 = v19) & ~ (v24 = v14) & ~ (v24 = v9) & ~ (v24 = % 68.22/10.63 v4) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~ (v23 = v18) & % 68.22/10.63 ~ (v23 = v13) & ~ (v23 = v8) & ~ (v23 = v3) & ~ (v22 = v21) & ~ (v22 = % 68.22/10.63 v20) & ~ (v22 = v17) & ~ (v22 = v12) & ~ (v22 = v7) & ~ (v22 = v2) & % 68.22/10.63 ~ (v21 = v20) & ~ (v21 = v16) & ~ (v21 = v11) & ~ (v21 = v6) & ~ (v21 = % 68.22/10.63 v1) & ~ (v20 = v15) & ~ (v20 = v10) & ~ (v20 = v5) & ~ (v20 = v0) & ~ % 68.22/10.63 (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 = % 68.22/10.63 v14) & ~ (v19 = v9) & ~ (v19 = v4) & ~ (v18 = v17) & ~ (v18 = v16) & % 68.22/10.63 ~ (v18 = v15) & ~ (v18 = v13) & ~ (v18 = v8) & ~ (v18 = v3) & ~ (v17 = % 68.22/10.63 v16) & ~ (v17 = v15) & ~ (v17 = v12) & ~ (v17 = v7) & ~ (v17 = v2) & % 68.22/10.63 ~ (v16 = v15) & ~ (v16 = v11) & ~ (v16 = v6) & ~ (v16 = v1) & ~ (v15 = % 68.22/10.63 v10) & ~ (v15 = v5) & ~ (v15 = v0) & ~ (v14 = v13) & ~ (v14 = v12) & % 68.22/10.63 ~ (v14 = v11) & ~ (v14 = v10) & ~ (v14 = v9) & ~ (v14 = v4) & ~ (v13 = % 68.22/10.63 v12) & ~ (v13 = v11) & ~ (v13 = v10) & ~ (v13 = v8) & ~ (v13 = v3) & % 68.22/10.64 ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = v7) & ~ (v12 = v2) & ~ (v11 = % 68.22/10.64 v10) & ~ (v11 = v6) & ~ (v11 = v1) & ~ (v10 = v5) & ~ (v10 = v0) & ~ % 68.22/10.64 (v9 = v8) & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = v4) & ~ % 68.22/10.64 (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v3) & ~ (v7 = v6) & ~ % 68.22/10.64 (v7 = v5) & ~ (v7 = v2) & ~ (v6 = v5) & ~ (v6 = v1) & ~ (v5 = v0) & ~ % 68.22/10.64 (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ % 68.22/10.64 (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & % 68.22/10.64 op(e4, e4) = v24 & op(e4, e3) = v19 & op(e4, e2) = v14 & op(e4, e1) = v9 & % 68.22/10.64 op(e4, e0) = v4 & op(e3, e4) = v23 & op(e3, e3) = v18 & op(e3, e2) = v13 & % 68.22/10.64 op(e3, e1) = v8 & op(e3, e0) = v3 & op(e2, e4) = v22 & op(e2, e3) = v17 & % 68.22/10.64 op(e2, e2) = v12 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 & % 68.22/10.64 op(e1, e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 & % 68.22/10.64 op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1) = v5 & % 68.22/10.64 op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) % 68.22/10.64 & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & % 68.22/10.64 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 68.22/10.64 $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 68.22/10.64 % 68.22/10.64 (ax5) % 68.22/10.64 ~ (e4 = e3) & ~ (e4 = e2) & ~ (e4 = e1) & ~ (e4 = e0) & ~ (e3 = e2) & ~ % 68.22/10.64 (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~ (e1 = e0) & $i(e4) % 68.22/10.64 & $i(e3) & $i(e2) & $i(e1) & $i(e0) % 68.22/10.64 % 68.22/10.64 (ax6) % 68.22/10.64 op(e4, e2) = e1 & op(e2, e4) = e3 & op(e1, e1) = e0 & $i(e4) & $i(e3) & $i(e2) % 68.22/10.64 & $i(e1) & $i(e0) % 68.22/10.64 % 68.22/10.64 (co1) % 68.22/10.65 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? % 68.22/10.65 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] % 68.22/10.65 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 68.22/10.65 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 68.22/10.65 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 68.22/10.65 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? % 68.22/10.65 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? % 68.22/10.65 [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] : ? % 68.22/10.65 [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: $i] : ? % 68.22/10.65 [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? [v47: $i] : ? % 68.22/10.65 [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] : ? [v52: $i] : ? % 68.22/10.65 [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: $i] : ? [v57: $i] : ? % 68.22/10.65 [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? [v61: $i] : ? [v62: $i] : ? % 68.22/10.65 [v63: $i] : ? [v64: $i] : ? [v65: $i] : ? [v66: $i] : ? [v67: $i] : ? % 68.22/10.65 [v68: $i] : ? [v69: $i] : (op(v24, e4) = v68 & op(v24, e3) = v67 & op(v23, % 68.22/10.65 e4) = v66 & op(v23, e2) = v65 & op(v22, e4) = v64 & op(v22, e1) = v63 & % 68.22/10.65 op(v21, e4) = v62 & op(v21, e0) = v61 & op(v20, e4) = v69 & op(v19, e4) = % 68.22/10.65 v59 & op(v19, e3) = v60 & op(v18, e3) = v57 & op(v18, e2) = v56 & op(v17, % 68.22/10.65 e3) = v55 & op(v17, e1) = v54 & op(v16, e3) = v53 & op(v16, e0) = v52 & % 68.22/10.65 op(v15, e3) = v58 & op(v14, e4) = v50 & op(v14, e2) = v51 & op(v13, e3) = % 68.22/10.65 v48 & op(v13, e2) = v49 & op(v12, e2) = v46 & op(v12, e1) = v45 & op(v11, % 68.22/10.65 e2) = v44 & op(v11, e0) = v43 & op(v10, e2) = v47 & op(v9, e4) = v41 & % 68.22/10.66 op(v9, e1) = v42 & op(v8, e3) = v39 & op(v8, e1) = v40 & op(v7, e2) = v37 & % 68.22/10.66 op(v7, e1) = v38 & op(v6, e1) = v35 & op(v6, e0) = v34 & op(v5, e1) = v36 & % 68.22/10.66 op(v4, e4) = v32 & op(v4, e0) = v33 & op(v3, e3) = v30 & op(v3, e0) = v31 & % 68.22/10.66 op(v2, e2) = v28 & op(v2, e0) = v29 & op(v1, e1) = v26 & op(v1, e0) = v27 & % 68.22/10.66 op(v0, e0) = v25 & op(e4, e4) = v20 & op(e4, e3) = v24 & op(e4, e2) = v23 & % 68.22/10.66 op(e4, e1) = v22 & op(e4, e0) = v21 & op(e3, e4) = v19 & op(e3, e3) = v15 & % 68.22/10.66 op(e3, e2) = v18 & op(e3, e1) = v17 & op(e3, e0) = v16 & op(e2, e4) = v14 & % 68.22/10.66 op(e2, e3) = v13 & op(e2, e2) = v10 & op(e2, e1) = v12 & op(e2, e0) = v11 & % 68.22/10.66 op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = v7 & op(e1, e1) = v5 & % 68.22/10.66 op(e1, e0) = v6 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & % 68.22/10.66 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v69) & $i(v68) & $i(v67) & $i(v66) & % 68.22/10.66 $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & % 68.22/10.66 $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & % 68.22/10.66 $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & % 68.22/10.66 $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & % 68.22/10.66 $i(v37) & $i(v36) & $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) & % 68.22/10.66 $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & % 68.22/10.66 $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & % 68.22/10.66 $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) % 68.22/10.66 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 68.22/10.66 $i(v0) & ( ~ (v20 = e3) | v24 = e4) & ( ~ (v20 = e2) | v23 = e4) & ( ~ (v20 % 68.22/10.66 = e1) | v22 = e4) & ( ~ (v20 = e0) | v21 = e4) & ( ~ (v15 = e4) | v19 = % 68.22/10.66 e3) & ( ~ (v15 = e2) | v18 = e3) & ( ~ (v15 = e1) | v17 = e3) & ( ~ (v15 = % 68.22/10.66 e0) | v16 = e3) & ( ~ (v10 = e4) | v14 = e2) & ( ~ (v10 = e3) | v13 = % 68.22/10.66 e2) & ( ~ (v10 = e1) | v12 = e2) & ( ~ (v10 = e0) | v11 = e2) & ( ~ (v5 = % 68.22/10.66 e4) | v9 = e1) & ( ~ (v5 = e3) | v8 = e1) & ( ~ (v5 = e2) | v7 = e1) & ( % 68.22/10.66 ~ (v5 = e0) | v6 = e1) & ( ~ (v0 = e4) | v4 = e0) & ( ~ (v0 = e3) | v3 = % 68.22/10.66 e0) & ( ~ (v0 = e2) | v2 = e0) & ( ~ (v0 = e1) | v1 = e0) & ((v67 = e4 & % 68.22/10.66 ~ (v68 = e3) & ~ (v24 = v19)) | (v65 = e4 & ~ (v66 = e2) & ~ (v23 = % 68.22/10.66 v14)) | (v63 = e4 & ~ (v64 = e1) & ~ (v22 = v9)) | (v61 = e4 & ~ % 68.22/10.66 (v62 = e0) & ~ (v21 = v4)) | (v59 = e3 & ~ (v60 = e4) & ~ (v24 = % 68.22/10.66 v19)) | (v56 = e3 & ~ (v57 = e2) & ~ (v18 = v13)) | (v54 = e3 & ~ % 68.22/10.66 (v55 = e1) & ~ (v17 = v8)) | (v52 = e3 & ~ (v53 = e0) & ~ (v16 = v3)) % 68.22/10.66 | (v50 = e2 & ~ (v51 = e4) & ~ (v23 = v14)) | (v48 = e2 & ~ (v49 = e3) % 68.22/10.66 & ~ (v18 = v13)) | (v45 = e2 & ~ (v46 = e1) & ~ (v12 = v7)) | (v43 = % 68.22/10.66 e2 & ~ (v44 = e0) & ~ (v11 = v2)) | (v41 = e1 & ~ (v42 = e4) & ~ % 68.22/10.66 (v22 = v9)) | (v39 = e1 & ~ (v40 = e3) & ~ (v17 = v8)) | (v37 = e1 & % 68.22/10.66 ~ (v38 = e2) & ~ (v12 = v7)) | (v34 = e1 & ~ (v35 = e0) & ~ (v6 = % 68.22/10.66 v1)) | (v32 = e0 & ~ (v33 = e4) & ~ (v21 = v4)) | (v30 = e0 & ~ % 68.22/10.66 (v31 = e3) & ~ (v16 = v3)) | (v28 = e0 & ~ (v29 = e2) & ~ (v11 = v2)) % 68.22/10.66 | (v26 = e0 & ~ (v27 = e1) & ~ (v6 = v1)))) % 68.22/10.66 % 68.22/10.66 (function-axioms) % 68.22/10.66 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3, % 68.22/10.66 v2) = v1) | ~ (op(v3, v2) = v0)) % 68.22/10.66 % 68.22/10.66 Those formulas are unsatisfiable: % 68.22/10.66 --------------------------------- % 68.22/10.66 % 68.22/10.66 Begin of proof % 68.22/10.66 | % 68.22/10.66 | ALPHA: (ax1) implies: % 68.45/10.67 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 68.45/10.67 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 68.45/10.67 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 68.45/10.67 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: % 68.45/10.67 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? % 68.45/10.67 | [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = v22 & % 68.45/10.67 | op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) = % 68.45/10.67 | v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2, % 68.45/10.67 | e4) = v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11 % 68.45/10.67 | & op(e2, e0) = v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = % 68.45/10.67 | v7 & op(e1, e1) = v6 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) % 68.45/10.67 | = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) % 68.45/10.67 | & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) % 68.45/10.67 | & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) % 68.45/10.67 | & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & % 68.45/10.67 | $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 | v24 = e2 | v24 = e1 % 68.45/10.67 | | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 = e1 | v23 = % 68.45/10.67 | e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) & (v21 % 68.45/10.67 | = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20 % 68.45/10.67 | = e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19 % 68.45/10.67 | = e2 | v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18 % 68.45/10.67 | = e1 | v18 = e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17 % 68.45/10.67 | = e0) & (v16 = e4 | v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) & % 68.45/10.67 | (v15 = e4 | v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v14 = e4 | % 68.45/10.67 | v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e4 | v13 = e3 | % 68.45/10.67 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e4 | v12 = e3 | v12 = e2 | % 68.45/10.67 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 | v11 = e2 | v11 = e1 | % 68.45/10.67 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) % 68.45/10.67 | & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e4 | v8 = % 68.45/10.67 | e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2 | % 68.45/10.67 | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 = % 68.45/10.67 | e0) & (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4 % 68.45/10.67 | | v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3 % 68.45/10.67 | = e2 | v3 = e1 | v3 = e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1 % 68.45/10.67 | | v2 = e0) & (v1 = e4 | v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) & % 68.45/10.67 | (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0)) % 68.45/10.67 | % 68.45/10.67 | ALPHA: (ax2) implies: % 68.45/10.67 | (2) op(e0, unit) = e0 % 68.45/10.67 | (3) op(e1, unit) = e1 % 68.45/10.67 | (4) op(e2, unit) = e2 % 68.45/10.67 | (5) op(e3, unit) = e3 % 68.45/10.67 | (6) op(e4, unit) = e4 % 68.45/10.67 | (7) op(unit, e0) = e0 % 68.45/10.67 | (8) op(unit, e1) = e1 % 68.45/10.67 | (9) op(unit, e2) = e2 % 68.45/10.67 | (10) op(unit, e3) = e3 % 68.45/10.68 | (11) op(unit, e4) = e4 % 68.45/10.68 | (12) unit = e4 | unit = e3 | unit = e2 | unit = e1 | unit = e0 % 68.45/10.68 | % 68.45/10.68 | ALPHA: (ax3) implies: % 68.45/10.69 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 68.45/10.69 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 68.45/10.69 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 68.45/10.69 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 68.45/10.69 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 68.45/10.69 | : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = % 68.45/10.69 | v20 & op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3, % 68.45/10.69 | e3) = v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7 % 68.45/10.69 | & op(e2, e4) = v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2, % 68.45/10.69 | e1) = v13 & op(e2, e0) = v6 & op(e1, e4) = v12 & op(e1, e3) = v11 % 68.45/10.69 | & op(e1, e2) = v10 & op(e1, e1) = v9 & op(e1, e0) = v5 & op(e0, e4) % 68.45/10.69 | = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, % 68.45/10.69 | e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & % 68.45/10.69 | $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) % 68.45/10.69 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 68.45/10.69 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | % 68.45/10.69 | v23 = e4 | v20 = e4 | v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 | % 68.45/10.69 | v18 = e4 | v12 = e4 | v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 | % 68.45/10.69 | v15 = e3 | v8 = e3) & (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 | % 68.45/10.69 | v4 = e3) & (v24 = e2 | v23 = e2 | v20 = e2 | v15 = e2 | v8 = e2) & % 68.45/10.69 | (v24 = e2 | v22 = e2 | v18 = e2 | v12 = e2 | v4 = e2) & (v24 = e1 | % 68.45/10.69 | v23 = e1 | v20 = e1 | v15 = e1 | v8 = e1) & (v24 = e1 | v22 = e1 | % 68.45/10.69 | v18 = e1 | v12 = e1 | v4 = e1) & (v24 = e0 | v23 = e0 | v20 = e0 | % 68.45/10.69 | v15 = e0 | v8 = e0) & (v24 = e0 | v22 = e0 | v18 = e0 | v12 = e0 | % 68.45/10.69 | v4 = e0) & (v23 = e4 | v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) & % 68.45/10.69 | (v23 = e3 | v21 = e3 | v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 | % 68.45/10.69 | v21 = e2 | v17 = e2 | v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 | % 68.45/10.69 | v17 = e1 | v11 = e1 | v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 | % 68.45/10.69 | v11 = e0 | v3 = e0) & (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 | % 68.45/10.69 | v7 = e4) & (v22 = e3 | v21 = e3 | v19 = e3 | v14 = e3 | v7 = e3) & % 68.45/10.69 | (v22 = e2 | v21 = e2 | v19 = e2 | v14 = e2 | v7 = e2) & (v22 = e1 | % 68.45/10.69 | v21 = e1 | v19 = e1 | v14 = e1 | v7 = e1) & (v22 = e0 | v21 = e0 | % 68.45/10.69 | v19 = e0 | v14 = e0 | v7 = e0) & (v20 = e4 | v19 = e4 | v16 = e4 | % 68.45/10.69 | v10 = e4 | v2 = e4) & (v20 = e3 | v19 = e3 | v16 = e3 | v10 = e3 | % 68.45/10.69 | v2 = e3) & (v20 = e2 | v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) & % 68.45/10.69 | (v20 = e1 | v19 = e1 | v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 | % 68.45/10.69 | v19 = e0 | v16 = e0 | v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 | % 68.45/10.69 | v16 = e4 | v13 = e4 | v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 | % 68.45/10.69 | v13 = e3 | v6 = e3) & (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 | % 68.45/10.69 | v6 = e2) & (v18 = e1 | v17 = e1 | v16 = e1 | v13 = e1 | v6 = e1) & % 68.45/10.69 | (v18 = e0 | v17 = e0 | v16 = e0 | v13 = e0 | v6 = e0) & (v15 = e4 | % 68.45/10.69 | v14 = e4 | v13 = e4 | v9 = e4 | v1 = e4) & (v15 = e3 | v14 = e3 | % 68.45/10.69 | v13 = e3 | v9 = e3 | v1 = e3) & (v15 = e2 | v14 = e2 | v13 = e2 | % 68.45/10.69 | v9 = e2 | v1 = e2) & (v15 = e1 | v14 = e1 | v13 = e1 | v9 = e1 | % 68.45/10.69 | v1 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v9 = e0 | v1 = e0) & % 68.45/10.69 | (v12 = e4 | v11 = e4 | v10 = e4 | v9 = e4 | v5 = e4) & (v12 = e3 | % 68.45/10.69 | v11 = e3 | v10 = e3 | v9 = e3 | v5 = e3) & (v12 = e2 | v11 = e2 | % 68.45/10.69 | v10 = e2 | v9 = e2 | v5 = e2) & (v12 = e1 | v11 = e1 | v10 = e1 | % 68.45/10.69 | v9 = e1 | v5 = e1) & (v12 = e0 | v11 = e0 | v10 = e0 | v9 = e0 | % 68.45/10.69 | v5 = e0) & (v8 = e4 | v7 = e4 | v6 = e4 | v5 = e4 | v0 = e4) & (v8 % 68.45/10.69 | = e3 | v7 = e3 | v6 = e3 | v5 = e3 | v0 = e3) & (v8 = e2 | v7 = e2 % 68.45/10.69 | | v6 = e2 | v5 = e2 | v0 = e2) & (v8 = e1 | v7 = e1 | v6 = e1 | v5 % 68.45/10.69 | = e1 | v0 = e1) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 = e4 | v0 = % 68.45/10.69 | e4) & (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 = e2 % 68.45/10.69 | | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2 % 68.45/10.69 | = e1 | v1 = e1 | v0 = e1) & (v0 = e0 | ((v8 = e0 | v7 = e0 | v6 = % 68.45/10.69 | e0 | v5 = e0) & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0)))) % 68.45/10.69 | % 68.45/10.69 | ALPHA: (ax4) implies: % 68.45/10.70 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 68.45/10.70 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 68.45/10.70 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 68.45/10.70 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 68.45/10.70 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 68.45/10.70 | : ? [v24: $i] : ( ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v21) & % 68.45/10.70 | ~ (v24 = v20) & ~ (v24 = v19) & ~ (v24 = v14) & ~ (v24 = v9) & ~ % 68.45/10.70 | (v24 = v4) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~ % 68.45/10.70 | (v23 = v18) & ~ (v23 = v13) & ~ (v23 = v8) & ~ (v23 = v3) & ~ % 68.45/10.70 | (v22 = v21) & ~ (v22 = v20) & ~ (v22 = v17) & ~ (v22 = v12) & ~ % 68.45/10.70 | (v22 = v7) & ~ (v22 = v2) & ~ (v21 = v20) & ~ (v21 = v16) & ~ % 68.45/10.70 | (v21 = v11) & ~ (v21 = v6) & ~ (v21 = v1) & ~ (v20 = v15) & ~ % 68.45/10.70 | (v20 = v10) & ~ (v20 = v5) & ~ (v20 = v0) & ~ (v19 = v18) & ~ % 68.45/10.70 | (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 = v14) & ~ % 68.45/10.70 | (v19 = v9) & ~ (v19 = v4) & ~ (v18 = v17) & ~ (v18 = v16) & ~ % 68.45/10.70 | (v18 = v15) & ~ (v18 = v13) & ~ (v18 = v8) & ~ (v18 = v3) & ~ % 68.45/10.70 | (v17 = v16) & ~ (v17 = v15) & ~ (v17 = v12) & ~ (v17 = v7) & ~ % 68.45/10.70 | (v17 = v2) & ~ (v16 = v15) & ~ (v16 = v11) & ~ (v16 = v6) & ~ % 68.45/10.70 | (v16 = v1) & ~ (v15 = v10) & ~ (v15 = v5) & ~ (v15 = v0) & ~ % 68.45/10.70 | (v14 = v13) & ~ (v14 = v12) & ~ (v14 = v11) & ~ (v14 = v10) & ~ % 68.45/10.70 | (v14 = v9) & ~ (v14 = v4) & ~ (v13 = v12) & ~ (v13 = v11) & ~ % 68.45/10.70 | (v13 = v10) & ~ (v13 = v8) & ~ (v13 = v3) & ~ (v12 = v11) & ~ % 68.45/10.70 | (v12 = v10) & ~ (v12 = v7) & ~ (v12 = v2) & ~ (v11 = v10) & ~ % 68.45/10.70 | (v11 = v6) & ~ (v11 = v1) & ~ (v10 = v5) & ~ (v10 = v0) & ~ (v9 % 68.45/10.70 | = v8) & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = v4) % 68.45/10.70 | & ~ (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v3) & ~ (v7 % 68.45/10.70 | = v6) & ~ (v7 = v5) & ~ (v7 = v2) & ~ (v6 = v5) & ~ (v6 = v1) % 68.45/10.70 | & ~ (v5 = v0) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 % 68.45/10.70 | = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) % 68.45/10.70 | & ~ (v2 = v0) & ~ (v1 = v0) & op(e4, e4) = v24 & op(e4, e3) = v19 % 68.45/10.70 | & op(e4, e2) = v14 & op(e4, e1) = v9 & op(e4, e0) = v4 & op(e3, e4) % 68.45/10.70 | = v23 & op(e3, e3) = v18 & op(e3, e2) = v13 & op(e3, e1) = v8 & % 68.45/10.70 | op(e3, e0) = v3 & op(e2, e4) = v22 & op(e2, e3) = v17 & op(e2, e2) = % 68.45/10.70 | v12 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 & op(e1, % 68.45/10.70 | e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 & % 68.45/10.70 | op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1) % 68.45/10.70 | = v5 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & % 68.45/10.70 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) % 68.45/10.70 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 68.45/10.70 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 68.45/10.70 | % 68.45/10.70 | ALPHA: (ax5) implies: % 68.45/10.70 | (15) ~ (e3 = e0) % 68.45/10.70 | (16) ~ (e3 = e1) % 68.45/10.70 | (17) ~ (e3 = e2) % 68.45/10.70 | (18) ~ (e4 = e0) % 68.45/10.70 | (19) ~ (e4 = e1) % 68.45/10.70 | (20) ~ (e4 = e3) % 68.45/10.70 | % 68.45/10.70 | ALPHA: (ax6) implies: % 68.45/10.70 | (21) op(e1, e1) = e0 % 68.45/10.70 | (22) op(e2, e4) = e3 % 68.45/10.70 | (23) op(e4, e2) = e1 % 68.45/10.70 | % 68.45/10.70 | ALPHA: (co1) implies: % 68.45/10.71 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 68.45/10.71 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 68.45/10.71 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 68.45/10.71 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? % 68.45/10.71 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] % 68.45/10.71 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: % 68.45/10.72 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? % 68.45/10.72 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] % 68.45/10.72 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: % 68.45/10.72 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? % 68.45/10.72 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] % 68.45/10.72 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: % 68.45/10.72 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? % 68.45/10.72 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i] % 68.45/10.72 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : (op(v24, % 68.45/10.72 | e4) = v68 & op(v24, e3) = v67 & op(v23, e4) = v66 & op(v23, e2) = % 68.45/10.72 | v65 & op(v22, e4) = v64 & op(v22, e1) = v63 & op(v21, e4) = v62 & % 68.45/10.72 | op(v21, e0) = v61 & op(v20, e4) = v69 & op(v19, e4) = v59 & op(v19, % 68.45/10.72 | e3) = v60 & op(v18, e3) = v57 & op(v18, e2) = v56 & op(v17, e3) = % 68.45/10.72 | v55 & op(v17, e1) = v54 & op(v16, e3) = v53 & op(v16, e0) = v52 & % 68.45/10.72 | op(v15, e3) = v58 & op(v14, e4) = v50 & op(v14, e2) = v51 & op(v13, % 68.45/10.72 | e3) = v48 & op(v13, e2) = v49 & op(v12, e2) = v46 & op(v12, e1) = % 68.45/10.72 | v45 & op(v11, e2) = v44 & op(v11, e0) = v43 & op(v10, e2) = v47 & % 68.45/10.72 | op(v9, e4) = v41 & op(v9, e1) = v42 & op(v8, e3) = v39 & op(v8, e1) % 68.45/10.72 | = v40 & op(v7, e2) = v37 & op(v7, e1) = v38 & op(v6, e1) = v35 & % 68.45/10.72 | op(v6, e0) = v34 & op(v5, e1) = v36 & op(v4, e4) = v32 & op(v4, e0) % 68.45/10.72 | = v33 & op(v3, e3) = v30 & op(v3, e0) = v31 & op(v2, e2) = v28 & % 68.45/10.72 | op(v2, e0) = v29 & op(v1, e1) = v26 & op(v1, e0) = v27 & op(v0, e0) % 68.45/10.72 | = v25 & op(e4, e4) = v20 & op(e4, e3) = v24 & op(e4, e2) = v23 & % 68.45/10.72 | op(e4, e1) = v22 & op(e4, e0) = v21 & op(e3, e4) = v19 & op(e3, e3) % 68.45/10.72 | = v15 & op(e3, e2) = v18 & op(e3, e1) = v17 & op(e3, e0) = v16 & % 68.45/10.72 | op(e2, e4) = v14 & op(e2, e3) = v13 & op(e2, e2) = v10 & op(e2, e1) % 68.45/10.72 | = v12 & op(e2, e0) = v11 & op(e1, e4) = v9 & op(e1, e3) = v8 & % 68.45/10.72 | op(e1, e2) = v7 & op(e1, e1) = v5 & op(e1, e0) = v6 & op(e0, e4) = % 68.45/10.72 | v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, % 68.45/10.72 | e0) = v0 & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) & % 68.45/10.72 | $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & $i(v58) % 68.45/10.72 | & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & % 68.45/10.72 | $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) % 68.45/10.72 | & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) & % 68.45/10.72 | $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) & $i(v33) & $i(v32) % 68.45/10.72 | & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & % 68.45/10.72 | $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) % 68.45/10.72 | & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & % 68.45/10.72 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 68.45/10.72 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v20 = e3) % 68.45/10.72 | | v24 = e4) & ( ~ (v20 = e2) | v23 = e4) & ( ~ (v20 = e1) | v22 = % 68.45/10.72 | e4) & ( ~ (v20 = e0) | v21 = e4) & ( ~ (v15 = e4) | v19 = e3) & ( % 68.45/10.72 | ~ (v15 = e2) | v18 = e3) & ( ~ (v15 = e1) | v17 = e3) & ( ~ (v15 = % 68.45/10.72 | e0) | v16 = e3) & ( ~ (v10 = e4) | v14 = e2) & ( ~ (v10 = e3) | % 68.45/10.72 | v13 = e2) & ( ~ (v10 = e1) | v12 = e2) & ( ~ (v10 = e0) | v11 = % 68.45/10.72 | e2) & ( ~ (v5 = e4) | v9 = e1) & ( ~ (v5 = e3) | v8 = e1) & ( ~ % 68.45/10.72 | (v5 = e2) | v7 = e1) & ( ~ (v5 = e0) | v6 = e1) & ( ~ (v0 = e4) | % 68.45/10.72 | v4 = e0) & ( ~ (v0 = e3) | v3 = e0) & ( ~ (v0 = e2) | v2 = e0) & ( % 68.45/10.72 | ~ (v0 = e1) | v1 = e0) & ((v67 = e4 & ~ (v68 = e3) & ~ (v24 = % 68.45/10.72 | v19)) | (v65 = e4 & ~ (v66 = e2) & ~ (v23 = v14)) | (v63 = % 68.45/10.72 | e4 & ~ (v64 = e1) & ~ (v22 = v9)) | (v61 = e4 & ~ (v62 = e0) % 68.45/10.72 | & ~ (v21 = v4)) | (v59 = e3 & ~ (v60 = e4) & ~ (v24 = v19)) | % 68.45/10.72 | (v56 = e3 & ~ (v57 = e2) & ~ (v18 = v13)) | (v54 = e3 & ~ (v55 % 68.45/10.72 | = e1) & ~ (v17 = v8)) | (v52 = e3 & ~ (v53 = e0) & ~ (v16 = % 68.45/10.72 | v3)) | (v50 = e2 & ~ (v51 = e4) & ~ (v23 = v14)) | (v48 = e2 % 68.45/10.72 | & ~ (v49 = e3) & ~ (v18 = v13)) | (v45 = e2 & ~ (v46 = e1) & % 68.45/10.72 | ~ (v12 = v7)) | (v43 = e2 & ~ (v44 = e0) & ~ (v11 = v2)) | % 68.45/10.72 | (v41 = e1 & ~ (v42 = e4) & ~ (v22 = v9)) | (v39 = e1 & ~ (v40 = % 68.45/10.72 | e3) & ~ (v17 = v8)) | (v37 = e1 & ~ (v38 = e2) & ~ (v12 = % 68.45/10.72 | v7)) | (v34 = e1 & ~ (v35 = e0) & ~ (v6 = v1)) | (v32 = e0 & % 68.45/10.72 | ~ (v33 = e4) & ~ (v21 = v4)) | (v30 = e0 & ~ (v31 = e3) & ~ % 68.45/10.72 | (v16 = v3)) | (v28 = e0 & ~ (v29 = e2) & ~ (v11 = v2)) | (v26 % 68.45/10.72 | = e0 & ~ (v27 = e1) & ~ (v6 = v1)))) % 68.45/10.72 | % 68.45/10.72 | DELTA: instantiating (14) with fresh symbols all_4_0, all_4_1, all_4_2, % 68.45/10.72 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9, % 68.45/10.72 | all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16, % 68.45/10.72 | all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23, % 68.45/10.72 | all_4_24 gives: % 68.45/10.72 | (25) ~ (all_4_0 = all_4_1) & ~ (all_4_0 = all_4_2) & ~ (all_4_0 = % 68.45/10.72 | all_4_3) & ~ (all_4_0 = all_4_4) & ~ (all_4_0 = all_4_5) & ~ % 68.45/10.72 | (all_4_0 = all_4_10) & ~ (all_4_0 = all_4_15) & ~ (all_4_0 = % 68.45/10.72 | all_4_20) & ~ (all_4_1 = all_4_2) & ~ (all_4_1 = all_4_3) & ~ % 68.45/10.72 | (all_4_1 = all_4_4) & ~ (all_4_1 = all_4_6) & ~ (all_4_1 = all_4_11) % 68.45/10.72 | & ~ (all_4_1 = all_4_16) & ~ (all_4_1 = all_4_21) & ~ (all_4_2 = % 68.45/10.72 | all_4_3) & ~ (all_4_2 = all_4_4) & ~ (all_4_2 = all_4_7) & ~ % 68.45/10.72 | (all_4_2 = all_4_12) & ~ (all_4_2 = all_4_17) & ~ (all_4_2 = % 68.45/10.72 | all_4_22) & ~ (all_4_3 = all_4_4) & ~ (all_4_3 = all_4_8) & ~ % 68.45/10.72 | (all_4_3 = all_4_13) & ~ (all_4_3 = all_4_18) & ~ (all_4_3 = % 68.45/10.72 | all_4_23) & ~ (all_4_4 = all_4_9) & ~ (all_4_4 = all_4_14) & ~ % 68.45/10.72 | (all_4_4 = all_4_19) & ~ (all_4_4 = all_4_24) & ~ (all_4_5 = % 68.45/10.72 | all_4_6) & ~ (all_4_5 = all_4_7) & ~ (all_4_5 = all_4_8) & ~ % 68.45/10.72 | (all_4_5 = all_4_9) & ~ (all_4_5 = all_4_10) & ~ (all_4_5 = % 68.45/10.72 | all_4_15) & ~ (all_4_5 = all_4_20) & ~ (all_4_6 = all_4_7) & ~ % 68.45/10.72 | (all_4_6 = all_4_8) & ~ (all_4_6 = all_4_9) & ~ (all_4_6 = all_4_11) % 68.45/10.72 | & ~ (all_4_6 = all_4_16) & ~ (all_4_6 = all_4_21) & ~ (all_4_7 = % 68.45/10.72 | all_4_8) & ~ (all_4_7 = all_4_9) & ~ (all_4_7 = all_4_12) & ~ % 68.45/10.72 | (all_4_7 = all_4_17) & ~ (all_4_7 = all_4_22) & ~ (all_4_8 = % 68.45/10.72 | all_4_9) & ~ (all_4_8 = all_4_13) & ~ (all_4_8 = all_4_18) & ~ % 68.45/10.72 | (all_4_8 = all_4_23) & ~ (all_4_9 = all_4_14) & ~ (all_4_9 = % 68.45/10.72 | all_4_19) & ~ (all_4_9 = all_4_24) & ~ (all_4_10 = all_4_11) & ~ % 68.45/10.72 | (all_4_10 = all_4_12) & ~ (all_4_10 = all_4_13) & ~ (all_4_10 = % 68.45/10.72 | all_4_14) & ~ (all_4_10 = all_4_15) & ~ (all_4_10 = all_4_20) & ~ % 68.45/10.72 | (all_4_11 = all_4_12) & ~ (all_4_11 = all_4_13) & ~ (all_4_11 = % 68.45/10.72 | all_4_14) & ~ (all_4_11 = all_4_16) & ~ (all_4_11 = all_4_21) & ~ % 68.45/10.72 | (all_4_12 = all_4_13) & ~ (all_4_12 = all_4_14) & ~ (all_4_12 = % 68.45/10.72 | all_4_17) & ~ (all_4_12 = all_4_22) & ~ (all_4_13 = all_4_14) & ~ % 68.45/10.72 | (all_4_13 = all_4_18) & ~ (all_4_13 = all_4_23) & ~ (all_4_14 = % 68.45/10.72 | all_4_19) & ~ (all_4_14 = all_4_24) & ~ (all_4_15 = all_4_16) & ~ % 68.45/10.72 | (all_4_15 = all_4_17) & ~ (all_4_15 = all_4_18) & ~ (all_4_15 = % 68.45/10.72 | all_4_19) & ~ (all_4_15 = all_4_20) & ~ (all_4_16 = all_4_17) & ~ % 68.45/10.72 | (all_4_16 = all_4_18) & ~ (all_4_16 = all_4_19) & ~ (all_4_16 = % 68.45/10.72 | all_4_21) & ~ (all_4_17 = all_4_18) & ~ (all_4_17 = all_4_19) & ~ % 68.45/10.72 | (all_4_17 = all_4_22) & ~ (all_4_18 = all_4_19) & ~ (all_4_18 = % 68.45/10.72 | all_4_23) & ~ (all_4_19 = all_4_24) & ~ (all_4_20 = all_4_21) & ~ % 68.45/10.72 | (all_4_20 = all_4_22) & ~ (all_4_20 = all_4_23) & ~ (all_4_20 = % 68.45/10.72 | all_4_24) & ~ (all_4_21 = all_4_22) & ~ (all_4_21 = all_4_23) & ~ % 68.45/10.72 | (all_4_21 = all_4_24) & ~ (all_4_22 = all_4_23) & ~ (all_4_22 = % 68.45/10.72 | all_4_24) & ~ (all_4_23 = all_4_24) & op(e4, e4) = all_4_0 & op(e4, % 68.45/10.72 | e3) = all_4_5 & op(e4, e2) = all_4_10 & op(e4, e1) = all_4_15 & % 68.45/10.72 | op(e4, e0) = all_4_20 & op(e3, e4) = all_4_1 & op(e3, e3) = all_4_6 & % 68.45/10.72 | op(e3, e2) = all_4_11 & op(e3, e1) = all_4_16 & op(e3, e0) = all_4_21 % 68.45/10.72 | & op(e2, e4) = all_4_2 & op(e2, e3) = all_4_7 & op(e2, e2) = all_4_12 % 68.45/10.72 | & op(e2, e1) = all_4_17 & op(e2, e0) = all_4_22 & op(e1, e4) = all_4_3 % 68.45/10.72 | & op(e1, e3) = all_4_8 & op(e1, e2) = all_4_13 & op(e1, e1) = all_4_18 % 68.45/10.72 | & op(e1, e0) = all_4_23 & op(e0, e4) = all_4_4 & op(e0, e3) = all_4_9 % 68.45/10.72 | & op(e0, e2) = all_4_14 & op(e0, e1) = all_4_19 & op(e0, e0) = % 68.45/10.72 | all_4_24 & $i(all_4_0) & $i(all_4_1) & $i(all_4_2) & $i(all_4_3) & % 68.45/10.72 | $i(all_4_4) & $i(all_4_5) & $i(all_4_6) & $i(all_4_7) & $i(all_4_8) & % 68.45/10.72 | $i(all_4_9) & $i(all_4_10) & $i(all_4_11) & $i(all_4_12) & % 68.45/10.72 | $i(all_4_13) & $i(all_4_14) & $i(all_4_15) & $i(all_4_16) & % 68.45/10.72 | $i(all_4_17) & $i(all_4_18) & $i(all_4_19) & $i(all_4_20) & % 68.45/10.72 | $i(all_4_21) & $i(all_4_22) & $i(all_4_23) & $i(all_4_24) % 68.45/10.72 | % 68.45/10.72 | ALPHA: (25) implies: % 68.45/10.72 | (26) ~ (all_4_23 = all_4_24) % 68.45/10.72 | (27) ~ (all_4_22 = all_4_24) % 68.45/10.72 | (28) ~ (all_4_22 = all_4_23) % 68.45/10.72 | (29) ~ (all_4_21 = all_4_24) % 68.45/10.72 | (30) ~ (all_4_21 = all_4_23) % 68.45/10.72 | (31) ~ (all_4_21 = all_4_22) % 68.45/10.72 | (32) ~ (all_4_20 = all_4_24) % 68.45/10.72 | (33) ~ (all_4_20 = all_4_23) % 68.45/10.72 | (34) ~ (all_4_20 = all_4_22) % 68.45/10.72 | (35) ~ (all_4_20 = all_4_21) % 68.45/10.72 | (36) ~ (all_4_19 = all_4_24) % 68.45/10.72 | (37) ~ (all_4_18 = all_4_23) % 68.45/10.72 | (38) ~ (all_4_18 = all_4_19) % 68.45/10.72 | (39) ~ (all_4_17 = all_4_22) % 68.45/10.72 | (40) ~ (all_4_17 = all_4_19) % 68.45/10.72 | (41) ~ (all_4_17 = all_4_18) % 68.45/10.73 | (42) ~ (all_4_16 = all_4_21) % 68.45/10.73 | (43) ~ (all_4_16 = all_4_19) % 68.45/10.73 | (44) ~ (all_4_16 = all_4_18) % 68.45/10.73 | (45) ~ (all_4_16 = all_4_17) % 68.45/10.73 | (46) ~ (all_4_15 = all_4_20) % 68.45/10.73 | (47) ~ (all_4_15 = all_4_19) % 68.45/10.73 | (48) ~ (all_4_15 = all_4_18) % 68.45/10.73 | (49) ~ (all_4_15 = all_4_17) % 68.45/10.73 | (50) ~ (all_4_15 = all_4_16) % 68.45/10.73 | (51) ~ (all_4_14 = all_4_24) % 68.45/10.73 | (52) ~ (all_4_14 = all_4_19) % 68.45/10.73 | (53) ~ (all_4_13 = all_4_23) % 68.45/10.73 | (54) ~ (all_4_13 = all_4_18) % 68.45/10.73 | (55) ~ (all_4_13 = all_4_14) % 68.45/10.73 | (56) ~ (all_4_12 = all_4_22) % 68.45/10.73 | (57) ~ (all_4_12 = all_4_17) % 68.45/10.73 | (58) ~ (all_4_12 = all_4_14) % 68.45/10.73 | (59) ~ (all_4_12 = all_4_13) % 68.45/10.73 | (60) ~ (all_4_11 = all_4_21) % 68.45/10.73 | (61) ~ (all_4_11 = all_4_16) % 68.45/10.73 | (62) ~ (all_4_11 = all_4_14) % 68.45/10.73 | (63) ~ (all_4_11 = all_4_13) % 68.45/10.73 | (64) ~ (all_4_11 = all_4_12) % 68.45/10.73 | (65) ~ (all_4_10 = all_4_15) % 68.45/10.73 | (66) ~ (all_4_10 = all_4_14) % 68.45/10.73 | (67) ~ (all_4_10 = all_4_12) % 68.45/10.73 | (68) ~ (all_4_10 = all_4_11) % 68.45/10.73 | (69) ~ (all_4_9 = all_4_24) % 68.45/10.73 | (70) ~ (all_4_9 = all_4_19) % 68.45/10.73 | (71) ~ (all_4_9 = all_4_14) % 68.45/10.73 | (72) ~ (all_4_8 = all_4_23) % 68.45/10.73 | (73) ~ (all_4_8 = all_4_18) % 68.45/10.73 | (74) ~ (all_4_8 = all_4_13) % 68.45/10.73 | (75) ~ (all_4_8 = all_4_9) % 68.45/10.73 | (76) ~ (all_4_7 = all_4_22) % 68.45/10.73 | (77) ~ (all_4_7 = all_4_17) % 68.45/10.73 | (78) ~ (all_4_7 = all_4_12) % 68.45/10.73 | (79) ~ (all_4_7 = all_4_9) % 68.45/10.73 | (80) ~ (all_4_7 = all_4_8) % 68.45/10.73 | (81) ~ (all_4_6 = all_4_21) % 68.45/10.73 | (82) ~ (all_4_6 = all_4_16) % 68.45/10.73 | (83) ~ (all_4_6 = all_4_11) % 68.45/10.73 | (84) ~ (all_4_6 = all_4_9) % 68.45/10.73 | (85) ~ (all_4_6 = all_4_8) % 68.45/10.73 | (86) ~ (all_4_6 = all_4_7) % 68.45/10.73 | (87) ~ (all_4_5 = all_4_20) % 68.45/10.73 | (88) ~ (all_4_5 = all_4_15) % 68.45/10.73 | (89) ~ (all_4_5 = all_4_10) % 68.45/10.73 | (90) ~ (all_4_5 = all_4_9) % 68.45/10.73 | (91) ~ (all_4_5 = all_4_8) % 68.45/10.73 | (92) ~ (all_4_5 = all_4_7) % 68.45/10.73 | (93) ~ (all_4_5 = all_4_6) % 68.45/10.73 | (94) ~ (all_4_4 = all_4_24) % 68.45/10.73 | (95) ~ (all_4_4 = all_4_19) % 68.45/10.73 | (96) ~ (all_4_4 = all_4_14) % 68.45/10.73 | (97) ~ (all_4_4 = all_4_9) % 68.45/10.73 | (98) ~ (all_4_3 = all_4_23) % 68.45/10.73 | (99) ~ (all_4_3 = all_4_18) % 68.45/10.73 | (100) ~ (all_4_3 = all_4_13) % 68.45/10.73 | (101) ~ (all_4_3 = all_4_8) % 68.45/10.73 | (102) ~ (all_4_3 = all_4_4) % 68.45/10.73 | (103) ~ (all_4_2 = all_4_22) % 68.45/10.73 | (104) ~ (all_4_2 = all_4_17) % 68.45/10.73 | (105) ~ (all_4_2 = all_4_12) % 68.45/10.73 | (106) ~ (all_4_2 = all_4_7) % 68.45/10.73 | (107) ~ (all_4_2 = all_4_4) % 68.45/10.73 | (108) ~ (all_4_2 = all_4_3) % 68.45/10.73 | (109) ~ (all_4_1 = all_4_21) % 68.45/10.73 | (110) ~ (all_4_1 = all_4_16) % 68.45/10.73 | (111) ~ (all_4_1 = all_4_11) % 68.45/10.73 | (112) ~ (all_4_1 = all_4_6) % 68.45/10.73 | (113) ~ (all_4_1 = all_4_4) % 68.45/10.73 | (114) ~ (all_4_1 = all_4_3) % 68.45/10.73 | (115) ~ (all_4_1 = all_4_2) % 68.45/10.73 | (116) ~ (all_4_0 = all_4_20) % 68.45/10.73 | (117) ~ (all_4_0 = all_4_15) % 68.45/10.73 | (118) ~ (all_4_0 = all_4_10) % 68.45/10.73 | (119) ~ (all_4_0 = all_4_5) % 68.45/10.73 | (120) ~ (all_4_0 = all_4_4) % 68.45/10.73 | (121) ~ (all_4_0 = all_4_3) % 68.45/10.73 | (122) ~ (all_4_0 = all_4_2) % 68.45/10.73 | (123) ~ (all_4_0 = all_4_1) % 68.45/10.73 | (124) op(e0, e0) = all_4_24 % 68.45/10.73 | (125) op(e0, e1) = all_4_19 % 68.45/10.73 | (126) op(e0, e2) = all_4_14 % 68.45/10.73 | (127) op(e0, e3) = all_4_9 % 68.45/10.73 | (128) op(e0, e4) = all_4_4 % 68.45/10.73 | (129) op(e1, e0) = all_4_23 % 68.45/10.73 | (130) op(e1, e1) = all_4_18 % 68.45/10.73 | (131) op(e1, e2) = all_4_13 % 68.45/10.73 | (132) op(e1, e3) = all_4_8 % 68.45/10.73 | (133) op(e1, e4) = all_4_3 % 68.45/10.73 | (134) op(e2, e0) = all_4_22 % 68.45/10.73 | (135) op(e2, e1) = all_4_17 % 68.45/10.73 | (136) op(e2, e2) = all_4_12 % 68.45/10.73 | (137) op(e2, e3) = all_4_7 % 68.45/10.73 | (138) op(e2, e4) = all_4_2 % 68.45/10.73 | (139) op(e3, e0) = all_4_21 % 68.45/10.73 | (140) op(e3, e1) = all_4_16 % 68.45/10.73 | (141) op(e3, e2) = all_4_11 % 68.45/10.73 | (142) op(e3, e3) = all_4_6 % 68.45/10.73 | (143) op(e3, e4) = all_4_1 % 68.45/10.73 | (144) op(e4, e0) = all_4_20 % 68.45/10.73 | (145) op(e4, e1) = all_4_15 % 68.45/10.73 | (146) op(e4, e2) = all_4_10 % 68.45/10.74 | (147) op(e4, e3) = all_4_5 % 68.45/10.74 | (148) op(e4, e4) = all_4_0 % 68.45/10.74 | % 68.45/10.74 | DELTA: instantiating (1) with fresh symbols all_6_0, all_6_1, all_6_2, % 68.45/10.74 | all_6_3, all_6_4, all_6_5, all_6_6, all_6_7, all_6_8, all_6_9, % 68.45/10.74 | all_6_10, all_6_11, all_6_12, all_6_13, all_6_14, all_6_15, all_6_16, % 68.45/10.74 | all_6_17, all_6_18, all_6_19, all_6_20, all_6_21, all_6_22, all_6_23, % 68.45/10.74 | all_6_24 gives: % 68.45/10.74 | (149) op(e4, e4) = all_6_0 & op(e4, e3) = all_6_1 & op(e4, e2) = all_6_2 & % 68.45/10.74 | op(e4, e1) = all_6_3 & op(e4, e0) = all_6_4 & op(e3, e4) = all_6_5 & % 68.45/10.74 | op(e3, e3) = all_6_6 & op(e3, e2) = all_6_7 & op(e3, e1) = all_6_8 & % 68.45/10.74 | op(e3, e0) = all_6_9 & op(e2, e4) = all_6_10 & op(e2, e3) = all_6_11 % 68.45/10.74 | & op(e2, e2) = all_6_12 & op(e2, e1) = all_6_13 & op(e2, e0) = % 68.45/10.74 | all_6_14 & op(e1, e4) = all_6_15 & op(e1, e3) = all_6_16 & op(e1, e2) % 68.45/10.74 | = all_6_17 & op(e1, e1) = all_6_18 & op(e1, e0) = all_6_19 & op(e0, % 68.45/10.74 | e4) = all_6_20 & op(e0, e3) = all_6_21 & op(e0, e2) = all_6_22 & % 68.45/10.74 | op(e0, e1) = all_6_23 & op(e0, e0) = all_6_24 & $i(all_6_0) & % 68.45/10.74 | $i(all_6_1) & $i(all_6_2) & $i(all_6_3) & $i(all_6_4) & $i(all_6_5) & % 68.45/10.74 | $i(all_6_6) & $i(all_6_7) & $i(all_6_8) & $i(all_6_9) & $i(all_6_10) % 68.45/10.74 | & $i(all_6_11) & $i(all_6_12) & $i(all_6_13) & $i(all_6_14) & % 68.45/10.74 | $i(all_6_15) & $i(all_6_16) & $i(all_6_17) & $i(all_6_18) & % 68.45/10.74 | $i(all_6_19) & $i(all_6_20) & $i(all_6_21) & $i(all_6_22) & % 68.45/10.74 | $i(all_6_23) & $i(all_6_24) & (all_6_0 = e4 | all_6_0 = e3 | all_6_0 % 68.45/10.74 | = e2 | all_6_0 = e1 | all_6_0 = e0) & (all_6_1 = e4 | all_6_1 = e3 % 68.45/10.74 | | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0) & (all_6_2 = e4 | % 68.45/10.74 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0) & % 68.45/10.74 | (all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3 % 68.45/10.74 | = e0) & (all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1 % 68.45/10.74 | | all_6_4 = e0) & (all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | % 68.45/10.74 | all_6_5 = e1 | all_6_5 = e0) & (all_6_6 = e4 | all_6_6 = e3 | % 68.45/10.74 | all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0) & (all_6_7 = e4 | % 68.45/10.74 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 = e0) & % 68.45/10.74 | (all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 % 68.45/10.74 | = e0) & (all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1 % 68.45/10.74 | | all_6_9 = e0) & (all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 | % 68.45/10.74 | all_6_10 = e1 | all_6_10 = e0) & (all_6_11 = e4 | all_6_11 = e3 | % 68.45/10.74 | all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0) & (all_6_12 = e4 | % 68.45/10.74 | all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1 | all_6_12 = e0) & % 68.45/10.74 | (all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 | % 68.45/10.74 | all_6_13 = e0) & (all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 | % 68.45/10.74 | all_6_14 = e1 | all_6_14 = e0) & (all_6_15 = e4 | all_6_15 = e3 | % 68.45/10.74 | all_6_15 = e2 | all_6_15 = e1 | all_6_15 = e0) & (all_6_16 = e4 | % 68.45/10.74 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | all_6_16 = e0) & % 68.45/10.74 | (all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 | % 68.45/10.74 | all_6_17 = e0) & (all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 | % 68.45/10.74 | all_6_18 = e1 | all_6_18 = e0) & (all_6_19 = e4 | all_6_19 = e3 | % 68.45/10.74 | all_6_19 = e2 | all_6_19 = e1 | all_6_19 = e0) & (all_6_20 = e4 | % 68.45/10.74 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20 = e0) & % 68.45/10.74 | (all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 | % 68.45/10.74 | all_6_21 = e0) & (all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | % 68.45/10.74 | all_6_22 = e1 | all_6_22 = e0) & (all_6_23 = e4 | all_6_23 = e3 | % 68.45/10.74 | all_6_23 = e2 | all_6_23 = e1 | all_6_23 = e0) & (all_6_24 = e4 | % 68.45/10.74 | all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 | all_6_24 = e0) % 68.45/10.74 | % 68.45/10.74 | ALPHA: (149) implies: % 68.45/10.74 | (150) op(e0, e0) = all_6_24 % 68.45/10.74 | (151) op(e0, e1) = all_6_23 % 68.45/10.74 | (152) op(e0, e2) = all_6_22 % 68.45/10.74 | (153) op(e0, e3) = all_6_21 % 68.45/10.74 | (154) op(e0, e4) = all_6_20 % 68.45/10.74 | (155) op(e1, e1) = all_6_18 % 68.45/10.74 | (156) op(e1, e2) = all_6_17 % 68.45/10.74 | (157) op(e1, e3) = all_6_16 % 68.45/10.74 | (158) op(e1, e4) = all_6_15 % 68.45/10.74 | (159) op(e2, e0) = all_6_14 % 68.45/10.74 | (160) op(e2, e1) = all_6_13 % 68.45/10.74 | (161) op(e2, e2) = all_6_12 % 68.45/10.74 | (162) op(e2, e3) = all_6_11 % 68.45/10.74 | (163) op(e2, e4) = all_6_10 % 68.45/10.74 | (164) op(e3, e0) = all_6_9 % 68.45/10.74 | (165) op(e3, e1) = all_6_8 % 68.45/10.74 | (166) op(e3, e2) = all_6_7 % 68.45/10.74 | (167) op(e3, e3) = all_6_6 % 68.45/10.74 | (168) op(e3, e4) = all_6_5 % 68.45/10.74 | (169) op(e4, e0) = all_6_4 % 68.45/10.74 | (170) op(e4, e1) = all_6_3 % 68.45/10.74 | (171) op(e4, e2) = all_6_2 % 68.45/10.74 | (172) op(e4, e3) = all_6_1 % 68.45/10.74 | (173) op(e4, e4) = all_6_0 % 68.45/10.74 | (174) all_6_24 = e4 | all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 | % 68.45/10.74 | all_6_24 = e0 % 68.83/10.74 | (175) all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e1 | % 68.83/10.74 | all_6_23 = e0 % 68.83/10.74 | (176) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e1 | % 68.83/10.74 | all_6_22 = e0 % 68.83/10.74 | (177) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 | % 68.83/10.74 | all_6_21 = e0 % 68.83/10.74 | (178) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | % 68.83/10.74 | all_6_20 = e0 % 68.83/10.74 | (179) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 | % 68.83/10.74 | all_6_17 = e0 % 68.83/10.74 | (180) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | % 68.83/10.74 | all_6_16 = e0 % 68.83/10.75 | (181) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1 | % 68.83/10.75 | all_6_15 = e0 % 68.83/10.75 | (182) all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 | all_6_14 = e1 | % 68.83/10.75 | all_6_14 = e0 % 68.83/10.75 | (183) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 | % 68.83/10.75 | all_6_13 = e0 % 68.83/10.75 | (184) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1 | % 68.83/10.75 | all_6_12 = e0 % 68.83/10.75 | (185) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 | % 68.83/10.75 | all_6_11 = e0 % 68.83/10.75 | (186) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1 | all_6_9 = % 68.83/10.75 | e0 % 68.83/10.75 | (187) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 = % 68.83/10.75 | e0 % 68.83/10.75 | (188) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 = % 68.83/10.75 | e0 % 68.83/10.75 | (189) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1 | all_6_6 = % 68.83/10.75 | e0 % 68.83/10.75 | (190) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1 | all_6_5 = % 68.83/10.75 | e0 % 68.83/10.75 | (191) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1 | all_6_4 = % 68.83/10.75 | e0 % 68.83/10.75 | (192) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3 = % 68.83/10.75 | e0 % 68.83/10.75 | (193) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = % 68.83/10.75 | e0 % 68.83/10.75 | (194) all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e1 | all_6_0 = % 68.83/10.75 | e0 % 68.83/10.75 | % 68.83/10.75 | DELTA: instantiating (24) with fresh symbols all_8_0, all_8_1, all_8_2, % 68.83/10.75 | all_8_3, all_8_4, all_8_5, all_8_6, all_8_7, all_8_8, all_8_9, % 68.83/10.75 | all_8_10, all_8_11, all_8_12, all_8_13, all_8_14, all_8_15, all_8_16, % 68.83/10.75 | all_8_17, all_8_18, all_8_19, all_8_20, all_8_21, all_8_22, all_8_23, % 68.83/10.75 | all_8_24, all_8_25, all_8_26, all_8_27, all_8_28, all_8_29, all_8_30, % 68.83/10.75 | all_8_31, all_8_32, all_8_33, all_8_34, all_8_35, all_8_36, all_8_37, % 68.83/10.75 | all_8_38, all_8_39, all_8_40, all_8_41, all_8_42, all_8_43, all_8_44, % 68.83/10.75 | all_8_45, all_8_46, all_8_47, all_8_48, all_8_49, all_8_50, all_8_51, % 68.83/10.75 | all_8_52, all_8_53, all_8_54, all_8_55, all_8_56, all_8_57, all_8_58, % 68.83/10.75 | all_8_59, all_8_60, all_8_61, all_8_62, all_8_63, all_8_64, all_8_65, % 68.83/10.75 | all_8_66, all_8_67, all_8_68, all_8_69 gives: % 68.83/10.75 | (195) op(all_8_45, e4) = all_8_1 & op(all_8_45, e3) = all_8_2 & % 68.83/10.75 | op(all_8_46, e4) = all_8_3 & op(all_8_46, e2) = all_8_4 & % 68.83/10.75 | op(all_8_47, e4) = all_8_5 & op(all_8_47, e1) = all_8_6 & % 68.83/10.75 | op(all_8_48, e4) = all_8_7 & op(all_8_48, e0) = all_8_8 & % 68.83/10.75 | op(all_8_49, e4) = all_8_0 & op(all_8_50, e4) = all_8_10 & % 68.83/10.75 | op(all_8_50, e3) = all_8_9 & op(all_8_51, e3) = all_8_12 & % 68.83/10.75 | op(all_8_51, e2) = all_8_13 & op(all_8_52, e3) = all_8_14 & % 68.83/10.75 | op(all_8_52, e1) = all_8_15 & op(all_8_53, e3) = all_8_16 & % 68.83/10.75 | op(all_8_53, e0) = all_8_17 & op(all_8_54, e3) = all_8_11 & % 68.83/10.75 | op(all_8_55, e4) = all_8_19 & op(all_8_55, e2) = all_8_18 & % 68.83/10.75 | op(all_8_56, e3) = all_8_21 & op(all_8_56, e2) = all_8_20 & % 68.83/10.75 | op(all_8_57, e2) = all_8_23 & op(all_8_57, e1) = all_8_24 & % 68.83/10.75 | op(all_8_58, e2) = all_8_25 & op(all_8_58, e0) = all_8_26 & % 68.83/10.75 | op(all_8_59, e2) = all_8_22 & op(all_8_60, e4) = all_8_28 & % 68.83/10.75 | op(all_8_60, e1) = all_8_27 & op(all_8_61, e3) = all_8_30 & % 68.83/10.75 | op(all_8_61, e1) = all_8_29 & op(all_8_62, e2) = all_8_32 & % 68.83/10.75 | op(all_8_62, e1) = all_8_31 & op(all_8_63, e1) = all_8_34 & % 68.83/10.75 | op(all_8_63, e0) = all_8_35 & op(all_8_64, e1) = all_8_33 & % 68.83/10.75 | op(all_8_65, e4) = all_8_37 & op(all_8_65, e0) = all_8_36 & % 68.83/10.75 | op(all_8_66, e3) = all_8_39 & op(all_8_66, e0) = all_8_38 & % 68.83/10.75 | op(all_8_67, e2) = all_8_41 & op(all_8_67, e0) = all_8_40 & % 68.83/10.75 | op(all_8_68, e1) = all_8_43 & op(all_8_68, e0) = all_8_42 & % 68.83/10.75 | op(all_8_69, e0) = all_8_44 & op(e4, e4) = all_8_49 & op(e4, e3) = % 68.83/10.75 | all_8_45 & op(e4, e2) = all_8_46 & op(e4, e1) = all_8_47 & op(e4, e0) % 68.83/10.75 | = all_8_48 & op(e3, e4) = all_8_50 & op(e3, e3) = all_8_54 & op(e3, % 68.83/10.75 | e2) = all_8_51 & op(e3, e1) = all_8_52 & op(e3, e0) = all_8_53 & % 68.83/10.75 | op(e2, e4) = all_8_55 & op(e2, e3) = all_8_56 & op(e2, e2) = all_8_59 % 68.83/10.75 | & op(e2, e1) = all_8_57 & op(e2, e0) = all_8_58 & op(e1, e4) = % 68.83/10.75 | all_8_60 & op(e1, e3) = all_8_61 & op(e1, e2) = all_8_62 & op(e1, e1) % 68.83/10.75 | = all_8_64 & op(e1, e0) = all_8_63 & op(e0, e4) = all_8_65 & op(e0, % 68.83/10.75 | e3) = all_8_66 & op(e0, e2) = all_8_67 & op(e0, e1) = all_8_68 & % 68.83/10.75 | op(e0, e0) = all_8_69 & $i(all_8_0) & $i(all_8_1) & $i(all_8_2) & % 68.83/10.75 | $i(all_8_3) & $i(all_8_4) & $i(all_8_5) & $i(all_8_6) & $i(all_8_7) & % 68.83/10.75 | $i(all_8_8) & $i(all_8_9) & $i(all_8_10) & $i(all_8_11) & % 68.83/10.75 | $i(all_8_12) & $i(all_8_13) & $i(all_8_14) & $i(all_8_15) & % 68.83/10.75 | $i(all_8_16) & $i(all_8_17) & $i(all_8_18) & $i(all_8_19) & % 68.83/10.75 | $i(all_8_20) & $i(all_8_21) & $i(all_8_22) & $i(all_8_23) & % 68.83/10.75 | $i(all_8_24) & $i(all_8_25) & $i(all_8_26) & $i(all_8_27) & % 68.83/10.75 | $i(all_8_28) & $i(all_8_29) & $i(all_8_30) & $i(all_8_31) & % 68.83/10.75 | $i(all_8_32) & $i(all_8_33) & $i(all_8_34) & $i(all_8_35) & % 68.83/10.75 | $i(all_8_36) & $i(all_8_37) & $i(all_8_38) & $i(all_8_39) & % 68.83/10.75 | $i(all_8_40) & $i(all_8_41) & $i(all_8_42) & $i(all_8_43) & % 68.83/10.75 | $i(all_8_44) & $i(all_8_45) & $i(all_8_46) & $i(all_8_47) & % 68.83/10.75 | $i(all_8_48) & $i(all_8_49) & $i(all_8_50) & $i(all_8_51) & % 68.83/10.75 | $i(all_8_52) & $i(all_8_53) & $i(all_8_54) & $i(all_8_55) & % 68.83/10.75 | $i(all_8_56) & $i(all_8_57) & $i(all_8_58) & $i(all_8_59) & % 68.83/10.75 | $i(all_8_60) & $i(all_8_61) & $i(all_8_62) & $i(all_8_63) & % 68.83/10.75 | $i(all_8_64) & $i(all_8_65) & $i(all_8_66) & $i(all_8_67) & % 68.83/10.75 | $i(all_8_68) & $i(all_8_69) & ( ~ (all_8_49 = e3) | all_8_45 = e4) & % 68.83/10.75 | ( ~ (all_8_49 = e2) | all_8_46 = e4) & ( ~ (all_8_49 = e1) | all_8_47 % 68.83/10.75 | = e4) & ( ~ (all_8_49 = e0) | all_8_48 = e4) & ( ~ (all_8_54 = e4) % 68.83/10.75 | | all_8_50 = e3) & ( ~ (all_8_54 = e2) | all_8_51 = e3) & ( ~ % 68.83/10.75 | (all_8_54 = e1) | all_8_52 = e3) & ( ~ (all_8_54 = e0) | all_8_53 = % 68.83/10.75 | e3) & ( ~ (all_8_59 = e4) | all_8_55 = e2) & ( ~ (all_8_59 = e3) | % 68.83/10.75 | all_8_56 = e2) & ( ~ (all_8_59 = e1) | all_8_57 = e2) & ( ~ % 68.83/10.75 | (all_8_59 = e0) | all_8_58 = e2) & ( ~ (all_8_64 = e4) | all_8_60 = % 68.83/10.75 | e1) & ( ~ (all_8_64 = e3) | all_8_61 = e1) & ( ~ (all_8_64 = e2) | % 68.83/10.75 | all_8_62 = e1) & ( ~ (all_8_64 = e0) | all_8_63 = e1) & ( ~ % 68.83/10.75 | (all_8_69 = e4) | all_8_65 = e0) & ( ~ (all_8_69 = e3) | all_8_66 = % 68.83/10.75 | e0) & ( ~ (all_8_69 = e2) | all_8_67 = e0) & ( ~ (all_8_69 = e1) | % 68.83/10.75 | all_8_68 = e0) & ((all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 % 68.83/10.75 | = all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 % 68.83/10.75 | = all_8_55)) | (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 % 68.83/10.75 | = all_8_60)) | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 % 68.83/10.75 | = all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = e4) & ~ % 68.83/10.75 | (all_8_45 = all_8_50)) | (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ % 68.83/10.75 | (all_8_51 = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = e1) & ~ % 68.83/10.75 | (all_8_52 = all_8_61)) | (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ % 68.83/10.75 | (all_8_53 = all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ % 68.83/10.75 | (all_8_46 = all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 = e3) & ~ % 68.83/10.75 | (all_8_51 = all_8_56)) | (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ % 68.83/10.75 | (all_8_57 = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = e0) & ~ % 68.83/10.75 | (all_8_58 = all_8_67)) | (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ % 68.83/10.75 | (all_8_47 = all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ % 68.83/10.75 | (all_8_52 = all_8_61)) | (all_8_32 = e1 & ~ (all_8_31 = e2) & ~ % 68.83/10.75 | (all_8_57 = all_8_62)) | (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ % 68.83/10.75 | (all_8_63 = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = e4) & ~ % 68.83/10.75 | (all_8_48 = all_8_65)) | (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ % 68.83/10.75 | (all_8_53 = all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ % 68.83/10.75 | (all_8_58 = all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = e1) & ~ % 68.83/10.76 | (all_8_63 = all_8_68))) % 68.83/10.76 | % 68.83/10.76 | ALPHA: (195) implies: % 68.83/10.76 | (196) op(e0, e0) = all_8_69 % 68.83/10.76 | (197) op(e0, e1) = all_8_68 % 68.83/10.76 | (198) op(e0, e2) = all_8_67 % 68.83/10.76 | (199) op(e0, e3) = all_8_66 % 68.83/10.76 | (200) op(e0, e4) = all_8_65 % 68.83/10.76 | (201) op(e1, e0) = all_8_63 % 68.83/10.76 | (202) op(e1, e1) = all_8_64 % 68.83/10.76 | (203) op(e1, e2) = all_8_62 % 68.83/10.76 | (204) op(e1, e3) = all_8_61 % 68.83/10.76 | (205) op(e1, e4) = all_8_60 % 68.83/10.76 | (206) op(e2, e0) = all_8_58 % 68.83/10.76 | (207) op(e2, e1) = all_8_57 % 68.83/10.76 | (208) op(e2, e2) = all_8_59 % 68.83/10.76 | (209) op(e2, e3) = all_8_56 % 68.83/10.76 | (210) op(e2, e4) = all_8_55 % 68.83/10.76 | (211) op(e3, e0) = all_8_53 % 68.83/10.76 | (212) op(e3, e1) = all_8_52 % 68.83/10.76 | (213) op(e3, e2) = all_8_51 % 68.83/10.76 | (214) op(e3, e3) = all_8_54 % 68.83/10.76 | (215) op(e3, e4) = all_8_50 % 68.83/10.76 | (216) op(e4, e0) = all_8_48 % 68.83/10.76 | (217) op(e4, e1) = all_8_47 % 68.83/10.76 | (218) op(e4, e2) = all_8_46 % 68.83/10.76 | (219) op(e4, e3) = all_8_45 % 68.83/10.76 | (220) op(e4, e4) = all_8_49 % 68.83/10.76 | (221) op(all_8_69, e0) = all_8_44 % 68.83/10.76 | (222) op(all_8_68, e0) = all_8_42 % 68.83/10.76 | (223) op(all_8_68, e1) = all_8_43 % 68.83/10.76 | (224) op(all_8_67, e0) = all_8_40 % 68.83/10.76 | (225) op(all_8_67, e2) = all_8_41 % 68.83/10.76 | (226) op(all_8_66, e0) = all_8_38 % 68.83/10.76 | (227) op(all_8_66, e3) = all_8_39 % 68.83/10.76 | (228) op(all_8_65, e0) = all_8_36 % 68.83/10.76 | (229) op(all_8_65, e4) = all_8_37 % 68.83/10.76 | (230) op(all_8_64, e1) = all_8_33 % 68.83/10.76 | (231) op(all_8_63, e1) = all_8_34 % 68.83/10.76 | (232) op(all_8_62, e1) = all_8_31 % 68.83/10.76 | (233) op(all_8_62, e2) = all_8_32 % 68.83/10.76 | (234) op(all_8_61, e1) = all_8_29 % 68.83/10.76 | (235) op(all_8_61, e3) = all_8_30 % 68.83/10.76 | (236) op(all_8_60, e1) = all_8_27 % 68.83/10.76 | (237) op(all_8_60, e4) = all_8_28 % 68.83/10.76 | (238) op(all_8_59, e2) = all_8_22 % 68.83/10.76 | (239) op(all_8_58, e0) = all_8_26 % 68.83/10.76 | (240) op(all_8_58, e2) = all_8_25 % 68.83/10.76 | (241) op(all_8_57, e1) = all_8_24 % 68.83/10.76 | (242) op(all_8_57, e2) = all_8_23 % 68.83/10.76 | (243) op(all_8_56, e2) = all_8_20 % 68.83/10.76 | (244) op(all_8_56, e3) = all_8_21 % 68.83/10.76 | (245) op(all_8_55, e2) = all_8_18 % 68.83/10.76 | (246) op(all_8_55, e4) = all_8_19 % 68.83/10.76 | (247) op(all_8_54, e3) = all_8_11 % 68.83/10.76 | (248) op(all_8_53, e0) = all_8_17 % 68.83/10.76 | (249) op(all_8_53, e3) = all_8_16 % 68.83/10.76 | (250) op(all_8_52, e1) = all_8_15 % 68.83/10.76 | (251) op(all_8_52, e3) = all_8_14 % 68.83/10.76 | (252) op(all_8_51, e2) = all_8_13 % 68.83/10.76 | (253) op(all_8_51, e3) = all_8_12 % 68.83/10.76 | (254) op(all_8_50, e3) = all_8_9 % 68.83/10.76 | (255) op(all_8_50, e4) = all_8_10 % 68.83/10.76 | (256) op(all_8_49, e4) = all_8_0 % 68.83/10.76 | (257) op(all_8_48, e0) = all_8_8 % 68.83/10.76 | (258) op(all_8_48, e4) = all_8_7 % 68.83/10.76 | (259) op(all_8_47, e1) = all_8_6 % 68.83/10.76 | (260) op(all_8_47, e4) = all_8_5 % 68.83/10.76 | (261) op(all_8_46, e2) = all_8_4 % 68.83/10.76 | (262) op(all_8_46, e4) = all_8_3 % 68.83/10.76 | (263) op(all_8_45, e3) = all_8_2 % 68.83/10.76 | (264) op(all_8_45, e4) = all_8_1 % 68.83/10.76 | (265) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = all_8_50)) | % 68.83/10.76 | (all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = all_8_55)) | % 68.83/10.76 | (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 68.83/10.76 | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = all_8_65)) | % 68.83/10.76 | (all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) | % 68.83/10.76 | (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = all_8_56)) | % 68.83/10.76 | (all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 = all_8_61)) | % 68.83/10.76 | (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = all_8_66)) | % 68.83/10.76 | (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 = all_8_55)) | % 68.83/10.76 | (all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = all_8_56)) | % 68.83/10.76 | (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 = all_8_62)) | % 68.83/10.76 | (all_8_26 = e2 & ~ (all_8_25 = e0) & ~ (all_8_58 = all_8_67)) | % 68.83/10.76 | (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = all_8_60)) | % 68.83/10.76 | (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 = all_8_61)) | % 68.83/10.76 | (all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = all_8_62)) | % 68.83/10.76 | (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 = all_8_68)) | % 68.83/10.76 | (all_8_37 = e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = all_8_65)) | % 68.83/10.76 | (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = all_8_66)) | % 68.83/10.76 | (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = all_8_67)) | % 68.83/10.76 | (all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = all_8_68)) % 68.83/10.76 | (266) ~ (all_8_69 = e2) | all_8_67 = e0 % 68.83/10.77 | (267) ~ (all_8_69 = e3) | all_8_66 = e0 % 68.83/10.77 | (268) ~ (all_8_69 = e4) | all_8_65 = e0 % 68.83/10.77 | (269) ~ (all_8_64 = e0) | all_8_63 = e1 % 68.83/10.77 | (270) ~ (all_8_59 = e0) | all_8_58 = e2 % 68.83/10.77 | (271) ~ (all_8_59 = e4) | all_8_55 = e2 % 68.83/10.77 | (272) ~ (all_8_54 = e0) | all_8_53 = e3 % 68.83/10.77 | (273) ~ (all_8_54 = e1) | all_8_52 = e3 % 68.83/10.77 | (274) ~ (all_8_54 = e2) | all_8_51 = e3 % 68.83/10.77 | (275) ~ (all_8_54 = e4) | all_8_50 = e3 % 68.83/10.77 | (276) ~ (all_8_49 = e0) | all_8_48 = e4 % 68.83/10.77 | (277) ~ (all_8_49 = e2) | all_8_46 = e4 % 68.83/10.77 | % 68.83/10.77 | DELTA: instantiating (13) with fresh symbols all_10_0, all_10_1, all_10_2, % 68.83/10.77 | all_10_3, all_10_4, all_10_5, all_10_6, all_10_7, all_10_8, all_10_9, % 68.83/10.77 | all_10_10, all_10_11, all_10_12, all_10_13, all_10_14, all_10_15, % 68.83/10.77 | all_10_16, all_10_17, all_10_18, all_10_19, all_10_20, all_10_21, % 68.83/10.77 | all_10_22, all_10_23, all_10_24 gives: % 68.83/10.77 | (278) op(e4, e4) = all_10_0 & op(e4, e3) = all_10_1 & op(e4, e2) = all_10_4 % 68.83/10.77 | & op(e4, e1) = all_10_9 & op(e4, e0) = all_10_16 & op(e3, e4) = % 68.83/10.77 | all_10_2 & op(e3, e3) = all_10_3 & op(e3, e2) = all_10_5 & op(e3, e1) % 68.83/10.77 | = all_10_10 & op(e3, e0) = all_10_17 & op(e2, e4) = all_10_6 & op(e2, % 68.83/10.77 | e3) = all_10_7 & op(e2, e2) = all_10_8 & op(e2, e1) = all_10_11 & % 68.83/10.77 | op(e2, e0) = all_10_18 & op(e1, e4) = all_10_12 & op(e1, e3) = % 68.83/10.77 | all_10_13 & op(e1, e2) = all_10_14 & op(e1, e1) = all_10_15 & op(e1, % 68.83/10.77 | e0) = all_10_19 & op(e0, e4) = all_10_20 & op(e0, e3) = all_10_21 & % 68.83/10.77 | op(e0, e2) = all_10_22 & op(e0, e1) = all_10_23 & op(e0, e0) = % 68.83/10.77 | all_10_24 & $i(all_10_0) & $i(all_10_1) & $i(all_10_2) & $i(all_10_3) % 68.83/10.77 | & $i(all_10_4) & $i(all_10_5) & $i(all_10_6) & $i(all_10_7) & % 68.83/10.77 | $i(all_10_8) & $i(all_10_9) & $i(all_10_10) & $i(all_10_11) & % 68.83/10.77 | $i(all_10_12) & $i(all_10_13) & $i(all_10_14) & $i(all_10_15) & % 68.83/10.77 | $i(all_10_16) & $i(all_10_17) & $i(all_10_18) & $i(all_10_19) & % 68.83/10.77 | $i(all_10_20) & $i(all_10_21) & $i(all_10_22) & $i(all_10_23) & % 68.83/10.77 | $i(all_10_24) & (all_10_0 = e4 | all_10_1 = e4 | all_10_4 = e4 | % 68.83/10.77 | all_10_9 = e4 | all_10_16 = e4) & (all_10_0 = e4 | all_10_2 = e4 | % 68.83/10.77 | all_10_6 = e4 | all_10_12 = e4 | all_10_20 = e4) & (all_10_0 = e3 | % 68.83/10.77 | all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3) & % 68.83/10.77 | (all_10_0 = e3 | all_10_2 = e3 | all_10_6 = e3 | all_10_12 = e3 | % 68.83/10.77 | all_10_20 = e3) & (all_10_0 = e2 | all_10_1 = e2 | all_10_4 = e2 | % 68.83/10.77 | all_10_9 = e2 | all_10_16 = e2) & (all_10_0 = e2 | all_10_2 = e2 | % 68.83/10.77 | all_10_6 = e2 | all_10_12 = e2 | all_10_20 = e2) & (all_10_0 = e1 | % 68.83/10.77 | all_10_1 = e1 | all_10_4 = e1 | all_10_9 = e1 | all_10_16 = e1) & % 68.83/10.77 | (all_10_0 = e1 | all_10_2 = e1 | all_10_6 = e1 | all_10_12 = e1 | % 68.83/10.77 | all_10_20 = e1) & (all_10_0 = e0 | all_10_1 = e0 | all_10_4 = e0 | % 68.83/10.77 | all_10_9 = e0 | all_10_16 = e0) & (all_10_0 = e0 | all_10_2 = e0 | % 68.83/10.77 | all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0) & (all_10_1 = e4 | % 68.83/10.77 | all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 | all_10_21 = e4) & % 68.83/10.77 | (all_10_1 = e3 | all_10_3 = e3 | all_10_7 = e3 | all_10_13 = e3 | % 68.83/10.77 | all_10_21 = e3) & (all_10_1 = e2 | all_10_3 = e2 | all_10_7 = e2 | % 68.83/10.77 | all_10_13 = e2 | all_10_21 = e2) & (all_10_1 = e1 | all_10_3 = e1 | % 68.83/10.77 | all_10_7 = e1 | all_10_13 = e1 | all_10_21 = e1) & (all_10_1 = e0 | % 68.83/10.77 | all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 | all_10_21 = e0) & % 68.83/10.77 | (all_10_2 = e4 | all_10_3 = e4 | all_10_5 = e4 | all_10_10 = e4 | % 68.83/10.77 | all_10_17 = e4) & (all_10_2 = e3 | all_10_3 = e3 | all_10_5 = e3 | % 68.83/10.77 | all_10_10 = e3 | all_10_17 = e3) & (all_10_2 = e2 | all_10_3 = e2 | % 68.83/10.77 | all_10_5 = e2 | all_10_10 = e2 | all_10_17 = e2) & (all_10_2 = e1 | % 68.83/10.77 | all_10_3 = e1 | all_10_5 = e1 | all_10_10 = e1 | all_10_17 = e1) & % 68.83/10.77 | (all_10_2 = e0 | all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 | % 68.83/10.77 | all_10_17 = e0) & (all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | % 68.83/10.77 | all_10_14 = e4 | all_10_22 = e4) & (all_10_4 = e3 | all_10_5 = e3 | % 68.83/10.77 | all_10_8 = e3 | all_10_14 = e3 | all_10_22 = e3) & (all_10_4 = e2 | % 68.83/10.77 | all_10_5 = e2 | all_10_8 = e2 | all_10_14 = e2 | all_10_22 = e2) & % 68.83/10.77 | (all_10_4 = e1 | all_10_5 = e1 | all_10_8 = e1 | all_10_14 = e1 | % 68.83/10.77 | all_10_22 = e1) & (all_10_4 = e0 | all_10_5 = e0 | all_10_8 = e0 | % 68.83/10.77 | all_10_14 = e0 | all_10_22 = e0) & (all_10_6 = e4 | all_10_7 = e4 | % 68.83/10.77 | all_10_8 = e4 | all_10_11 = e4 | all_10_18 = e4) & (all_10_6 = e3 | % 68.83/10.77 | all_10_7 = e3 | all_10_8 = e3 | all_10_11 = e3 | all_10_18 = e3) & % 68.83/10.77 | (all_10_6 = e2 | all_10_7 = e2 | all_10_8 = e2 | all_10_11 = e2 | % 68.83/10.77 | all_10_18 = e2) & (all_10_6 = e1 | all_10_7 = e1 | all_10_8 = e1 | % 68.83/10.77 | all_10_11 = e1 | all_10_18 = e1) & (all_10_6 = e0 | all_10_7 = e0 | % 68.83/10.77 | all_10_8 = e0 | all_10_11 = e0 | all_10_18 = e0) & (all_10_9 = e4 | % 68.83/10.77 | all_10_10 = e4 | all_10_11 = e4 | all_10_15 = e4 | all_10_23 = e4) % 68.83/10.77 | & (all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 | % 68.83/10.77 | all_10_23 = e3) & (all_10_9 = e2 | all_10_10 = e2 | all_10_11 = e2 % 68.83/10.77 | | all_10_15 = e2 | all_10_23 = e2) & (all_10_9 = e1 | all_10_10 = % 68.83/10.77 | e1 | all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1) & (all_10_9 % 68.83/10.77 | = e0 | all_10_10 = e0 | all_10_11 = e0 | all_10_15 = e0 | all_10_23 % 68.83/10.77 | = e0) & (all_10_12 = e4 | all_10_13 = e4 | all_10_14 = e4 | % 68.83/10.77 | all_10_15 = e4 | all_10_19 = e4) & (all_10_12 = e3 | all_10_13 = e3 % 68.83/10.77 | | all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3) & (all_10_12 = % 68.83/10.77 | e2 | all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 | all_10_19 = % 68.83/10.77 | e2) & (all_10_12 = e1 | all_10_13 = e1 | all_10_14 = e1 | all_10_15 % 68.83/10.77 | = e1 | all_10_19 = e1) & (all_10_12 = e0 | all_10_13 = e0 | % 68.83/10.77 | all_10_14 = e0 | all_10_15 = e0 | all_10_19 = e0) & (all_10_16 = e4 % 68.83/10.77 | | all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 | all_10_24 = % 68.83/10.77 | e4) & (all_10_16 = e3 | all_10_17 = e3 | all_10_18 = e3 | all_10_19 % 68.83/10.77 | = e3 | all_10_24 = e3) & (all_10_16 = e2 | all_10_17 = e2 | % 68.83/10.77 | all_10_18 = e2 | all_10_19 = e2 | all_10_24 = e2) & (all_10_16 = e1 % 68.83/10.77 | | all_10_17 = e1 | all_10_18 = e1 | all_10_19 = e1 | all_10_24 = % 68.83/10.77 | e1) & (all_10_20 = e4 | all_10_21 = e4 | all_10_22 = e4 | all_10_23 % 68.83/10.77 | = e4 | all_10_24 = e4) & (all_10_20 = e3 | all_10_21 = e3 | % 68.83/10.77 | all_10_22 = e3 | all_10_23 = e3 | all_10_24 = e3) & (all_10_20 = e2 % 68.83/10.77 | | all_10_21 = e2 | all_10_22 = e2 | all_10_23 = e2 | all_10_24 = % 68.83/10.77 | e2) & (all_10_20 = e1 | all_10_21 = e1 | all_10_22 = e1 | all_10_23 % 68.83/10.77 | = e1 | all_10_24 = e1) & (all_10_24 = e0 | ((all_10_16 = e0 | % 68.83/10.77 | all_10_17 = e0 | all_10_18 = e0 | all_10_19 = e0) & (all_10_20 % 68.83/10.77 | = e0 | all_10_21 = e0 | all_10_22 = e0 | all_10_23 = e0))) % 68.83/10.77 | % 68.83/10.77 | ALPHA: (278) implies: % 68.83/10.78 | (279) op(e0, e0) = all_10_24 % 68.83/10.78 | (280) op(e0, e1) = all_10_23 % 68.83/10.78 | (281) op(e0, e2) = all_10_22 % 68.83/10.78 | (282) op(e0, e3) = all_10_21 % 68.83/10.78 | (283) op(e0, e4) = all_10_20 % 68.97/10.78 | (284) op(e1, e0) = all_10_19 % 68.97/10.78 | (285) op(e1, e1) = all_10_15 % 68.97/10.78 | (286) op(e1, e2) = all_10_14 % 68.97/10.78 | (287) op(e1, e3) = all_10_13 % 68.97/10.78 | (288) op(e1, e4) = all_10_12 % 68.97/10.78 | (289) op(e2, e0) = all_10_18 % 68.97/10.78 | (290) op(e2, e1) = all_10_11 % 68.97/10.78 | (291) op(e2, e2) = all_10_8 % 68.97/10.78 | (292) op(e2, e3) = all_10_7 % 68.97/10.78 | (293) op(e2, e4) = all_10_6 % 68.97/10.78 | (294) op(e3, e0) = all_10_17 % 68.97/10.78 | (295) op(e3, e1) = all_10_10 % 68.97/10.78 | (296) op(e3, e2) = all_10_5 % 68.97/10.78 | (297) op(e3, e3) = all_10_3 % 68.97/10.78 | (298) op(e3, e4) = all_10_2 % 68.97/10.78 | (299) op(e4, e0) = all_10_16 % 68.97/10.78 | (300) op(e4, e1) = all_10_9 % 68.97/10.78 | (301) op(e4, e2) = all_10_4 % 68.97/10.78 | (302) op(e4, e3) = all_10_1 % 68.97/10.78 | (303) op(e4, e4) = all_10_0 % 68.97/10.78 | (304) all_10_24 = e0 | ((all_10_16 = e0 | all_10_17 = e0 | all_10_18 = e0 | % 68.97/10.78 | all_10_19 = e0) & (all_10_20 = e0 | all_10_21 = e0 | all_10_22 = % 68.97/10.78 | e0 | all_10_23 = e0)) % 68.97/10.78 | (305) all_10_20 = e1 | all_10_21 = e1 | all_10_22 = e1 | all_10_23 = e1 | % 68.97/10.78 | all_10_24 = e1 % 68.97/10.78 | (306) all_10_20 = e2 | all_10_21 = e2 | all_10_22 = e2 | all_10_23 = e2 | % 68.97/10.78 | all_10_24 = e2 % 68.97/10.78 | (307) all_10_20 = e3 | all_10_21 = e3 | all_10_22 = e3 | all_10_23 = e3 | % 68.97/10.78 | all_10_24 = e3 % 68.97/10.78 | (308) all_10_20 = e4 | all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 | % 68.97/10.78 | all_10_24 = e4 % 68.97/10.78 | (309) all_10_16 = e2 | all_10_17 = e2 | all_10_18 = e2 | all_10_19 = e2 | % 68.97/10.78 | all_10_24 = e2 % 68.97/10.78 | (310) all_10_16 = e3 | all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 | % 68.97/10.78 | all_10_24 = e3 % 68.97/10.78 | (311) all_10_16 = e4 | all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 | % 68.97/10.78 | all_10_24 = e4 % 68.97/10.78 | (312) all_10_12 = e2 | all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 | % 68.97/10.78 | all_10_19 = e2 % 68.97/10.78 | (313) all_10_12 = e3 | all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 | % 68.97/10.78 | all_10_19 = e3 % 68.97/10.78 | (314) all_10_12 = e4 | all_10_13 = e4 | all_10_14 = e4 | all_10_15 = e4 | % 68.97/10.78 | all_10_19 = e4 % 68.97/10.78 | (315) all_10_9 = e1 | all_10_10 = e1 | all_10_11 = e1 | all_10_15 = e1 | % 68.97/10.78 | all_10_23 = e1 % 68.97/10.78 | (316) all_10_9 = e2 | all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 | % 68.97/10.78 | all_10_23 = e2 % 68.97/10.78 | (317) all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 | % 68.97/10.78 | all_10_23 = e3 % 68.97/10.78 | (318) all_10_9 = e4 | all_10_10 = e4 | all_10_11 = e4 | all_10_15 = e4 | % 68.97/10.78 | all_10_23 = e4 % 68.97/10.78 | (319) all_10_6 = e0 | all_10_7 = e0 | all_10_8 = e0 | all_10_11 = e0 | % 68.97/10.78 | all_10_18 = e0 % 68.97/10.78 | (320) all_10_6 = e1 | all_10_7 = e1 | all_10_8 = e1 | all_10_11 = e1 | % 68.97/10.78 | all_10_18 = e1 % 68.97/10.78 | (321) all_10_6 = e2 | all_10_7 = e2 | all_10_8 = e2 | all_10_11 = e2 | % 68.97/10.78 | all_10_18 = e2 % 68.97/10.78 | (322) all_10_6 = e4 | all_10_7 = e4 | all_10_8 = e4 | all_10_11 = e4 | % 68.97/10.78 | all_10_18 = e4 % 68.97/10.78 | (323) all_10_4 = e0 | all_10_5 = e0 | all_10_8 = e0 | all_10_14 = e0 | % 68.97/10.78 | all_10_22 = e0 % 68.97/10.78 | (324) all_10_4 = e2 | all_10_5 = e2 | all_10_8 = e2 | all_10_14 = e2 | % 68.97/10.78 | all_10_22 = e2 % 68.97/10.78 | (325) all_10_4 = e3 | all_10_5 = e3 | all_10_8 = e3 | all_10_14 = e3 | % 68.97/10.78 | all_10_22 = e3 % 68.97/10.78 | (326) all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 | % 68.97/10.78 | all_10_22 = e4 % 68.97/10.78 | (327) all_10_2 = e0 | all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 | % 68.97/10.78 | all_10_17 = e0 % 68.97/10.78 | (328) all_10_2 = e1 | all_10_3 = e1 | all_10_5 = e1 | all_10_10 = e1 | % 68.97/10.78 | all_10_17 = e1 % 68.97/10.78 | (329) all_10_2 = e2 | all_10_3 = e2 | all_10_5 = e2 | all_10_10 = e2 | % 68.97/10.78 | all_10_17 = e2 % 68.97/10.78 | (330) all_10_2 = e4 | all_10_3 = e4 | all_10_5 = e4 | all_10_10 = e4 | % 68.97/10.78 | all_10_17 = e4 % 68.97/10.78 | (331) all_10_1 = e0 | all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 | % 68.97/10.78 | all_10_21 = e0 % 68.97/10.78 | (332) all_10_1 = e1 | all_10_3 = e1 | all_10_7 = e1 | all_10_13 = e1 | % 68.97/10.78 | all_10_21 = e1 % 68.97/10.78 | (333) all_10_1 = e2 | all_10_3 = e2 | all_10_7 = e2 | all_10_13 = e2 | % 68.97/10.78 | all_10_21 = e2 % 68.97/10.78 | (334) all_10_1 = e3 | all_10_3 = e3 | all_10_7 = e3 | all_10_13 = e3 | % 68.97/10.78 | all_10_21 = e3 % 68.97/10.78 | (335) all_10_1 = e4 | all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 | % 68.97/10.78 | all_10_21 = e4 % 68.97/10.78 | (336) all_10_0 = e0 | all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 | % 68.97/10.78 | all_10_20 = e0 % 68.97/10.78 | (337) all_10_0 = e0 | all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 | % 68.97/10.78 | all_10_16 = e0 % 68.97/10.78 | (338) all_10_0 = e1 | all_10_2 = e1 | all_10_6 = e1 | all_10_12 = e1 | % 68.97/10.78 | all_10_20 = e1 % 68.97/10.78 | (339) all_10_0 = e2 | all_10_2 = e2 | all_10_6 = e2 | all_10_12 = e2 | % 68.97/10.78 | all_10_20 = e2 % 68.97/10.78 | (340) all_10_0 = e2 | all_10_1 = e2 | all_10_4 = e2 | all_10_9 = e2 | % 68.97/10.78 | all_10_16 = e2 % 68.97/10.78 | (341) all_10_0 = e3 | all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 | % 68.97/10.78 | all_10_16 = e3 % 68.97/10.78 | (342) all_10_0 = e4 | all_10_2 = e4 | all_10_6 = e4 | all_10_12 = e4 | % 68.97/10.78 | all_10_20 = e4 % 68.97/10.78 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_4_24, all_8_69, e0, e0, % 68.97/10.79 | simplifying with (124), (196) gives: % 68.97/10.79 | (343) all_8_69 = all_4_24 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_8_69, all_10_24, e0, e0, % 68.97/10.79 | simplifying with (196), (279) gives: % 68.97/10.79 | (344) all_10_24 = all_8_69 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_6_24, all_10_24, e0, e0, % 68.97/10.79 | simplifying with (150), (279) gives: % 68.97/10.79 | (345) all_10_24 = all_6_24 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_4_19, all_8_68, e1, e0, % 68.97/10.79 | simplifying with (125), (197) gives: % 68.97/10.79 | (346) all_8_68 = all_4_19 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_8_68, all_10_23, e1, e0, % 68.97/10.79 | simplifying with (197), (280) gives: % 68.97/10.79 | (347) all_10_23 = all_8_68 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_6_23, all_10_23, e1, e0, % 68.97/10.79 | simplifying with (151), (280) gives: % 68.97/10.79 | (348) all_10_23 = all_6_23 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_4_14, all_8_67, e2, e0, % 68.97/10.79 | simplifying with (126), (198) gives: % 68.97/10.79 | (349) all_8_67 = all_4_14 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_8_67, all_10_22, e2, e0, % 68.97/10.79 | simplifying with (198), (281) gives: % 68.97/10.79 | (350) all_10_22 = all_8_67 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_6_22, all_10_22, e2, e0, % 68.97/10.79 | simplifying with (152), (281) gives: % 68.97/10.79 | (351) all_10_22 = all_6_22 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_6_21, all_8_66, e3, e0, % 68.97/10.79 | simplifying with (153), (199) gives: % 68.97/10.79 | (352) all_8_66 = all_6_21 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_8_66, all_10_21, e3, e0, % 68.97/10.79 | simplifying with (199), (282) gives: % 68.97/10.79 | (353) all_10_21 = all_8_66 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_4_9, all_10_21, e3, e0, % 68.97/10.79 | simplifying with (127), (282) gives: % 68.97/10.79 | (354) all_10_21 = all_4_9 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_8_65, all_10_20, e4, e0, % 68.97/10.79 | simplifying with (200), (283) gives: % 68.97/10.79 | (355) all_10_20 = all_8_65 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_6_20, all_10_20, e4, e0, % 68.97/10.79 | simplifying with (154), (283) gives: % 68.97/10.79 | (356) all_10_20 = all_6_20 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_4_4, all_10_20, e4, e0, % 68.97/10.79 | simplifying with (128), (283) gives: % 68.97/10.79 | (357) all_10_20 = all_4_4 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_8_63, all_10_19, e0, e1, % 68.97/10.79 | simplifying with (201), (284) gives: % 68.97/10.79 | (358) all_10_19 = all_8_63 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_4_23, all_10_19, e0, e1, % 68.97/10.79 | simplifying with (129), (284) gives: % 68.97/10.79 | (359) all_10_19 = all_4_23 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_4_18, all_6_18, e1, e1, % 68.97/10.79 | simplifying with (130), (155) gives: % 68.97/10.79 | (360) all_6_18 = all_4_18 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_8_64, all_10_15, e1, e1, % 68.97/10.79 | simplifying with (202), (285) gives: % 68.97/10.79 | (361) all_10_15 = all_8_64 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_6_18, all_10_15, e1, e1, % 68.97/10.79 | simplifying with (155), (285) gives: % 68.97/10.79 | (362) all_10_15 = all_6_18 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with e0, all_10_15, e1, e1, % 68.97/10.79 | simplifying with (21), (285) gives: % 68.97/10.79 | (363) all_10_15 = e0 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_6_17, all_8_62, e2, e1, % 68.97/10.79 | simplifying with (156), (203) gives: % 68.97/10.79 | (364) all_8_62 = all_6_17 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_8_62, all_10_14, e2, e1, % 68.97/10.79 | simplifying with (203), (286) gives: % 68.97/10.79 | (365) all_10_14 = all_8_62 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_4_13, all_10_14, e2, e1, % 68.97/10.79 | simplifying with (131), (286) gives: % 68.97/10.79 | (366) all_10_14 = all_4_13 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_6_16, all_8_61, e3, e1, % 68.97/10.79 | simplifying with (157), (204) gives: % 68.97/10.79 | (367) all_8_61 = all_6_16 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_8_61, all_10_13, e3, e1, % 68.97/10.79 | simplifying with (204), (287) gives: % 68.97/10.79 | (368) all_10_13 = all_8_61 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_4_8, all_10_13, e3, e1, % 68.97/10.79 | simplifying with (132), (287) gives: % 68.97/10.79 | (369) all_10_13 = all_4_8 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_6_15, all_8_60, e4, e1, % 68.97/10.79 | simplifying with (158), (205) gives: % 68.97/10.79 | (370) all_8_60 = all_6_15 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_8_60, all_10_12, e4, e1, % 68.97/10.79 | simplifying with (205), (288) gives: % 68.97/10.79 | (371) all_10_12 = all_8_60 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_4_3, all_10_12, e4, e1, % 68.97/10.79 | simplifying with (133), (288) gives: % 68.97/10.79 | (372) all_10_12 = all_4_3 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_8_58, all_10_18, e0, e2, % 68.97/10.79 | simplifying with (206), (289) gives: % 68.97/10.79 | (373) all_10_18 = all_8_58 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_6_14, all_10_18, e0, e2, % 68.97/10.79 | simplifying with (159), (289) gives: % 68.97/10.79 | (374) all_10_18 = all_6_14 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_4_22, all_10_18, e0, e2, % 68.97/10.79 | simplifying with (134), (289) gives: % 68.97/10.79 | (375) all_10_18 = all_4_22 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_6_13, all_8_57, e1, e2, % 68.97/10.79 | simplifying with (160), (207) gives: % 68.97/10.79 | (376) all_8_57 = all_6_13 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_8_57, all_10_11, e1, e2, % 68.97/10.79 | simplifying with (207), (290) gives: % 68.97/10.79 | (377) all_10_11 = all_8_57 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_4_17, all_10_11, e1, e2, % 68.97/10.79 | simplifying with (135), (290) gives: % 68.97/10.79 | (378) all_10_11 = all_4_17 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_6_12, all_8_59, e2, e2, % 68.97/10.79 | simplifying with (161), (208) gives: % 68.97/10.79 | (379) all_8_59 = all_6_12 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_8_59, all_10_8, e2, e2, % 68.97/10.79 | simplifying with (208), (291) gives: % 68.97/10.79 | (380) all_10_8 = all_8_59 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_4_12, all_10_8, e2, e2, % 68.97/10.79 | simplifying with (136), (291) gives: % 68.97/10.79 | (381) all_10_8 = all_4_12 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_6_11, all_8_56, e3, e2, % 68.97/10.79 | simplifying with (162), (209) gives: % 68.97/10.79 | (382) all_8_56 = all_6_11 % 68.97/10.79 | % 68.97/10.79 | GROUND_INST: instantiating (function-axioms) with all_8_56, all_10_7, e3, e2, % 68.97/10.79 | simplifying with (209), (292) gives: % 68.97/10.79 | (383) all_10_7 = all_8_56 % 68.97/10.79 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_4_7, all_10_7, e3, e2, % 68.97/10.80 | simplifying with (137), (292) gives: % 68.97/10.80 | (384) all_10_7 = all_4_7 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_4_2, all_6_10, e4, e2, % 68.97/10.80 | simplifying with (138), (163) gives: % 68.97/10.80 | (385) all_6_10 = all_4_2 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_6_10, all_8_55, e4, e2, % 68.97/10.80 | simplifying with (163), (210) gives: % 68.97/10.80 | (386) all_8_55 = all_6_10 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_8_55, all_10_6, e4, e2, % 68.97/10.80 | simplifying with (210), (293) gives: % 68.97/10.80 | (387) all_10_6 = all_8_55 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with e3, all_10_6, e4, e2, % 68.97/10.80 | simplifying with (22), (293) gives: % 68.97/10.80 | (388) all_10_6 = e3 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_8_53, all_10_17, e0, e3, % 68.97/10.80 | simplifying with (211), (294) gives: % 68.97/10.80 | (389) all_10_17 = all_8_53 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_6_9, all_10_17, e0, e3, % 68.97/10.80 | simplifying with (164), (294) gives: % 68.97/10.80 | (390) all_10_17 = all_6_9 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_4_21, all_10_17, e0, e3, % 68.97/10.80 | simplifying with (139), (294) gives: % 68.97/10.80 | (391) all_10_17 = all_4_21 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_6_8, all_8_52, e1, e3, % 68.97/10.80 | simplifying with (165), (212) gives: % 68.97/10.80 | (392) all_8_52 = all_6_8 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_8_52, all_10_10, e1, e3, % 68.97/10.80 | simplifying with (212), (295) gives: % 68.97/10.80 | (393) all_10_10 = all_8_52 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_4_16, all_10_10, e1, e3, % 68.97/10.80 | simplifying with (140), (295) gives: % 68.97/10.80 | (394) all_10_10 = all_4_16 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_6_7, all_8_51, e2, e3, % 68.97/10.80 | simplifying with (166), (213) gives: % 68.97/10.80 | (395) all_8_51 = all_6_7 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_8_51, all_10_5, e2, e3, % 68.97/10.80 | simplifying with (213), (296) gives: % 68.97/10.80 | (396) all_10_5 = all_8_51 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_4_11, all_10_5, e2, e3, % 68.97/10.80 | simplifying with (141), (296) gives: % 68.97/10.80 | (397) all_10_5 = all_4_11 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_8_54, all_10_3, e3, e3, % 68.97/10.80 | simplifying with (214), (297) gives: % 68.97/10.80 | (398) all_10_3 = all_8_54 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_6_6, all_10_3, e3, e3, % 68.97/10.80 | simplifying with (167), (297) gives: % 68.97/10.80 | (399) all_10_3 = all_6_6 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_4_6, all_10_3, e3, e3, % 68.97/10.80 | simplifying with (142), (297) gives: % 68.97/10.80 | (400) all_10_3 = all_4_6 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_6_5, all_8_50, e4, e3, % 68.97/10.80 | simplifying with (168), (215) gives: % 68.97/10.80 | (401) all_8_50 = all_6_5 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_8_50, all_10_2, e4, e3, % 68.97/10.80 | simplifying with (215), (298) gives: % 68.97/10.80 | (402) all_10_2 = all_8_50 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_4_1, all_10_2, e4, e3, % 68.97/10.80 | simplifying with (143), (298) gives: % 68.97/10.80 | (403) all_10_2 = all_4_1 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_8_48, all_10_16, e0, e4, % 68.97/10.80 | simplifying with (216), (299) gives: % 68.97/10.80 | (404) all_10_16 = all_8_48 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_6_4, all_10_16, e0, e4, % 68.97/10.80 | simplifying with (169), (299) gives: % 68.97/10.80 | (405) all_10_16 = all_6_4 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_4_20, all_10_16, e0, e4, % 68.97/10.80 | simplifying with (144), (299) gives: % 68.97/10.80 | (406) all_10_16 = all_4_20 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_6_3, all_8_47, e1, e4, % 68.97/10.80 | simplifying with (170), (217) gives: % 68.97/10.80 | (407) all_8_47 = all_6_3 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_8_47, all_10_9, e1, e4, % 68.97/10.80 | simplifying with (217), (300) gives: % 68.97/10.80 | (408) all_10_9 = all_8_47 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_4_15, all_10_9, e1, e4, % 68.97/10.80 | simplifying with (145), (300) gives: % 68.97/10.80 | (409) all_10_9 = all_4_15 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_4_10, all_6_2, e2, e4, % 68.97/10.80 | simplifying with (146), (171) gives: % 68.97/10.80 | (410) all_6_2 = all_4_10 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_6_2, all_8_46, e2, e4, % 68.97/10.80 | simplifying with (171), (218) gives: % 68.97/10.80 | (411) all_8_46 = all_6_2 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_8_46, all_10_4, e2, e4, % 68.97/10.80 | simplifying with (218), (301) gives: % 68.97/10.80 | (412) all_10_4 = all_8_46 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with e1, all_10_4, e2, e4, % 68.97/10.80 | simplifying with (23), (301) gives: % 68.97/10.80 | (413) all_10_4 = e1 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_6_1, all_8_45, e3, e4, % 68.97/10.80 | simplifying with (172), (219) gives: % 68.97/10.80 | (414) all_8_45 = all_6_1 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_8_45, all_10_1, e3, e4, % 68.97/10.80 | simplifying with (219), (302) gives: % 68.97/10.80 | (415) all_10_1 = all_8_45 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_4_5, all_10_1, e3, e4, % 68.97/10.80 | simplifying with (147), (302) gives: % 68.97/10.80 | (416) all_10_1 = all_4_5 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_6_0, all_8_49, e4, e4, % 68.97/10.80 | simplifying with (173), (220) gives: % 68.97/10.80 | (417) all_8_49 = all_6_0 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_8_49, all_10_0, e4, e4, % 68.97/10.80 | simplifying with (220), (303) gives: % 68.97/10.80 | (418) all_10_0 = all_8_49 % 68.97/10.80 | % 68.97/10.80 | GROUND_INST: instantiating (function-axioms) with all_4_0, all_10_0, e4, e4, % 68.97/10.80 | simplifying with (148), (303) gives: % 68.97/10.80 | (419) all_10_0 = all_4_0 % 68.97/10.80 | % 68.97/10.80 | COMBINE_EQS: (418), (419) imply: % 68.97/10.80 | (420) all_8_49 = all_4_0 % 68.97/10.80 | % 68.97/10.80 | SIMP: (420) implies: % 68.97/10.80 | (421) all_8_49 = all_4_0 % 68.97/10.80 | % 68.97/10.80 | COMBINE_EQS: (415), (416) imply: % 68.97/10.80 | (422) all_8_45 = all_4_5 % 68.97/10.80 | % 68.97/10.80 | SIMP: (422) implies: % 68.97/10.80 | (423) all_8_45 = all_4_5 % 68.97/10.80 | % 68.97/10.80 | COMBINE_EQS: (402), (403) imply: % 68.97/10.80 | (424) all_8_50 = all_4_1 % 68.97/10.80 | % 68.97/10.80 | SIMP: (424) implies: % 68.97/10.80 | (425) all_8_50 = all_4_1 % 68.97/10.80 | % 68.97/10.80 | COMBINE_EQS: (398), (400) imply: % 68.97/10.80 | (426) all_8_54 = all_4_6 % 68.97/10.80 | % 68.97/10.80 | COMBINE_EQS: (398), (399) imply: % 68.97/10.80 | (427) all_8_54 = all_6_6 % 68.97/10.80 | % 68.97/10.80 | COMBINE_EQS: (412), (413) imply: % 68.97/10.80 | (428) all_8_46 = e1 % 68.97/10.80 | % 68.97/10.80 | SIMP: (428) implies: % 68.97/10.80 | (429) all_8_46 = e1 % 68.97/10.80 | % 68.97/10.80 | COMBINE_EQS: (396), (397) imply: % 68.97/10.80 | (430) all_8_51 = all_4_11 % 68.97/10.80 | % 68.97/10.80 | SIMP: (430) implies: % 68.97/10.80 | (431) all_8_51 = all_4_11 % 68.97/10.80 | % 68.97/10.80 | COMBINE_EQS: (387), (388) imply: % 68.97/10.80 | (432) all_8_55 = e3 % 68.97/10.80 | % 68.97/10.80 | SIMP: (432) implies: % 68.97/10.80 | (433) all_8_55 = e3 % 68.97/10.80 | % 68.97/10.80 | COMBINE_EQS: (383), (384) imply: % 68.97/10.80 | (434) all_8_56 = all_4_7 % 68.97/10.80 | % 68.97/10.80 | SIMP: (434) implies: % 68.97/10.80 | (435) all_8_56 = all_4_7 % 68.97/10.80 | % 68.97/10.80 | COMBINE_EQS: (380), (381) imply: % 68.97/10.80 | (436) all_8_59 = all_4_12 % 68.97/10.80 | % 68.97/10.80 | SIMP: (436) implies: % 68.97/10.80 | (437) all_8_59 = all_4_12 % 68.97/10.80 | % 68.97/10.80 | COMBINE_EQS: (408), (409) imply: % 68.97/10.80 | (438) all_8_47 = all_4_15 % 68.97/10.80 | % 68.97/10.80 | SIMP: (438) implies: % 68.97/10.80 | (439) all_8_47 = all_4_15 % 68.97/10.80 | % 68.97/10.80 | COMBINE_EQS: (393), (394) imply: % 68.97/10.80 | (440) all_8_52 = all_4_16 % 68.97/10.80 | % 68.97/10.80 | SIMP: (440) implies: % 68.97/10.80 | (441) all_8_52 = all_4_16 % 68.97/10.80 | % 68.97/10.80 | COMBINE_EQS: (377), (378) imply: % 68.97/10.80 | (442) all_8_57 = all_4_17 % 68.97/10.80 | % 68.97/10.80 | SIMP: (442) implies: % 68.97/10.80 | (443) all_8_57 = all_4_17 % 68.97/10.80 | % 68.97/10.80 | COMBINE_EQS: (371), (372) imply: % 68.97/10.80 | (444) all_8_60 = all_4_3 % 68.97/10.80 | % 68.97/10.80 | SIMP: (444) implies: % 68.97/10.80 | (445) all_8_60 = all_4_3 % 68.97/10.80 | % 68.97/10.80 | COMBINE_EQS: (368), (369) imply: % 68.97/10.80 | (446) all_8_61 = all_4_8 % 68.97/10.80 | % 68.97/10.80 | SIMP: (446) implies: % 68.97/10.80 | (447) all_8_61 = all_4_8 % 68.97/10.80 | % 68.97/10.80 | COMBINE_EQS: (365), (366) imply: % 68.97/10.80 | (448) all_8_62 = all_4_13 % 68.97/10.80 | % 68.97/10.80 | SIMP: (448) implies: % 68.97/10.81 | (449) all_8_62 = all_4_13 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (361), (363) imply: % 68.97/10.81 | (450) all_8_64 = e0 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (361), (362) imply: % 68.97/10.81 | (451) all_8_64 = all_6_18 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (404), (406) imply: % 68.97/10.81 | (452) all_8_48 = all_4_20 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (404), (405) imply: % 68.97/10.81 | (453) all_8_48 = all_6_4 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (389), (391) imply: % 68.97/10.81 | (454) all_8_53 = all_4_21 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (389), (390) imply: % 68.97/10.81 | (455) all_8_53 = all_6_9 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (373), (375) imply: % 68.97/10.81 | (456) all_8_58 = all_4_22 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (373), (374) imply: % 68.97/10.81 | (457) all_8_58 = all_6_14 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (358), (359) imply: % 68.97/10.81 | (458) all_8_63 = all_4_23 % 68.97/10.81 | % 68.97/10.81 | SIMP: (458) implies: % 68.97/10.81 | (459) all_8_63 = all_4_23 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (355), (357) imply: % 68.97/10.81 | (460) all_8_65 = all_4_4 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (355), (356) imply: % 68.97/10.81 | (461) all_8_65 = all_6_20 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (353), (354) imply: % 68.97/10.81 | (462) all_8_66 = all_4_9 % 68.97/10.81 | % 68.97/10.81 | SIMP: (462) implies: % 68.97/10.81 | (463) all_8_66 = all_4_9 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (350), (351) imply: % 68.97/10.81 | (464) all_8_67 = all_6_22 % 68.97/10.81 | % 68.97/10.81 | SIMP: (464) implies: % 68.97/10.81 | (465) all_8_67 = all_6_22 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (347), (348) imply: % 68.97/10.81 | (466) all_8_68 = all_6_23 % 68.97/10.81 | % 68.97/10.81 | SIMP: (466) implies: % 68.97/10.81 | (467) all_8_68 = all_6_23 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (344), (345) imply: % 68.97/10.81 | (468) all_8_69 = all_6_24 % 68.97/10.81 | % 68.97/10.81 | SIMP: (468) implies: % 68.97/10.81 | (469) all_8_69 = all_6_24 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (414), (423) imply: % 68.97/10.81 | (470) all_6_1 = all_4_5 % 68.97/10.81 | % 68.97/10.81 | SIMP: (470) implies: % 68.97/10.81 | (471) all_6_1 = all_4_5 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (411), (429) imply: % 68.97/10.81 | (472) all_6_2 = e1 % 68.97/10.81 | % 68.97/10.81 | SIMP: (472) implies: % 68.97/10.81 | (473) all_6_2 = e1 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (407), (439) imply: % 68.97/10.81 | (474) all_6_3 = all_4_15 % 68.97/10.81 | % 68.97/10.81 | SIMP: (474) implies: % 68.97/10.81 | (475) all_6_3 = all_4_15 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (452), (453) imply: % 68.97/10.81 | (476) all_6_4 = all_4_20 % 68.97/10.81 | % 68.97/10.81 | SIMP: (476) implies: % 68.97/10.81 | (477) all_6_4 = all_4_20 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (417), (421) imply: % 68.97/10.81 | (478) all_6_0 = all_4_0 % 68.97/10.81 | % 68.97/10.81 | SIMP: (478) implies: % 68.97/10.81 | (479) all_6_0 = all_4_0 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (401), (425) imply: % 68.97/10.81 | (480) all_6_5 = all_4_1 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (395), (431) imply: % 68.97/10.81 | (481) all_6_7 = all_4_11 % 68.97/10.81 | % 68.97/10.81 | SIMP: (481) implies: % 68.97/10.81 | (482) all_6_7 = all_4_11 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (392), (441) imply: % 68.97/10.81 | (483) all_6_8 = all_4_16 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (454), (455) imply: % 68.97/10.81 | (484) all_6_9 = all_4_21 % 68.97/10.81 | % 68.97/10.81 | SIMP: (484) implies: % 68.97/10.81 | (485) all_6_9 = all_4_21 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (426), (427) imply: % 68.97/10.81 | (486) all_6_6 = all_4_6 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (386), (433) imply: % 68.97/10.81 | (487) all_6_10 = e3 % 68.97/10.81 | % 68.97/10.81 | SIMP: (487) implies: % 68.97/10.81 | (488) all_6_10 = e3 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (382), (435) imply: % 68.97/10.81 | (489) all_6_11 = all_4_7 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (376), (443) imply: % 68.97/10.81 | (490) all_6_13 = all_4_17 % 68.97/10.81 | % 68.97/10.81 | SIMP: (490) implies: % 68.97/10.81 | (491) all_6_13 = all_4_17 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (456), (457) imply: % 68.97/10.81 | (492) all_6_14 = all_4_22 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (379), (437) imply: % 68.97/10.81 | (493) all_6_12 = all_4_12 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (370), (445) imply: % 68.97/10.81 | (494) all_6_15 = all_4_3 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (367), (447) imply: % 68.97/10.81 | (495) all_6_16 = all_4_8 % 68.97/10.81 | % 68.97/10.81 | SIMP: (495) implies: % 68.97/10.81 | (496) all_6_16 = all_4_8 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (364), (449) imply: % 68.97/10.81 | (497) all_6_17 = all_4_13 % 68.97/10.81 | % 68.97/10.81 | SIMP: (497) implies: % 68.97/10.81 | (498) all_6_17 = all_4_13 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (450), (451) imply: % 68.97/10.81 | (499) all_6_18 = e0 % 68.97/10.81 | % 68.97/10.81 | SIMP: (499) implies: % 68.97/10.81 | (500) all_6_18 = e0 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (460), (461) imply: % 68.97/10.81 | (501) all_6_20 = all_4_4 % 68.97/10.81 | % 68.97/10.81 | SIMP: (501) implies: % 68.97/10.81 | (502) all_6_20 = all_4_4 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (352), (463) imply: % 68.97/10.81 | (503) all_6_21 = all_4_9 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (349), (465) imply: % 68.97/10.81 | (504) all_6_22 = all_4_14 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (346), (467) imply: % 68.97/10.81 | (505) all_6_23 = all_4_19 % 68.97/10.81 | % 68.97/10.81 | SIMP: (505) implies: % 68.97/10.81 | (506) all_6_23 = all_4_19 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (343), (469) imply: % 68.97/10.81 | (507) all_6_24 = all_4_24 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (410), (473) imply: % 68.97/10.81 | (508) all_4_10 = e1 % 68.97/10.81 | % 68.97/10.81 | SIMP: (508) implies: % 68.97/10.81 | (509) all_4_10 = e1 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (385), (488) imply: % 68.97/10.81 | (510) all_4_2 = e3 % 68.97/10.81 | % 68.97/10.81 | SIMP: (510) implies: % 68.97/10.81 | (511) all_4_2 = e3 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (360), (500) imply: % 68.97/10.81 | (512) all_4_18 = e0 % 68.97/10.81 | % 68.97/10.81 | SIMP: (512) implies: % 68.97/10.81 | (513) all_4_18 = e0 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (345), (507) imply: % 68.97/10.81 | (514) all_10_24 = all_4_24 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (348), (506) imply: % 68.97/10.81 | (515) all_10_23 = all_4_19 % 68.97/10.81 | % 68.97/10.81 | COMBINE_EQS: (351), (504) imply: % 68.97/10.81 | (516) all_10_22 = all_4_14 % 68.97/10.81 | % 68.97/10.81 | REDUCE: (122), (511) imply: % 68.97/10.81 | (517) ~ (all_4_0 = e3) % 68.97/10.81 | % 68.97/10.81 | REDUCE: (118), (509) imply: % 68.97/10.81 | (518) ~ (all_4_0 = e1) % 68.97/10.81 | % 68.97/10.81 | REDUCE: (115), (511) imply: % 68.97/10.81 | (519) ~ (all_4_1 = e3) % 68.97/10.81 | % 68.97/10.81 | REDUCE: (108), (511) imply: % 68.97/10.81 | (520) ~ (all_4_3 = e3) % 68.97/10.81 | % 68.97/10.81 | SIMP: (520) implies: % 68.97/10.81 | (521) ~ (all_4_3 = e3) % 68.97/10.81 | % 68.97/10.81 | REDUCE: (107), (511) imply: % 68.97/10.81 | (522) ~ (all_4_4 = e3) % 68.97/10.81 | % 68.97/10.81 | SIMP: (522) implies: % 68.97/10.81 | (523) ~ (all_4_4 = e3) % 68.97/10.81 | % 68.97/10.81 | REDUCE: (106), (511) imply: % 68.97/10.81 | (524) ~ (all_4_7 = e3) % 68.97/10.81 | % 68.97/10.81 | SIMP: (524) implies: % 68.97/10.81 | (525) ~ (all_4_7 = e3) % 68.97/10.81 | % 68.97/10.81 | REDUCE: (105), (511) imply: % 68.97/10.81 | (526) ~ (all_4_12 = e3) % 68.97/10.81 | % 68.97/10.81 | SIMP: (526) implies: % 68.97/10.81 | (527) ~ (all_4_12 = e3) % 68.97/10.81 | % 68.97/10.81 | REDUCE: (104), (511) imply: % 68.97/10.81 | (528) ~ (all_4_17 = e3) % 68.97/10.81 | % 68.97/10.81 | SIMP: (528) implies: % 68.97/10.81 | (529) ~ (all_4_17 = e3) % 68.97/10.81 | % 68.97/10.81 | REDUCE: (103), (511) imply: % 68.97/10.81 | (530) ~ (all_4_22 = e3) % 68.97/10.81 | % 68.97/10.81 | SIMP: (530) implies: % 68.97/10.81 | (531) ~ (all_4_22 = e3) % 68.97/10.81 | % 68.97/10.81 | REDUCE: (99), (513) imply: % 68.97/10.81 | (532) ~ (all_4_3 = e0) % 68.97/10.81 | % 68.97/10.81 | REDUCE: (89), (509) imply: % 68.97/10.81 | (533) ~ (all_4_5 = e1) % 68.97/10.81 | % 68.97/10.81 | REDUCE: (73), (513) imply: % 68.97/10.81 | (534) ~ (all_4_8 = e0) % 68.97/10.81 | % 68.97/10.81 | REDUCE: (68), (509) imply: % 68.97/10.81 | (535) ~ (all_4_11 = e1) % 68.97/10.81 | % 68.97/10.81 | SIMP: (535) implies: % 68.97/10.81 | (536) ~ (all_4_11 = e1) % 68.97/10.81 | % 68.97/10.81 | REDUCE: (67), (509) imply: % 68.97/10.81 | (537) ~ (all_4_12 = e1) % 68.97/10.81 | % 68.97/10.81 | SIMP: (537) implies: % 68.97/10.81 | (538) ~ (all_4_12 = e1) % 68.97/10.81 | % 68.97/10.81 | REDUCE: (66), (509) imply: % 68.97/10.81 | (539) ~ (all_4_14 = e1) % 68.97/10.81 | % 68.97/10.81 | SIMP: (539) implies: % 68.97/10.81 | (540) ~ (all_4_14 = e1) % 68.97/10.81 | % 68.97/10.81 | REDUCE: (65), (509) imply: % 68.97/10.81 | (541) ~ (all_4_15 = e1) % 68.97/10.81 | % 68.97/10.82 | SIMP: (541) implies: % 68.97/10.82 | (542) ~ (all_4_15 = e1) % 68.97/10.82 | % 68.97/10.82 | REDUCE: (54), (513) imply: % 68.97/10.82 | (543) ~ (all_4_13 = e0) % 68.97/10.82 | % 68.97/10.82 | REDUCE: (48), (513) imply: % 68.97/10.82 | (544) ~ (all_4_15 = e0) % 68.97/10.82 | % 68.97/10.82 | REDUCE: (44), (513) imply: % 68.97/10.82 | (545) ~ (all_4_16 = e0) % 68.97/10.82 | % 68.97/10.82 | REDUCE: (41), (513) imply: % 68.97/10.82 | (546) ~ (all_4_17 = e0) % 68.97/10.82 | % 68.97/10.82 | REDUCE: (38), (513) imply: % 68.97/10.82 | (547) ~ (all_4_19 = e0) % 68.97/10.82 | % 68.97/10.82 | SIMP: (547) implies: % 68.97/10.82 | (548) ~ (all_4_19 = e0) % 68.97/10.82 | % 68.97/10.82 | REDUCE: (37), (513) imply: % 68.97/10.82 | (549) ~ (all_4_23 = e0) % 68.97/10.82 | % 68.97/10.82 | SIMP: (549) implies: % 68.97/10.82 | (550) ~ (all_4_23 = e0) % 68.97/10.82 | % 68.97/10.82 | REDUCE: (264), (423) imply: % 68.97/10.82 | (551) op(all_4_5, e4) = all_8_1 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (263), (423) imply: % 68.97/10.82 | (552) op(all_4_5, e3) = all_8_2 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (262), (429) imply: % 68.97/10.82 | (553) op(e1, e4) = all_8_3 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (261), (429) imply: % 68.97/10.82 | (554) op(e1, e2) = all_8_4 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (260), (439) imply: % 68.97/10.82 | (555) op(all_4_15, e4) = all_8_5 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (259), (439) imply: % 68.97/10.82 | (556) op(all_4_15, e1) = all_8_6 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (258), (452) imply: % 68.97/10.82 | (557) op(all_4_20, e4) = all_8_7 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (257), (452) imply: % 68.97/10.82 | (558) op(all_4_20, e0) = all_8_8 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (256), (421) imply: % 68.97/10.82 | (559) op(all_4_0, e4) = all_8_0 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (255), (425) imply: % 68.97/10.82 | (560) op(all_4_1, e4) = all_8_10 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (254), (425) imply: % 68.97/10.82 | (561) op(all_4_1, e3) = all_8_9 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (253), (431) imply: % 68.97/10.82 | (562) op(all_4_11, e3) = all_8_12 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (252), (431) imply: % 68.97/10.82 | (563) op(all_4_11, e2) = all_8_13 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (251), (441) imply: % 68.97/10.82 | (564) op(all_4_16, e3) = all_8_14 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (250), (441) imply: % 68.97/10.82 | (565) op(all_4_16, e1) = all_8_15 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (249), (454) imply: % 68.97/10.82 | (566) op(all_4_21, e3) = all_8_16 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (248), (454) imply: % 68.97/10.82 | (567) op(all_4_21, e0) = all_8_17 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (247), (426) imply: % 68.97/10.82 | (568) op(all_4_6, e3) = all_8_11 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (246), (433) imply: % 68.97/10.82 | (569) op(e3, e4) = all_8_19 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (245), (433) imply: % 68.97/10.82 | (570) op(e3, e2) = all_8_18 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (244), (435) imply: % 68.97/10.82 | (571) op(all_4_7, e3) = all_8_21 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (243), (435) imply: % 68.97/10.82 | (572) op(all_4_7, e2) = all_8_20 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (242), (443) imply: % 68.97/10.82 | (573) op(all_4_17, e2) = all_8_23 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (241), (443) imply: % 68.97/10.82 | (574) op(all_4_17, e1) = all_8_24 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (240), (456) imply: % 68.97/10.82 | (575) op(all_4_22, e2) = all_8_25 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (239), (456) imply: % 68.97/10.82 | (576) op(all_4_22, e0) = all_8_26 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (238), (437) imply: % 68.97/10.82 | (577) op(all_4_12, e2) = all_8_22 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (237), (445) imply: % 68.97/10.82 | (578) op(all_4_3, e4) = all_8_28 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (236), (445) imply: % 68.97/10.82 | (579) op(all_4_3, e1) = all_8_27 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (235), (447) imply: % 68.97/10.82 | (580) op(all_4_8, e3) = all_8_30 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (234), (447) imply: % 68.97/10.82 | (581) op(all_4_8, e1) = all_8_29 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (233), (449) imply: % 68.97/10.82 | (582) op(all_4_13, e2) = all_8_32 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (232), (449) imply: % 68.97/10.82 | (583) op(all_4_13, e1) = all_8_31 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (231), (459) imply: % 68.97/10.82 | (584) op(all_4_23, e1) = all_8_34 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (230), (450) imply: % 68.97/10.82 | (585) op(e0, e1) = all_8_33 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (229), (460) imply: % 68.97/10.82 | (586) op(all_4_4, e4) = all_8_37 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (228), (460) imply: % 68.97/10.82 | (587) op(all_4_4, e0) = all_8_36 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (227), (463) imply: % 68.97/10.82 | (588) op(all_4_9, e3) = all_8_39 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (226), (463) imply: % 68.97/10.82 | (589) op(all_4_9, e0) = all_8_38 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (225), (349) imply: % 68.97/10.82 | (590) op(all_4_14, e2) = all_8_41 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (224), (349) imply: % 68.97/10.82 | (591) op(all_4_14, e0) = all_8_40 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (223), (346) imply: % 68.97/10.82 | (592) op(all_4_19, e1) = all_8_43 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (222), (346) imply: % 68.97/10.82 | (593) op(all_4_19, e0) = all_8_42 % 68.97/10.82 | % 68.97/10.82 | REDUCE: (221), (343) imply: % 68.97/10.82 | (594) op(all_4_24, e0) = all_8_44 % 68.97/10.82 | % 68.97/10.82 | BETA: splitting (269) gives: % 68.97/10.82 | % 68.97/10.82 | Case 1: % 68.97/10.82 | | % 68.97/10.82 | | (595) ~ (all_8_64 = e0) % 68.97/10.82 | | % 68.97/10.82 | | REDUCE: (450), (595) imply: % 68.97/10.82 | | (596) $false % 68.97/10.83 | | % 68.97/10.83 | | CLOSE: (596) is inconsistent. % 68.97/10.83 | | % 68.97/10.83 | Case 2: % 68.97/10.83 | | % 68.97/10.83 | | (597) all_8_63 = e1 % 68.97/10.83 | | % 68.97/10.83 | | COMBINE_EQS: (459), (597) imply: % 68.97/10.83 | | (598) all_4_23 = e1 % 68.97/10.83 | | % 68.97/10.83 | | SIMP: (598) implies: % 68.97/10.83 | | (599) all_4_23 = e1 % 68.97/10.83 | | % 68.97/10.83 | | COMBINE_EQS: (359), (599) imply: % 68.97/10.83 | | (600) all_10_19 = e1 % 68.97/10.83 | | % 68.97/10.83 | | REDUCE: (98), (599) imply: % 68.97/10.83 | | (601) ~ (all_4_3 = e1) % 68.97/10.83 | | % 68.97/10.83 | | REDUCE: (72), (599) imply: % 68.97/10.83 | | (602) ~ (all_4_8 = e1) % 68.97/10.83 | | % 68.97/10.83 | | REDUCE: (53), (599) imply: % 68.97/10.83 | | (603) ~ (all_4_13 = e1) % 68.97/10.83 | | % 68.97/10.83 | | REDUCE: (33), (599) imply: % 68.97/10.83 | | (604) ~ (all_4_20 = e1) % 68.97/10.83 | | % 68.97/10.83 | | REDUCE: (30), (599) imply: % 68.97/10.83 | | (605) ~ (all_4_21 = e1) % 68.97/10.83 | | % 68.97/10.83 | | REDUCE: (28), (599) imply: % 68.97/10.83 | | (606) ~ (all_4_22 = e1) % 68.97/10.83 | | % 68.97/10.83 | | REDUCE: (26), (599) imply: % 68.97/10.83 | | (607) ~ (all_4_24 = e1) % 68.97/10.83 | | % 68.97/10.83 | | SIMP: (607) implies: % 68.97/10.83 | | (608) ~ (all_4_24 = e1) % 68.97/10.83 | | % 68.97/10.83 | | REDUCE: (550), (599) imply: % 68.97/10.83 | | (609) ~ (e1 = e0) % 68.97/10.83 | | % 68.97/10.83 | | REDUCE: (584), (599) imply: % 68.97/10.83 | | (610) op(e1, e1) = all_8_34 % 68.97/10.83 | | % 68.97/10.83 | | BETA: splitting (277) gives: % 68.97/10.83 | | % 68.97/10.83 | | Case 1: % 68.97/10.83 | | | % 68.97/10.83 | | | (611) ~ (all_8_49 = e2) % 68.97/10.83 | | | % 68.97/10.83 | | | REDUCE: (421), (611) imply: % 68.97/10.83 | | | (612) ~ (all_4_0 = e2) % 68.97/10.83 | | | % 68.97/10.83 | | | BETA: splitting (275) gives: % 68.97/10.83 | | | % 68.97/10.83 | | | Case 1: % 68.97/10.83 | | | | % 69.21/10.83 | | | | (613) ~ (all_8_54 = e4) % 69.21/10.83 | | | | % 69.21/10.83 | | | | REDUCE: (426), (613) imply: % 69.21/10.83 | | | | (614) ~ (all_4_6 = e4) % 69.21/10.83 | | | | % 69.21/10.83 | | | | BETA: splitting (271) gives: % 69.21/10.83 | | | | % 69.21/10.83 | | | | Case 1: % 69.21/10.83 | | | | | % 69.21/10.83 | | | | | (615) ~ (all_8_59 = e4) % 69.21/10.83 | | | | | % 69.21/10.83 | | | | | REDUCE: (437), (615) imply: % 69.21/10.83 | | | | | (616) ~ (all_4_12 = e4) % 69.21/10.83 | | | | | % 69.21/10.83 | | | | | GROUND_INST: instantiating (function-axioms) with all_4_19, all_8_33, % 69.21/10.83 | | | | | e1, e0, simplifying with (125), (585) gives: % 69.21/10.83 | | | | | (617) all_8_33 = all_4_19 % 69.21/10.83 | | | | | % 69.21/10.83 | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_34, e1, % 69.21/10.83 | | | | | e1, simplifying with (21), (610) gives: % 69.21/10.83 | | | | | (618) all_8_34 = e0 % 69.21/10.83 | | | | | % 69.21/10.83 | | | | | GROUND_INST: instantiating (function-axioms) with all_4_13, all_8_4, % 69.21/10.83 | | | | | e2, e1, simplifying with (131), (554) gives: % 69.21/10.83 | | | | | (619) all_8_4 = all_4_13 % 69.21/10.83 | | | | | % 69.21/10.83 | | | | | GROUND_INST: instantiating (function-axioms) with all_4_3, all_8_3, % 69.21/10.83 | | | | | e4, e1, simplifying with (133), (553) gives: % 69.21/10.83 | | | | | (620) all_8_3 = all_4_3 % 69.21/10.83 | | | | | % 69.21/10.83 | | | | | GROUND_INST: instantiating (function-axioms) with all_4_11, all_8_18, % 69.21/10.83 | | | | | e2, e3, simplifying with (141), (570) gives: % 69.21/10.83 | | | | | (621) all_8_18 = all_4_11 % 69.21/10.83 | | | | | % 69.21/10.83 | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1, all_8_19, % 69.21/10.83 | | | | | e4, e3, simplifying with (143), (569) gives: % 69.21/10.83 | | | | | (622) all_8_19 = all_4_1 % 69.21/10.83 | | | | | % 69.21/10.83 | | | | | BETA: splitting (273) gives: % 69.21/10.83 | | | | | % 69.21/10.83 | | | | | Case 1: % 69.21/10.83 | | | | | | % 69.21/10.83 | | | | | | (623) ~ (all_8_54 = e1) % 69.21/10.83 | | | | | | % 69.21/10.83 | | | | | | REDUCE: (426), (623) imply: % 69.21/10.83 | | | | | | (624) ~ (all_4_6 = e1) % 69.21/10.83 | | | | | | % 69.21/10.83 | | | | | | BETA: splitting (270) gives: % 69.21/10.83 | | | | | | % 69.21/10.83 | | | | | | Case 1: % 69.21/10.83 | | | | | | | % 69.21/10.83 | | | | | | | (625) ~ (all_8_59 = e0) % 69.21/10.83 | | | | | | | % 69.21/10.83 | | | | | | | REDUCE: (437), (625) imply: % 69.21/10.83 | | | | | | | (626) ~ (all_4_12 = e0) % 69.21/10.83 | | | | | | | % 69.21/10.83 | | | | | | | BETA: splitting (184) gives: % 69.21/10.83 | | | | | | | % 69.21/10.83 | | | | | | | Case 1: % 69.21/10.83 | | | | | | | | % 69.21/10.83 | | | | | | | | (627) all_6_12 = e1 % 69.21/10.83 | | | | | | | | % 69.21/10.83 | | | | | | | | COMBINE_EQS: (493), (627) imply: % 69.21/10.83 | | | | | | | | (628) all_4_12 = e1 % 69.21/10.83 | | | | | | | | % 69.21/10.83 | | | | | | | | REDUCE: (538), (628) imply: % 69.21/10.83 | | | | | | | | (629) $false % 69.21/10.83 | | | | | | | | % 69.21/10.83 | | | | | | | | CLOSE: (629) is inconsistent. % 69.21/10.83 | | | | | | | | % 69.21/10.83 | | | | | | | Case 2: % 69.21/10.83 | | | | | | | | % 69.21/10.83 | | | | | | | | (630) ~ (all_6_12 = e1) % 69.21/10.83 | | | | | | | | (631) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 | % 69.21/10.83 | | | | | | | | all_6_12 = e0 % 69.21/10.83 | | | | | | | | % 69.21/10.83 | | | | | | | | BETA: splitting (631) gives: % 69.21/10.83 | | | | | | | | % 69.21/10.83 | | | | | | | | Case 1: % 69.21/10.83 | | | | | | | | | % 69.21/10.83 | | | | | | | | | (632) all_6_12 = e4 % 69.21/10.83 | | | | | | | | | % 69.21/10.83 | | | | | | | | | COMBINE_EQS: (493), (632) imply: % 69.21/10.83 | | | | | | | | | (633) all_4_12 = e4 % 69.21/10.83 | | | | | | | | | % 69.21/10.83 | | | | | | | | | REDUCE: (616), (633) imply: % 69.21/10.83 | | | | | | | | | (634) $false % 69.21/10.83 | | | | | | | | | % 69.21/10.83 | | | | | | | | | CLOSE: (634) is inconsistent. % 69.21/10.83 | | | | | | | | | % 69.21/10.83 | | | | | | | | Case 2: % 69.21/10.83 | | | | | | | | | % 69.21/10.83 | | | | | | | | | (635) ~ (all_6_12 = e4) % 69.21/10.83 | | | | | | | | | (636) all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e0 % 69.21/10.83 | | | | | | | | | % 69.21/10.83 | | | | | | | | | BETA: splitting (636) gives: % 69.21/10.83 | | | | | | | | | % 69.21/10.83 | | | | | | | | | Case 1: % 69.21/10.83 | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | (637) all_6_12 = e2 % 69.21/10.83 | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | COMBINE_EQS: (493), (637) imply: % 69.21/10.83 | | | | | | | | | | (638) all_4_12 = e2 % 69.21/10.83 | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | COMBINE_EQS: (381), (638) imply: % 69.21/10.83 | | | | | | | | | | (639) all_10_8 = e2 % 69.21/10.83 | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | REDUCE: (78), (638) imply: % 69.21/10.83 | | | | | | | | | | (640) ~ (all_4_7 = e2) % 69.21/10.83 | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | REDUCE: (64), (638) imply: % 69.21/10.83 | | | | | | | | | | (641) ~ (all_4_11 = e2) % 69.21/10.83 | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | REDUCE: (59), (638) imply: % 69.21/10.83 | | | | | | | | | | (642) ~ (all_4_13 = e2) % 69.21/10.83 | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | SIMP: (642) implies: % 69.21/10.83 | | | | | | | | | | (643) ~ (all_4_13 = e2) % 69.21/10.83 | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | REDUCE: (58), (638) imply: % 69.21/10.83 | | | | | | | | | | (644) ~ (all_4_14 = e2) % 69.21/10.83 | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | SIMP: (644) implies: % 69.21/10.83 | | | | | | | | | | (645) ~ (all_4_14 = e2) % 69.21/10.83 | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | REDUCE: (57), (638) imply: % 69.21/10.83 | | | | | | | | | | (646) ~ (all_4_17 = e2) % 69.21/10.83 | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | SIMP: (646) implies: % 69.21/10.83 | | | | | | | | | | (647) ~ (all_4_17 = e2) % 69.21/10.83 | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | REDUCE: (56), (638) imply: % 69.21/10.83 | | | | | | | | | | (648) ~ (all_4_22 = e2) % 69.21/10.83 | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | SIMP: (648) implies: % 69.21/10.83 | | | | | | | | | | (649) ~ (all_4_22 = e2) % 69.21/10.83 | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | REDUCE: (616), (638) imply: % 69.21/10.83 | | | | | | | | | | (650) ~ (e4 = e2) % 69.21/10.83 | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | SIMP: (650) implies: % 69.21/10.83 | | | | | | | | | | (651) ~ (e4 = e2) % 69.21/10.83 | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | REDUCE: (527), (638) imply: % 69.21/10.83 | | | | | | | | | | (652) ~ (e3 = e2) % 69.21/10.83 | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | REDUCE: (538), (638) imply: % 69.21/10.83 | | | | | | | | | | (653) ~ (e2 = e1) % 69.21/10.83 | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | REDUCE: (626), (638) imply: % 69.21/10.83 | | | | | | | | | | (654) ~ (e2 = e0) % 69.21/10.83 | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | BETA: splitting (274) gives: % 69.21/10.83 | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | Case 1: % 69.21/10.83 | | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | | (655) ~ (all_8_54 = e2) % 69.21/10.83 | | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | | REDUCE: (426), (655) imply: % 69.21/10.83 | | | | | | | | | | | (656) ~ (all_4_6 = e2) % 69.21/10.83 | | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | | BETA: splitting (268) gives: % 69.21/10.83 | | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | | Case 1: % 69.21/10.83 | | | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | | | (657) ~ (all_8_69 = e4) % 69.21/10.83 | | | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | | | REDUCE: (343), (657) imply: % 69.21/10.83 | | | | | | | | | | | | (658) ~ (all_4_24 = e4) % 69.21/10.83 | | | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | | | BETA: splitting (276) gives: % 69.21/10.83 | | | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | | | Case 1: % 69.21/10.83 | | | | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | | | | (659) ~ (all_8_49 = e0) % 69.21/10.83 | | | | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | | | | REDUCE: (421), (659) imply: % 69.21/10.83 | | | | | | | | | | | | | (660) ~ (all_4_0 = e0) % 69.21/10.83 | | | | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | | | | BETA: splitting (194) gives: % 69.21/10.83 | | | | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | | | | Case 1: % 69.21/10.83 | | | | | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | | | | | (661) all_6_0 = e1 % 69.21/10.83 | | | | | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | | | | | REF_CLOSE: (479), (518), (661) are inconsistent by sub-proof % 69.21/10.83 | | | | | | | | | | | | | | #268. % 69.21/10.83 | | | | | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | | | | Case 2: % 69.21/10.83 | | | | | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | | | | | (662) all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | % 69.21/10.83 | | | | | | | | | | | | | | all_6_0 = e0 % 69.21/10.83 | | | | | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | | | | | BETA: splitting (662) gives: % 69.21/10.83 | | | | | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | | | | | Case 1: % 69.21/10.83 | | | | | | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | | | | | | (663) all_6_0 = e4 % 69.21/10.83 | | | | | | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | | | | | | COMBINE_EQS: (479), (663) imply: % 69.21/10.83 | | | | | | | | | | | | | | | (664) all_4_0 = e4 % 69.21/10.83 | | | | | | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | | | | | | SIMP: (664) implies: % 69.21/10.83 | | | | | | | | | | | | | | | (665) all_4_0 = e4 % 69.21/10.83 | | | | | | | | | | | | | | | % 69.21/10.83 | | | | | | | | | | | | | | | REDUCE: (123), (665) imply: % 69.21/10.84 | | | | | | | | | | | | | | | (666) ~ (all_4_1 = e4) % 69.21/10.84 | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | SIMP: (666) implies: % 69.21/10.84 | | | | | | | | | | | | | | | (667) ~ (all_4_1 = e4) % 69.21/10.84 | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | REDUCE: (121), (665) imply: % 69.21/10.84 | | | | | | | | | | | | | | | (668) ~ (all_4_3 = e4) % 69.21/10.84 | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | SIMP: (668) implies: % 69.21/10.84 | | | | | | | | | | | | | | | (669) ~ (all_4_3 = e4) % 69.21/10.84 | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | REDUCE: (120), (665) imply: % 69.21/10.84 | | | | | | | | | | | | | | | (670) ~ (all_4_4 = e4) % 69.21/10.84 | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | SIMP: (670) implies: % 69.21/10.84 | | | | | | | | | | | | | | | (671) ~ (all_4_4 = e4) % 69.21/10.84 | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | BETA: splitting (181) gives: % 69.21/10.84 | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | Case 1: % 69.21/10.84 | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | (672) all_6_15 = e1 % 69.21/10.84 | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | REF_CLOSE: (494), (601), (672) are inconsistent by sub-proof % 69.21/10.84 | | | | | | | | | | | | | | | | #267. % 69.21/10.84 | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | Case 2: % 69.21/10.84 | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | (673) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | % 69.21/10.84 | | | | | | | | | | | | | | | | all_6_15 = e0 % 69.21/10.84 | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | BETA: splitting (673) gives: % 69.21/10.84 | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | Case 1: % 69.21/10.84 | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | (674) all_6_15 = e4 % 69.21/10.84 | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (669), (674) are inconsistent by sub-proof % 69.21/10.84 | | | | | | | | | | | | | | | | | #266. % 69.21/10.84 | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | Case 2: % 69.21/10.84 | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | (675) all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0 % 69.21/10.84 | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | BETA: splitting (675) gives: % 69.21/10.84 | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | Case 1: % 69.21/10.84 | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | (676) all_6_15 = e2 % 69.21/10.84 | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (676) imply: % 69.21/10.84 | | | | | | | | | | | | | | | | | | (677) all_4_3 = e2 % 69.21/10.84 | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | SIMP: (677) implies: % 69.21/10.84 | | | | | | | | | | | | | | | | | | (678) all_4_3 = e2 % 69.21/10.84 | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | REDUCE: (114), (678) imply: % 69.21/10.84 | | | | | | | | | | | | | | | | | | (679) ~ (all_4_1 = e2) % 69.21/10.84 | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | REDUCE: (102), (678) imply: % 69.21/10.84 | | | | | | | | | | | | | | | | | | (680) ~ (all_4_4 = e2) % 69.21/10.84 | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | SIMP: (680) implies: % 69.21/10.84 | | | | | | | | | | | | | | | | | | (681) ~ (all_4_4 = e2) % 69.21/10.84 | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | REDUCE: (101), (678) imply: % 69.21/10.84 | | | | | | | | | | | | | | | | | | (682) ~ (all_4_8 = e2) % 69.21/10.84 | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | SIMP: (682) implies: % 69.21/10.84 | | | | | | | | | | | | | | | | | | (683) ~ (all_4_8 = e2) % 69.21/10.84 | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | BETA: splitting (266) gives: % 69.21/10.84 | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | Case 1: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | (684) ~ (all_8_69 = e2) % 69.21/10.84 | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | REDUCE: (343), (684) imply: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | (685) ~ (all_4_24 = e2) % 69.21/10.84 | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | Case 1: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | (686) ~ (all_8_69 = e3) % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (686) imply: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | (687) ~ (all_4_24 = e3) % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | Case 1: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | (688) all_6_24 = e1 % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (688) imply: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | (689) all_4_24 = e1 % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (608), (689) imply: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | (690) $false % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | CLOSE: (690) is inconsistent. % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | Case 2: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | (691) ~ (all_6_24 = e1) % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | (692) all_6_24 = e4 | all_6_24 = e3 | all_6_24 = e2 | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | all_6_24 = e0 % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (692) gives: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | (693) all_6_24 = e4 % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (693) imply: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | (694) all_4_24 = e4 % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (658), (694) imply: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | (695) $false % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (695) is inconsistent. % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | (696) all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e0 % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (696) gives: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | (697) all_6_24 = e2 % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (697) imply: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | (698) all_4_24 = e2 % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (698) imply: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | (699) $false % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (699) is inconsistent. % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | (700) ~ (all_6_24 = e2) % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | (701) all_6_24 = e3 | all_6_24 = e0 % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (701) gives: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | (702) all_6_24 = e3 % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (687), (702) are inconsistent by sub-proof % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | #265. % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | (703) all_6_24 = e0 % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (703) imply: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | (704) all_4_24 = e0 % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (704) implies: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | (705) all_4_24 = e0 % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (705) imply: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | (706) ~ (all_4_4 = e0) % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (705) imply: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | (707) ~ (all_4_14 = e0) % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (685), (705) imply: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | (708) ~ (e2 = e0) % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (608), (705) imply: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | (709) ~ (e1 = e0) % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (111), (113), (178), (190), (323), (366), (397), % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | (413), (480), (502), (516), (519), (523), (543), % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | (609), (639), (654), (667), (671), (679), (681), % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | (706), (707) are inconsistent by sub-proof #251. % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | End of split % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | End of split % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | End of split % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | Case 2: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | (710) all_8_69 = e3 % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | (711) all_8_66 = e0 % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (711) imply: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | (712) all_4_9 = e0 % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | SIMP: (712) implies: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | (713) all_4_9 = e0 % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (710) imply: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | (714) all_4_24 = e3 % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (713) imply: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | (715) ~ (all_4_4 = e0) % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (713) imply: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | (716) ~ (all_4_14 = e0) % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | SIMP: (716) implies: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | (717) ~ (all_4_14 = e0) % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (111), (113), (178), (190), (323), (366), (397), % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | (413), (480), (502), (516), (519), (523), (543), % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | (609), (639), (654), (667), (671), (679), (681), % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | (715), (717) are inconsistent by sub-proof #251. % 69.21/10.84 | | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | End of split % 69.21/10.84 | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | Case 2: % 69.21/10.84 | | | | | | | | | | | | | | | | | | | % 69.21/10.84 | | | | | | | | | | | | | | | | | | | (718) all_8_69 = e2 % 69.21/10.85 | | | | | | | | | | | | | | | | | | | (719) all_8_67 = e0 % 69.21/10.85 | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (719) imply: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | (720) all_4_14 = e0 % 69.21/10.85 | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | SIMP: (720) implies: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | (721) all_4_14 = e0 % 69.21/10.85 | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (718) imply: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | (722) all_4_24 = e2 % 69.21/10.85 | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | REDUCE: (96), (721) imply: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | (723) ~ (all_4_4 = e0) % 69.21/10.85 | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | REDUCE: (69), (722) imply: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | (724) ~ (all_4_9 = e2) % 69.21/10.85 | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | REDUCE: (645), (721) imply: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | (725) ~ (e2 = e0) % 69.21/10.85 | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | REDUCE: (36), (722) imply: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | (726) ~ (all_4_19 = e2) % 69.21/10.85 | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | Case 1: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | (727) all_6_20 = e1 % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (727) imply: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | (728) all_4_4 = e1 % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (728) imply: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | (729) ~ (all_4_1 = e1) % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | REDUCE: (523), (728) imply: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | (730) ~ (e3 = e1) % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | REDUCE: (681), (728) imply: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | (731) ~ (e2 = e1) % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | Case 1: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | (732) all_6_5 = e1 % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (480), (729), (732) are inconsistent by sub-proof % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | #250. % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | Case 2: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | (733) ~ (all_6_5 = e1) % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | (734) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | all_6_5 = e0 % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | (735) all_10_2 = e1 % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (403), (729), (735) are inconsistent by sub-proof % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | #249. % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | (736) all_10_3 = e1 | all_10_5 = e1 | all_10_10 = e1 | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | all_10_17 = e1 % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (736) gives: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | | (737) all_10_3 = e1 % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (737) imply: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | | (738) all_4_6 = e1 % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (624), (738) imply: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | | (739) $false % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (739) is inconsistent. % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | | (740) all_10_5 = e1 | all_10_10 = e1 | all_10_17 = e1 % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (740) gives: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | | % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.21/10.85 | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | (741) all_10_5 = e1 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (397), (536), (741) are inconsistent by sub-proof % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | #248. % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | (742) all_10_10 = e1 | all_10_17 = e1 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (742) gives: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | (743) all_10_10 = e1 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (743) imply: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | (744) all_4_16 = e1 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (744) implies: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | (745) all_4_16 = e1 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (745) imply: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | (746) ~ (all_4_17 = e1) % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (746) implies: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | (747) ~ (all_4_17 = e1) % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (748) all_6_13 = e1 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (747), (748) are inconsistent by sub-proof % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | #247. % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (749) ~ (all_6_13 = e1) % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (750) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_13 = e0 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (734) gives: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (751) all_6_5 = e4 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (480), (667), (751) are inconsistent by sub-proof % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | #260. % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (752) all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (753) all_10_9 = e2 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (753) imply: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (754) all_4_15 = e2 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (754) implies: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (755) all_4_15 = e2 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (755) imply: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (756) ~ (all_4_5 = e2) % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (752) gives: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (757) all_6_5 = e2 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (480), (679), (757) are inconsistent by sub-proof % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #259. % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (758) all_6_5 = e3 | all_6_5 = e0 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (758) gives: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (759) all_6_5 = e3 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (480), (519), (759) are inconsistent by sub-proof % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #258. % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (760) all_6_5 = e0 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (480), (760) imply: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (761) all_4_1 = e0 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (761) implies: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (762) all_4_1 = e0 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (762) imply: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (763) ~ (all_4_6 = e0) % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (763) implies: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (764) ~ (all_4_6 = e0) % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (765) all_6_6 = e1 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (624), (765) are inconsistent by sub-proof % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #246. % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (766) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_6 = e0 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (767) all_10_6 = e1 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (388), (767) are inconsistent by sub-proof % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #245. % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (768) all_10_7 = e1 | all_10_8 = e1 | all_10_11 = e1 | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e1 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (768) gives: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (769) all_10_7 = e1 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (766) gives: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (770) all_6_6 = e4 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (614), (770) are inconsistent by sub-proof % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #244. % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (771) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e0 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (771) gives: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (772) all_6_6 = e2 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (656), (772) are inconsistent by sub-proof % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #243. % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (773) ~ (all_6_6 = e2) % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (774) all_6_6 = e3 | all_6_6 = e0 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (774) gives: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (775) all_6_6 = e3 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (775) imply: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (776) all_4_6 = e3 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (776) implies: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (777) all_4_6 = e3 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (777) imply: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (778) all_10_3 = e3 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (779) all_6_16 = e1 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (602), (779) are inconsistent by sub-proof % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #242. % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (780) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (780) gives: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (781) all_6_16 = e4 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (781) imply: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (782) all_4_8 = e4 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (782) implies: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (783) all_4_8 = e4 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (783) imply: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (784) all_10_13 = e4 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (785) all_10_1 = e2 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (785) imply: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (786) all_4_5 = e2 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (786) imply: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (787) $false % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (787) is inconsistent. % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (788) all_10_3 = e2 | all_10_7 = e2 | all_10_13 = e2 | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e2 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (788) gives: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (789) all_10_3 = e2 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (778), (789) imply: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (790) e3 = e2 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (790) imply: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (791) $false % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (791) is inconsistent. % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (792) all_10_7 = e2 | all_10_13 = e2 | all_10_21 = e2 % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (354), (651), (653), (724), (769), (784), (792) % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #238. % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (793) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (486), (496), (534), (656), (683), (764), % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (771), (793) are inconsistent by sub-proof #235. % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (794) all_6_6 = e0 % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (764), (794) are inconsistent by sub-proof % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #237. % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (795) all_10_8 = e1 | all_10_11 = e1 | all_10_18 = e1 % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (375), (378), (606), (639), (653), (747), (795) % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #233. % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (796) all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e2 % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (363), (378), (491), (515), (529), (546), (647), % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (653), (654), (726), (743), (750), (796) are % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #230. % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | (797) all_10_17 = e1 % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (797) imply: % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | (798) all_4_21 = e1 % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (605), (798) imply: % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | (799) $false % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (799) is inconsistent. % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | (800) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | all_6_20 = e0 % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (523), (671), (681), (723), (800) are % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #261. % 69.31/10.86 | | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.86 | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | (801) all_6_15 = e3 | all_6_15 = e0 % 69.31/10.86 | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (521), (532), (801) are inconsistent by % 69.31/10.86 | | | | | | | | | | | | | | | | | | sub-proof #229. % 69.31/10.86 | | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | Case 2: % 69.31/10.86 | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | (802) all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0 % 69.31/10.86 | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | REF_CLOSE: (479), (517), (612), (660), (802) are inconsistent % 69.31/10.86 | | | | | | | | | | | | | | | by sub-proof #228. % 69.31/10.86 | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | End of split % 69.31/10.86 | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | Case 2: % 69.31/10.86 | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | (803) all_8_49 = e0 % 69.31/10.86 | | | | | | | | | | | | | (804) all_8_48 = e4 % 69.31/10.86 | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | COMBINE_EQS: (452), (804) imply: % 69.31/10.86 | | | | | | | | | | | | | (805) all_4_20 = e4 % 69.31/10.86 | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | COMBINE_EQS: (421), (803) imply: % 69.31/10.86 | | | | | | | | | | | | | (806) all_4_0 = e0 % 69.31/10.86 | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | COMBINE_EQS: (406), (805) imply: % 69.31/10.86 | | | | | | | | | | | | | (807) all_10_16 = e4 % 69.31/10.86 | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | COMBINE_EQS: (419), (806) imply: % 69.31/10.86 | | | | | | | | | | | | | (808) all_10_0 = e0 % 69.31/10.86 | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | REDUCE: (123), (806) imply: % 69.31/10.86 | | | | | | | | | | | | | (809) ~ (all_4_1 = e0) % 69.31/10.86 | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | SIMP: (809) implies: % 69.31/10.86 | | | | | | | | | | | | | (810) ~ (all_4_1 = e0) % 69.31/10.86 | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | REDUCE: (121), (806) imply: % 69.31/10.86 | | | | | | | | | | | | | (811) ~ (all_4_3 = e0) % 69.31/10.86 | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | REDUCE: (120), (806) imply: % 69.31/10.86 | | | | | | | | | | | | | (812) ~ (all_4_4 = e0) % 69.31/10.86 | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | SIMP: (812) implies: % 69.31/10.86 | | | | | | | | | | | | | (813) ~ (all_4_4 = e0) % 69.31/10.86 | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | REDUCE: (117), (806) imply: % 69.31/10.86 | | | | | | | | | | | | | (814) ~ (all_4_15 = e0) % 69.31/10.86 | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | REDUCE: (87), (805) imply: % 69.31/10.86 | | | | | | | | | | | | | (815) ~ (all_4_5 = e4) % 69.31/10.86 | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | REDUCE: (46), (805) imply: % 69.31/10.86 | | | | | | | | | | | | | (816) ~ (all_4_15 = e4) % 69.31/10.86 | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | REDUCE: (35), (805) imply: % 69.31/10.86 | | | | | | | | | | | | | (817) ~ (all_4_21 = e4) % 69.31/10.86 | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | SIMP: (817) implies: % 69.31/10.86 | | | | | | | | | | | | | (818) ~ (all_4_21 = e4) % 69.31/10.86 | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | REDUCE: (34), (805) imply: % 69.31/10.86 | | | | | | | | | | | | | (819) ~ (all_4_22 = e4) % 69.31/10.86 | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | SIMP: (819) implies: % 69.31/10.86 | | | | | | | | | | | | | (820) ~ (all_4_22 = e4) % 69.31/10.86 | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | REDUCE: (32), (805) imply: % 69.31/10.86 | | | | | | | | | | | | | (821) ~ (all_4_24 = e4) % 69.31/10.86 | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | REDUCE: (557), (805) imply: % 69.31/10.86 | | | | | | | | | | | | | (822) op(e4, e4) = all_8_7 % 69.31/10.86 | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | REDUCE: (148), (806) imply: % 69.31/10.86 | | | | | | | | | | | | | (823) op(e4, e4) = e0 % 69.31/10.86 | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | BETA: splitting (182) gives: % 69.31/10.86 | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | Case 1: % 69.31/10.86 | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | (824) all_6_14 = e1 % 69.31/10.86 | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | COMBINE_EQS: (492), (824) imply: % 69.31/10.86 | | | | | | | | | | | | | | (825) all_4_22 = e1 % 69.31/10.86 | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | REDUCE: (606), (825) imply: % 69.31/10.86 | | | | | | | | | | | | | | (826) $false % 69.31/10.86 | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | CLOSE: (826) is inconsistent. % 69.31/10.86 | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | Case 2: % 69.31/10.86 | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | (827) ~ (all_6_14 = e1) % 69.31/10.86 | | | | | | | | | | | | | | (828) all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 | % 69.31/10.86 | | | | | | | | | | | | | | all_6_14 = e0 % 69.31/10.86 | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | BETA: splitting (828) gives: % 69.31/10.86 | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | Case 1: % 69.31/10.86 | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | (829) all_6_14 = e4 % 69.31/10.86 | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | COMBINE_EQS: (492), (829) imply: % 69.31/10.86 | | | | | | | | | | | | | | | (830) all_4_22 = e4 % 69.31/10.86 | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | REDUCE: (820), (830) imply: % 69.31/10.86 | | | | | | | | | | | | | | | (831) $false % 69.31/10.86 | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | CLOSE: (831) is inconsistent. % 69.31/10.86 | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | Case 2: % 69.31/10.86 | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | (832) all_6_14 = e3 | all_6_14 = e2 | all_6_14 = e0 % 69.31/10.86 | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | BETA: splitting (832) gives: % 69.31/10.86 | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | Case 1: % 69.31/10.86 | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | (833) all_6_14 = e2 % 69.31/10.86 | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | COMBINE_EQS: (492), (833) imply: % 69.31/10.86 | | | | | | | | | | | | | | | | (834) all_4_22 = e2 % 69.31/10.86 | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | REDUCE: (649), (834) imply: % 69.31/10.86 | | | | | | | | | | | | | | | | (835) $false % 69.31/10.86 | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | CLOSE: (835) is inconsistent. % 69.31/10.86 | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | Case 2: % 69.31/10.86 | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | (836) all_6_14 = e3 | all_6_14 = e0 % 69.31/10.86 | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | BETA: splitting (836) gives: % 69.31/10.86 | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | Case 1: % 69.31/10.86 | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | (837) all_6_14 = e3 % 69.31/10.86 | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | COMBINE_EQS: (492), (837) imply: % 69.31/10.86 | | | | | | | | | | | | | | | | | (838) all_4_22 = e3 % 69.31/10.86 | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | REDUCE: (531), (838) imply: % 69.31/10.86 | | | | | | | | | | | | | | | | | (839) $false % 69.31/10.86 | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | CLOSE: (839) is inconsistent. % 69.31/10.86 | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | Case 2: % 69.31/10.86 | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | (840) all_6_14 = e0 % 69.31/10.86 | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | COMBINE_EQS: (492), (840) imply: % 69.31/10.86 | | | | | | | | | | | | | | | | | (841) all_4_22 = e0 % 69.31/10.86 | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (841) imply: % 69.31/10.86 | | | | | | | | | | | | | | | | | (842) all_8_58 = e0 % 69.31/10.86 | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (841) imply: % 69.31/10.86 | | | | | | | | | | | | | | | | | (843) all_10_18 = e0 % 69.31/10.86 | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | REDUCE: (31), (841) imply: % 69.31/10.86 | | | | | | | | | | | | | | | | | (844) ~ (all_4_21 = e0) % 69.31/10.86 | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | REDUCE: (27), (841) imply: % 69.31/10.86 | | | | | | | | | | | | | | | | | (845) ~ (all_4_24 = e0) % 69.31/10.86 | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | SIMP: (845) implies: % 69.31/10.86 | | | | | | | | | | | | | | | | | (846) ~ (all_4_24 = e0) % 69.31/10.86 | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | REDUCE: (575), (841) imply: % 69.31/10.86 | | | | | | | | | | | | | | | | | (847) op(e0, e2) = all_8_25 % 69.31/10.86 | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | REDUCE: (576), (841) imply: % 69.31/10.86 | | | | | | | | | | | | | | | | | (848) op(e0, e0) = all_8_26 % 69.31/10.86 | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | REDUCE: (134), (841) imply: % 69.31/10.86 | | | | | | | | | | | | | | | | | (849) op(e2, e0) = e0 % 69.31/10.86 | | | | | | | | | | | | | | | | | % 69.31/10.86 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_24, % 69.31/10.86 | | | | | | | | | | | | | | | | | all_8_26, e0, e0, simplifying with (124), (848) % 69.31/10.86 | | | | | | | | | | | | | | | | | gives: % 69.31/10.86 | | | | | | | | | | | | | | | | | (850) all_8_26 = all_4_24 % 69.31/10.86 | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_14, % 69.31/10.87 | | | | | | | | | | | | | | | | | all_8_25, e2, e0, simplifying with (126), (847) % 69.31/10.87 | | | | | | | | | | | | | | | | | gives: % 69.31/10.87 | | | | | | | | | | | | | | | | | (851) all_8_25 = all_4_14 % 69.31/10.87 | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_7, % 69.31/10.87 | | | | | | | | | | | | | | | | | e4, e4, simplifying with (822), (823) gives: % 69.31/10.87 | | | | | | | | | | | | | | | | | (852) all_8_7 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | BETA: splitting (272) gives: % 69.31/10.87 | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.87 | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | (853) ~ (all_8_54 = e0) % 69.31/10.87 | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | REDUCE: (426), (853) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | (854) ~ (all_4_6 = e0) % 69.31/10.87 | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives: % 69.31/10.87 | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | (855) all_6_6 = e1 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (624), (855) are inconsistent by sub-proof % 69.31/10.87 | | | | | | | | | | | | | | | | | | | #246. % 69.31/10.87 | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | (856) ~ (all_6_6 = e1) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | (857) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | all_6_6 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | BETA: splitting (857) gives: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | (858) all_6_6 = e4 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (614), (858) are inconsistent by sub-proof % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | #244. % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | (859) ~ (all_6_6 = e4) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | (860) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | BETA: splitting (327) gives: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | (861) all_10_2 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (403), (810), (861) are inconsistent by sub-proof % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | #227. % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | (862) all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | all_10_17 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (860) gives: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | (863) all_6_6 = e2 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (656), (863) are inconsistent by sub-proof % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | #243. % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | (864) ~ (all_6_6 = e2) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | (865) all_6_6 = e3 | all_6_6 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (862) gives: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | (866) all_10_3 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (866) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | (867) all_4_6 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (854), (867) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | (868) $false % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (868) is inconsistent. % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | (869) ~ (all_10_3 = e0) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | (870) all_10_5 = e0 | all_10_10 = e0 | all_10_17 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (870) gives: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | (871) all_10_5 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (871) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | (872) all_4_11 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (872) implies: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | (873) all_4_11 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (873) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | (874) ~ (all_4_13 = e0) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (873) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | (875) ~ (all_4_14 = e0) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (875) implies: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | (876) ~ (all_4_14 = e0) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (873) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | (877) ~ (all_4_16 = e0) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (873) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | (878) ~ (all_4_21 = e0) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (873) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | (879) ~ (e1 = e0) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (873) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | (880) op(e0, e2) = all_8_13 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (873) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | (881) op(e3, e2) = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (865) gives: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | (882) all_6_6 = e3 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (882) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | (883) all_4_6 = e3 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (883) implies: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | (884) all_4_6 = e3 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (884) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | (885) all_10_3 = e3 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (884) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | (886) ~ (all_4_5 = e3) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (884) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | (887) ~ (all_4_8 = e3) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (887) implies: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | (888) ~ (all_4_8 = e3) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (884) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | (889) ~ (all_4_9 = e3) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (889) implies: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | (890) ~ (all_4_9 = e3) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (884) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | (891) ~ (all_4_21 = e3) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (891) implies: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | (892) ~ (all_4_21 = e3) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (614), (884) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | (893) ~ (e4 = e3) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (266) gives: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (894) ~ (all_8_69 = e2) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (894) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (895) ~ (all_4_24 = e2) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (896) all_10_24 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (896) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (897) all_4_24 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (897) implies: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (898) all_4_24 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (846), (898) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (899) $false % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (899) is inconsistent. % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (900) (all_10_16 = e0 | all_10_17 = e0 | all_10_18 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e0) & (all_10_20 = e0 | all_10_21 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 | all_10_22 = e0 | all_10_23 = e0) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (900) implies: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (901) all_10_20 = e0 | all_10_21 = e0 | all_10_22 = e0 | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (901) gives: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (902) all_10_20 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (902) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (903) all_4_4 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (903) implies: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (904) all_4_4 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (813), (904) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (905) $false % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (905) is inconsistent. % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (906) all_10_21 = e0 | all_10_22 = e0 | all_10_23 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (906) gives: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (907) all_10_21 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (907) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (908) all_4_9 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (908) implies: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (909) all_4_9 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (909) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (910) ~ (all_4_5 = e0) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (890), (909) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (911) ~ (e3 = e0) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (589), (909) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (912) op(e0, e0) = all_8_38 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (913) all_6_24 = e1 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (608), (913) are inconsistent by sub-proof % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #226. % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (914) all_6_24 = e4 | all_6_24 = e3 | all_6_24 = e2 | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_24 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (915) all_10_1 = e1 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (915) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (916) all_4_5 = e1 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (533), (916) imply: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (917) $false % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (917) is inconsistent. % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (918) ~ (all_10_1 = e1) % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (919) all_10_3 = e1 | all_10_7 = e1 | all_10_13 = e1 | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e1 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (914) gives: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (920) all_6_24 = e4 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (658), (920) are inconsistent by sub-proof % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #225. % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (921) all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (922) all_10_12 = e3 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (372), (521), (922) are inconsistent by sub-proof % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #224. % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (923) all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e3 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (924) all_6_1 = e1 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (533), (924) are inconsistent by sub-proof % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #223. % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (925) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_1 = e0 % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (926) all_10_16 = e3 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (807), (926) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (927) e4 = e3 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (927) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (928) $false % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (928) is inconsistent. % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (929) all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e3 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (929) gives: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (930) all_10_17 = e3 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (930) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (931) all_4_21 = e3 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (892), (931) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (932) $false % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (932) is inconsistent. % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (933) all_10_18 = e3 | all_10_19 = e3 | all_10_24 = e3 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (921) gives: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (934) all_6_24 = e2 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (895), (934) are inconsistent by sub-proof % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #222. % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (935) ~ (all_6_24 = e2) % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (936) all_6_24 = e3 | all_6_24 = e0 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (919) gives: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (937) all_10_3 = e1 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (885), (937) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (938) e3 = e1 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (938) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (939) $false % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (939) is inconsistent. % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (940) all_10_7 = e1 | all_10_13 = e1 | all_10_21 = e1 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (941) all_10_16 = e2 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (807), (941) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (942) e4 = e2 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (651), (942) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (943) $false % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (943) is inconsistent. % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (944) all_10_17 = e2 | all_10_18 = e2 | all_10_19 = e2 | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e2 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (925) gives: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (945) all_6_1 = e4 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (815), (945) are inconsistent by sub-proof % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #221. % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (946) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (923) gives: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (947) all_10_13 = e3 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (369), (888), (947) are inconsistent by sub-proof % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #220. % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (948) all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (946) gives: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (949) all_6_1 = e2 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (949) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (950) all_4_5 = e2 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (950) implies: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (951) all_4_5 = e2 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (951) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (952) ~ (all_4_7 = e2) % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (951) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (953) ~ (all_4_8 = e2) % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (953) implies: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (954) ~ (all_4_8 = e2) % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (951) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (955) ~ (all_4_15 = e2) % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (955) implies: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (956) ~ (all_4_15 = e2) % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (551), (951) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (957) op(e2, e4) = all_8_1 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (951) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (958) op(e2, e3) = all_8_2 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (951) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (959) op(e4, e3) = e2 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (960) all_6_3 = e1 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (542), (960) are inconsistent by sub-proof % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #219. % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (961) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e0 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (962) all_6_16 = e1 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (602), (962) are inconsistent by sub-proof % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #242. % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (963) ~ (all_6_16 = e1) % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (964) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (964) gives: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (965) all_6_16 = e4 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (965) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (966) all_4_8 = e4 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (966) implies: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (967) all_4_8 = e4 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (967) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (968) all_10_13 = e4 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (967) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (969) ~ (all_4_13 = e4) % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (969) implies: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (970) ~ (all_4_13 = e4) % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (967) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (971) op(e4, e3) = all_8_30 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (967) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (972) op(e1, e3) = e4 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (973) all_6_17 = e1 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (973) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (974) all_4_13 = e1 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (603), (974) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (975) $false % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (975) is inconsistent. % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (976) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_17 = e0 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (977) all_6_11 = e1 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (977) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (978) all_4_7 = e1 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (978) implies: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (979) all_4_7 = e1 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (77), (979) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (980) ~ (all_4_17 = e1) % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (980) implies: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (981) ~ (all_4_17 = e1) % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (525), (979) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (982) ~ (e3 = e1) % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (640), (979) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (983) ~ (e2 = e1) % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (571), (979) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (984) op(e1, e3) = all_8_21 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (979) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (985) op(e2, e3) = e1 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (986) all_6_13 = e1 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (981), (986) are inconsistent by sub-proof % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #247. % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (987) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_13 = e0 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (944) gives: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (988) all_10_17 = e2 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (988) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (989) all_4_21 = e2 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (989) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (990) ~ (all_4_16 = e2) % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (989) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (991) op(e2, e0) = all_8_17 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (992) all_10_12 = e2 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (992) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (993) all_4_3 = e2 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (993) implies: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (994) all_4_3 = e2 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (994) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (995) ~ (all_4_1 = e2) % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (994) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (996) op(e2, e4) = all_8_28 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (994) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (997) op(e2, e1) = all_8_27 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (994) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (998) op(e1, e4) = e2 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (933) gives: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (999) all_10_18 = e3 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (843), (999) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1000) e3 = e0 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1000) implies: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1001) e3 = e0 % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1001) imply: % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1002) $false % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1002) is inconsistent. % 69.31/10.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1003) all_10_19 = e3 | all_10_24 = e3 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (961) gives: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1004) all_6_3 = e4 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (816), (1004) are inconsistent by sub-proof % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #218. % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1005) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (976) gives: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1006) all_6_17 = e4 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (1006) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1007) all_4_13 = e4 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (970), (1007) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1008) $false % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1008) is inconsistent. % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1009) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1009) gives: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1010) all_6_17 = e2 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (1010) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1011) all_4_13 = e2 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (643), (1011) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1012) $false % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1012) is inconsistent. % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1013) all_6_17 = e3 | all_6_17 = e0 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (948) gives: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1014) all_10_14 = e3 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (1014) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1015) all_4_13 = e3 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1015) implies: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1016) all_4_13 = e3 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (1016) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1017) all_8_4 = e3 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (1016) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1018) op(e3, e2) = all_8_32 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1019) all_6_22 = e1 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (1019) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1020) all_4_14 = e1 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (540), (1020) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1021) $false % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1021) is inconsistent. % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1022) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_22 = e0 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1023) all_10_9 = e2 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (1023) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1024) all_4_15 = e2 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (956), (1024) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1025) $false % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1025) is inconsistent. % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1026) all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e2 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1026) gives: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1027) all_10_10 = e2 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (1027) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1028) all_4_16 = e2 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1028) implies: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1029) all_4_16 = e2 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (990), (1029) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1030) $false % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1030) is inconsistent. % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1031) all_10_11 = e2 | all_10_15 = e2 | all_10_23 = e2 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1031) gives: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1032) all_10_11 = e2 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (1032) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1033) all_4_17 = e2 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1033) implies: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1034) all_4_17 = e2 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (647), (1034) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1035) $false % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1035) is inconsistent. % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1036) all_10_15 = e2 | all_10_23 = e2 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1036) gives: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1037) all_10_15 = e2 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (363), (654), (1037) are inconsistent by sub-proof % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #232. % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1038) all_10_23 = e2 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (1038) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1039) all_4_19 = e2 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1039) implies: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1040) all_4_19 = e2 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (1040) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1041) ~ (all_4_4 = e2) % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (1040) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1042) ~ (all_4_24 = e2) % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (1040) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1043) op(e2, e1) = all_8_43 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1044) all_10_9 = e3 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (1044) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1045) all_4_15 = e3 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (1045) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1046) ~ (all_4_16 = e3) % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1046) implies: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1047) ~ (all_4_16 = e3) % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (556), (1045) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1048) op(e3, e1) = all_8_6 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (1045) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1049) op(e4, e1) = e3 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (987) gives: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1050) all_6_13 = e4 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (1050) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1051) all_4_17 = e4 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1051) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1052) ~ (all_4_16 = e4) % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (573), (1051) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1053) op(e4, e2) = all_8_23 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (1051) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1054) op(e4, e1) = all_8_24 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1051) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1055) op(e2, e1) = e4 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1056) all_6_8 = e1 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (1056) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1057) all_4_16 = e1 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1057) implies: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1058) all_4_16 = e1 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1058) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1059) ~ (all_4_1 = e1) % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (1058) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1060) op(e1, e3) = all_8_14 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (1058) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1061) op(e1, e1) = all_8_15 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1058) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1062) op(e3, e1) = e1 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1063) all_6_5 = e1 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (480), (1059), (1063) are inconsistent by % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #250. % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1064) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_5 = e0 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1003) gives: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1065) all_10_19 = e3 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (600), (1065) are inconsistent by sub-proof % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #217. % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1066) all_10_24 = e3 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (1066) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1067) all_4_24 = e3 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1067) implies: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1068) all_4_24 = e3 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (850), (1068) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1069) all_8_26 = e3 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (1068) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1070) ~ (all_4_14 = e3) % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (1068) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1071) op(e0, e0) = e3 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1064) gives: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1072) all_6_5 = e4 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (480), (1072) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1073) all_4_1 = e4 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1073) implies: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1074) all_4_1 = e4 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (622), (1074) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1075) all_8_19 = e4 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1074) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1076) ~ (all_4_4 = e4) % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1076) implies: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1077) ~ (all_4_4 = e4) % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (1074) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1078) op(e4, e4) = all_8_10 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (1074) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1079) op(e4, e3) = all_8_9 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1080) all_6_20 = e1 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (1080) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1081) all_4_4 = e1 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1077), (1081) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1082) ~ (e4 = e1) % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (1081) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1083) op(e1, e4) = all_8_37 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1022) gives: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1084) all_6_22 = e4 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (1084) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1085) all_4_14 = e4 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1085) implies: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1086) all_4_14 = e4 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (590), (1086) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1087) op(e4, e2) = all_8_41 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (1086) imply: % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1088) op(e0, e2) = e4 % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_38, % 69.31/10.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (912), (1071) gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1089) all_8_38 = e3 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_13, % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e0, simplifying with (880), (1088) gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1090) all_8_13 = e4 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_15, % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (21), (1061) gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1091) all_8_15 = e0 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_21, % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_14, e3, e1, simplifying with (984), (1060) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1092) all_8_14 = all_8_21 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_14, % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (972), (1060) gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1093) all_8_14 = e4 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_37, % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e1, simplifying with (998), (1083) gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1094) all_8_37 = e2 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_17, % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (849), (991) gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1095) all_8_17 = e0 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_43, % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27, e1, e2, simplifying with (997), (1043) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1096) all_8_27 = all_8_43 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_27, % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (997), (1055) gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1097) all_8_27 = e4 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_2, % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (958), (985) gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1098) all_8_2 = e1 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_1, % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (22), (957) gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1099) all_8_1 = e3 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_28, % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, e4, e2, simplifying with (957), (996) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1100) all_8_1 = all_8_28 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_6, % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (1048), (1062) gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1101) all_8_6 = e1 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_32, % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (881), (1018) gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1102) all_8_32 = e0 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_24, % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e4, simplifying with (1049), (1054) gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1103) all_8_24 = e3 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_23, % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (23), (1053) gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1104) all_8_23 = e1 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_41, % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23, e2, e4, simplifying with (1053), (1087) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1105) all_8_23 = all_8_41 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_30, % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_9, e3, e4, simplifying with (971), (1079) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1106) all_8_9 = all_8_30 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_9, % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (959), (1079) gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1107) all_8_9 = e2 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_10, % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (823), (1078) gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1108) all_8_10 = e0 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1099), (1100) imply: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1109) all_8_28 = e3 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1106), (1107) imply: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1110) all_8_30 = e2 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1110) implies: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1111) all_8_30 = e2 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1092), (1093) imply: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1112) all_8_21 = e4 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1112) implies: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1113) all_8_21 = e4 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1104), (1105) imply: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1114) all_8_41 = e1 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1114) implies: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1115) all_8_41 = e1 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1096), (1097) imply: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1116) all_8_43 = e4 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1117) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) | (all_8_13 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1117) gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1118) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1118) gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1119) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1119) gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1120) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (1098), (1120) are inconsistent by sub-proof % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #216. % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1121) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (1017), (1121) are inconsistent by sub-proof % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #215. % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1122) (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_8 = e4 & ~ (all_8_7 = e0) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_48 = all_8_65)) | (all_8_10 = e3 & % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1122) gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1123) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (1101), (1123) are inconsistent by sub-proof % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #214. % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1124) (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1124) gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1125) all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1125) implies: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1126) ~ (all_8_7 = e0) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (852), (1126) imply: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1127) $false % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1127) is inconsistent. % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1128) all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1128) implies: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1129) all_8_10 = e3 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1108), (1129) imply: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1130) e3 = e0 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1130) implies: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1131) e3 = e0 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1131) imply: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1132) $false % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1132) is inconsistent. % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1133) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1133) gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1134) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1134) gives: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1135) all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1135) implies: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1136) all_8_13 = e3 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1090), (1136) imply: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1137) e4 = e3 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (1137) imply: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1138) $false % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1138) is inconsistent. % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1139) all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (1091), (1139) are inconsistent by sub-proof % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #213. % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1140) (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1140) gives: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1141) all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (1095), (1141) are inconsistent by sub-proof % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #212. % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1142) (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_51 = all_8_56)) % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (651), (1075), (1113), (1142) are inconsistent by % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #210. % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1143) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) | (all_8_35 = e1 & ~ (all_8_34 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_63 = all_8_68)) | (all_8_37 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_39 = e0 & ~ (all_8_38 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_53 = all_8_66)) | (all_8_41 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1143) gives: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1144) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1144) gives: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1145) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1145) gives: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1146) all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (1103), (1146) are inconsistent by sub-proof % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #209. % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1147) all_8_26 = e2 & ~ (all_8_25 = e0) & ~ (all_8_58 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67) % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1147) implies: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1148) all_8_26 = e2 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1069), (1148) imply: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1149) e3 = e2 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1149) imply: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1150) $false % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1150) is inconsistent. % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1151) (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1151) gives: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1152) all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (1109), (1152) are inconsistent by sub-proof % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #208. % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1153) (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61)) | (all_8_32 = e1 & ~ (all_8_31 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_57 = all_8_62)) % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1153) gives: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1154) all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (653), (1111), (1154) are inconsistent by % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #207. % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1155) all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1155) implies: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1156) all_8_32 = e1 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1102), (1156) imply: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1157) e1 = e0 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1157) implies: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1158) e1 = e0 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (609), (1158) imply: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1159) $false % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1159) is inconsistent. % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1160) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) | (all_8_39 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1160) gives: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1161) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1161) gives: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1162) all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68) % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1162) implies: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1163) ~ (all_8_34 = e0) % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (618), (1163) imply: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1164) $false % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1164) is inconsistent. % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1165) all_8_37 = e0 & ~ (all_8_36 = e4) & ~ (all_8_48 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_65) % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1165) implies: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1166) all_8_37 = e0 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1094), (1166) imply: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1167) e2 = e0 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (654), (1167) imply: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1168) $false % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1168) is inconsistent. % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1169) (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (609), (1089), (1115), (1116), (1169) are % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #204. % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1170) ~ (all_6_22 = e4) % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (504), (1170) imply: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1171) ~ (all_4_14 = e4) % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (74), (85), (180), (326), (366), % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (413), (486), (496), (516), (534), (602), (639), % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (651), (656), (854), (860), (871), (954), (1171) % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #202. % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1172) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | % 69.31/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_20 = e0 % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (523), (813), (1041), (1077), (1172) are % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #261. % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1173) all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0 % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (480), (519), (810), (995), (1173) are % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #256. % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1174) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_8 = e0 % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (545), (990), (1047), (1052), (1174) are % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #198. % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.31/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1175) all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (529), (546), (647), (1175) are % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #231. % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1176) ~ (all_10_9 = e3) % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (409), (1176) imply: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1177) ~ (all_4_15 = e3) % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (544), (956), (1005), (1177) are % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #196. % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1178) ~ (all_10_14 = e3) % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (366), (1178) imply: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1179) ~ (all_4_13 = e3) % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (543), (1013), (1179) are inconsistent by % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #195. % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1180) all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e2 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1180) gives: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1181) all_10_13 = e2 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (651), (968), (1181) are inconsistent by sub-proof % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #240. % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1182) all_10_14 = e2 | all_10_15 = e2 | all_10_19 = e2 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (948) gives: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1183) all_10_14 = e3 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (1183) imply: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1184) all_4_13 = e3 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1184) implies: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1185) all_4_13 = e3 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (363), (600), (653), (654), (1182), (1183) % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #192. % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1186) all_10_15 = e3 | all_10_19 = e3 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1186) gives: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1187) all_10_15 = e3 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (363), (1187) are inconsistent by sub-proof % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #191. % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1188) all_10_19 = e3 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (600), (1188) are inconsistent by sub-proof % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #217. % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1189) all_10_18 = e2 | all_10_19 = e2 | all_10_24 = e2 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1189) gives: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1190) all_10_18 = e2 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (843), (1190) are inconsistent by sub-proof % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #190. % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1191) all_10_19 = e2 | all_10_24 = e2 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (936) gives: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1192) all_6_24 = e3 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (1192) imply: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1193) all_4_24 = e3 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (1193) imply: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1194) all_10_24 = e3 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (600), (653), (1191), (1194) are % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #189. % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1195) all_6_24 = e0 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (1195) imply: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1196) all_4_24 = e0 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (846), (1196) imply: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1197) $false % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1197) is inconsistent. % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1198) ~ (all_6_11 = e1) % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (1198) imply: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1199) ~ (all_4_7 = e1) % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (940) gives: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1200) all_10_7 = e1 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (1200) imply: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1201) all_4_7 = e1 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1199), (1201) imply: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1202) $false % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1202) is inconsistent. % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1203) all_10_13 = e1 | all_10_21 = e1 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1203) gives: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1204) all_10_13 = e1 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (968), (1204) imply: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1205) e4 = e1 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1205) implies: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1206) e4 = e1 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (1206) imply: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1207) $false % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1207) is inconsistent. % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1208) all_10_21 = e1 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (907), (1208) imply: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1209) e1 = e0 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (609), (1209) imply: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1210) $false % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1210) is inconsistent. % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1211) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (85), (486), (496), (534), (656), (854), (860), % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (954), (1211) are inconsistent by sub-proof #235. % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212) all_6_1 = e3 | all_6_1 = e0 % 69.59/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (886), (910), (1212) are inconsistent by % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #187. % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1213) all_10_22 = e0 | all_10_23 = e0 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1213) gives: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1214) all_10_22 = e0 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (876), (1214) are inconsistent by sub-proof % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #253. % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1215) all_10_23 = e0 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (1215) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1216) all_4_19 = e0 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1216) implies: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1217) all_4_19 = e0 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (1217) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1218) $false % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1218) is inconsistent. % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (1219) all_8_67 = e0 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (1219) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (1220) all_4_14 = e0 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1220) implies: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (1221) all_4_14 = e0 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (876), (1221) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (1222) $false % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1222) is inconsistent. % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | (1223) all_6_6 = e0 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (854), (1223) are inconsistent by sub-proof % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | #237. % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | (1224) all_10_10 = e0 | all_10_17 = e0 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (865) gives: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | (1225) all_6_6 = e3 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (1225) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | (1226) all_4_6 = e3 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1226) implies: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | (1227) all_4_6 = e3 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (81), (1227) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | (1228) ~ (all_4_21 = e3) % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1228) implies: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | (1229) ~ (all_4_21 = e3) % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (1230) all_6_9 = e1 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (1230) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (1231) all_4_21 = e1 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (605), (1231) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (1232) $false % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1232) is inconsistent. % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | (1233) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_9 = e0 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1233) gives: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1234) all_6_9 = e4 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (1234) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1235) all_4_21 = e4 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (1235) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1236) $false % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1236) is inconsistent. % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1237) all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e0 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1237) gives: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1238) all_6_9 = e2 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (1238) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1239) all_4_21 = e2 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (1239) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1240) all_10_17 = e2 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1224) gives: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1241) all_10_10 = e0 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (394), (545), (1241) are inconsistent by sub-proof % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #186. % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1242) all_10_17 = e0 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1240), (1242) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) e2 = e0 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (654), (1243) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) $false % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1244) is inconsistent. % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) all_6_9 = e3 | all_6_9 = e0 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (844), (1229), (1245) are inconsistent by % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #184. % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | (1246) all_6_6 = e0 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (854), (1246) are inconsistent by sub-proof % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | #237. % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | End of split % 69.59/10.93 | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.93 | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | (1247) all_8_54 = e0 % 69.59/10.93 | | | | | | | | | | | | | | | | | | (1248) all_8_53 = e3 % 69.59/10.93 | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (1248) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | (1249) all_4_21 = e3 % 69.59/10.93 | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | SIMP: (1249) implies: % 69.59/10.93 | | | | | | | | | | | | | | | | | | (1250) all_4_21 = e3 % 69.59/10.93 | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (426), (1247) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | (1251) all_4_6 = e0 % 69.59/10.93 | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (1250) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | (1252) all_10_17 = e3 % 69.59/10.93 | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (1251) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | (1253) all_10_3 = e0 % 69.59/10.93 | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | REDUCE: (93), (1251) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | (1254) ~ (all_4_5 = e0) % 69.59/10.93 | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | REDUCE: (86), (1251) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | (1255) ~ (all_4_7 = e0) % 69.59/10.93 | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | SIMP: (1255) implies: % 69.59/10.93 | | | | | | | | | | | | | | | | | | (1256) ~ (all_4_7 = e0) % 69.59/10.93 | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | REDUCE: (85), (1251) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | (1257) ~ (all_4_8 = e0) % 69.59/10.93 | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | REDUCE: (83), (1251) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | (1258) ~ (all_4_11 = e0) % 69.59/10.93 | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | SIMP: (1258) implies: % 69.59/10.93 | | | | | | | | | | | | | | | | | | (1259) ~ (all_4_11 = e0) % 69.59/10.93 | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | REDUCE: (82), (1251) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | (1260) ~ (all_4_16 = e0) % 69.59/10.93 | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | REDUCE: (656), (1251) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | (1261) ~ (e2 = e0) % 69.59/10.93 | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | REDUCE: (60), (1250) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | (1262) ~ (all_4_11 = e3) % 69.59/10.93 | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | REDUCE: (42), (1250) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | (1263) ~ (all_4_16 = e3) % 69.59/10.93 | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | REDUCE: (568), (1251) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | (1264) op(e0, e3) = all_8_11 % 69.59/10.93 | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives: % 69.59/10.93 | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | (1265) all_6_7 = e1 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (536), (1265) are inconsistent by sub-proof % 69.59/10.93 | | | | | | | | | | | | | | | | | | | #183. % 69.59/10.93 | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | (1266) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | all_6_7 = e0 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | BETA: splitting (1266) gives: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | (1267) all_6_7 = e4 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (1267) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | (1268) all_4_11 = e4 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | SIMP: (1268) implies: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | (1269) all_4_11 = e4 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (1269) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | (1270) ~ (all_4_1 = e4) % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (1269) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | (1271) ~ (all_4_13 = e4) % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | SIMP: (1271) implies: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | (1272) ~ (all_4_13 = e4) % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (1269) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | (1273) ~ (all_4_16 = e4) % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | SIMP: (1273) implies: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | (1274) ~ (all_4_16 = e4) % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (1269) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | (1275) op(e4, e3) = all_8_12 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (1269) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | (1276) op(e4, e2) = all_8_13 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (1269) imply: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | (1277) op(e3, e2) = e4 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | (1278) all_6_17 = e1 % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (603), (1278) are inconsistent by sub-proof % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | #182. % 69.59/10.93 | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | (1279) ~ (all_6_17 = e1) % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | (1280) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | all_6_17 = e0 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | (1281) all_10_16 = e2 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (807), (1281) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | (1282) e4 = e2 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (651), (1282) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | (1283) $false % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1283) is inconsistent. % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | (1284) all_10_17 = e2 | all_10_18 = e2 | all_10_19 = e2 | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e2 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1284) gives: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | (1285) all_10_17 = e2 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1252), (1285) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | (1286) e3 = e2 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (1286) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | (1287) $false % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1287) is inconsistent. % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | (1288) all_10_18 = e2 | all_10_19 = e2 | all_10_24 = e2 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1288) gives: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | (1289) all_10_18 = e2 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (843), (1289) are inconsistent by sub-proof % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | #190. % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | (1290) all_10_19 = e2 | all_10_24 = e2 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1290) gives: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | (1291) all_10_19 = e2 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (1291) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | (1292) e2 = e1 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (653), (1292) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | (1293) $false % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1293) is inconsistent. % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | (1294) all_10_24 = e2 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (1294) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | (1295) all_4_24 = e2 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1295) implies: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | (1296) all_4_24 = e2 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (1296) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | (1297) all_8_69 = e2 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (1296) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | (1298) ~ (all_4_4 = e2) % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (1296) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | (1299) ~ (all_4_9 = e2) % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (594), (1296) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | (1300) op(e2, e0) = all_8_44 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (266) gives: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1301) ~ (all_8_69 = e2) % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1297), (1301) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) $false % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1302) is inconsistent. % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1303) all_8_67 = e0 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (1303) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1304) all_4_14 = e0 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1304) implies: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1305) all_4_14 = e0 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (1305) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1306) all_10_22 = e0 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (1305) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | (1307) ~ (all_4_9 = e0) % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1280) gives: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1308) all_6_17 = e4 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (1308) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309) all_4_13 = e4 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1272), (1309) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1310) $false % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1310) is inconsistent. % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1311) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1311) gives: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1312) all_6_17 = e2 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (1312) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1313) all_4_13 = e2 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (643), (1313) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1314) $false % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1314) is inconsistent. % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1315) all_6_17 = e3 | all_6_17 = e0 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1315) gives: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1316) all_6_17 = e3 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (1316) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1317) all_4_13 = e3 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (1317) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1318) all_8_4 = e3 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (1317) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1319) all_10_14 = e3 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (1317) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320) ~ (all_4_8 = e3) % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (1317) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1321) op(e3, e2) = all_8_32 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (1317) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322) op(e3, e1) = all_8_31 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9, % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_11, e3, e0, simplifying with (127), (1264) % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1323) all_8_11 = all_4_9 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_44, % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (849), (1300) gives: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1324) all_8_44 = e0 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_16, % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_31, e1, e3, simplifying with (140), (1322) % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1325) all_8_31 = all_4_16 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_32, % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (1277), (1321) gives: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1326) all_8_32 = e4 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_13, % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (23), (1276) gives: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1327) all_8_13 = e1 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_5, % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12, e3, e4, simplifying with (147), (1275) % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1328) all_8_12 = all_4_5 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1329) all_6_13 = e1 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (1329) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1330) all_4_17 = e1 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1330) implies: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1331) all_4_17 = e1 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (77), (1331) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1332) ~ (all_4_7 = e1) % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1331) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1333) ~ (all_4_16 = e1) % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1334) all_6_11 = e1 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (1334) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1335) all_4_7 = e1 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1332), (1335) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1336) $false % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1336) is inconsistent. % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1337) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_11 = e0 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1338) all_6_8 = e1 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (1333), (1338) are inconsistent by % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #181. % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1339) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_8 = e0 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1337) gives: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1340) all_6_11 = e4 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (1340) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1341) all_4_7 = e4 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (1341) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1342) ~ (all_4_8 = e4) % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1342) implies: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1343) ~ (all_4_8 = e4) % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1339) gives: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1344) all_6_8 = e4 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (1344) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1345) all_4_16 = e4 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1274), (1345) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1346) $false % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1346) is inconsistent. % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348) all_6_16 = e1 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (602), (1348) are inconsistent by sub-proof % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #242. % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1347) gives: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1350) all_6_8 = e2 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (1350) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1351) all_4_16 = e2 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1351) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352) ~ (all_4_1 = e2) % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1353) all_6_5 = e1 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (480), (1353) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354) all_4_1 = e1 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (1354) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1355) all_10_2 = e1 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1352), (1354) imply: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1356) ~ (e2 = e1) % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (339) gives: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1357) all_10_0 = e2 % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (808), (1357) are inconsistent by sub-proof % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #180. % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1358) all_10_2 = e2 | all_10_6 = e2 | all_10_12 = e2 | % 69.59/10.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e2 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1358) gives: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359) all_10_2 = e2 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1355), (1359) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1360) e2 = e1 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (653), (1360) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361) $false % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1361) is inconsistent. % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1362) all_10_6 = e2 | all_10_12 = e2 | all_10_20 = e2 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1362) gives: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1363) all_10_6 = e2 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (388), (1363) are inconsistent by sub-proof % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #179. % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1364) all_10_12 = e2 | all_10_20 = e2 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1364) gives: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1365) all_10_12 = e2 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (1365) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1366) all_4_3 = e2 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (101), (496), (534), (1320), (1343), (1349), % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1366) are inconsistent by sub-proof #173. % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1367) all_10_20 = e2 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (357), (1298), (1367) are inconsistent by % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #172. % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1368) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_5 = e0 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (480), (519), (810), (1270), (1352), (1368) are % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #171. % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1369) all_6_8 = e3 | all_6_8 = e0 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (545), (1263), (1369) are inconsistent by % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #200. % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e0 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (525), (640), (1256), (1370) are % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #169. % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1371) ~ (all_6_13 = e1) % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_13 = e0 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (1371) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1373) ~ (all_4_17 = e1) % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1374) all_10_6 = e1 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (388), (1374) are inconsistent by sub-proof % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #245. % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1375) all_10_7 = e1 | all_10_8 = e1 | all_10_11 = e1 | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e1 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1375) gives: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1376) all_10_7 = e1 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (1376) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1377) all_4_7 = e1 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (1377) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1378) ~ (all_4_8 = e1) % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (1377) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1379) ~ (all_4_9 = e1) % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1379) implies: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1380) ~ (all_4_9 = e1) % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (571), (1377) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1381) op(e1, e3) = all_8_21 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (1377) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1382) op(e2, e3) = e1 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1372) gives: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1383) all_6_13 = e4 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (1383) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1384) all_4_17 = e4 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (1384) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1385) all_10_11 = e4 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (1384) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1386) ~ (all_4_19 = e4) % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1386) implies: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1387) ~ (all_4_19 = e4) % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (573), (1384) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1388) op(e4, e2) = all_8_23 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (1384) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1389) op(e4, e1) = all_8_24 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (1384) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1390) op(e2, e1) = e4 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_8, % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_21, e3, e1, simplifying with (132), (1381) % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1391) all_8_21 = all_4_8 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_15, % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_24, e1, e4, simplifying with (145), (1389) % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1392) all_8_24 = all_4_15 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_23, % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (23), (1388) gives: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1393) all_8_23 = e1 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1394) all_6_1 = e1 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (533), (1394) are inconsistent by sub-proof % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #223. % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1395) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_1 = e0 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396) all_6_8 = e1 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (1396) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1397) all_4_16 = e1 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1397) implies: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1398) all_4_16 = e1 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1398) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1399) ~ (all_4_1 = e1) % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1274), (1398) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1400) ~ (e4 = e1) % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1398) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1401) op(e3, e1) = e1 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1402) all_6_5 = e1 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (480), (1402) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1403) all_4_1 = e1 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1399), (1403) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1404) $false % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1404) is inconsistent. % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1405) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_5 = e0 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1405) gives: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1406) all_6_5 = e4 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (480), (1406) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1407) all_4_1 = e4 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1270), (1407) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1408) $false % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1408) is inconsistent. % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1409) ~ (all_6_5 = e4) % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1410) all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1411) all_10_20 = e1 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (1411) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412) all_4_4 = e1 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (1412) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413) ~ (all_4_19 = e1) % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1413) implies: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1414) ~ (all_4_19 = e1) % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (523), (1412) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1415) ~ (e3 = e1) % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (1412) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1416) op(e1, e4) = all_8_37 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1417) all_10_2 = e2 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (1417) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1418) all_4_1 = e2 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1418) implies: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1419) all_4_1 = e2 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (1419) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1420) ~ (all_4_3 = e2) % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1420) implies: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1421) ~ (all_4_3 = e2) % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (1419) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1422) op(e2, e3) = all_8_9 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (1419) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1423) op(e3, e4) = e2 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1424) all_10_0 = e4 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (808), (1424) are inconsistent by sub-proof % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #168. % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1425) all_10_2 = e4 | all_10_6 = e4 | all_10_12 = e4 | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e4 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1425) gives: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426) all_10_2 = e4 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1417), (1426) imply: % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1427) e4 = e2 % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.95 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (651), (1427) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1428) $false % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1428) is inconsistent. % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1429) all_10_6 = e4 | all_10_12 = e4 | all_10_20 = e4 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430) all_10_12 = e2 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (1430) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1431) all_4_3 = e2 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1431) implies: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1432) all_4_3 = e2 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1421), (1432) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1433) $false % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1433) is inconsistent. % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1434) all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e2 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1429) gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435) all_10_6 = e4 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (1435) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1436) e4 = e3 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (1436) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1437) $false % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1437) is inconsistent. % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1438) all_10_12 = e4 | all_10_20 = e4 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1438) gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1439) all_10_12 = e4 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (1439) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1440) all_4_3 = e4 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1440) implies: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1441) all_4_3 = e4 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (1441) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442) ~ (all_4_8 = e4) % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1442) implies: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1443) ~ (all_4_8 = e4) % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (1441) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1444) op(e4, e4) = all_8_28 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (1441) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445) op(e1, e4) = e4 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1446) all_10_20 = e4 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (1411), (1446) are inconsistent by sub-proof % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #167. % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e4 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1434) gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) all_10_13 = e2 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (1448) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) all_4_8 = e2 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1449) implies: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) all_4_8 = e2 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (1450) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) ~ (all_4_5 = e2) % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (1450) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) op(e2, e3) = all_8_30 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1447) gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) all_10_21 = e4 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (1453) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) all_4_9 = e4 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (1454) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) op(e4, e3) = all_8_39 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (1454) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) op(e0, e3) = e4 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) all_10_20 = e3 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (1411), (1457) are inconsistent by sub-proof % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #166. % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) all_10_21 = e3 | all_10_22 = e3 | all_10_23 = e3 | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e3 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1395) gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) all_6_1 = e4 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (815), (1459) are inconsistent by sub-proof % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #221. % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1460) ~ (all_6_1 = e4) % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1461) gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) all_6_1 = e2 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (1462) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463) all_4_5 = e2 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1463) implies: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1464) all_4_5 = e2 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1451), (1464) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1465) $false % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1465) is inconsistent. % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1466) ~ (all_6_1 = e2) % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467) all_6_1 = e3 | all_6_1 = e0 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1467) gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1468) all_6_1 = e3 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (1468) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1469) all_4_5 = e3 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1469) implies: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1470) all_4_5 = e3 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (815), (1470) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1471) ~ (e4 = e3) % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (551), (1470) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1472) op(e3, e4) = all_8_1 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (1470) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473) op(e4, e3) = e3 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1458) gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1474) all_10_21 = e3 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1453), (1474) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) e4 = e3 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (1475) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476) $false % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1476) is inconsistent. % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1477) all_10_22 = e3 | all_10_23 = e3 | all_10_24 = e3 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1477) gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1478) all_10_22 = e3 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1306), (1478) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1479) e3 = e0 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1479) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1480) $false % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1480) is inconsistent. % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1481) all_10_23 = e3 | all_10_24 = e3 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1481) gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1482) all_10_23 = e3 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (1482) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483) all_4_19 = e3 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1483) implies: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1484) all_4_19 = e3 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (1484) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1485) op(e3, e1) = all_8_43 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (125), (1484) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1486) op(e0, e1) = e3 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_37, % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e1, simplifying with (1416), (1445) gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1487) all_8_37 = e4 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_9, % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (1382), (1422) gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1488) all_8_9 = e1 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_30, % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_9, e3, e2, simplifying with (1422), (1452) % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1489) all_8_9 = all_8_30 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_43, % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (1401), (1485) gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1490) all_8_43 = e1 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_1, % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (1423), (1472) gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1491) all_8_1 = e2 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_39, % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (1455), (1473) gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1492) all_8_39 = e3 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_28, % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (823), (1444) gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1493) all_8_28 = e0 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1488), (1489) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1494) all_8_30 = e1 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1495) unit = e1 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1495) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1496) op(e3, e1) = e3 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (1495) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1497) op(e0, e1) = e0 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, e0, e1, % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (1486), (1497) gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1498) e3 = e0 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e3, e1, % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1401), (1496) gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1499) e3 = e1 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1498), (1499) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500) e1 = e0 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1500) implies: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1501) e1 = e0 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (609), (1501) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1502) $false % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1502) is inconsistent. % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1503) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1503) gives: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1504) unit = e4 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1504) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1505) op(e4, e4) = e4 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (1504) imply: % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1506) op(e1, e4) = e1 % 69.59/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (609), (823), (1445), (1505), (1506), % 69.81/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof % 69.81/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #165. % 69.81/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1507) unit = e3 | unit = e2 | unit = e0 % 69.81/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1507) gives: % 69.81/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1508) unit = e2 % 69.81/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1508) imply: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1509) op(e4, e2) = e4 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (1508) imply: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1510) op(e3, e2) = e3 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (23), (1277), (1509), (1510), % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #164. % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1511) ~ (unit = e2) % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1512) unit = e3 | unit = e0 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1512) gives: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1513) unit = e3 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1513) imply: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1514) op(e3, e4) = e4 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (1513) imply: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1515) op(e4, e3) = e4 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1513) imply: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1516) op(e2, e3) = e2 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (1513) imply: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1517) op(e0, e3) = e0 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (609), (1382), (1423), (1456), (1473), (1514), % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1515), (1516), (1517), (function-axioms) are % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #163. % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1518) unit = e0 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (1518) imply: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1519) op(e2, e0) = e2 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e2, e0, % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (849), (1519) gives: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1520) e2 = e0 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (654), (1520) imply: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1521) $false % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1521) is inconsistent. % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1522) all_10_24 = e3 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (600), (653), (1290), (1522) are % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #189. % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1523) all_6_1 = e0 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (1254), (1523) are inconsistent by % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #188. % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1524) all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1524) gives: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1525) all_10_22 = e4 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1306), (1525) imply: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1526) e4 = e0 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (1526) imply: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1527) $false % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1527) is inconsistent. % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1528) all_10_23 = e4 | all_10_24 = e4 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1528) gives: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1529) all_10_23 = e4 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (515), (1387), (1529) are inconsistent by % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #162. % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1530) all_10_24 = e4 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1294), (1530) imply: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1531) e4 = e2 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (651), (1531) imply: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1532) $false % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1532) is inconsistent. % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1533) all_10_14 = e2 | all_10_15 = e2 | all_10_19 = e2 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (363), (600), (653), (654), (1319), (1533) % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #192. % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1534) all_10_20 = e4 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (1411), (1534) are inconsistent by sub-proof % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #167. % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1535) ~ (all_10_2 = e2) % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (403), (480), (519), (810), (1410), (1535) are % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #161. % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1536) ~ (all_10_20 = e1) % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (1536) imply: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1537) ~ (all_4_4 = e1) % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1538) all_10_2 = e2 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (1538) imply: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1539) all_4_1 = e2 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1539) implies: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1540) all_4_1 = e2 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (1540) imply: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1541) ~ (all_4_3 = e2) % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1541) implies: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1542) ~ (all_4_3 = e2) % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1540) imply: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1543) ~ (all_4_4 = e2) % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1544) all_6_20 = e1 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (1537), (1544) are inconsistent by % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #160. % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1545) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_20 = e0 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1546) all_6_15 = e1 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (1546) imply: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1547) all_4_3 = e1 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (601), (1547) imply: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1548) $false % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1548) is inconsistent. % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1549) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_15 = e0 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (102), (494), (502), (521), (523), (532), (813), % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298), (1542), (1545), (1549) are inconsistent by % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #158. % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1550) ~ (all_10_2 = e2) % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (403), (480), (519), (810), (1410), (1550) are % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #161. % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1551) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_8 = e0 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1551) gives: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1552) all_6_8 = e4 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (1274), (1552) are inconsistent by % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #201. % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1553) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1553) gives: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1554) all_6_8 = e2 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (1554) imply: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1555) all_4_16 = e2 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1555) implies: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1556) all_4_16 = e2 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (1556) imply: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1557) all_10_10 = e2 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1556) imply: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1558) ~ (all_4_1 = e2) % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (1556) imply: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1559) ~ (all_4_15 = e2) % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (1556) imply: % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1560) op(e2, e3) = all_8_14 % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (1556) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1561) op(e2, e1) = all_8_15 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1556) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1562) op(e3, e1) = e2 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1563) all_6_3 = e1 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (542), (1563) are inconsistent by sub-proof % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #219. % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1564) ~ (all_6_3 = e1) % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1565) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e0 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1565) gives: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1566) all_6_3 = e4 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (816), (1566) are inconsistent by sub-proof % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #218. % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1568) all_10_2 = e1 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (1568) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1569) all_4_1 = e1 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1569) implies: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1570) all_4_1 = e1 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (622), (1570) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1571) all_8_19 = e1 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (1570) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1572) ~ (all_4_3 = e1) % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1570) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1573) ~ (all_4_4 = e1) % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1573) implies: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1574) ~ (all_4_4 = e1) % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1558), (1570) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1575) ~ (e2 = e1) % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (1570) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1576) op(e1, e4) = all_8_10 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1577) all_6_20 = e1 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (1574), (1577) are inconsistent by % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #160. % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1578) ~ (all_6_20 = e1) % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1579) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_20 = e0 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (315) gives: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1580) all_10_9 = e1 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (1580) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1581) all_4_15 = e1 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (542), (1581) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1582) $false % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1582) is inconsistent. % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1583) all_10_10 = e1 | all_10_11 = e1 | all_10_15 = e1 | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e1 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1579) gives: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1584) all_6_20 = e4 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (1584) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1585) all_4_4 = e4 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1585) implies: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1586) all_4_4 = e4 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (1586) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1587) all_8_65 = e4 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (1586) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1588) ~ (all_4_9 = e4) % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1588) implies: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1589) ~ (all_4_9 = e4) % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1590) all_6_15 = e1 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (1590) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1591) all_4_3 = e1 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (601), (1591) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1592) $false % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1592) is inconsistent. % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1593) ~ (all_6_15 = e1) % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1594) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_15 = e0 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1595) all_6_21 = e1 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (1595) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1596) all_4_9 = e1 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1380), (1596) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1597) $false % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1597) is inconsistent. % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1598) ~ (all_6_21 = e1) % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1599) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_21 = e0 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1567) gives: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1600) all_6_3 = e2 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (1559), (1600) are inconsistent by % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #157. % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1601) all_6_3 = e3 | all_6_3 = e0 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1583) gives: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1602) all_10_10 = e1 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (653), (1557), (1602) are inconsistent by % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #156. % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1603) ~ (all_10_10 = e1) % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604) all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1605) all_10_1 = e4 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (1605) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1606) all_4_5 = e4 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (815), (1606) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1607) $false % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1607) is inconsistent. % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608) all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e4 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1608) gives: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1609) all_10_3 = e4 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (1253), (1609) are inconsistent by sub-proof % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #155. % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1610) all_10_7 = e4 | all_10_13 = e4 | all_10_21 = e4 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1611) all_10_0 = e2 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (808), (1611) are inconsistent by sub-proof % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #180. % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1612) ~ (all_10_0 = e2) % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1613) all_10_1 = e2 | all_10_4 = e2 | all_10_9 = e2 | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e2 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1613) gives: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1614) all_10_1 = e2 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (1614) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1615) all_4_5 = e2 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (1615) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1616) ~ (all_4_9 = e2) % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (551), (1615) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1617) op(e2, e4) = all_8_1 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (1615) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1618) op(e2, e3) = all_8_2 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (1615) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1619) op(e4, e3) = e2 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1620) all_6_16 = e1 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (602), (1620) are inconsistent by sub-proof % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #242. % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1621) ~ (all_6_16 = e1) % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1622) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623) all_10_12 = e2 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (1623) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624) all_4_3 = e2 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1624) implies: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1625) all_4_3 = e2 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (1625) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1626) ~ (all_4_8 = e2) % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1626) implies: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1627) ~ (all_4_8 = e2) % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (1625) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1628) op(e2, e4) = all_8_28 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (1625) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1629) op(e1, e4) = e2 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1601) gives: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1630) all_6_3 = e3 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (1630) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1631) all_4_15 = e3 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1392), (1631) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1632) all_8_24 = e3 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (556), (1631) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1633) op(e3, e1) = all_8_6 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1599) gives: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1634) all_6_21 = e4 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (1634) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1635) all_4_9 = e4 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1589), (1635) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1636) $false % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1636) is inconsistent. % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637) all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1622) gives: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1638) all_6_16 = e4 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (1638) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1639) all_4_8 = e4 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1639) implies: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1640) all_4_8 = e4 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1391), (1640) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641) all_8_21 = e4 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (1640) imply: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1642) op(e4, e3) = all_8_30 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1637) gives: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) all_6_21 = e2 % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (1299), (1643) are inconsistent by % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #154. % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) ~ (all_6_21 = e2) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) all_6_21 = e3 | all_6_21 = e0 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1645) gives: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) all_6_21 = e3 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (1646) imply: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) all_4_9 = e3 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1647) implies: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) all_4_9 = e3 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (1648) imply: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) all_8_66 = e3 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1589), (1648) imply: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) ~ (e4 = e3) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1604) gives: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) all_10_11 = e1 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (1385), (1651) are inconsistent by sub-proof % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #153. % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) ~ (all_10_11 = e1) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) all_10_15 = e1 | all_10_23 = e1 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1653) gives: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) all_10_15 = e1 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (363), (1654) imply: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) e1 = e0 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (609), (1655) imply: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) $false % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1656) is inconsistent. % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1657) all_10_23 = e1 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (1657) imply: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1658) all_4_19 = e1 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1658) implies: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1659) all_4_19 = e1 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (346), (1659) imply: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1660) all_8_68 = e1 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_10, % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e1, simplifying with (1576), (1629) gives: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1661) all_8_10 = e2 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_15, % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (1390), (1561) gives: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1662) all_8_15 = e4 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_2, % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (1382), (1618) gives: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1663) all_8_2 = e1 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_14, % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_2, e3, e2, simplifying with (1560), (1618) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664) all_8_2 = all_8_14 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_1, % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (22), (1617) gives: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1665) all_8_1 = e3 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_28, % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, e4, e2, simplifying with (1617), (1628) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666) all_8_1 = all_8_28 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_6, % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (1562), (1633) gives: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) all_8_6 = e2 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_30, % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (1619), (1642) gives: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) all_8_30 = e2 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1665), (1666) imply: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) all_8_28 = e3 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1669) implies: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) all_8_28 = e3 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1663), (1664) imply: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) all_8_14 = e1 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) | (all_8_13 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1672) gives: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1673) gives: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1674) gives: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (1663), (1675) are inconsistent by sub-proof % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #216. % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (1318), (1676) are inconsistent by sub-proof % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #152. % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_8 = e4 & ~ (all_8_7 = e0) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_48 = all_8_65)) | (all_8_10 = e3 & % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1677) gives: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (651), (1667), (1678) are inconsistent by % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #151. % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1679) gives: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1680) implies: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) ~ (all_8_48 = all_8_65) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (804), (1587), (1681) imply: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) $false % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1682) is inconsistent. % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (1661), (1683) are inconsistent by sub-proof % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #150. % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (20), (651), (653), (1248), (1327), (1571), % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641), (1649), (1662), (1684) are inconsistent by % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #145. % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) | (all_8_35 = e1 & ~ (all_8_34 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_63 = all_8_68)) | (all_8_37 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_39 = e0 & ~ (all_8_38 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_53 = all_8_66)) | (all_8_41 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1685) gives: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1686) gives: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1687) gives: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (1632), (1688) are inconsistent by sub-proof % 69.81/10.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #209. % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) all_8_26 = e2 & ~ (all_8_25 = e0) & ~ (all_8_58 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67) % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1689) implies: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) ~ (all_8_58 = all_8_67) % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (1303), (1690) imply: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) $false % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1691) is inconsistent. % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (19), (653), (1326), (1668), (1670), (1692) % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #142. % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) | (all_8_39 = % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1693) gives: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (597), (804), (1587), (1660), (1694) are % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #141. % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1695) gives: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1696) implies: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) ~ (all_8_53 = all_8_66) % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1248), (1649), (1697) imply: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) $false % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1698) is inconsistent. % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1699) gives: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67) % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1700) implies: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) ~ (all_8_58 = all_8_67) % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (1303), (1701) imply: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) $false % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1702) is inconsistent. % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68) % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1703) implies: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) ~ (all_8_63 = all_8_68) % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (597), (1660), (1704) imply: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) $false % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1705) is inconsistent. % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) all_6_21 = e0 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (1307), (1706) are inconsistent by % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #140. % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1707) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (534), (1320), (1627), (1707) are % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #175. % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708) all_6_3 = e0 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (1708) imply: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) all_4_15 = e0 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (1709) imply: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) $false % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1710) is inconsistent. % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1711) ~ (all_10_12 = e2) % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (1711) imply: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1712) ~ (all_4_3 = e2) % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (102), (494), (502), (521), (523), (532), (813), % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298), (1579), (1594), (1712) are inconsistent by % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #158. % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1713) ~ (all_10_1 = e2) % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (416), (1713) imply: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714) ~ (all_4_5 = e2) % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1610) gives: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1715) all_10_7 = e4 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (1376), (1715) are inconsistent by sub-proof % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #139. % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1716) all_10_13 = e4 | all_10_21 = e4 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) all_10_1 = e2 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (1717) imply: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) all_4_5 = e2 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1714), (1718) imply: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) $false % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1719) is inconsistent. % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) all_10_3 = e2 | all_10_7 = e2 | all_10_13 = e2 | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e2 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1720) gives: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) all_10_3 = e2 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (654), (1253), (1721) are inconsistent by % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #138. % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) all_10_7 = e2 | all_10_13 = e2 | all_10_21 = e2 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1722) gives: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) all_10_7 = e2 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (653), (1376), (1723) are inconsistent by % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #241. % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) all_10_13 = e2 | all_10_21 = e2 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1716) gives: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) all_10_13 = e4 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (354), (651), (1299), (1724), (1725) are % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #239. % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) all_10_21 = e4 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (1726) imply: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) all_4_9 = e4 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1589), (1727) imply: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) $false % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1728) is inconsistent. % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e0 % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (523), (813), (1298), (1729) are % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #262. % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) ~ (all_10_2 = e1) % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (1730) imply: % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) ~ (all_4_1 = e1) % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (190), (480), (519), (810), (1270), (1558), (1731) % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #137. % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) all_6_8 = e3 | all_6_8 = e0 % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (545), (1263), (1732) are inconsistent by % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #200. % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0 % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (529), (546), (647), (1733) are % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #231. % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) all_10_8 = e1 | all_10_11 = e1 | all_10_18 = e1 % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (375), (378), (606), (639), (653), (1373), (1734) % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #233. % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) all_6_17 = e0 % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (1735) imply: % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) all_4_13 = e0 % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (543), (1736) imply: % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) $false % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1737) is inconsistent. % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | (1738) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0 % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (641), (1259), (1262), (1738) are % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #135. % 69.81/11.01 | | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | Case 2: % 69.81/11.01 | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | (1739) all_8_69 = e4 % 69.81/11.01 | | | | | | | | | | | | (1740) all_8_65 = e0 % 69.81/11.01 | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | COMBINE_EQS: (460), (1740) imply: % 69.81/11.01 | | | | | | | | | | | | (1741) all_4_4 = e0 % 69.81/11.01 | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | SIMP: (1741) implies: % 69.81/11.01 | | | | | | | | | | | | (1742) all_4_4 = e0 % 69.81/11.01 | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | COMBINE_EQS: (343), (1739) imply: % 69.81/11.01 | | | | | | | | | | | | (1743) all_4_24 = e4 % 69.81/11.01 | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | SIMP: (1743) implies: % 69.81/11.01 | | | | | | | | | | | | (1744) all_4_24 = e4 % 69.81/11.01 | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | REDUCE: (120), (1742) imply: % 69.81/11.01 | | | | | | | | | | | | (1745) ~ (all_4_0 = e0) % 69.81/11.01 | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | REDUCE: (96), (1742) imply: % 69.81/11.01 | | | | | | | | | | | | (1746) ~ (all_4_14 = e0) % 69.81/11.01 | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | SIMP: (1746) implies: % 69.81/11.01 | | | | | | | | | | | | (1747) ~ (all_4_14 = e0) % 69.81/11.01 | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | REDUCE: (51), (1744) imply: % 69.81/11.01 | | | | | | | | | | | | (1748) ~ (all_4_14 = e4) % 69.81/11.01 | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | REF_CLOSE: (74), (83), (85), (101), (121), (180), (181), % 69.81/11.01 | | | | | | | | | | | | (189), (194), (323), (326), (366), (397), (413), % 69.81/11.01 | | | | | | | | | | | | (479), (486), (494), (496), (516), (517), (518), % 69.81/11.01 | | | | | | | | | | | | (521), (532), (534), (543), (601), (602), (609), % 69.81/11.01 | | | | | | | | | | | | (612), (614), (624), (639), (654), (656), (1745), % 69.81/11.01 | | | | | | | | | | | | (1747), (1748) are inconsistent by sub-proof #134. % 69.81/11.01 | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | End of split % 69.81/11.01 | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | Case 2: % 69.81/11.01 | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | (1749) all_8_54 = e2 % 69.81/11.01 | | | | | | | | | | | (1750) all_8_51 = e3 % 69.81/11.01 | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | COMBINE_EQS: (431), (1750) imply: % 69.81/11.01 | | | | | | | | | | | (1751) all_4_11 = e3 % 69.81/11.01 | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | SIMP: (1751) implies: % 69.81/11.01 | | | | | | | | | | | (1752) all_4_11 = e3 % 69.81/11.01 | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | COMBINE_EQS: (426), (1749) imply: % 69.81/11.01 | | | | | | | | | | | (1753) all_4_6 = e2 % 69.81/11.01 | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | COMBINE_EQS: (397), (1752) imply: % 69.81/11.01 | | | | | | | | | | | (1754) all_10_5 = e3 % 69.81/11.01 | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | REDUCE: (86), (1753) imply: % 69.81/11.01 | | | | | | | | | | | (1755) ~ (all_4_7 = e2) % 69.81/11.01 | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | REDUCE: (85), (1753) imply: % 69.81/11.01 | | | | | | | | | | | (1756) ~ (all_4_8 = e2) % 69.81/11.01 | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | SIMP: (1756) implies: % 69.81/11.01 | | | | | | | | | | | (1757) ~ (all_4_8 = e2) % 69.81/11.01 | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | REDUCE: (82), (1753) imply: % 69.81/11.01 | | | | | | | | | | | (1758) ~ (all_4_16 = e2) % 69.81/11.01 | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | SIMP: (1758) implies: % 69.81/11.01 | | | | | | | | | | | (1759) ~ (all_4_16 = e2) % 69.81/11.01 | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | REDUCE: (63), (1752) imply: % 69.81/11.01 | | | | | | | | | | | (1760) ~ (all_4_13 = e3) % 69.81/11.01 | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | SIMP: (1760) implies: % 69.81/11.01 | | | | | | | | | | | (1761) ~ (all_4_13 = e3) % 69.81/11.01 | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | REDUCE: (61), (1752) imply: % 69.81/11.01 | | | | | | | | | | | (1762) ~ (all_4_16 = e3) % 69.81/11.01 | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | SIMP: (1762) implies: % 69.81/11.01 | | | | | | | | | | | (1763) ~ (all_4_16 = e3) % 69.81/11.01 | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | REDUCE: (60), (1752) imply: % 69.81/11.01 | | | | | | | | | | | (1764) ~ (all_4_21 = e3) % 69.81/11.01 | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | SIMP: (1764) implies: % 69.81/11.01 | | | | | | | | | | | (1765) ~ (all_4_21 = e3) % 69.81/11.01 | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | REDUCE: (562), (1752) imply: % 69.81/11.01 | | | | | | | | | | | (1766) op(e3, e3) = all_8_12 % 69.81/11.01 | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | REDUCE: (142), (1753) imply: % 69.81/11.01 | | | | | | | | | | | (1767) op(e3, e3) = e2 % 69.81/11.01 | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | BETA: splitting (323) gives: % 69.81/11.01 | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | Case 1: % 69.81/11.01 | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | (1768) all_10_4 = e0 % 69.81/11.01 | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | REF_CLOSE: (413), (609), (1768) are inconsistent by sub-proof % 69.81/11.01 | | | | | | | | | | | | #264. % 69.81/11.01 | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | Case 2: % 69.81/11.01 | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | (1769) all_10_5 = e0 | all_10_8 = e0 | all_10_14 = e0 | % 69.81/11.01 | | | | | | | | | | | | all_10_22 = e0 % 69.81/11.01 | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | BETA: splitting (1769) gives: % 69.81/11.01 | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | Case 1: % 69.81/11.01 | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | (1770) all_10_5 = e0 % 69.81/11.01 | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | COMBINE_EQS: (1754), (1770) imply: % 69.81/11.01 | | | | | | | | | | | | | (1771) e3 = e0 % 69.81/11.01 | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | SIMP: (1771) implies: % 69.81/11.01 | | | | | | | | | | | | | (1772) e3 = e0 % 69.81/11.01 | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | REDUCE: (15), (1772) imply: % 69.81/11.01 | | | | | | | | | | | | | (1773) $false % 69.81/11.01 | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | CLOSE: (1773) is inconsistent. % 69.81/11.01 | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | Case 2: % 69.81/11.01 | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | (1774) all_10_8 = e0 | all_10_14 = e0 | all_10_22 = e0 % 69.81/11.01 | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | BETA: splitting (1774) gives: % 69.81/11.01 | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | Case 1: % 69.81/11.01 | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | (1775) all_10_8 = e0 % 69.81/11.01 | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | COMBINE_EQS: (639), (1775) imply: % 69.81/11.01 | | | | | | | | | | | | | | (1776) e2 = e0 % 69.81/11.01 | | | | | | | | | | | | | | % 69.81/11.01 | | | | | | | | | | | | | | REDUCE: (654), (1776) imply: % 69.81/11.02 | | | | | | | | | | | | | | (1777) $false % 69.81/11.02 | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | CLOSE: (1777) is inconsistent. % 69.81/11.02 | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | Case 2: % 69.81/11.02 | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | (1778) all_10_14 = e0 | all_10_22 = e0 % 69.81/11.02 | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | BETA: splitting (1778) gives: % 69.81/11.02 | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | Case 1: % 69.81/11.02 | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | (1779) all_10_14 = e0 % 69.81/11.02 | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | REF_CLOSE: (366), (543), (1779) are inconsistent by sub-proof % 69.81/11.02 | | | | | | | | | | | | | | | #254. % 69.81/11.02 | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | Case 2: % 69.81/11.02 | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | (1780) all_10_22 = e0 % 69.81/11.02 | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | COMBINE_EQS: (516), (1780) imply: % 69.81/11.02 | | | | | | | | | | | | | | | (1781) all_4_14 = e0 % 69.81/11.02 | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | SIMP: (1781) implies: % 69.81/11.02 | | | | | | | | | | | | | | | (1782) all_4_14 = e0 % 69.81/11.02 | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | COMBINE_EQS: (349), (1782) imply: % 69.81/11.02 | | | | | | | | | | | | | | | (1783) all_8_67 = e0 % 69.81/11.02 | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | REDUCE: (96), (1782) imply: % 69.81/11.02 | | | | | | | | | | | | | | | (1784) ~ (all_4_4 = e0) % 69.81/11.02 | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | REDUCE: (71), (1782) imply: % 69.81/11.02 | | | | | | | | | | | | | | | (1785) ~ (all_4_9 = e0) % 69.81/11.02 | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | REDUCE: (51), (1782) imply: % 69.81/11.02 | | | | | | | | | | | | | | | (1786) ~ (all_4_24 = e0) % 69.81/11.02 | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | SIMP: (1786) implies: % 69.81/11.02 | | | | | | | | | | | | | | | (1787) ~ (all_4_24 = e0) % 69.81/11.02 | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | REDUCE: (645), (1782) imply: % 69.81/11.02 | | | | | | | | | | | | | | | (1788) ~ (e2 = e0) % 69.81/11.02 | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | BETA: splitting (268) gives: % 69.81/11.02 | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | Case 1: % 69.81/11.02 | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | (1789) ~ (all_8_69 = e4) % 69.81/11.02 | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | REDUCE: (343), (1789) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | (1790) ~ (all_4_24 = e4) % 69.81/11.02 | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | BETA: splitting (326) gives: % 69.81/11.02 | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | Case 1: % 69.81/11.02 | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | (1791) all_10_4 = e4 % 69.81/11.02 | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (1791) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | (1792) e4 = e1 % 69.81/11.02 | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | REDUCE: (19), (1792) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | (1793) $false % 69.81/11.02 | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | CLOSE: (1793) is inconsistent. % 69.81/11.02 | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | Case 2: % 69.81/11.02 | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | (1794) all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 | % 69.81/11.02 | | | | | | | | | | | | | | | | | all_10_22 = e4 % 69.81/11.02 | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | BETA: splitting (1794) gives: % 69.81/11.02 | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.02 | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | (1795) all_10_5 = e4 % 69.81/11.02 | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1754), (1795) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | (1796) e4 = e3 % 69.81/11.02 | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | REDUCE: (20), (1796) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | (1797) $false % 69.81/11.02 | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | CLOSE: (1797) is inconsistent. % 69.81/11.02 | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.02 | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | (1798) all_10_8 = e4 | all_10_14 = e4 | all_10_22 = e4 % 69.81/11.02 | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | BETA: splitting (1798) gives: % 69.81/11.02 | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | (1799) all_10_8 = e4 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (639), (651), (1799) are inconsistent by sub-proof % 69.81/11.02 | | | | | | | | | | | | | | | | | | | #203. % 69.81/11.02 | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | (1800) all_10_14 = e4 | all_10_22 = e4 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | BETA: splitting (1800) gives: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | (1801) all_10_14 = e4 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (1801) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | (1802) all_4_13 = e4 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | SIMP: (1802) implies: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | (1803) all_4_13 = e4 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (1803) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | (1804) all_8_62 = e4 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (1803) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | (1805) ~ (all_4_8 = e4) % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | (1806) all_10_12 = e2 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (1806) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | (1807) all_4_3 = e2 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | SIMP: (1807) implies: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | (1808) all_4_3 = e2 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (1808) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | (1809) all_8_60 = e2 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (1808) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | (1810) all_8_3 = e2 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (1808) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | (1811) ~ (all_4_1 = e2) % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (1808) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | (1812) op(e2, e4) = all_8_28 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (1808) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | (1813) op(e1, e4) = e2 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | (1814) ~ (all_8_69 = e3) % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (1814) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | (1815) ~ (all_4_24 = e3) % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | (1816) all_10_16 = e3 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (1816) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | (1817) all_4_20 = e3 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (1817) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | (1818) all_8_48 = e3 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (1817) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | (1819) ~ (all_4_15 = e3) % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (1817) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | (1820) ~ (all_4_24 = e3) % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (557), (1817) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | (1821) op(e3, e4) = all_8_7 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (276) gives: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | (1822) ~ (all_8_49 = e0) % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (421), (1822) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | (1823) ~ (all_4_0 = e0) % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (194) gives: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | (1824) all_6_0 = e1 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (479), (518), (1824) are inconsistent by sub-proof % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | #268. % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | (1825) all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | all_6_0 = e0 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1825) gives: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (1826) all_6_0 = e4 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (1826) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (1827) all_4_0 = e4 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1827) implies: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (1828) all_4_0 = e4 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (419), (1828) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) all_10_0 = e4 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (1828) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) ~ (all_4_1 = e4) % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1830) implies: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) ~ (all_4_1 = e4) % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (1828) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) ~ (all_4_4 = e4) % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1832) implies: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (1833) ~ (all_4_4 = e4) % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (117), (1828) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (1834) ~ (all_4_15 = e4) % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1834) implies: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (1835) ~ (all_4_15 = e4) % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1836) all_6_16 = e1 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (1836) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1837) all_4_8 = e1 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (1837) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1838) $false % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1838) is inconsistent. % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1839) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1839) gives: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1840) all_6_16 = e4 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (1840) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1841) all_4_8 = e4 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1805), (1841) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1842) $false % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1842) is inconsistent. % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1843) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1843) gives: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1844) all_6_16 = e2 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (1844) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845) all_4_8 = e2 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1757), (1845) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1846) $false % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1846) is inconsistent. % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1847) all_6_16 = e3 | all_6_16 = e0 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1848) all_6_24 = e1 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (608), (1848) are inconsistent by sub-proof % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #226. % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1849) all_6_24 = e4 | all_6_24 = e3 | all_6_24 = e2 | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_24 = e0 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1849) gives: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1850) all_6_24 = e4 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (1790), (1850) are inconsistent by % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #225. % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1851) all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e0 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1851) gives: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852) all_6_24 = e2 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (1852) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1853) all_4_24 = e2 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1853) implies: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1854) all_4_24 = e2 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (1854) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855) ~ (all_4_4 = e2) % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (1854) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1856) ~ (all_4_9 = e2) % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (1854) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857) ~ (all_4_19 = e2) % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (1854) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858) ~ (all_4_21 = e2) % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1847) gives: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1859) all_6_16 = e3 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (1859) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1860) all_4_8 = e3 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (1860) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1861) ~ (all_4_5 = e3) % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (1860) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1862) op(e3, e3) = all_8_30 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (1860) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863) op(e3, e1) = all_8_29 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (1860) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1864) op(e1, e3) = e3 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1865) all_10_9 = e3 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (1865) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) all_4_15 = e3 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1819), (1866) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) $false % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1867) is inconsistent. % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e3 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1868) gives: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) all_10_10 = e3 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (1869) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) all_4_16 = e3 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1870) implies: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) all_4_16 = e3 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1763), (1871) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) $false % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1872) is inconsistent. % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) all_10_11 = e3 | all_10_15 = e3 | all_10_23 = e3 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1873) gives: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) all_10_11 = e3 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (1874) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875) all_4_17 = e3 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1875) implies: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) all_4_17 = e3 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (529), (1876) imply: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877) $false % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1877) is inconsistent. % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1878) all_10_15 = e3 | all_10_23 = e3 % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1878) gives: % 69.81/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879) all_10_15 = e3 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (363), (1879) are inconsistent by sub-proof % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #191. % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880) all_10_23 = e3 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (1880) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881) all_4_19 = e3 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1881) implies: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882) all_4_19 = e3 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (1882) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) ~ (all_4_9 = e3) % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (1882) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) op(e3, e1) = all_8_43 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885) all_10_0 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1829), (1885) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1886) e4 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (1886) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1887) $false % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1887) is inconsistent. % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1888) all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1888) gives: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889) all_10_2 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (1889) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1890) all_4_1 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1890) implies: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891) all_4_1 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (1891) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892) all_8_50 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (622), (1891) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893) all_8_19 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1891) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1894) ~ (all_4_4 = e0) % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (1891) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895) ~ (all_4_16 = e0) % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (1891) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1896) ~ (all_4_21 = e0) % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1896) implies: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897) ~ (all_4_21 = e0) % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (519), (1891) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1898) ~ (e3 = e0) % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (1891) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1899) op(e0, e4) = all_8_10 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (1891) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1900) op(e3, e4) = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901) all_6_9 = e1 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (605), (1901) are inconsistent by sub-proof % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #133. % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1902) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_9 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1902) gives: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1903) all_6_9 = e4 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (1903) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1904) all_4_21 = e4 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1904) implies: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905) all_4_21 = e4 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (1905) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1906) all_8_53 = e4 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (1905) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1907) ~ (all_4_16 = e4) % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (1905) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1908) ~ (all_4_22 = e4) % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1908) implies: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1909) ~ (all_4_22 = e4) % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1910) all_6_8 = e1 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (1910) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1911) all_4_16 = e1 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1911) implies: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1912) all_4_16 = e1 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (1912) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) all_10_10 = e1 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1912) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) ~ (all_4_17 = e1) % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1914) implies: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) ~ (all_4_17 = e1) % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (1912) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) op(e1, e3) = all_8_14 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (1912) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) op(e1, e1) = all_8_15 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (1912) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) op(e3, e1) = e1 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) all_6_13 = e1 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (1915), (1919) are inconsistent by % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #247. % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) ~ (all_6_13 = e1) % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_13 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) all_6_20 = e1 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (1922) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) all_4_4 = e1 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (1923) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) ~ (all_4_9 = e1) % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1924) implies: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) ~ (all_4_9 = e1) % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (523), (1923) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) ~ (e3 = e1) % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1855), (1923) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) ~ (e2 = e1) % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (1923) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) op(e1, e4) = all_8_37 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (1923) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) op(e0, e4) = e1 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) all_6_21 = e1 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (1925), (1930) are inconsistent by % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #132. % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_21 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (337) gives: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) all_10_0 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1829), (1932) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) e4 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (1933) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) $false % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1934) is inconsistent. % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1931) gives: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) all_6_21 = e4 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (1936) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) all_4_9 = e4 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1937) implies: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) all_4_9 = e4 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (1938) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) all_8_66 = e4 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (1938) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) ~ (all_4_7 = e4) % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) all_10_6 = e1 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (388), (1941) are inconsistent by sub-proof % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #245. % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) all_10_7 = e1 | all_10_8 = e1 | all_10_11 = e1 | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e1 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1943) all_10_6 = e4 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (1943) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944) e4 = e3 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (1944) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1945) $false % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1945) is inconsistent. % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1946) all_10_7 = e4 | all_10_8 = e4 | all_10_11 = e4 | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e4 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1947) all_10_9 = e2 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (1947) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1948) all_4_15 = e2 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (1948) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1949) all_8_47 = e2 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (1948) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1950) ~ (all_4_5 = e2) % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (1948) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1951) op(e2, e4) = all_8_5 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1935) gives: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1952) all_10_1 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (1952) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) all_4_5 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (423), (1953) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) all_8_45 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (92), (1953) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) ~ (all_4_7 = e0) % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1955) implies: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) ~ (all_4_7 = e0) % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (551), (1953) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) op(e0, e4) = all_8_1 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1958) all_6_11 = e1 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (1958) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1959) all_4_7 = e1 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1959) implies: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1960) all_4_7 = e1 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (1960) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1961) all_10_7 = e1 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (1960) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1962) ~ (all_4_22 = e1) % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1940), (1960) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1963) ~ (e4 = e1) % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (571), (1960) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1964) op(e1, e3) = all_8_21 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1965) all_10_6 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (388), (1965) are inconsistent by sub-proof % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #131. % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966) all_10_7 = e0 | all_10_8 = e0 | all_10_11 = e0 | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1966) gives: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1967) all_10_7 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1961), (1967) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1968) e1 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (609), (1968) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1969) $false % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1969) is inconsistent. % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1970) all_10_8 = e0 | all_10_11 = e0 | all_10_18 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1970) gives: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1971) all_10_8 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (639), (1971) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1972) e2 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (654), (1972) imply: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) $false % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1973) is inconsistent. % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) all_10_11 = e0 | all_10_18 = e0 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1946) gives: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) all_10_7 = e4 % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (1961), (1975) are inconsistent by sub-proof % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #139. % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1976) all_10_8 = e4 | all_10_11 = e4 | all_10_18 = e4 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1976) gives: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1977) all_10_8 = e4 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (639), (651), (1977) are inconsistent by sub-proof % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #203. % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1978) all_10_11 = e4 | all_10_18 = e4 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1978) gives: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1979) all_10_11 = e4 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (1979) imply: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) all_4_17 = e4 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1980) implies: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1981) all_4_17 = e4 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (443), (1981) imply: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1982) all_8_57 = e4 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1974) gives: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1983) all_10_11 = e0 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1979), (1983) imply: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1984) e4 = e0 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1984) implies: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1985) e4 = e0 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (1985) imply: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1986) $false % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1986) is inconsistent. % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1987) all_10_18 = e0 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (1987) imply: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1988) all_4_22 = e0 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (1988) imply: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1989) all_8_58 = e0 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (606), (1988) imply: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1990) ~ (e1 = e0) % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (21), (22), (265), (609), (618), % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (653), (654), (1766), (1767), (1783), (1804), % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1809), (1810), (1812), (1813), (1821), (1862), % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863), (1864), (1884), (1892), (1893), (1899), % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1900), (1906), (1916), (1917), (1918), (1928), % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929), (1939), (1949), (1951), (1954), (1957), % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1964), (1982), (1989), (function-axioms) are % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #124. % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1991) all_10_18 = e4 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (1991) imply: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1992) all_4_22 = e4 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1909), (1992) imply: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1993) $false % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1993) is inconsistent. % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1994) ~ (all_6_11 = e1) % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (1994) imply: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1995) ~ (all_4_7 = e1) % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1942) gives: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1996) all_10_7 = e1 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (1996) imply: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1997) all_4_7 = e1 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1995), (1997) imply: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) $false % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1998) is inconsistent. % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) all_10_8 = e1 | all_10_11 = e1 | all_10_18 = e1 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (375), (378), (606), (639), (653), (1915), (1999) % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #233. % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) all_10_4 = e0 | all_10_9 = e0 | all_10_16 = e0 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (413), (609), (654), (1816), (1947), (2000) % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #123. % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e2 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (363), (378), (491), (515), (529), (546), (647), % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (653), (654), (1857), (1913), (1921), (2001) are % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #230. % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2002) gives: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) all_6_21 = e2 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (1856), (2003) are inconsistent by % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #154. % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) all_6_21 = e3 | all_6_21 = e0 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (1785), (1883), (2004) are inconsistent by % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #122. % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_20 = e0 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (523), (1784), (1833), (1855), (2005) are % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #261. % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_8 = e0 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (545), (1759), (1763), (1907), (2006) are % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #198. % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e0 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (1765), (1858), (1897), (2007) are % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #120. % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) ~ (all_10_2 = e0) % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (2008) imply: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) ~ (all_4_1 = e0) % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (113), (178), (190), (480), (502), (519), (523), % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784), (1811), (1831), (1833), (1855), (2009) are % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #255. % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) all_6_16 = e0 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (2010) imply: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) all_4_8 = e0 % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (534), (2011) imply: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) $false % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2012) is inconsistent. % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 69.81/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) all_6_24 = e3 | all_6_24 = e0 % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (1787), (1815), (2013) are inconsistent by % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #119. % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | (2014) all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0 % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (479), (517), (612), (1823), (2014) are % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228. % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | (2015) all_8_48 = e4 % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1818), (2015) imply: % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | (2016) e4 = e3 % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2016) implies: % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | (2017) e4 = e3 % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.04 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (2017) imply: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | (2018) $false % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2018) is inconsistent. % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | (2019) all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e3 % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2019) gives: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | (2020) all_10_17 = e3 % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (2020) imply: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | (2021) all_4_21 = e3 % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1765), (2021) imply: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | (2022) $false % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2022) is inconsistent. % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | (2023) all_10_18 = e3 | all_10_19 = e3 | all_10_24 = e3 % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2023) gives: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | (2024) all_10_18 = e3 % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (2024) imply: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | (2025) all_4_22 = e3 % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (531), (2025) imply: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | (2026) $false % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2026) is inconsistent. % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | (2027) all_10_19 = e3 | all_10_24 = e3 % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (2028) all_6_24 = e1 % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (2028) imply: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) all_4_24 = e1 % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (608), (2029) imply: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (2030) $false % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2030) is inconsistent. % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (2031) all_6_24 = e4 | all_6_24 = e3 | all_6_24 = e2 | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_24 = e0 % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2031) gives: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) all_6_24 = e4 % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (2032) imply: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) all_4_24 = e4 % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1790), (2033) imply: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) $false % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2034) is inconsistent. % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e0 % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2035) gives: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) all_6_24 = e2 % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (2036) imply: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) all_4_24 = e2 % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (2037) imply: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) all_10_24 = e2 % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (600), (2027), (2038) are inconsistent % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #118. % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) all_6_24 = e3 | all_6_24 = e0 % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (1787), (1815), (2039) are inconsistent by % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #119. % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | End of split % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | (2040) all_8_66 = e0 % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (2040) imply: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | (2041) all_4_9 = e0 % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2041) implies: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | (2042) all_4_9 = e0 % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1785), (2042) imply: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | (2043) $false % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2043) is inconsistent. % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | End of split % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | (2044) all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | all_10_19 = e2 % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (363), (369), (600), (651), (653), (654), (1757), % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | (1801), (2044) are inconsistent by sub-proof #116. % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | End of split % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | (2045) all_10_22 = e4 % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1780), (2045) imply: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | (2046) e4 = e0 % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (2046) imply: % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | (2047) $false % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | CLOSE: (2047) is inconsistent. % 70.15/11.05 | | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | | End of split % 70.15/11.05 | | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | | End of split % 70.15/11.05 | | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | | End of split % 70.15/11.05 | | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | End of split % 70.15/11.05 | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | Case 2: % 70.15/11.05 | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | (2048) all_8_65 = e0 % 70.15/11.05 | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (2048) imply: % 70.15/11.05 | | | | | | | | | | | | | | | | (2049) all_4_4 = e0 % 70.15/11.05 | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | SIMP: (2049) implies: % 70.15/11.05 | | | | | | | | | | | | | | | | (2050) all_4_4 = e0 % 70.15/11.05 | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | REDUCE: (1784), (2050) imply: % 70.15/11.05 | | | | | | | | | | | | | | | | (2051) $false % 70.15/11.05 | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | | CLOSE: (2051) is inconsistent. % 70.15/11.05 | | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | | End of split % 70.15/11.05 | | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | | End of split % 70.15/11.05 | | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | | End of split % 70.15/11.05 | | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | | End of split % 70.15/11.05 | | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | End of split % 70.15/11.05 | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | End of split % 70.15/11.05 | | | | | | | | | | % 70.15/11.05 | | | | | | | | | Case 2: % 70.15/11.05 | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | (2052) all_6_12 = e3 | all_6_12 = e0 % 70.15/11.05 | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | BETA: splitting (2052) gives: % 70.15/11.05 | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | Case 1: % 70.15/11.05 | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | (2053) all_6_12 = e3 % 70.15/11.05 | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | COMBINE_EQS: (493), (2053) imply: % 70.15/11.05 | | | | | | | | | | | (2054) all_4_12 = e3 % 70.15/11.05 | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | REDUCE: (527), (2054) imply: % 70.15/11.05 | | | | | | | | | | | (2055) $false % 70.15/11.05 | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | CLOSE: (2055) is inconsistent. % 70.15/11.05 | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | Case 2: % 70.15/11.05 | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | (2056) all_6_12 = e0 % 70.15/11.05 | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | COMBINE_EQS: (493), (2056) imply: % 70.15/11.05 | | | | | | | | | | | (2057) all_4_12 = e0 % 70.15/11.05 | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | REDUCE: (626), (2057) imply: % 70.15/11.05 | | | | | | | | | | | (2058) $false % 70.15/11.05 | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | CLOSE: (2058) is inconsistent. % 70.15/11.05 | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | End of split % 70.15/11.05 | | | | | | | | | | % 70.15/11.05 | | | | | | | | | End of split % 70.15/11.05 | | | | | | | | | % 70.15/11.05 | | | | | | | | End of split % 70.15/11.05 | | | | | | | | % 70.15/11.05 | | | | | | | End of split % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | Case 2: % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | (2059) all_8_59 = e0 % 70.15/11.05 | | | | | | | (2060) all_8_58 = e2 % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | COMBINE_EQS: (456), (2060) imply: % 70.15/11.05 | | | | | | | (2061) all_4_22 = e2 % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | SIMP: (2061) implies: % 70.15/11.05 | | | | | | | (2062) all_4_22 = e2 % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | COMBINE_EQS: (437), (2059) imply: % 70.15/11.05 | | | | | | | (2063) all_4_12 = e0 % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | COMBINE_EQS: (375), (2062) imply: % 70.15/11.05 | | | | | | | (2064) all_10_18 = e2 % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | COMBINE_EQS: (381), (2063) imply: % 70.15/11.05 | | | | | | | (2065) all_10_8 = e0 % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | REDUCE: (78), (2063) imply: % 70.15/11.05 | | | | | | | (2066) ~ (all_4_7 = e0) % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | REDUCE: (76), (2062) imply: % 70.15/11.05 | | | | | | | (2067) ~ (all_4_7 = e2) % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | REDUCE: (64), (2063) imply: % 70.15/11.05 | | | | | | | (2068) ~ (all_4_11 = e0) % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | REDUCE: (59), (2063) imply: % 70.15/11.05 | | | | | | | (2069) ~ (all_4_13 = e0) % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | REDUCE: (57), (2063) imply: % 70.15/11.05 | | | | | | | (2070) ~ (all_4_17 = e0) % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | REDUCE: (538), (2063) imply: % 70.15/11.05 | | | | | | | (2071) ~ (e1 = e0) % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | REDUCE: (39), (2062) imply: % 70.15/11.05 | | | | | | | (2072) ~ (all_4_17 = e2) % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | REDUCE: (34), (2062) imply: % 70.15/11.05 | | | | | | | (2073) ~ (all_4_20 = e2) % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | REDUCE: (31), (2062) imply: % 70.15/11.05 | | | | | | | (2074) ~ (all_4_21 = e2) % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | REDUCE: (27), (2062) imply: % 70.15/11.05 | | | | | | | (2075) ~ (all_4_24 = e2) % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | SIMP: (2075) implies: % 70.15/11.05 | | | | | | | (2076) ~ (all_4_24 = e2) % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | REDUCE: (531), (2062) imply: % 70.15/11.05 | | | | | | | (2077) ~ (e3 = e2) % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | REDUCE: (577), (2063) imply: % 70.15/11.05 | | | | | | | (2078) op(e0, e2) = all_8_22 % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | REDUCE: (575), (2062) imply: % 70.15/11.05 | | | | | | | (2079) op(e2, e2) = all_8_25 % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | REDUCE: (576), (2062) imply: % 70.15/11.05 | | | | | | | (2080) op(e2, e0) = all_8_26 % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | REDUCE: (136), (2063) imply: % 70.15/11.05 | | | | | | | (2081) op(e2, e2) = e0 % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | REDUCE: (134), (2062) imply: % 70.15/11.05 | | | | | | | (2082) op(e2, e0) = e2 % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_14, % 70.15/11.05 | | | | | | | all_8_22, e2, e0, simplifying with (126), (2078) % 70.15/11.05 | | | | | | | gives: % 70.15/11.05 | | | | | | | (2083) all_8_22 = all_4_14 % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_26, % 70.15/11.05 | | | | | | | e0, e2, simplifying with (2080), (2082) gives: % 70.15/11.05 | | | | | | | (2084) all_8_26 = e2 % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_25, % 70.15/11.05 | | | | | | | e2, e2, simplifying with (2079), (2081) gives: % 70.15/11.05 | | | | | | | (2085) all_8_25 = e0 % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | BETA: splitting (268) gives: % 70.15/11.05 | | | | | | | % 70.15/11.05 | | | | | | | Case 1: % 70.15/11.05 | | | | | | | | % 70.15/11.05 | | | | | | | | (2086) ~ (all_8_69 = e4) % 70.15/11.05 | | | | | | | | % 70.15/11.05 | | | | | | | | REDUCE: (343), (2086) imply: % 70.15/11.05 | | | | | | | | (2087) ~ (all_4_24 = e4) % 70.15/11.05 | | | | | | | | % 70.15/11.05 | | | | | | | | BETA: splitting (272) gives: % 70.15/11.05 | | | | | | | | % 70.15/11.05 | | | | | | | | Case 1: % 70.15/11.05 | | | | | | | | | % 70.15/11.05 | | | | | | | | | (2088) ~ (all_8_54 = e0) % 70.15/11.05 | | | | | | | | | % 70.15/11.05 | | | | | | | | | REDUCE: (426), (2088) imply: % 70.15/11.05 | | | | | | | | | (2089) ~ (all_4_6 = e0) % 70.15/11.05 | | | | | | | | | % 70.15/11.05 | | | | | | | | | BETA: splitting (267) gives: % 70.15/11.05 | | | | | | | | | % 70.15/11.05 | | | | | | | | | Case 1: % 70.15/11.05 | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | (2090) ~ (all_8_69 = e3) % 70.15/11.05 | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | REDUCE: (343), (2090) imply: % 70.15/11.05 | | | | | | | | | | (2091) ~ (all_4_24 = e3) % 70.15/11.05 | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | BETA: splitting (174) gives: % 70.15/11.05 | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | Case 1: % 70.15/11.05 | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | (2092) all_6_24 = e1 % 70.15/11.05 | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | | REF_CLOSE: (507), (608), (2092) are inconsistent by sub-proof % 70.15/11.05 | | | | | | | | | | | #226. % 70.15/11.05 | | | | | | | | | | | % 70.15/11.05 | | | | | | | | | | Case 2: % 70.15/11.05 | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | (2093) all_6_24 = e4 | all_6_24 = e3 | all_6_24 = e2 | % 70.15/11.06 | | | | | | | | | | | all_6_24 = e0 % 70.15/11.06 | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | BETA: splitting (2093) gives: % 70.15/11.06 | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | Case 1: % 70.15/11.06 | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | (2094) all_6_24 = e4 % 70.15/11.06 | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | REF_CLOSE: (507), (2087), (2094) are inconsistent by % 70.15/11.06 | | | | | | | | | | | | sub-proof #225. % 70.15/11.06 | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | Case 2: % 70.15/11.06 | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | (2095) ~ (all_6_24 = e4) % 70.15/11.06 | | | | | | | | | | | | (2096) all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e0 % 70.15/11.06 | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | BETA: splitting (2096) gives: % 70.15/11.06 | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | Case 1: % 70.15/11.06 | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | (2097) all_6_24 = e2 % 70.15/11.06 | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | REF_CLOSE: (507), (2076), (2097) are inconsistent by % 70.15/11.06 | | | | | | | | | | | | | sub-proof #222. % 70.15/11.06 | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | Case 2: % 70.15/11.06 | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | (2098) ~ (all_6_24 = e2) % 70.15/11.06 | | | | | | | | | | | | | (2099) all_6_24 = e3 | all_6_24 = e0 % 70.15/11.06 | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | BETA: splitting (2099) gives: % 70.15/11.06 | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | Case 1: % 70.15/11.06 | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | (2100) all_6_24 = e3 % 70.15/11.06 | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | REF_CLOSE: (507), (2091), (2100) are inconsistent by % 70.15/11.06 | | | | | | | | | | | | | | sub-proof #265. % 70.15/11.06 | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | Case 2: % 70.15/11.06 | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | (2101) all_6_24 = e0 % 70.15/11.06 | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | COMBINE_EQS: (507), (2101) imply: % 70.15/11.06 | | | | | | | | | | | | | | (2102) all_4_24 = e0 % 70.15/11.06 | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | SIMP: (2102) implies: % 70.15/11.06 | | | | | | | | | | | | | | (2103) all_4_24 = e0 % 70.15/11.06 | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | COMBINE_EQS: (514), (2103) imply: % 70.15/11.06 | | | | | | | | | | | | | | (2104) all_10_24 = e0 % 70.15/11.06 | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | REDUCE: (69), (2103) imply: % 70.15/11.06 | | | | | | | | | | | | | | (2105) ~ (all_4_9 = e0) % 70.15/11.06 | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | REDUCE: (51), (2103) imply: % 70.15/11.06 | | | | | | | | | | | | | | (2106) ~ (all_4_14 = e0) % 70.15/11.06 | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | REDUCE: (2091), (2103) imply: % 70.15/11.06 | | | | | | | | | | | | | | (2107) ~ (e3 = e0) % 70.15/11.06 | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | BETA: splitting (327) gives: % 70.15/11.06 | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | Case 1: % 70.15/11.06 | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | (2108) all_10_2 = e0 % 70.15/11.06 | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | COMBINE_EQS: (403), (2108) imply: % 70.15/11.06 | | | | | | | | | | | | | | | (2109) all_4_1 = e0 % 70.15/11.06 | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | SIMP: (2109) implies: % 70.15/11.06 | | | | | | | | | | | | | | | (2110) all_4_1 = e0 % 70.15/11.06 | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | COMBINE_EQS: (425), (2110) imply: % 70.15/11.06 | | | | | | | | | | | | | | | (2111) all_8_50 = e0 % 70.15/11.06 | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | COMBINE_EQS: (622), (2110) imply: % 70.15/11.06 | | | | | | | | | | | | | | | (2112) all_8_19 = e0 % 70.15/11.06 | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | REDUCE: (114), (2110) imply: % 70.15/11.06 | | | | | | | | | | | | | | | (2113) ~ (all_4_3 = e0) % 70.15/11.06 | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | REDUCE: (113), (2110) imply: % 70.15/11.06 | | | | | | | | | | | | | | | (2114) ~ (all_4_4 = e0) % 70.15/11.06 | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | SIMP: (2114) implies: % 70.15/11.06 | | | | | | | | | | | | | | | (2115) ~ (all_4_4 = e0) % 70.15/11.06 | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | REDUCE: (112), (2110) imply: % 70.15/11.06 | | | | | | | | | | | | | | | (2116) ~ (all_4_6 = e0) % 70.15/11.06 | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | REDUCE: (111), (2110) imply: % 70.15/11.06 | | | | | | | | | | | | | | | (2117) ~ (all_4_11 = e0) % 70.15/11.06 | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | REDUCE: (560), (2110) imply: % 70.15/11.06 | | | | | | | | | | | | | | | (2118) op(e0, e4) = all_8_10 % 70.15/11.06 | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | REDUCE: (561), (2110) imply: % 70.15/11.06 | | | | | | | | | | | | | | | (2119) op(e0, e3) = all_8_9 % 70.15/11.06 | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | REDUCE: (143), (2110) imply: % 70.15/11.06 | | | | | | | | | | | | | | | (2120) op(e3, e4) = e0 % 70.15/11.06 | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | BETA: splitting (331) gives: % 70.15/11.06 | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | Case 1: % 70.15/11.06 | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | (2121) all_10_1 = e0 % 70.15/11.06 | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (2121) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | (2122) all_4_5 = e0 % 70.15/11.06 | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | COMBINE_EQS: (423), (2122) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | (2123) all_8_45 = e0 % 70.15/11.06 | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | REDUCE: (119), (2122) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | (2124) ~ (all_4_0 = e0) % 70.15/11.06 | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | REDUCE: (92), (2122) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | (2125) ~ (all_4_7 = e0) % 70.15/11.06 | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | REDUCE: (91), (2122) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | (2126) ~ (all_4_8 = e0) % 70.15/11.06 | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | REDUCE: (90), (2122) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | (2127) ~ (all_4_9 = e0) % 70.15/11.06 | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | REDUCE: (88), (2122) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | (2128) ~ (all_4_15 = e0) % 70.15/11.06 | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | REDUCE: (87), (2122) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | (2129) ~ (all_4_20 = e0) % 70.15/11.06 | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | SIMP: (2129) implies: % 70.15/11.06 | | | | | | | | | | | | | | | | (2130) ~ (all_4_20 = e0) % 70.15/11.06 | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | REDUCE: (551), (2122) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | (2131) op(e0, e4) = all_8_1 % 70.15/11.06 | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | REDUCE: (552), (2122) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | (2132) op(e0, e3) = all_8_2 % 70.15/11.06 | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | REDUCE: (147), (2122) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | (2133) op(e4, e3) = e0 % 70.15/11.06 | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | BETA: splitting (194) gives: % 70.15/11.06 | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | Case 1: % 70.15/11.06 | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | (2134) all_6_0 = e1 % 70.15/11.06 | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | REF_CLOSE: (479), (518), (2134) are inconsistent by sub-proof % 70.15/11.06 | | | | | | | | | | | | | | | | | #268. % 70.15/11.06 | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | Case 2: % 70.15/11.06 | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | (2135) ~ (all_6_0 = e1) % 70.15/11.06 | | | | | | | | | | | | | | | | | (2136) all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | % 70.15/11.06 | | | | | | | | | | | | | | | | | all_6_0 = e0 % 70.15/11.06 | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | BETA: splitting (2136) gives: % 70.15/11.06 | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.06 | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | (2137) all_6_0 = e4 % 70.15/11.06 | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (2137) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | (2138) all_4_0 = e4 % 70.15/11.06 | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | SIMP: (2138) implies: % 70.15/11.06 | | | | | | | | | | | | | | | | | | (2139) all_4_0 = e4 % 70.15/11.06 | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (419), (2139) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | (2140) all_10_0 = e4 % 70.15/11.06 | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | REDUCE: (117), (2139) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | (2141) ~ (all_4_15 = e4) % 70.15/11.06 | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | SIMP: (2141) implies: % 70.15/11.06 | | | | | | | | | | | | | | | | | | (2142) ~ (all_4_15 = e4) % 70.15/11.06 | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | REDUCE: (116), (2139) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | (2143) ~ (all_4_20 = e4) % 70.15/11.06 | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | SIMP: (2143) implies: % 70.15/11.06 | | | | | | | | | | | | | | | | | | (2144) ~ (all_4_20 = e4) % 70.15/11.06 | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | REDUCE: (612), (2139) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | (2145) ~ (e4 = e2) % 70.15/11.06 | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives: % 70.15/11.06 | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | (2146) all_10_0 = e1 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2140), (2146) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | (2147) e4 = e1 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | REDUCE: (19), (2147) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | (2148) $false % 70.15/11.06 | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | CLOSE: (2148) is inconsistent. % 70.15/11.06 | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | (2149) ~ (all_10_0 = e1) % 70.15/11.06 | | | | | | | | | | | | | | | | | | | (2150) all_10_2 = e1 | all_10_6 = e1 | all_10_12 = e1 | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | all_10_20 = e1 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | (2151) all_10_16 = e4 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (2151) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | (2152) all_4_20 = e4 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | REDUCE: (2144), (2152) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | (2153) $false % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | CLOSE: (2153) is inconsistent. % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | (2154) all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | all_10_24 = e4 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2154) gives: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | (2155) all_10_17 = e4 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (2155) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | (2156) all_4_21 = e4 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (2156) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | (2157) all_8_53 = e4 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (2156) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | (2158) ~ (all_4_11 = e4) % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (2156) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | (2159) op(e4, e3) = all_8_16 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | (2160) all_10_2 = e1 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2108), (2160) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | (2161) e1 = e0 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (609), (2161) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | (2162) $false % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2162) is inconsistent. % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | (2163) ~ (all_10_2 = e1) % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | (2164) all_10_3 = e1 | all_10_5 = e1 | all_10_10 = e1 | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | all_10_17 = e1 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2164) gives: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | (2165) all_10_3 = e1 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (2165) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | (2166) all_4_6 = e1 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (624), (2166) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | (2167) $false % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2167) is inconsistent. % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | (2168) all_10_5 = e1 | all_10_10 = e1 | all_10_17 = e1 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2168) gives: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | (2169) all_10_5 = e1 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (397), (536), (2169) are inconsistent by sub-proof % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | #248. % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | (2170) all_10_10 = e1 | all_10_17 = e1 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | (2171) all_10_16 = e3 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (2171) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | (2172) all_4_20 = e3 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (2172) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | (2173) ~ (all_4_15 = e3) % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (557), (2172) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | (2174) op(e3, e4) = all_8_7 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (2175) all_6_3 = e1 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (2175) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (2176) all_4_15 = e1 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (542), (2176) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (2177) $false % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2177) is inconsistent. % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (2178) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e0 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2178) gives: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179) all_6_3 = e4 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (2179) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2180) all_4_15 = e4 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2142), (2180) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2181) $false % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2181) is inconsistent. % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2182) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2150) gives: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2183) all_10_2 = e1 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2108), (2183) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2184) e1 = e0 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (609), (2184) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2185) $false % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2185) is inconsistent. % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2186) all_10_6 = e1 | all_10_12 = e1 | all_10_20 = e1 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2170) gives: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187) all_10_10 = e1 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (2187) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2188) all_4_16 = e1 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2188) implies: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2189) all_4_16 = e1 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (2189) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2190) ~ (all_4_17 = e1) % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2190) implies: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2191) ~ (all_4_17 = e1) % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (2189) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2192) op(e1, e3) = all_8_14 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (2189) imply: % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2193) op(e1, e1) = all_8_15 % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (2189) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2194) op(e3, e1) = e1 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2195) all_10_9 = e3 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (2195) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2196) all_4_15 = e3 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2173), (2196) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2197) $false % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2197) is inconsistent. % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2198) ~ (all_10_9 = e3) % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2199) all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e3 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2200) all_6_13 = e1 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (2191), (2200) are inconsistent by % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #247. % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2201) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_13 = e0 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2202) all_10_6 = e1 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (388), (2202) are inconsistent by sub-proof % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #245. % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2203) all_10_7 = e1 | all_10_8 = e1 | all_10_11 = e1 | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e1 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2203) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2204) all_10_7 = e1 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (2204) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2205) all_4_7 = e1 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (2205) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2206) ~ (all_4_8 = e1) % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (525), (2205) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2207) ~ (e3 = e1) % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (571), (2205) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2208) op(e1, e3) = all_8_21 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (2205) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2209) op(e2, e3) = e1 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2182) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2210) all_6_3 = e2 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (2210) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2211) all_4_15 = e2 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2211) implies: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2212) all_4_15 = e2 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (2212) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2213) all_8_47 = e2 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (2212) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2214) ~ (all_4_17 = e2) % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (542), (2212) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2215) ~ (e2 = e1) % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (2212) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2216) ~ (e2 = e0) % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (2212) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2217) op(e2, e4) = all_8_5 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2201) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2218) all_6_13 = e4 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (2218) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219) all_4_17 = e4 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2219) implies: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2220) all_4_17 = e4 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (443), (2220) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2221) all_8_57 = e4 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (2220) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2222) all_10_11 = e4 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (573), (2220) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2223) op(e4, e2) = all_8_23 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2199) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2224) all_10_10 = e3 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2187), (2224) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2225) e3 = e1 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (2225) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2226) $false % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2226) is inconsistent. % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2227) ~ (all_10_10 = e3) % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2228) all_10_11 = e3 | all_10_15 = e3 | all_10_23 = e3 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2229) all_10_20 = e1 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (2229) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2230) all_4_4 = e1 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (2230) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2231) ~ (all_4_9 = e1) % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2231) implies: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2232) ~ (all_4_9 = e1) % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (2230) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2233) op(e1, e4) = all_8_37 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (2230) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2234) op(e0, e4) = e1 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (339) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2235) all_10_0 = e2 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2140), (2235) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2236) e4 = e2 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2145), (2236) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2237) $false % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2237) is inconsistent. % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2238) all_10_2 = e2 | all_10_6 = e2 | all_10_12 = e2 | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e2 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2238) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2239) all_10_2 = e2 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2108), (2239) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2240) e2 = e0 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2216), (2240) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2241) $false % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2241) is inconsistent. % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2242) all_10_6 = e2 | all_10_12 = e2 | all_10_20 = e2 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2242) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2243) all_10_6 = e2 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (388), (2243) are inconsistent by sub-proof % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #179. % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2244) all_10_12 = e2 | all_10_20 = e2 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2244) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2245) all_10_12 = e2 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (2245) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2246) all_4_3 = e2 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2246) implies: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2247) all_4_3 = e2 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (2247) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2248) all_8_60 = e2 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (2247) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2249) all_8_3 = e2 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (2247) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2250) ~ (all_4_8 = e2) % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2250) implies: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2251) ~ (all_4_8 = e2) % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (2247) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2252) op(e2, e4) = all_8_28 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2247) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2253) op(e1, e4) = e2 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2228) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2254) all_10_11 = e3 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (2222), (2254) are inconsistent by sub-proof % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #115. % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2255) all_10_15 = e3 | all_10_23 = e3 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2255) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2256) all_10_15 = e3 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (363), (2256) are inconsistent by sub-proof % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #191. % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2257) all_10_23 = e3 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (2257) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2258) all_4_19 = e3 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2258) implies: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2259) all_4_19 = e3 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (2259) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2260) ~ (all_4_9 = e3) % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (2259) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2261) ~ (all_4_14 = e3) % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (2259) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2262) op(e3, e1) = all_8_43 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9, % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_2, e3, e0, simplifying with (127), (2132) % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2263) all_8_2 = all_4_9 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_9, % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_2, e3, e0, simplifying with (2119), (2132) % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2264) all_8_2 = all_8_9 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_10, % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, e4, e0, simplifying with (2118), (2131) % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2265) all_8_1 = all_8_10 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_1, % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e0, simplifying with (2131), (2234) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2266) all_8_1 = e1 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_15, % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (21), (2193) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2267) all_8_15 = e0 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_8, % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_14, e3, e1, simplifying with (132), (2192) % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2268) all_8_14 = all_4_8 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_21, % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_14, e3, e1, simplifying with (2192), (2208) % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2269) all_8_14 = all_8_21 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_37, % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e1, simplifying with (2233), (2253) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2270) all_8_37 = e2 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_5, % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (22), (2217) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2271) all_8_5 = e3 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_28, % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_5, e4, e2, simplifying with (2217), (2252) % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2272) all_8_5 = all_8_28 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_43, % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (2194), (2262) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2273) all_8_43 = e1 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_7, % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (2120), (2174) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2274) all_8_7 = e0 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_23, % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (23), (2223) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2275) all_8_23 = e1 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_16, % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (2133), (2159) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2276) all_8_16 = e0 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2265), (2266) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2277) all_8_10 = e1 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2277) implies: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2278) all_8_10 = e1 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2263), (2264) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279) all_8_9 = all_4_9 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2271), (2272) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280) all_8_28 = e3 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2268), (2269) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2281) all_8_21 = all_4_8 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2281) implies: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2282) all_8_21 = all_4_8 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2283) ~ (all_8_54 = e2) % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (426), (2283) imply: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2284) ~ (all_4_6 = e2) % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2285) all_6_6 = e1 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (624), (2285) are inconsistent by sub-proof % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #246. % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2286) ~ (all_6_6 = e1) % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2287) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_6 = e0 % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2288) all_10_1 = e2 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2121), (2288) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2289) e2 = e0 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2289) implies: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2290) e2 = e0 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2216), (2290) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291) $false % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2291) is inconsistent. % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2292) all_10_3 = e2 | all_10_7 = e2 | all_10_13 = e2 | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e2 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2292) gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2293) all_10_3 = e2 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (2293) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294) all_4_6 = e2 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2294) implies: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2295) all_4_6 = e2 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2284), (2295) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2296) $false % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2296) is inconsistent. % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2297) ~ (all_10_3 = e2) % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2298) all_10_7 = e2 | all_10_13 = e2 | all_10_21 = e2 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2287) gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2299) all_6_6 = e4 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (614), (2299) are inconsistent by sub-proof % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #244. % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2300) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e0 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2298) gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2301) all_10_7 = e2 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2204), (2301) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2302) e2 = e1 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2215), (2302) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2303) $false % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2303) is inconsistent. % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2304) all_10_13 = e2 | all_10_21 = e2 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2300) gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2305) all_6_6 = e2 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (2284), (2305) are inconsistent by % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #243. % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2306) all_6_6 = e3 | all_6_6 = e0 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2306) gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2307) all_6_6 = e3 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (2307) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2308) all_4_6 = e3 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2308) implies: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2309) all_4_6 = e3 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (2309) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2310) ~ (all_4_8 = e3) % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2310) implies: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2311) ~ (all_4_8 = e3) % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (2309) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2312) ~ (all_4_9 = e3) % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (2309) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2313) ~ (all_4_11 = e3) % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2313) implies: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2314) ~ (all_4_11 = e3) % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2315) all_6_16 = e1 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (2315) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2316) all_4_8 = e1 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (2316) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317) $false % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2317) is inconsistent. % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2318) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2319) all_6_7 = e1 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (2319) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2320) all_4_11 = e1 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (2320) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2321) $false % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2321) is inconsistent. % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2322) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_7 = e0 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2323) all_10_4 = e3 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (413), (2323) are inconsistent by sub-proof % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #114. % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2324) all_10_5 = e3 | all_10_8 = e3 | all_10_14 = e3 | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22 = e3 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2322) gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2325) all_6_7 = e4 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (2325) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2326) all_4_11 = e4 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2158), (2326) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2327) $false % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2327) is inconsistent. % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2328) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2328) gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2329) all_6_7 = e2 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (2329) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2330) all_4_11 = e2 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (2330) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2331) all_10_5 = e2 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (2330) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2332) op(e2, e3) = all_8_12 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (2330) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2333) op(e2, e2) = all_8_13 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (2330) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2334) op(e3, e2) = e2 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2335) all_6_22 = e1 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (504), (540), (2335) are inconsistent by sub-proof % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #113. % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2336) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_22 = e0 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2304) gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2337) all_10_13 = e2 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (369), (2251), (2337) are inconsistent by % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #117. % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2338) all_10_21 = e2 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (2338) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2339) all_4_9 = e2 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2263), (2339) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2340) all_8_2 = e2 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (2339) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2341) ~ (all_4_14 = e2) % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2341) implies: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2342) ~ (all_4_14 = e2) % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (2339) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2343) op(e2, e3) = all_8_39 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2318) gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2344) all_6_16 = e4 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (2344) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2345) all_4_8 = e4 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2282), (2345) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2346) all_8_21 = e4 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (2345) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2347) all_10_13 = e4 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (2345) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2348) op(e4, e3) = all_8_30 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2324) gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2349) all_10_5 = e3 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2331), (2349) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2350) e3 = e2 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2350) implies: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2351) e3 = e2 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (2351) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2352) $false % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2352) is inconsistent. % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2353) all_10_8 = e3 | all_10_14 = e3 | all_10_22 = e3 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2336) gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2354) all_6_22 = e4 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (2354) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2355) all_4_14 = e4 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2355) implies: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2356) all_4_14 = e4 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (2356) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2357) all_10_22 = e4 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (2356) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2358) ~ (all_4_13 = e4) % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (590), (2356) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2359) op(e4, e2) = all_8_41 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2353) gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2360) all_10_8 = e3 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2065), (2360) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2361) e3 = e0 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (2361) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2362) $false % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2362) is inconsistent. % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2363) all_10_14 = e3 | all_10_22 = e3 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2363) gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2364) all_10_14 = e3 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (2364) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2365) all_4_13 = e3 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2365) implies: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366) all_4_13 = e3 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (2366) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2367) all_8_4 = e3 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2358), (2366) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2368) ~ (e4 = e3) % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (2366) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2369) op(e3, e2) = all_8_32 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_13, % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (2081), (2333) gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2370) all_8_13 = e0 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_12, % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (2209), (2332) gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371) all_8_12 = e1 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_39, % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12, e3, e2, simplifying with (2332), (2343) % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2372) all_8_12 = all_8_39 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_32, % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (2334), (2369) gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2373) all_8_32 = e2 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_41, % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (23), (2359) gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2374) all_8_41 = e1 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_30, % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (2133), (2348) gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2375) all_8_30 = e0 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2371), (2372) imply: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376) all_8_39 = e1 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2376) implies: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2377) all_8_39 = e1 % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2378) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) | (all_8_13 = % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2378) gives: % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2379) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2379) gives: % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2380) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2380) gives: % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2381) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2145), (2340), (2381) are inconsistent by % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #112. % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.15/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2382) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (2367), (2382) are inconsistent by sub-proof % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #215. % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2383) (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_8 = e4 & ~ (all_8_7 = e0) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_48 = all_8_65)) | (all_8_10 = e3 & % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (2213), (2248), (2274), (2278), (2383) are % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #130. % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2384) gives: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2385) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2385) gives: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2386) all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (2370), (2386) are inconsistent by sub-proof % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #111. % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2387) all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (2267), (2387) are inconsistent by sub-proof % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #213. % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2388) (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2388) gives: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2389) all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2389) implies: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2390) ~ (all_8_16 = e0) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2276), (2390) imply: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2391) $false % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2391) is inconsistent. % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2392) (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_51 = all_8_56)) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2392) gives: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2393) all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2393) implies: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2394) all_8_19 = e2 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2112), (2394) imply: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2395) e2 = e0 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (384), (2067), (2145), (2216), (2298), (2338), % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2347), (2395) are inconsistent by sub-proof #109. % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2396) all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2145), (2346), (2396) are inconsistent by % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #211. % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2397) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) | (all_8_35 = e1 & ~ (all_8_34 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_63 = all_8_68)) | (all_8_37 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_39 = e0 & ~ (all_8_38 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_53 = all_8_66)) | (all_8_41 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2397) gives: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2398) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2398) gives: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2399) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2085), (2275), (2399) are inconsistent by % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #108. % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2400) (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2400) gives: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2401) all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (2280), (2401) are inconsistent by sub-proof % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #208. % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2402) (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61)) | (all_8_32 = e1 & ~ (all_8_31 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_57 = all_8_62)) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2402) gives: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2403) all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2403) implies: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2404) all_8_30 = e1 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2375), (2404) imply: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2405) e1 = e0 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2229), (2405) imply: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2406) all_10_20 = e0 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (388), (609), (2186), (2215), (2245), (2406) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #106. % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2407) all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2215), (2373), (2407) are inconsistent by % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #105. % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2408) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) | (all_8_39 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2408) gives: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2409) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2409) gives: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2410) all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2410) implies: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2411) ~ (all_8_34 = e0) % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (618), (2411) imply: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2412) $false % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2412) is inconsistent. % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2413) all_8_37 = e0 & ~ (all_8_36 = e4) & ~ (all_8_48 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_65) % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2413) implies: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2414) all_8_37 = e0 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2270), (2414) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2415) e2 = e0 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (384), (2067), (2145), (2216), (2298), (2338), % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2347), (2415) are inconsistent by sub-proof #109. % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2416) (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (388), (609), (2186), (2215), (2229), % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2245), (2273), (2374), (2377), (2416) are % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #103. % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2417) all_10_22 = e3 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2357), (2417) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2418) e4 = e3 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (2418) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2419) $false % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2419) is inconsistent. % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2420) all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (504), (2106), (2261), (2342), (2420) are % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #100. % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2421) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (534), (2251), (2311), (2421) are % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #175. % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2422) all_6_7 = e3 | all_6_7 = e0 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (2068), (2314), (2422) are inconsistent by % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #136. % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2423) all_6_6 = e0 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (2089), (2423) are inconsistent by % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #237. % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2424) all_8_54 = e2 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2425) all_8_51 = e3 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (2425) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2426) all_4_11 = e3 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2426) implies: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2427) all_4_11 = e3 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (426), (2424) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2428) all_4_6 = e2 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2428) implies: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2429) all_4_6 = e2 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (2429) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2430) ~ (all_4_9 = e2) % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2430) implies: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2431) ~ (all_4_9 = e2) % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (2427) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2432) ~ (all_4_14 = e3) % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (2427) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2433) op(e3, e3) = all_8_12 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (142), (2429) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2434) op(e3, e3) = e2 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2435) all_6_21 = e1 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (2232), (2435) are inconsistent by % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #132. % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2436) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_21 = e0 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2437) all_6_17 = e1 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (2437) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2438) all_4_13 = e1 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (603), (2438) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2439) $false % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2439) is inconsistent. % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2440) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_17 = e0 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2441) all_10_20 = e2 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2229), (2441) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2442) e2 = e1 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2215), (2442) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2443) $false % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2443) is inconsistent. % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2444) all_10_21 = e2 | all_10_22 = e2 | all_10_23 = e2 | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e2 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2444) gives: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2445) all_10_21 = e2 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (2445) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2446) all_4_9 = e2 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2431), (2446) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2447) $false % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2447) is inconsistent. % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2448) ~ (all_10_21 = e2) % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2449) all_10_22 = e2 | all_10_23 = e2 | all_10_24 = e2 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2436) gives: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2450) all_6_21 = e4 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (2450) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2451) all_4_9 = e4 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2451) implies: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2452) all_4_9 = e4 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (2452) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2453) all_8_66 = e4 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (2452) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2454) ~ (all_4_8 = e4) % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2455) all_6_16 = e1 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (2455) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2456) all_4_8 = e1 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (2456) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2457) $false % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2457) is inconsistent. % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2458) ~ (all_6_16 = e1) % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2459) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2460) all_10_12 = e3 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2245), (2460) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2461) e3 = e2 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2461) implies: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2462) e3 = e2 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (2462) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2463) $false % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2463) is inconsistent. % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2464) all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e3 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2464) gives: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2465) all_10_13 = e3 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (2465) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2466) all_4_8 = e3 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2282), (2466) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2467) all_8_21 = e3 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (2466) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2468) ~ (all_4_13 = e3) % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2468) implies: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2469) ~ (all_4_13 = e3) % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (2466) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2470) op(e3, e3) = all_8_30 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (2466) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2471) op(e3, e1) = all_8_29 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (2466) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2472) op(e1, e3) = e3 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2449) gives: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2473) all_10_22 = e2 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (2473) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2474) all_4_14 = e2 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (2474) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2475) all_8_67 = e2 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (2474) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2476) ~ (all_4_13 = e2) % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2440) gives: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2477) all_6_17 = e4 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (2477) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2478) all_4_13 = e4 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2478) implies: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2479) all_4_13 = e4 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (449), (2479) imply: % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2480) all_8_62 = e4 % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_29, % 70.30/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (2194), (2471) gives: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2481) all_8_29 = e1 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_30, % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12, e3, e3, simplifying with (2433), (2470) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2482) all_8_12 = all_8_30 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_12, % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (2433), (2434) gives: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2483) all_8_12 = e2 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2482), (2483) imply: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2484) all_8_30 = e2 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2484) implies: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2485) all_8_30 = e2 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2486) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) | (all_8_13 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2486) gives: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2487) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (2111), (2123), (2213), (2248), (2249), % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2274), (2278), (2487) are inconsistent by % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #129. % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2488) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2488) gives: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2489) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2489) gives: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2490) all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2490) implies: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2491) ~ (all_8_12 = e2) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2483), (2491) imply: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2492) $false % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2492) is inconsistent. % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2493) all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (2267), (2493) are inconsistent by sub-proof % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #213. % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2494) (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2494) gives: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2495) all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2495) implies: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2496) ~ (all_8_53 = all_8_66) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2157), (2453), (2496) imply: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2497) $false % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2497) is inconsistent. % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2498) (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_51 = all_8_56)) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2498) gives: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2499) all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2499) implies: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2500) all_8_19 = e2 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2112), (2500) imply: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2501) e2 = e0 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (21), (22), (265), (609), (618), % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2060), (2111), (2112), (2118), (2120), (2123), % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2131), (2157), (2174), (2192), (2193), (2194), % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2208), (2213), (2215), (2216), (2217), (2221), % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2233), (2234), (2248), (2249), (2252), (2253), % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2262), (2433), (2434), (2453), (2470), (2471), % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2472), (2475), (2480), (2501), (function-axioms) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #99. % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2502) all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (2467), (2502) are inconsistent by sub-proof % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #98. % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2503) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) | (all_8_35 = e1 & ~ (all_8_34 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_63 = all_8_68)) | (all_8_37 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_39 = e0 & ~ (all_8_38 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_53 = all_8_66)) | (all_8_41 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2503) gives: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2504) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2504) gives: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2505) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2505) gives: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2506) all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2506) implies: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2507) ~ (all_8_57 = all_8_62) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2221), (2480), (2507) imply: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2508) $false % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2508) is inconsistent. % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2509) all_8_26 = e2 & ~ (all_8_25 = e0) & ~ (all_8_58 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2509) implies: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2510) ~ (all_8_58 = all_8_67) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2060), (2475), (2510) imply: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2511) $false % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2511) is inconsistent. % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2512) (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2512) gives: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2513) all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (2280), (2513) are inconsistent by sub-proof % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #208. % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2514) (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61)) | (all_8_32 = e1 & ~ (all_8_31 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_57 = all_8_62)) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2215), (2221), (2480), (2485), (2514) are % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #126. % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2515) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) | (all_8_39 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2515) gives: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2516) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2516) gives: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2517) all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68) % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2517) implies: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2518) ~ (all_8_34 = e0) % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (618), (2518) imply: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2519) $false % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2519) is inconsistent. % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2520) all_8_37 = e0 & ~ (all_8_36 = e4) & ~ (all_8_48 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_65) % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2520) implies: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2521) all_8_37 = e0 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2270), (2521) imply: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2522) e2 = e0 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (17), (21), (22), (265), (609), (618), % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2060), (2111), (2112), (2118), (2120), (2123), % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2131), (2157), (2174), (2192), (2193), (2194), % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2208), (2213), (2215), (2216), (2217), (2221), % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2233), (2234), (2248), (2249), (2252), (2253), % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2262), (2433), (2434), (2453), (2470), (2471), % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2472), (2475), (2480), (2522), (function-axioms) % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #99. % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2523) (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2523) gives: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2524) all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2524) implies: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2525) ~ (all_8_53 = all_8_66) % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2157), (2453), (2525) imply: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2526) $false % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2526) is inconsistent. % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2527) (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2527) gives: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2528) all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67) % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2528) implies: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2529) ~ (all_8_58 = all_8_67) % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2060), (2475), (2529) imply: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2530) $false % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2530) is inconsistent. % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2531) all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68) % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (388), (609), (2186), (2215), (2229), % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2245), (2273), (2531) are inconsistent by % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #104. % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2532) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (543), (2469), (2476), (2532) are % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #97. % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2533) all_10_23 = e2 | all_10_24 = e2 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2533) gives: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2534) all_10_23 = e2 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2257), (2534) imply: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2535) e3 = e2 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (2535) imply: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2536) $false % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2536) is inconsistent. % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2537) all_10_24 = e2 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2104), (2537) imply: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2538) e2 = e0 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2538) implies: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2539) e2 = e0 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2216), (2539) imply: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2540) $false % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2540) is inconsistent. % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2541) ~ (all_10_13 = e3) % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (2541) imply: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2542) ~ (all_4_8 = e3) % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (534), (2251), (2454), (2459), (2542) are % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #174. % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2543) all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (2105), (2260), (2431), (2543) are % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #96. % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2544) all_10_20 = e2 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2215), (2229), (2544) are inconsistent by % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #95. % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2545) ~ (all_10_20 = e1) % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (2545) imply: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2546) ~ (all_4_4 = e1) % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (357), (372), (388), (601), (2186), (2546) % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #92. % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2547) all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (529), (546), (2072), (2547) are % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #231. % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2548) all_6_3 = e3 | all_6_3 = e0 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (544), (2173), (2548) are inconsistent by % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #197. % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2549) ~ (all_10_7 = e1) % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (2549) imply: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2550) ~ (all_4_7 = e1) % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (185), (489), (491), (525), (529), (546), % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066), (2067), (2072), (2201), (2550) are % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #89. % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2551) all_10_17 = e1 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2155), (2551) imply: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2552) e4 = e1 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (2552) imply: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2553) $false % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2553) is inconsistent. % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | (2554) all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e3 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2554) gives: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (2555) all_10_17 = e3 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2155), (2555) imply: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (2556) e4 = e3 % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (2556) imply: % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | (2557) $false % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2557) is inconsistent. % 70.30/11.12 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (2558) all_10_18 = e3 | all_10_19 = e3 | all_10_24 = e3 % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2558) gives: % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2559) all_10_18 = e3 % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2064), (2559) imply: % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2560) e3 = e2 % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2560) implies: % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2561) e3 = e2 % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (2561) imply: % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2562) $false % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2562) is inconsistent. % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2563) all_10_19 = e3 | all_10_24 = e3 % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2563) gives: % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2564) all_10_19 = e3 % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (600), (2564) are inconsistent by sub-proof % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #217. % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2565) all_10_24 = e3 % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2104), (2565) imply: % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2566) e3 = e0 % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (2566) imply: % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2567) $false % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2567) is inconsistent. % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | (2568) all_10_18 = e4 | all_10_19 = e4 | all_10_24 = e4 % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (600), (2064), (2104), (2145), (2568) % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #88. % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.13 | | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | | End of split % 70.30/11.13 | | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | End of split % 70.30/11.13 | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.13 | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | (2569) all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0 % 70.30/11.13 | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | REF_CLOSE: (479), (517), (612), (2124), (2569) are % 70.30/11.13 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228. % 70.30/11.13 | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | End of split % 70.30/11.13 | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | End of split % 70.30/11.13 | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | Case 2: % 70.30/11.13 | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | (2570) all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 | % 70.30/11.13 | | | | | | | | | | | | | | | | all_10_21 = e0 % 70.30/11.13 | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | REF_CLOSE: (354), (369), (384), (400), (534), (2066), (2089), % 70.30/11.13 | | | | | | | | | | | | | | | | (2105), (2570) are inconsistent by sub-proof #86. % 70.30/11.13 | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | End of split % 70.30/11.13 | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | Case 2: % 70.30/11.13 | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | (2571) ~ (all_10_2 = e0) % 70.30/11.13 | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | REDUCE: (403), (2571) imply: % 70.30/11.13 | | | | | | | | | | | | | | | (2572) ~ (all_4_1 = e0) % 70.30/11.13 | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | BETA: splitting (331) gives: % 70.30/11.13 | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | Case 1: % 70.30/11.13 | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | (2573) all_10_1 = e0 % 70.30/11.13 | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (2573) imply: % 70.30/11.13 | | | | | | | | | | | | | | | | (2574) all_4_5 = e0 % 70.30/11.13 | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | REDUCE: (119), (2574) imply: % 70.30/11.13 | | | | | | | | | | | | | | | | (2575) ~ (all_4_0 = e0) % 70.30/11.13 | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | REF_CLOSE: (15), (94), (336), (357), (372), (388), (403), % 70.30/11.13 | | | | | | | | | | | | | | | | (419), (507), (532), (2076), (2087), (2091), % 70.30/11.13 | | | | | | | | | | | | | | | | (2093), (2572), (2575) are inconsistent by % 70.30/11.13 | | | | | | | | | | | | | | | | sub-proof #85. % 70.30/11.13 | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | Case 2: % 70.30/11.13 | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | (2576) all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 | % 70.30/11.13 | | | | | | | | | | | | | | | | all_10_21 = e0 % 70.30/11.13 | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | REF_CLOSE: (354), (369), (384), (400), (534), (2066), (2089), % 70.30/11.13 | | | | | | | | | | | | | | | | (2105), (2576) are inconsistent by sub-proof #86. % 70.30/11.13 | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | End of split % 70.30/11.13 | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | End of split % 70.30/11.13 | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | End of split % 70.30/11.13 | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | End of split % 70.30/11.13 | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | End of split % 70.30/11.13 | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | End of split % 70.30/11.13 | | | | | | | | | | % 70.30/11.13 | | | | | | | | | Case 2: % 70.30/11.13 | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | (2577) all_8_69 = e3 % 70.30/11.13 | | | | | | | | | | (2578) all_8_66 = e0 % 70.30/11.13 | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | COMBINE_EQS: (463), (2578) imply: % 70.30/11.13 | | | | | | | | | | (2579) all_4_9 = e0 % 70.30/11.13 | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | SIMP: (2579) implies: % 70.30/11.13 | | | | | | | | | | (2580) all_4_9 = e0 % 70.30/11.13 | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | COMBINE_EQS: (343), (2577) imply: % 70.30/11.13 | | | | | | | | | | (2581) all_4_24 = e3 % 70.30/11.13 | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | SIMP: (2581) implies: % 70.30/11.13 | | | | | | | | | | (2582) all_4_24 = e3 % 70.30/11.13 | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | COMBINE_EQS: (514), (2582) imply: % 70.30/11.13 | | | | | | | | | | (2583) all_10_24 = e3 % 70.30/11.13 | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | COMBINE_EQS: (354), (2580) imply: % 70.30/11.13 | | | | | | | | | | (2584) all_10_21 = e0 % 70.30/11.13 | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | REDUCE: (97), (2580) imply: % 70.30/11.13 | | | | | | | | | | (2585) ~ (all_4_4 = e0) % 70.30/11.13 | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | REDUCE: (71), (2580) imply: % 70.30/11.13 | | | | | | | | | | (2586) ~ (all_4_14 = e0) % 70.30/11.13 | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | SIMP: (2586) implies: % 70.30/11.13 | | | | | | | | | | (2587) ~ (all_4_14 = e0) % 70.30/11.13 | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | REDUCE: (36), (2582) imply: % 70.30/11.13 | | | | | | | | | | (2588) ~ (all_4_19 = e3) % 70.30/11.13 | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | REDUCE: (32), (2582) imply: % 70.30/11.13 | | | | | | | | | | (2589) ~ (all_4_20 = e3) % 70.30/11.13 | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | REDUCE: (29), (2582) imply: % 70.30/11.13 | | | | | | | | | | (2590) ~ (all_4_21 = e3) % 70.30/11.13 | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | REDUCE: (589), (2580) imply: % 70.30/11.13 | | | | | | | | | | (2591) op(e0, e0) = all_8_38 % 70.30/11.13 | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | REDUCE: (124), (2582) imply: % 70.30/11.13 | | | | | | | | | | (2592) op(e0, e0) = e3 % 70.30/11.13 | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | BETA: splitting (332) gives: % 70.30/11.13 | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | Case 1: % 70.30/11.13 | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | (2593) all_10_1 = e1 % 70.30/11.13 | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | COMBINE_EQS: (416), (2593) imply: % 70.30/11.13 | | | | | | | | | | | (2594) all_4_5 = e1 % 70.30/11.13 | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | REDUCE: (533), (2594) imply: % 70.30/11.13 | | | | | | | | | | | (2595) $false % 70.30/11.13 | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | CLOSE: (2595) is inconsistent. % 70.30/11.13 | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | Case 2: % 70.30/11.13 | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | (2596) all_10_3 = e1 | all_10_7 = e1 | all_10_13 = e1 | % 70.30/11.13 | | | | | | | | | | | all_10_21 = e1 % 70.30/11.13 | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | BETA: splitting (2596) gives: % 70.30/11.13 | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | Case 1: % 70.30/11.13 | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | (2597) all_10_3 = e1 % 70.30/11.13 | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | COMBINE_EQS: (400), (2597) imply: % 70.30/11.13 | | | | | | | | | | | | (2598) all_4_6 = e1 % 70.30/11.13 | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | REDUCE: (624), (2598) imply: % 70.30/11.13 | | | | | | | | | | | | (2599) $false % 70.30/11.13 | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | CLOSE: (2599) is inconsistent. % 70.30/11.13 | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | Case 2: % 70.30/11.13 | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | (2600) all_10_7 = e1 | all_10_13 = e1 | all_10_21 = e1 % 70.30/11.13 | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | BETA: splitting (2600) gives: % 70.30/11.13 | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | Case 1: % 70.30/11.13 | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | (2601) all_10_7 = e1 % 70.30/11.13 | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | COMBINE_EQS: (384), (2601) imply: % 70.30/11.13 | | | | | | | | | | | | | (2602) all_4_7 = e1 % 70.30/11.13 | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | REDUCE: (80), (2602) imply: % 70.30/11.13 | | | | | | | | | | | | | (2603) ~ (all_4_8 = e1) % 70.30/11.13 | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | REDUCE: (77), (2602) imply: % 70.30/11.13 | | | | | | | | | | | | | (2604) ~ (all_4_17 = e1) % 70.30/11.13 | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | SIMP: (2604) implies: % 70.30/11.13 | | | | | | | | | | | | | (2605) ~ (all_4_17 = e1) % 70.30/11.13 | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | REDUCE: (525), (2602) imply: % 70.30/11.13 | | | | | | | | | | | | | (2606) ~ (e3 = e1) % 70.30/11.13 | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | REDUCE: (571), (2602) imply: % 70.30/11.13 | | | | | | | | | | | | | (2607) op(e1, e3) = all_8_21 % 70.30/11.13 | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | REDUCE: (137), (2602) imply: % 70.30/11.13 | | | | | | | | | | | | | (2608) op(e2, e3) = e1 % 70.30/11.13 | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | BETA: splitting (183) gives: % 70.30/11.13 | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | Case 1: % 70.30/11.13 | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | (2609) all_6_13 = e1 % 70.30/11.13 | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | COMBINE_EQS: (491), (2609) imply: % 70.30/11.13 | | | | | | | | | | | | | | (2610) all_4_17 = e1 % 70.30/11.13 | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | REDUCE: (2605), (2610) imply: % 70.30/11.13 | | | | | | | | | | | | | | (2611) $false % 70.30/11.13 | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | CLOSE: (2611) is inconsistent. % 70.30/11.13 | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | Case 2: % 70.30/11.13 | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | (2612) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | % 70.30/11.13 | | | | | | | | | | | | | | all_6_13 = e0 % 70.30/11.13 | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | BETA: splitting (2612) gives: % 70.30/11.13 | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | Case 1: % 70.30/11.13 | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | (2613) all_6_13 = e4 % 70.30/11.13 | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | COMBINE_EQS: (491), (2613) imply: % 70.30/11.13 | | | | | | | | | | | | | | | (2614) all_4_17 = e4 % 70.30/11.13 | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | COMBINE_EQS: (378), (2614) imply: % 70.30/11.13 | | | | | | | | | | | | | | | (2615) all_10_11 = e4 % 70.30/11.13 | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | REDUCE: (45), (2614) imply: % 70.30/11.13 | | | | | | | | | | | | | | | (2616) ~ (all_4_16 = e4) % 70.30/11.13 | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | REDUCE: (40), (2614) imply: % 70.30/11.13 | | | | | | | | | | | | | | | (2617) ~ (all_4_19 = e4) % 70.30/11.13 | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | SIMP: (2617) implies: % 70.30/11.13 | | | | | | | | | | | | | | | (2618) ~ (all_4_19 = e4) % 70.30/11.13 | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | REDUCE: (573), (2614) imply: % 70.30/11.13 | | | | | | | | | | | | | | | (2619) op(e4, e2) = all_8_23 % 70.30/11.13 | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | REDUCE: (574), (2614) imply: % 70.30/11.13 | | | | | | | | | | | | | | | (2620) op(e4, e1) = all_8_24 % 70.30/11.13 | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | REDUCE: (135), (2614) imply: % 70.30/11.13 | | | | | | | | | | | | | | | (2621) op(e2, e1) = e4 % 70.30/11.13 | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_38, % 70.30/11.13 | | | | | | | | | | | | | | | e0, e0, simplifying with (2591), (2592) gives: % 70.30/11.13 | | | | | | | | | | | | | | | (2622) all_8_38 = e3 % 70.30/11.13 | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_8, % 70.30/11.13 | | | | | | | | | | | | | | | all_8_21, e3, e1, simplifying with (132), (2607) % 70.30/11.13 | | | | | | | | | | | | | | | gives: % 70.30/11.13 | | | | | | | | | | | | | | | (2623) all_8_21 = all_4_8 % 70.30/11.13 | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_15, % 70.30/11.13 | | | | | | | | | | | | | | | all_8_24, e1, e4, simplifying with (145), (2620) % 70.30/11.13 | | | | | | | | | | | | | | | gives: % 70.30/11.13 | | | | | | | | | | | | | | | (2624) all_8_24 = all_4_15 % 70.30/11.13 | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_23, % 70.30/11.13 | | | | | | | | | | | | | | | e2, e4, simplifying with (23), (2619) gives: % 70.30/11.13 | | | | | | | | | | | | | | | (2625) all_8_23 = e1 % 70.30/11.13 | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | BETA: splitting (276) gives: % 70.30/11.13 | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | Case 1: % 70.30/11.13 | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | (2626) ~ (all_8_49 = e0) % 70.30/11.13 | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | REDUCE: (421), (2626) imply: % 70.30/11.13 | | | | | | | | | | | | | | | | (2627) ~ (all_4_0 = e0) % 70.30/11.13 | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | BETA: splitting (194) gives: % 70.30/11.13 | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | Case 1: % 70.30/11.13 | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | (2628) all_6_0 = e1 % 70.30/11.13 | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | REF_CLOSE: (479), (518), (2628) are inconsistent by sub-proof % 70.30/11.13 | | | | | | | | | | | | | | | | | #268. % 70.30/11.13 | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | Case 2: % 70.30/11.13 | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | (2629) all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | % 70.30/11.13 | | | | | | | | | | | | | | | | | all_6_0 = e0 % 70.30/11.13 | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | BETA: splitting (2629) gives: % 70.30/11.13 | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.13 | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | (2630) all_6_0 = e4 % 70.30/11.13 | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (2630) imply: % 70.30/11.13 | | | | | | | | | | | | | | | | | | (2631) all_4_0 = e4 % 70.30/11.13 | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | SIMP: (2631) implies: % 70.30/11.13 | | | | | | | | | | | | | | | | | | (2632) all_4_0 = e4 % 70.30/11.13 | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (419), (2632) imply: % 70.30/11.13 | | | | | | | | | | | | | | | | | | (2633) all_10_0 = e4 % 70.30/11.13 | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | REDUCE: (123), (2632) imply: % 70.30/11.13 | | | | | | | | | | | | | | | | | | (2634) ~ (all_4_1 = e4) % 70.30/11.13 | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | SIMP: (2634) implies: % 70.30/11.13 | | | | | | | | | | | | | | | | | | (2635) ~ (all_4_1 = e4) % 70.30/11.13 | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | REDUCE: (121), (2632) imply: % 70.30/11.13 | | | | | | | | | | | | | | | | | | (2636) ~ (all_4_3 = e4) % 70.30/11.13 | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | SIMP: (2636) implies: % 70.30/11.13 | | | | | | | | | | | | | | | | | | (2637) ~ (all_4_3 = e4) % 70.30/11.13 | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | REDUCE: (120), (2632) imply: % 70.30/11.13 | | | | | | | | | | | | | | | | | | (2638) ~ (all_4_4 = e4) % 70.30/11.13 | | | | | | | | | | | | | | | | | | % 70.30/11.13 | | | | | | | | | | | | | | | | | | SIMP: (2638) implies: % 70.30/11.14 | | | | | | | | | | | | | | | | | | (2639) ~ (all_4_4 = e4) % 70.30/11.14 | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | REDUCE: (119), (2632) imply: % 70.30/11.14 | | | | | | | | | | | | | | | | | | (2640) ~ (all_4_5 = e4) % 70.30/11.14 | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | SIMP: (2640) implies: % 70.30/11.14 | | | | | | | | | | | | | | | | | | (2641) ~ (all_4_5 = e4) % 70.30/11.14 | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | REDUCE: (117), (2632) imply: % 70.30/11.14 | | | | | | | | | | | | | | | | | | (2642) ~ (all_4_15 = e4) % 70.30/11.14 | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | SIMP: (2642) implies: % 70.30/11.14 | | | | | | | | | | | | | | | | | | (2643) ~ (all_4_15 = e4) % 70.30/11.14 | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | REDUCE: (116), (2632) imply: % 70.30/11.14 | | | | | | | | | | | | | | | | | | (2644) ~ (all_4_20 = e4) % 70.30/11.14 | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | SIMP: (2644) implies: % 70.30/11.14 | | | | | | | | | | | | | | | | | | (2645) ~ (all_4_20 = e4) % 70.30/11.14 | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives: % 70.30/11.14 | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | (2646) all_6_15 = e1 % 70.30/11.14 | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (601), (2646) are inconsistent by sub-proof % 70.30/11.14 | | | | | | | | | | | | | | | | | | | #267. % 70.30/11.14 | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | (2647) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | all_6_15 = e0 % 70.30/11.14 | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | BETA: splitting (2647) gives: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | (2648) all_6_15 = e4 % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (2637), (2648) are inconsistent by % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | sub-proof #266. % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | (2649) ~ (all_6_15 = e4) % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | (2650) all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0 % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2650) gives: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | (2651) all_6_15 = e2 % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (2651) imply: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | (2652) all_4_3 = e2 % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | SIMP: (2652) implies: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | (2653) all_4_3 = e2 % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (2653) imply: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | (2654) ~ (all_4_1 = e2) % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (2653) imply: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | (2655) ~ (all_4_4 = e2) % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | SIMP: (2655) implies: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | (2656) ~ (all_4_4 = e2) % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (2653) imply: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | (2657) ~ (all_4_13 = e2) % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | SIMP: (2657) implies: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | (2658) ~ (all_4_13 = e2) % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2637), (2653) imply: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | (2659) ~ (e4 = e2) % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | SIMP: (2659) implies: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | (2660) ~ (e4 = e2) % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (2653) imply: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | (2661) op(e2, e4) = all_8_28 % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (2653) imply: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | (2662) op(e2, e1) = all_8_27 % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (2653) imply: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | (2663) op(e1, e4) = e2 % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | (2664) all_6_20 = e1 % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (2664) imply: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | (2665) all_4_4 = e1 % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (2665) imply: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | (2666) all_10_20 = e1 % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (2665) imply: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | (2667) ~ (all_4_1 = e1) % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (2665) imply: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | (2668) ~ (all_4_19 = e1) % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2668) implies: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | (2669) ~ (all_4_19 = e1) % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2639), (2665) imply: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | (2670) ~ (e4 = e1) % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (2665) imply: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | (2671) op(e1, e4) = all_8_37 % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (2665) imply: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | (2672) op(e0, e4) = e1 % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | (2673) all_6_23 = e1 % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (2673) imply: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | (2674) all_4_19 = e1 % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2669), (2674) imply: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | (2675) $false % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2675) is inconsistent. % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | (2676) ~ (all_6_23 = e1) % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | (2677) all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e2 | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | all_6_23 = e0 % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | | (2678) all_6_4 = e1 % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (604), (2678) are inconsistent by sub-proof % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | | #84. % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | | % 70.30/11.14 | | | | | | | | | | | | | | | | | | | | | | | | (2679) ~ (all_6_4 = e1) % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | (2680) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | all_6_4 = e0 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | (2681) all_6_5 = e1 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (480), (2667), (2681) are inconsistent by % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #250. % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | (2682) ~ (all_6_5 = e1) % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | (2683) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | all_6_5 = e0 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2683) gives: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (2684) all_6_5 = e4 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (480), (2635), (2684) are inconsistent by % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #260. % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (2685) all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2677) gives: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2686) all_6_23 = e4 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (2686) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2687) all_4_19 = e4 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2618), (2687) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2688) $false % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2688) is inconsistent. % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2689) all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e0 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2680) gives: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2690) all_6_4 = e4 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (2645), (2690) are inconsistent by % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #83. % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2691) all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e0 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2691) gives: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2692) all_6_4 = e2 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (2073), (2692) are inconsistent by % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #82. % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2693) all_6_4 = e3 | all_6_4 = e0 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2685) gives: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2694) all_6_5 = e2 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (480), (2654), (2694) are inconsistent by % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #259. % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2695) all_6_5 = e3 | all_6_5 = e0 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2695) gives: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2696) all_6_5 = e3 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (480), (519), (2696) are inconsistent by sub-proof % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #258. % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2697) all_6_5 = e0 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (480), (2697) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2698) all_4_1 = e0 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2698) implies: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2699) all_4_1 = e0 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (622), (2699) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2700) all_8_19 = e0 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (2699) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2701) all_10_2 = e0 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (2699) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2702) ~ (all_4_11 = e0) % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (519), (2699) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2703) ~ (e3 = e0) % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (2699) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2704) op(e0, e4) = all_8_10 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (315) gives: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2705) all_10_9 = e1 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (2705) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2706) all_4_15 = e1 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (542), (2706) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2707) $false % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2707) is inconsistent. % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2708) all_10_10 = e1 | all_10_11 = e1 | all_10_15 = e1 | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e1 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2708) gives: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2709) all_10_10 = e1 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (2709) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2710) all_4_16 = e1 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2710) implies: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2711) all_4_16 = e1 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (2711) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2712) ~ (all_4_21 = e1) % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (2711) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2713) op(e1, e1) = all_8_15 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (2711) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2714) op(e3, e1) = e1 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2715) all_10_24 = e0 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (2583), (2715) are inconsistent by sub-proof % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #81. % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2716) (all_10_16 = e0 | all_10_17 = e0 | all_10_18 = e0 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e0) & (all_10_20 = e0 | all_10_21 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 | all_10_22 = e0 | all_10_23 = e0) % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2716) implies: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2717) all_10_16 = e0 | all_10_17 = e0 | all_10_18 = e0 | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e0 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2717) gives: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2718) all_10_16 = e0 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (2718) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2719) all_4_20 = e0 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (2719) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2720) ~ (all_4_5 = e0) % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (2719) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2721) ~ (all_4_21 = e0) % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2721) implies: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2722) ~ (all_4_21 = e0) % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (557), (2719) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2723) op(e0, e4) = all_8_7 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (558), (2719) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2724) op(e0, e0) = all_8_8 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (144), (2719) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2725) op(e4, e0) = e0 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2726) all_10_9 = e3 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (2726) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2727) all_4_15 = e3 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2624), (2727) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2728) all_8_24 = e3 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (2727) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2729) ~ (all_4_5 = e3) % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (2727) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2730) ~ (all_4_19 = e3) % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (556), (2727) imply: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2731) op(e3, e1) = all_8_6 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2732) all_6_1 = e1 % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (533), (2732) are inconsistent by sub-proof % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #223. % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2733) ~ (all_6_1 = e1) % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2734) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_1 = e0 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2735) all_6_9 = e1 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (2735) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2736) all_4_21 = e1 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (605), (2736) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2737) $false % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2737) is inconsistent. % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2738) ~ (all_6_9 = e1) % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2739) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_9 = e0 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2740) all_10_1 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (2740) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2741) all_4_5 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2641), (2741) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2742) $false % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2742) is inconsistent. % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2743) ~ (all_10_1 = e4) % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2744) all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2744) gives: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2745) all_10_3 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (2745) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2746) all_4_6 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (614), (2746) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2747) $false % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2747) is inconsistent. % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2748) all_10_7 = e4 | all_10_13 = e4 | all_10_21 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2748) gives: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2749) all_10_7 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (2601), (2749) are inconsistent by sub-proof % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #139. % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2750) all_10_13 = e4 | all_10_21 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2751) all_10_0 = e2 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2633), (2751) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2752) e4 = e2 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2660), (2752) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2753) $false % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2753) is inconsistent. % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2754) all_10_1 = e2 | all_10_4 = e2 | all_10_9 = e2 | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e2 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2689) gives: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2755) all_6_23 = e2 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (2755) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2756) all_4_19 = e2 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (2756) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2757) all_10_23 = e2 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (2756) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2758) op(e2, e1) = all_8_43 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2739) gives: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2759) all_6_9 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (2759) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2760) all_4_21 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (2760) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2761) all_10_17 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (2760) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2762) op(e4, e3) = all_8_16 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (2760) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2763) op(e4, e0) = all_8_17 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2734) gives: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2764) all_6_1 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (2641), (2764) are inconsistent by % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #221. % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2765) ~ (all_6_1 = e4) % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2766) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767) all_10_20 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (2666), (2767) are inconsistent by sub-proof % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #167. % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2768) all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2768) gives: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2769) all_10_21 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2584), (2769) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2770) e4 = e0 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (2770) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2771) $false % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2771) is inconsistent. % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2772) all_10_22 = e4 | all_10_23 = e4 | all_10_24 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2754) gives: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2773) all_10_1 = e2 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (2773) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2774) all_4_5 = e2 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (2774) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2775) ~ (all_4_6 = e2) % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2775) implies: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2776) ~ (all_4_6 = e2) % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (2774) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2777) ~ (all_4_8 = e2) % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2777) implies: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2778) ~ (all_4_8 = e2) % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (533), (2774) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2779) ~ (e2 = e1) % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2720), (2774) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2780) ~ (e2 = e0) % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (551), (2774) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2781) op(e2, e4) = all_8_1 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (2774) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2782) op(e2, e3) = all_8_2 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (2774) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2783) op(e4, e3) = e2 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2772) gives: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2784) all_10_22 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (2784) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2785) all_4_14 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2785) implies: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2786) all_4_14 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (2786) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2787) ~ (all_4_11 = e4) % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (590), (2786) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2788) op(e4, e2) = all_8_41 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (591), (2786) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2789) op(e4, e0) = all_8_40 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2790) all_6_17 = e1 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (2790) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2791) all_4_13 = e1 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (603), (2791) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2792) $false % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2792) is inconsistent. % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2793) ~ (all_6_17 = e1) % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2794) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_17 = e0 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2795) all_10_2 = e2 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2701), (2795) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2796) e2 = e0 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2780), (2796) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2797) $false % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2797) is inconsistent. % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2798) all_10_3 = e2 | all_10_5 = e2 | all_10_10 = e2 | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17 = e2 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2798) gives: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2799) all_10_3 = e2 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (2799) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2800) all_4_6 = e2 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2776), (2800) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2801) $false % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2801) is inconsistent. % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2802) all_10_5 = e2 | all_10_10 = e2 | all_10_17 = e2 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2750) gives: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2803) all_10_13 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (2803) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2804) all_4_8 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2804) implies: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2805) all_4_8 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2623), (2805) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2806) all_8_21 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (2805) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2807) ~ (all_4_13 = e4) % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2807) implies: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2808) ~ (all_4_13 = e4) % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (2805) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2809) op(e4, e3) = all_8_30 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2794) gives: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2810) all_6_17 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (2810) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2811) all_4_13 = e4 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2808), (2811) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2812) $false % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2812) is inconsistent. % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2813) ~ (all_6_17 = e4) % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2814) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2814) gives: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2815) all_6_17 = e2 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (2815) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2816) all_4_13 = e2 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2658), (2816) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2817) $false % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2817) is inconsistent. % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2818) all_6_17 = e3 | all_6_17 = e0 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2802) gives: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2819) all_10_5 = e2 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (2819) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2820) all_4_11 = e2 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2820) implies: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2821) all_4_11 = e2 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (2821) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2822) op(e2, e2) = all_8_13 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (2821) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2823) op(e3, e2) = e2 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2818) gives: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2824) all_6_17 = e3 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (2824) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2825) all_4_13 = e3 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (2825) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2826) all_8_4 = e3 % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2808), (2825) imply: % 70.52/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2827) ~ (e4 = e3) % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (2825) imply: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2828) op(e3, e2) = all_8_32 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (2825) imply: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2829) op(e3, e1) = all_8_31 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_8, % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (2592), (2724) gives: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2830) all_8_8 = e3 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_10, % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_7, e4, e0, simplifying with (2704), (2723) % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2831) all_8_7 = all_8_10 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_7, % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e0, simplifying with (2672), (2723) gives: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2832) all_8_7 = e1 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_15, % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (21), (2713) gives: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2833) all_8_15 = e0 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_37, % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e1, simplifying with (2663), (2671) gives: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2834) all_8_37 = e2 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_27, % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (2621), (2662) gives: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2835) all_8_27 = e4 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_43, % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27, e1, e2, simplifying with (2662), (2758) % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2836) all_8_27 = all_8_43 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_13, % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (2081), (2822) gives: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2837) all_8_13 = e0 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_2, % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (2608), (2782) gives: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2838) all_8_2 = e1 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_1, % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (22), (2781) gives: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2839) all_8_1 = e3 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_28, % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, e4, e2, simplifying with (2661), (2781) % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2840) all_8_1 = all_8_28 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_31, % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_6, e1, e3, simplifying with (2731), (2829) % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2841) all_8_6 = all_8_31 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_6, % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (2714), (2731) gives: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2842) all_8_6 = e1 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_32, % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (2823), (2828) gives: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2843) all_8_32 = e2 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_40, % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17, e0, e4, simplifying with (2763), (2789) % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2844) all_8_17 = all_8_40 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_17, % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e4, simplifying with (2725), (2763) gives: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2845) all_8_17 = e0 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_41, % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (23), (2788) gives: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2846) all_8_41 = e1 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_30, % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16, e3, e4, simplifying with (2762), (2809) % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2847) all_8_16 = all_8_30 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_16, % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (2762), (2783) gives: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2848) all_8_16 = e2 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2839), (2840) imply: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2849) all_8_28 = e3 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2841), (2842) imply: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2850) all_8_31 = e1 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2831), (2832) imply: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2851) all_8_10 = e1 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2851) implies: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2852) all_8_10 = e1 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2847), (2848) imply: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2853) all_8_30 = e2 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2853) implies: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2854) all_8_30 = e2 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2844), (2845) imply: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2855) all_8_40 = e0 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2835), (2836) imply: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2856) all_8_43 = e4 % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2857) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) | (all_8_13 = % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2857) gives: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.52/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2858) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2858) gives: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2859) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2859) gives: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2860) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (2838), (2860) are inconsistent by sub-proof % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #216. % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2861) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55) % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (2826), (2861) are inconsistent by sub-proof % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #215. % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2862) (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_8 = e4 & ~ (all_8_7 = e0) % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_48 = all_8_65)) | (all_8_10 = e3 & % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2862) gives: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2863) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60) % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (2842), (2863) are inconsistent by sub-proof % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #214. % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2864) (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2864) gives: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2865) all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65) % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2865) implies: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2866) all_8_8 = e4 % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2830), (2866) imply: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2867) e4 = e3 % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2867) implies: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2868) e4 = e3 % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (2868) imply: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2869) $false % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2869) is inconsistent. % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2870) all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (2852), (2870) are inconsistent by sub-proof % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #80. % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2871) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2871) gives: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2872) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2872) gives: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2873) all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (2837), (2873) are inconsistent by sub-proof % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #111. % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2874) all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (2833), (2874) are inconsistent by sub-proof % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #213. % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2875) (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2875) gives: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2876) all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (2845), (2876) are inconsistent by sub-proof % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #212. % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2877) (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 = % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_51 = all_8_56)) % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2877) gives: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2878) all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55) % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2700), (2780), (2878) are inconsistent by % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #79. % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2879) all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2660), (2806), (2879) are inconsistent by % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #211. % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2880) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) | (all_8_35 = e1 & ~ (all_8_34 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_63 = all_8_68)) | (all_8_37 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_39 = e0 & ~ (all_8_38 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_53 = all_8_66)) | (all_8_41 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2880) gives: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2881) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2881) gives: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2882) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (2085), (2728), (2882) are inconsistent by % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #78. % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2883) (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2883) gives: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2884) all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (2849), (2884) are inconsistent by sub-proof % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #208. % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2885) (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61)) | (all_8_32 = e1 & ~ (all_8_31 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_57 = all_8_62)) % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2885) gives: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2886) all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2779), (2854), (2886) are inconsistent by % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #207. % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2887) all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2887) implies: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2888) all_8_32 = e1 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2843), (2888) imply: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2889) e2 = e1 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2779), (2889) imply: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2890) $false % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2890) is inconsistent. % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2891) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) | (all_8_39 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2891) gives: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2892) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (618), (2780), (2834), (2892) are inconsistent by % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #125. % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2893) (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (609), (2622), (2846), (2856), (2893) are % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #204. % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2894) all_6_17 = e0 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (2894) imply: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2895) all_4_13 = e0 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (543), (2895) imply: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2896) $false % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2896) is inconsistent. % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2897) all_10_10 = e2 | all_10_17 = e2 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2897) gives: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2898) all_10_10 = e2 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2709), (2779), (2898) are inconsistent by % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #156. % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2899) all_10_17 = e2 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2761), (2899) imply: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2900) e4 = e2 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2660), (2900) imply: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2901) $false % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2901) is inconsistent. % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2902) all_10_21 = e4 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2584), (2902) imply: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2903) e4 = e0 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2903) implies: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2904) e4 = e0 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (2904) imply: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2905) $false % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2905) is inconsistent. % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2906) all_10_23 = e4 | all_10_24 = e4 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2906) gives: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2907) all_10_23 = e4 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2757), (2907) imply: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2908) e4 = e2 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2660), (2908) imply: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2909) $false % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2909) is inconsistent. % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2910) all_10_24 = e4 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2583), (2910) imply: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2911) e4 = e3 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (2911) imply: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2912) $false % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2912) is inconsistent. % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2913) ~ (all_10_1 = e2) % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (416), (2913) imply: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2914) ~ (all_4_5 = e2) % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (2720), (2729), (2766), (2914) are % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #77. % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2915) all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e0 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (2074), (2590), (2722), (2915) are % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #120. % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2916) all_6_23 = e3 | all_6_23 = e0 % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (548), (2588), (2916) are inconsistent by % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #75. % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2917) ~ (all_10_9 = e3) % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (409), (2917) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2918) ~ (all_4_15 = e3) % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2919) all_6_3 = e1 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (542), (2919) are inconsistent by sub-proof % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #219. % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2920) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e0 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (475), (506), (544), (548), (2588), (2643), % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2689), (2918), (2920) are inconsistent by % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #73. % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2921) ~ (all_10_16 = e0) % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (2921) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2922) ~ (all_4_20 = e0) % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (2589), (2693), (2922) are inconsistent by % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #71. % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2923) all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2923) gives: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2924) all_10_11 = e1 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (2615), (2924) are inconsistent by sub-proof % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #153. % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2925) all_10_15 = e1 | all_10_23 = e1 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2925) gives: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2926) all_10_15 = e1 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (363), (609), (2926) are inconsistent by sub-proof % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #70. % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2927) all_10_23 = e1 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (515), (2669), (2927) are inconsistent by % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #69. % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | (2928) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | all_6_20 = e0 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (523), (2585), (2639), (2656), (2928) are % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #261. % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | (2929) all_6_15 = e3 | all_6_15 = e0 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (521), (532), (2929) are inconsistent by % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | sub-proof #229. % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.18 | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | (2930) all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0 % 70.61/11.18 | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | REF_CLOSE: (479), (517), (612), (2627), (2930) are % 70.61/11.18 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228. % 70.61/11.18 | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | End of split % 70.61/11.18 | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | Case 2: % 70.61/11.18 | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | (2931) all_8_49 = e0 % 70.61/11.18 | | | | | | | | | | | | | | | | (2932) all_8_48 = e4 % 70.61/11.18 | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (2932) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | (2933) all_4_20 = e4 % 70.61/11.18 | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | SIMP: (2933) implies: % 70.61/11.18 | | | | | | | | | | | | | | | | (2934) all_4_20 = e4 % 70.61/11.18 | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (421), (2931) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | (2935) all_4_0 = e0 % 70.61/11.18 | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (2934) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | (2936) all_10_16 = e4 % 70.61/11.18 | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | COMBINE_EQS: (419), (2935) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | (2937) all_10_0 = e0 % 70.61/11.18 | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | REDUCE: (121), (2935) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | (2938) ~ (all_4_3 = e0) % 70.61/11.18 | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | REDUCE: (120), (2935) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | (2939) ~ (all_4_4 = e0) % 70.61/11.18 | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | REDUCE: (117), (2935) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | (2940) ~ (all_4_15 = e0) % 70.61/11.18 | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | REDUCE: (116), (2934), (2935) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | (2941) ~ (e4 = e0) % 70.61/11.18 | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | REDUCE: (517), (2935) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | (2942) ~ (e3 = e0) % 70.61/11.18 | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | REDUCE: (612), (2935) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | (2943) ~ (e2 = e0) % 70.61/11.18 | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | SIMP: (2943) implies: % 70.61/11.18 | | | | | | | | | | | | | | | | (2944) ~ (e2 = e0) % 70.61/11.18 | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | REDUCE: (87), (2934) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | (2945) ~ (all_4_5 = e4) % 70.61/11.18 | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | REDUCE: (46), (2934) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | (2946) ~ (all_4_15 = e4) % 70.61/11.18 | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | REDUCE: (35), (2934) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | (2947) ~ (all_4_21 = e4) % 70.61/11.18 | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | SIMP: (2947) implies: % 70.61/11.18 | | | | | | | | | | | | | | | | (2948) ~ (all_4_21 = e4) % 70.61/11.18 | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | REDUCE: (2073), (2934) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | (2949) ~ (e4 = e2) % 70.61/11.18 | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | REDUCE: (557), (2934) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | (2950) op(e4, e4) = all_8_7 % 70.61/11.18 | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | REDUCE: (148), (2935) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | (2951) op(e4, e4) = e0 % 70.61/11.18 | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | BETA: splitting (304) gives: % 70.61/11.18 | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | Case 1: % 70.61/11.18 | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | (2952) all_10_24 = e0 % 70.61/11.18 | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (2583), (2952) are inconsistent by sub-proof % 70.61/11.18 | | | | | | | | | | | | | | | | | #81. % 70.61/11.18 | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | Case 2: % 70.61/11.18 | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | (2953) (all_10_16 = e0 | all_10_17 = e0 | all_10_18 = e0 % 70.61/11.18 | | | | | | | | | | | | | | | | | | all_10_19 = e0) & (all_10_20 = e0 | all_10_21 % 70.61/11.18 | | | | | | | | | | | | | | | | | = e0 | all_10_22 = e0 | all_10_23 = e0) % 70.61/11.18 | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | ALPHA: (2953) implies: % 70.61/11.18 | | | | | | | | | | | | | | | | | (2954) all_10_16 = e0 | all_10_17 = e0 | all_10_18 = e0 | % 70.61/11.18 | | | | | | | | | | | | | | | | | all_10_19 = e0 % 70.61/11.18 | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | BETA: splitting (2954) gives: % 70.61/11.18 | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.18 | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | (2955) all_10_16 = e0 % 70.61/11.18 | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2936), (2955) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | | | (2956) e4 = e0 % 70.61/11.18 | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | REDUCE: (18), (2956) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | | | (2957) $false % 70.61/11.18 | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | CLOSE: (2957) is inconsistent. % 70.61/11.18 | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.18 | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | (2958) all_10_17 = e0 | all_10_18 = e0 | all_10_19 = e0 % 70.61/11.18 | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | BETA: splitting (2958) gives: % 70.61/11.18 | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | (2959) all_10_17 = e0 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (2959) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | (2960) all_4_21 = e0 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (2960) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | (2961) all_8_53 = e0 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | REDUCE: (109), (2960) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | (2962) ~ (all_4_1 = e0) % 70.61/11.18 | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | (2963) all_10_1 = e4 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (2963) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | (2964) all_4_5 = e4 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | REDUCE: (2945), (2964) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | (2965) $false % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | CLOSE: (2965) is inconsistent. % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | (2966) all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | all_10_21 = e4 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2966) gives: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | (2967) all_10_3 = e4 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (2967) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | (2968) all_4_6 = e4 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | REDUCE: (614), (2968) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | (2969) $false % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2969) is inconsistent. % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | (2970) all_10_7 = e4 | all_10_13 = e4 | all_10_21 = e4 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2970) gives: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | (2971) all_10_7 = e4 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (2601), (2971) are inconsistent by sub-proof % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | #139. % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | (2972) all_10_13 = e4 | all_10_21 = e4 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2972) gives: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | (2973) all_10_13 = e4 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (2973) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | (2974) all_4_8 = e4 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2974) implies: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | (2975) all_4_8 = e4 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2623), (2975) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | (2976) all_8_21 = e4 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (2975) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | (2977) ~ (all_4_3 = e4) % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (2975) imply: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | (2978) op(e4, e3) = all_8_30 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | (2979) all_10_12 = e3 % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (372), (521), (2979) are inconsistent by sub-proof % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | #224. % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.18 | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | (2980) all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e3 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2980) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | (2981) all_10_13 = e3 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2973), (2981) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | (2982) e4 = e3 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2982) implies: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | (2983) e4 = e3 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (2983) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | (2984) $false % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2984) is inconsistent. % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | (2985) all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2985) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (2986) all_10_14 = e3 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (2986) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (2987) all_4_13 = e3 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2987) implies: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (2988) all_4_13 = e3 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (2988) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (2989) all_8_4 = e3 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (2988) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (2990) ~ (all_4_11 = e3) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (2988) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (2991) ~ (all_4_14 = e3) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2991) implies: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (2992) ~ (all_4_14 = e3) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (2988) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | (2993) op(e3, e2) = all_8_32 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2994) ~ (all_8_54 = e2) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (426), (2994) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2995) ~ (all_4_6 = e2) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2996) all_6_15 = e1 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (601), (2996) are inconsistent by sub-proof % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #267. % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2997) ~ (all_6_15 = e1) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2998) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_15 = e0 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2999) all_10_1 = e2 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (2999) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3000) all_4_5 = e2 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (93), (3000) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3001) ~ (all_4_6 = e2) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (3000) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3002) ~ (all_4_15 = e2) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3002) implies: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3003) ~ (all_4_15 = e2) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (551), (3000) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3004) op(e2, e4) = all_8_1 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (3000) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3005) op(e2, e3) = all_8_2 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (3000) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3006) op(e4, e3) = e2 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2998) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3007) all_6_15 = e4 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (2977), (3007) are inconsistent by % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #266. % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3008) all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3009) all_6_6 = e1 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (624), (3009) are inconsistent by sub-proof % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #246. % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3010) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_6 = e0 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3011) all_10_1 = e3 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (2999), (3011) are inconsistent by sub-proof % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #68. % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3012) all_10_3 = e3 | all_10_7 = e3 | all_10_13 = e3 | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e3 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3008) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3013) all_6_15 = e2 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (3013) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3014) all_4_3 = e2 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3014) implies: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3015) all_4_3 = e2 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (3015) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3016) ~ (all_4_1 = e2) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (3015) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3017) ~ (all_4_4 = e2) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3017) implies: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3018) ~ (all_4_4 = e2) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (3015) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3019) op(e2, e4) = all_8_28 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (3015) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3020) op(e2, e1) = all_8_27 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (3015) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3021) op(e1, e4) = e2 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3022) all_6_3 = e1 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (542), (3022) are inconsistent by sub-proof % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #219. % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3023) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e0 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3023) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3024) all_6_3 = e4 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (2946), (3024) are inconsistent by % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #218. % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3025) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3010) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3026) all_6_6 = e4 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (3026) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3027) all_4_6 = e4 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (614), (3027) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3028) $false % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3028) is inconsistent. % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3029) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e0 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3012) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3030) all_10_3 = e3 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (3030) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3031) all_4_6 = e3 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (3031) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3032) ~ (all_4_11 = e3) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3033) all_10_9 = e3 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (3033) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3034) all_4_15 = e3 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2624), (3034) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3035) all_8_24 = e3 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (3034) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3036) ~ (all_4_16 = e3) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3036) implies: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3037) ~ (all_4_16 = e3) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (3034) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3038) ~ (all_4_19 = e3) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (556), (3034) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3039) op(e3, e1) = all_8_6 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_27, % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (2621), (3020) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3040) all_8_27 = e4 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_2, % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (2608), (3005) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3041) all_8_2 = e1 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_1, % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (22), (3004) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3042) all_8_1 = e3 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_28, % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, e4, e2, simplifying with (3004), (3019) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3043) all_8_1 = all_8_28 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_16, % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_6, e1, e3, simplifying with (140), (3039) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3044) all_8_6 = all_4_16 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_11, % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_32, e2, e3, simplifying with (141), (2993) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3045) all_8_32 = all_4_11 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_30, % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (2978), (3006) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3046) all_8_30 = e2 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_7, % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (2950), (2951) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3047) all_8_7 = e0 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3042), (3043) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3048) all_8_28 = e3 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3049) all_6_22 = e1 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (504), (540), (3049) are inconsistent by sub-proof % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #113. % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3050) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_22 = e0 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3051) all_6_23 = e1 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (3051) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3052) all_4_19 = e1 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (346), (3052) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3053) all_8_68 = e1 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (3052) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3054) all_10_23 = e1 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (3052) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3055) ~ (all_4_4 = e1) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (3052) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3056) ~ (all_4_16 = e1) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2618), (3052) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3057) ~ (e4 = e1) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3058) all_10_0 = e1 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (609), (2937), (3058) are inconsistent by % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #67. % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3059) all_10_2 = e1 | all_10_6 = e1 | all_10_12 = e1 | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e1 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3060) all_6_20 = e1 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (3055), (3060) are inconsistent by % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #160. % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3061) ~ (all_6_20 = e1) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3062) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_20 = e0 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3063) all_6_8 = e1 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (3056), (3063) are inconsistent by % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #181. % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3064) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_8 = e0 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3059) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3065) all_10_2 = e1 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (3065) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3066) all_4_1 = e1 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (622), (3066) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3067) all_8_19 = e1 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (3066) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3068) ~ (all_4_16 = e1) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (3066) imply: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3069) op(e1, e4) = all_8_10 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3070) all_10_20 = e2 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (357), (3018), (3070) are inconsistent by % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #172. % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3071) ~ (all_10_20 = e2) % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3072) all_10_21 = e2 | all_10_22 = e2 | all_10_23 = e2 | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e2 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3073) all_10_2 = e4 % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3065), (3073) imply: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3074) e4 = e1 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3074) implies: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3075) e4 = e1 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (3075) imply: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3076) $false % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3076) is inconsistent. % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3077) all_10_3 = e4 | all_10_5 = e4 | all_10_10 = e4 | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17 = e4 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3064) gives: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3078) all_6_8 = e4 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (3078) imply: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3079) all_4_16 = e4 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2616), (3079) imply: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3080) $false % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3080) is inconsistent. % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3081) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3062) gives: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3082) all_6_20 = e4 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (3082) imply: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3083) all_4_4 = e4 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (3083) imply: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3084) all_8_65 = e4 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3081) gives: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3085) all_6_8 = e2 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (3085) imply: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3086) all_4_16 = e2 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3044), (3086) imply: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3087) all_8_6 = e2 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (3086) imply: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3088) ~ (all_4_11 = e2) % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3056), (3086) imply: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3089) ~ (e2 = e1) % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (3086) imply: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3090) op(e2, e1) = all_8_15 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3091) all_6_7 = e1 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (536), (3091) are inconsistent by sub-proof % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #183. % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3092) ~ (all_6_7 = e1) % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3093) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_7 = e0 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3072) gives: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3094) all_10_21 = e2 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2584), (2944), (3094) are inconsistent by % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #66. % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3095) all_10_22 = e2 | all_10_23 = e2 | all_10_24 = e2 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3077) gives: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3096) all_10_3 = e4 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3030), (3096) imply: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3097) e4 = e3 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (3097) imply: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3098) $false % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3098) is inconsistent. % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3099) all_10_5 = e4 | all_10_10 = e4 | all_10_17 = e4 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3099) gives: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3100) all_10_5 = e4 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (3100) imply: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3101) all_4_11 = e4 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3101) implies: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3102) all_4_11 = e4 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3045), (3102) imply: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3103) all_8_32 = e4 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (3102) imply: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3104) ~ (all_4_14 = e4) % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3104) implies: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3105) ~ (all_4_14 = e4) % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (3102) imply: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3106) op(e4, e2) = all_8_13 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3095) gives: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3107) all_10_22 = e2 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (3107) imply: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3108) all_4_14 = e2 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (3108) imply: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3109) all_8_67 = e2 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3105), (3108) imply: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3110) ~ (e4 = e2) % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_10, % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e1, simplifying with (3021), (3069) gives: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3111) all_8_10 = e2 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_15, % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (2621), (3090) gives: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3112) all_8_15 = e4 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_13, % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (23), (3106) gives: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3113) all_8_13 = e1 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3114) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) | (all_8_13 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3114) gives: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3115) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (19), (20), (2932), (2949), (2989), (3041), % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3084), (3087), (3111), (3115) are inconsistent by % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #65. % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3116) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3116) gives: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3117) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (20), (3112), (3113), (3117) are % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #64. % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3118) (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3118) gives: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3119) all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3119) implies: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3120) ~ (all_8_53 = all_8_66) % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2578), (2961), (3120) imply: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3121) $false % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3121) is inconsistent. % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3122) (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_51 = all_8_56)) % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3122) gives: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3123) all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55) % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3067), (3089), (3123) are inconsistent by % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #147. % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3124) all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2949), (2976), (3124) are inconsistent by % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #211. % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3125) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) | (all_8_35 = e1 & ~ (all_8_34 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_63 = all_8_68)) | (all_8_37 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_39 = e0 & ~ (all_8_38 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_53 = all_8_66)) | (all_8_41 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3125) gives: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3126) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3126) gives: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3127) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (2060), (3035), (3109), (3127) are % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #63. % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3128) (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (19), (3046), (3048), (3089), (3103), (3128) % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #142. % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3129) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) | (all_8_39 = % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3129) gives: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3130) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (597), (2932), (3053), (3084), (3130) are % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #141. % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3131) (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3131) gives: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3132) all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3132) implies: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3133) ~ (all_8_53 = all_8_66) % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2578), (2961), (3133) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3134) $false % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3134) is inconsistent. % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3135) (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (597), (2060), (3053), (3109), (3135) are % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #62. % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3136) all_10_23 = e2 | all_10_24 = e2 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3136) gives: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3137) all_10_23 = e2 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3054), (3137) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3138) e2 = e1 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3138) implies: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3139) e2 = e1 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3089), (3139) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3140) $false % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3140) is inconsistent. % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3141) all_10_24 = e2 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2583), (3141) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3142) e3 = e2 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (3142) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3143) $false % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3143) is inconsistent. % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3144) ~ (all_10_5 = e4) % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (397), (3144) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3145) ~ (all_4_11 = e4) % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (2068), (2990), (3088), (3093), (3145) are % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #61. % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3146) all_6_8 = e3 | all_6_8 = e0 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (545), (3037), (3146) are inconsistent by % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #200. % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3147) all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e0 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (523), (2585), (3018), (3147) are % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #262. % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3148) all_10_6 = e1 | all_10_12 = e1 | all_10_20 = e1 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (357), (372), (388), (601), (3055), (3148) % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #92. % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3149) all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e2 | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_23 = e0 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3150) all_10_20 = e1 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (3150) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3151) all_4_4 = e1 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3151) implies: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3152) all_4_4 = e1 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (3152) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3153) ~ (all_4_1 = e1) % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (3152) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3154) op(e1, e4) = all_8_37 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3155) all_6_5 = e1 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (480), (3153), (3155) are inconsistent by % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #250. % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3156) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_5 = e0 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3156) gives: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3157) all_6_5 = e4 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (480), (3157) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3158) all_4_1 = e4 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3158) implies: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3159) all_4_1 = e4 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (622), (3159) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3160) all_8_19 = e4 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (3159) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3161) ~ (all_4_11 = e4) % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3161) implies: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3162) ~ (all_4_11 = e4) % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (3159) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3163) ~ (all_4_16 = e4) % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (3159) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3164) op(e4, e4) = all_8_10 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3165) all_6_7 = e1 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (3165) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3166) all_4_11 = e1 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (3166) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3167) $false % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3167) is inconsistent. % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3168) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_7 = e0 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3168) gives: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3169) all_6_7 = e4 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (3169) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3170) all_4_11 = e4 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3162), (3170) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3171) $false % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3171) is inconsistent. % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3172) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3172) gives: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3173) all_6_7 = e2 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (3173) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3174) all_4_11 = e2 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3045), (3174) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3175) all_8_32 = e2 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (3174) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3176) ~ (all_4_14 = e2) % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3176) implies: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3177) ~ (all_4_14 = e2) % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (3174) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3178) ~ (all_4_16 = e2) % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3178) implies: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3179) ~ (all_4_16 = e2) % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (3174) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3180) op(e2, e2) = all_8_13 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3181) all_6_8 = e1 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (3181) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3182) all_4_16 = e1 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3044), (3182) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3183) all_8_6 = e1 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (3182) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3184) ~ (all_4_19 = e1) % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3184) implies: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3185) ~ (all_4_19 = e1) % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (3182) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3186) op(e1, e1) = all_8_15 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3050) gives: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3187) all_6_22 = e4 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (3187) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3188) all_4_14 = e4 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (590), (3188) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3189) op(e4, e2) = all_8_41 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3149) gives: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3190) all_6_23 = e4 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (2618), (3190) are inconsistent by % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #60. % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3191) ~ (all_6_23 = e4) % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3192) all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e0 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3192) gives: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3193) all_6_23 = e2 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (3193) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3194) all_4_19 = e2 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3194) implies: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3195) all_4_19 = e2 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2618), (3195) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3196) ~ (e4 = e2) % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3185), (3195) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3197) ~ (e2 = e1) % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (3195) imply: % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3198) op(e2, e1) = all_8_43 % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_15, % 70.61/11.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (21), (3186) gives: % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3199) all_8_15 = e0 % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_37, % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e1, simplifying with (3021), (3154) gives: % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3200) all_8_37 = e2 % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_43, % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (2621), (3198) gives: % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3201) all_8_43 = e4 % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_13, % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (2081), (3180) gives: % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3202) all_8_13 = e0 % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_41, % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (23), (3189) gives: % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3203) all_8_41 = e1 % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_10, % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (2951), (3164) gives: % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3204) all_8_10 = e0 % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives: % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3205) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) | (all_8_13 = % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3205) gives: % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.61/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3206) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3206) gives: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3207) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3207) gives: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3208) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (3041), (3208) are inconsistent by sub-proof % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #216. % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3209) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (2989), (3209) are inconsistent by sub-proof % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #215. % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3210) (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_8 = e4 & ~ (all_8_7 = e0) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_48 = all_8_65)) | (all_8_10 = e3 & % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3210) gives: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3211) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (3183), (3211) are inconsistent by sub-proof % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #59. % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3212) (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (3047), (3204), (3212) are inconsistent by % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #58. % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3213) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3213) gives: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3214) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3214) gives: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3215) all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (3202), (3215) are inconsistent by sub-proof % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #57. % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3216) all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (3199), (3216) are inconsistent by sub-proof % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #213. % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3217) (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3217) gives: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3218) all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3218) implies: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3219) ~ (all_8_53 = all_8_66) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2578), (2961), (3219) imply: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3220) $false % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3220) is inconsistent. % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3221) (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_51 = all_8_56)) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2949), (2976), (3160), (3221) are inconsistent by % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #210. % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3222) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) | (all_8_35 = e1 & ~ (all_8_34 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_63 = all_8_68)) | (all_8_37 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_39 = e0 & ~ (all_8_38 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_53 = all_8_66)) | (all_8_41 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3222) gives: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3223) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3223) gives: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3224) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (2085), (3035), (3224) are inconsistent by % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #78. % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3225) (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3225) gives: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3226) all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (3048), (3226) are inconsistent by sub-proof % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #208. % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3227) (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61)) | (all_8_32 = e1 & ~ (all_8_31 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_57 = all_8_62)) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3227) gives: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3228) all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3046), (3197), (3228) are inconsistent by % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #144. % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3229) all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3175), (3197), (3229) are inconsistent by % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #105. % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3230) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) | (all_8_39 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3230) gives: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3231) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (618), (2944), (3200), (3231) are inconsistent by % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #125. % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3232) (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3232) gives: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3233) all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3233) implies: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3234) ~ (all_8_53 = all_8_66) % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2578), (2961), (3234) imply: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3235) $false % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3235) is inconsistent. % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3236) (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (609), (3201), (3203), (3236) are % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #205. % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3237) all_6_23 = e3 | all_6_23 = e0 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (548), (2588), (3237) are inconsistent by % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #75. % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3238) all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (504), (2587), (2992), (3177), (3238) are % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #100. % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3239) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_8 = e0 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (545), (2616), (3037), (3179), (3239) are % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #198. % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3240) all_6_7 = e3 | all_6_7 = e0 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (2068), (2990), (3240) are inconsistent by % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #136. % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3241) all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (480), (519), (2962), (3016), (3241) are % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #256. % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3242) ~ (all_10_20 = e1) % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (3242) imply: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3243) ~ (all_4_4 = e1) % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3244) all_6_20 = e1 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (3243), (3244) are inconsistent by % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #160. % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3245) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_20 = e0 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3149) gives: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3246) all_6_23 = e4 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (3246) imply: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3247) all_4_19 = e4 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2618), (3247) imply: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3248) $false % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3248) is inconsistent. % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3249) all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e0 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3249) gives: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3250) all_6_23 = e2 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (3250) imply: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3251) all_4_19 = e2 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (3251) imply: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3252) ~ (all_4_14 = e2) % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3050) gives: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3253) all_6_22 = e4 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (3253) imply: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3254) all_4_14 = e4 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3254) implies: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3255) all_4_14 = e4 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (3255) imply: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3256) ~ (all_4_4 = e4) % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (523), (2585), (3018), (3245), (3256) are % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #261. % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3257) all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (504), (2587), (2992), (3252), (3257) are % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #100. % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3258) all_6_23 = e3 | all_6_23 = e0 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (548), (2588), (3258) are inconsistent by % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #75. % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3259) ~ (all_10_9 = e3) % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (409), (3259) imply: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3260) ~ (all_4_15 = e3) % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (544), (3003), (3025), (3260) are % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #196. % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3261) ~ (all_10_3 = e3) % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (400), (3261) imply: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3262) ~ (all_4_6 = e3) % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (486), (2089), (2995), (3029), (3262) are % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #236. % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3263) all_6_15 = e3 | all_6_15 = e0 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (521), (532), (3263) are inconsistent by % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #229. % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3264) all_10_3 = e2 | all_10_7 = e2 | all_10_13 = e2 | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e2 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3264) gives: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3265) all_10_3 = e2 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (3265) imply: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3266) all_4_6 = e2 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2995), (3266) imply: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3267) $false % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3267) is inconsistent. % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3268) all_10_7 = e2 | all_10_13 = e2 | all_10_21 = e2 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (384), (2067), (2584), (2944), (2949), (2973), % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3268) are inconsistent by sub-proof #110. % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3269) all_8_51 = e3 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (3269) imply: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3270) all_4_11 = e3 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3270) implies: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3271) all_4_11 = e3 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2990), (3271) imply: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3272) $false % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3272) is inconsistent. % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (3273) all_10_15 = e3 | all_10_19 = e3 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (363), (600), (3273) are inconsistent % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #56. % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | (3274) all_10_21 = e4 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2584), (3274) imply: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | (3275) e4 = e0 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (3275) imply: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | (3276) $false % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3276) is inconsistent. % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.23 | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | (3277) all_10_18 = e0 | all_10_19 = e0 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | BETA: splitting (3277) gives: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | (3278) all_10_18 = e0 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2064), (3278) imply: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | (3279) e2 = e0 % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | REDUCE: (2944), (3279) imply: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | (3280) $false % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | CLOSE: (3280) is inconsistent. % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | % 70.84/11.23 | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.23 | | | | | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | | | | | (3281) all_10_19 = e0 % 70.84/11.24 | | | | | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (3281) imply: % 70.84/11.24 | | | | | | | | | | | | | | | | | | | | (3282) e1 = e0 % 70.84/11.24 | | | | | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | | | | | SIMP: (3282) implies: % 70.84/11.24 | | | | | | | | | | | | | | | | | | | | (3283) e1 = e0 % 70.84/11.24 | | | | | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | | | | | REDUCE: (609), (3283) imply: % 70.84/11.24 | | | | | | | | | | | | | | | | | | | | (3284) $false % 70.84/11.24 | | | | | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | | | | | CLOSE: (3284) is inconsistent. % 70.84/11.24 | | | | | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | | | | End of split % 70.84/11.24 | | | | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | | | End of split % 70.84/11.24 | | | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | | End of split % 70.84/11.24 | | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | End of split % 70.84/11.24 | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | End of split % 70.84/11.24 | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | Case 2: % 70.84/11.24 | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | (3285) all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0 % 70.84/11.24 | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | REF_CLOSE: (491), (529), (546), (2072), (3285) are % 70.84/11.24 | | | | | | | | | | | | | | | inconsistent by sub-proof #231. % 70.84/11.24 | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | End of split % 70.84/11.24 | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | End of split % 70.84/11.24 | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | Case 2: % 70.84/11.24 | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | (3286) all_10_13 = e1 | all_10_21 = e1 % 70.84/11.24 | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | BETA: splitting (3286) gives: % 70.84/11.24 | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | Case 1: % 70.84/11.24 | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | (3287) all_10_13 = e1 % 70.84/11.24 | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | COMBINE_EQS: (369), (3287) imply: % 70.84/11.24 | | | | | | | | | | | | | | (3288) all_4_8 = e1 % 70.84/11.24 | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | SIMP: (3288) implies: % 70.84/11.24 | | | | | | | | | | | | | | (3289) all_4_8 = e1 % 70.84/11.24 | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | REDUCE: (602), (3289) imply: % 70.84/11.24 | | | | | | | | | | | | | | (3290) $false % 70.84/11.24 | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | CLOSE: (3290) is inconsistent. % 70.84/11.24 | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | Case 2: % 70.84/11.24 | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | (3291) all_10_21 = e1 % 70.84/11.24 | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | COMBINE_EQS: (2584), (3291) imply: % 70.84/11.24 | | | | | | | | | | | | | | (3292) e1 = e0 % 70.84/11.24 | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | REDUCE: (609), (3292) imply: % 70.84/11.24 | | | | | | | | | | | | | | (3293) $false % 70.84/11.24 | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | CLOSE: (3293) is inconsistent. % 70.84/11.24 | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | End of split % 70.84/11.24 | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | End of split % 70.84/11.24 | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | End of split % 70.84/11.24 | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | End of split % 70.84/11.24 | | | | | | | | | | % 70.84/11.24 | | | | | | | | | End of split % 70.84/11.24 | | | | | | | | | % 70.84/11.24 | | | | | | | | Case 2: % 70.84/11.24 | | | | | | | | | % 70.84/11.24 | | | | | | | | | (3294) all_8_54 = e0 % 70.84/11.24 | | | | | | | | | (3295) all_8_53 = e3 % 70.84/11.24 | | | | | | | | | % 70.84/11.24 | | | | | | | | | COMBINE_EQS: (454), (3295) imply: % 70.84/11.24 | | | | | | | | | (3296) all_4_21 = e3 % 70.84/11.24 | | | | | | | | | % 70.84/11.24 | | | | | | | | | SIMP: (3296) implies: % 70.84/11.24 | | | | | | | | | (3297) all_4_21 = e3 % 70.84/11.24 | | | | | | | | | % 70.84/11.24 | | | | | | | | | COMBINE_EQS: (426), (3294) imply: % 70.84/11.24 | | | | | | | | | (3298) all_4_6 = e0 % 70.84/11.24 | | | | | | | | | % 70.84/11.24 | | | | | | | | | COMBINE_EQS: (391), (3297) imply: % 70.84/11.24 | | | | | | | | | (3299) all_10_17 = e3 % 70.84/11.24 | | | | | | | | | % 70.84/11.24 | | | | | | | | | COMBINE_EQS: (400), (3298) imply: % 70.84/11.24 | | | | | | | | | (3300) all_10_3 = e0 % 70.84/11.24 | | | | | | | | | % 70.84/11.24 | | | | | | | | | REDUCE: (112), (3298) imply: % 70.84/11.24 | | | | | | | | | (3301) ~ (all_4_1 = e0) % 70.84/11.24 | | | | | | | | | % 70.84/11.24 | | | | | | | | | REDUCE: (86), (3298) imply: % 70.84/11.24 | | | | | | | | | (3302) ~ (all_4_7 = e0) % 70.84/11.24 | | | | | | | | | % 70.84/11.24 | | | | | | | | | REDUCE: (85), (3298) imply: % 70.84/11.24 | | | | | | | | | (3303) ~ (all_4_8 = e0) % 70.84/11.24 | | | | | | | | | % 70.84/11.24 | | | | | | | | | REDUCE: (83), (3298) imply: % 70.84/11.24 | | | | | | | | | (3304) ~ (all_4_11 = e0) % 70.84/11.24 | | | | | | | | | % 70.84/11.24 | | | | | | | | | REDUCE: (82), (3298) imply: % 70.84/11.24 | | | | | | | | | (3305) ~ (all_4_16 = e0) % 70.84/11.24 | | | | | | | | | % 70.84/11.24 | | | | | | | | | REDUCE: (81), (3297), (3298) imply: % 70.84/11.24 | | | | | | | | | (3306) ~ (e3 = e0) % 70.84/11.24 | | | | | | | | | % 70.84/11.24 | | | | | | | | | REDUCE: (60), (3297) imply: % 70.84/11.24 | | | | | | | | | (3307) ~ (all_4_11 = e3) % 70.84/11.24 | | | | | | | | | % 70.84/11.24 | | | | | | | | | REDUCE: (42), (3297) imply: % 70.84/11.24 | | | | | | | | | (3308) ~ (all_4_16 = e3) % 70.84/11.24 | | | | | | | | | % 70.84/11.24 | | | | | | | | | REDUCE: (29), (3297) imply: % 70.84/11.24 | | | | | | | | | (3309) ~ (all_4_24 = e3) % 70.84/11.24 | | | | | | | | | % 70.84/11.24 | | | | | | | | | SIMP: (3309) implies: % 70.84/11.24 | | | | | | | | | (3310) ~ (all_4_24 = e3) % 70.84/11.24 | | | | | | | | | % 70.84/11.24 | | | | | | | | | REDUCE: (568), (3298) imply: % 70.84/11.24 | | | | | | | | | (3311) op(e0, e3) = all_8_11 % 70.84/11.24 | | | | | | | | | % 70.84/11.24 | | | | | | | | | REDUCE: (566), (3297) imply: % 70.84/11.24 | | | | | | | | | (3312) op(e3, e3) = all_8_16 % 70.84/11.24 | | | | | | | | | % 70.84/11.24 | | | | | | | | | REDUCE: (142), (3298) imply: % 70.84/11.24 | | | | | | | | | (3313) op(e3, e3) = e0 % 70.84/11.24 | | | | | | | | | % 70.84/11.24 | | | | | | | | | BETA: splitting (174) gives: % 70.84/11.24 | | | | | | | | | % 70.84/11.24 | | | | | | | | | Case 1: % 70.84/11.24 | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | (3314) all_6_24 = e1 % 70.84/11.24 | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | REF_CLOSE: (507), (608), (3314) are inconsistent by sub-proof % 70.84/11.24 | | | | | | | | | | #226. % 70.84/11.24 | | | | | | | | | | % 70.84/11.24 | | | | | | | | | Case 2: % 70.84/11.24 | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | (3315) all_6_24 = e4 | all_6_24 = e3 | all_6_24 = e2 | % 70.84/11.24 | | | | | | | | | | all_6_24 = e0 % 70.84/11.24 | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | BETA: splitting (311) gives: % 70.84/11.24 | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | Case 1: % 70.84/11.24 | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | (3316) all_10_16 = e4 % 70.84/11.24 | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | COMBINE_EQS: (406), (3316) imply: % 70.84/11.24 | | | | | | | | | | | (3317) all_4_20 = e4 % 70.84/11.24 | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | COMBINE_EQS: (452), (3317) imply: % 70.84/11.24 | | | | | | | | | | | (3318) all_8_48 = e4 % 70.84/11.24 | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | REDUCE: (87), (3317) imply: % 70.84/11.24 | | | | | | | | | | | (3319) ~ (all_4_5 = e4) % 70.84/11.24 | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | REDUCE: (46), (3317) imply: % 70.84/11.24 | | | | | | | | | | | (3320) ~ (all_4_15 = e4) % 70.84/11.24 | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | REDUCE: (32), (3317) imply: % 70.84/11.24 | | | | | | | | | | | (3321) ~ (all_4_24 = e4) % 70.84/11.24 | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | REDUCE: (557), (3317) imply: % 70.84/11.24 | | | | | | | | | | | (3322) op(e4, e4) = all_8_7 % 70.84/11.24 | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | BETA: splitting (337) gives: % 70.84/11.24 | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | Case 1: % 70.84/11.24 | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | (3323) all_10_0 = e0 % 70.84/11.24 | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | COMBINE_EQS: (419), (3323) imply: % 70.84/11.24 | | | | | | | | | | | | (3324) all_4_0 = e0 % 70.84/11.24 | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | REDUCE: (123), (3324) imply: % 70.84/11.24 | | | | | | | | | | | | (3325) ~ (all_4_1 = e0) % 70.84/11.24 | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | REDUCE: (121), (3324) imply: % 70.84/11.24 | | | | | | | | | | | | (3326) ~ (all_4_3 = e0) % 70.84/11.24 | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | REDUCE: (119), (3324) imply: % 70.84/11.24 | | | | | | | | | | | | (3327) ~ (all_4_5 = e0) % 70.84/11.24 | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | SIMP: (3327) implies: % 70.84/11.24 | | | | | | | | | | | | (3328) ~ (all_4_5 = e0) % 70.84/11.24 | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | REDUCE: (117), (3324) imply: % 70.84/11.24 | | | | | | | | | | | | (3329) ~ (all_4_15 = e0) % 70.84/11.24 | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | REDUCE: (559), (3324) imply: % 70.84/11.24 | | | | | | | | | | | | (3330) op(e0, e4) = all_8_0 % 70.84/11.24 | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | REDUCE: (148), (3324) imply: % 70.84/11.24 | | | | | | | | | | | | (3331) op(e4, e4) = e0 % 70.84/11.24 | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | BETA: splitting (304) gives: % 70.84/11.24 | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | Case 1: % 70.84/11.24 | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | (3332) all_10_24 = e0 % 70.84/11.24 | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | COMBINE_EQS: (514), (3332) imply: % 70.84/11.24 | | | | | | | | | | | | | (3333) all_4_24 = e0 % 70.84/11.24 | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | SIMP: (3333) implies: % 70.84/11.24 | | | | | | | | | | | | | (3334) all_4_24 = e0 % 70.84/11.24 | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | REDUCE: (94), (3334) imply: % 70.84/11.24 | | | | | | | | | | | | | (3335) ~ (all_4_4 = e0) % 70.84/11.24 | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | REDUCE: (69), (3334) imply: % 70.84/11.24 | | | | | | | | | | | | | (3336) ~ (all_4_9 = e0) % 70.84/11.24 | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | REDUCE: (51), (3334) imply: % 70.84/11.24 | | | | | | | | | | | | | (3337) ~ (all_4_14 = e0) % 70.84/11.24 | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | REDUCE: (2076), (3334) imply: % 70.84/11.24 | | | | | | | | | | | | | (3338) ~ (e2 = e0) % 70.84/11.24 | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | SIMP: (3338) implies: % 70.84/11.24 | | | | | | | | | | | | | (3339) ~ (e2 = e0) % 70.84/11.24 | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9, % 70.84/11.24 | | | | | | | | | | | | | all_8_11, e3, e0, simplifying with (127), (3311) % 70.84/11.24 | | | | | | | | | | | | | gives: % 70.84/11.24 | | | | | | | | | | | | | (3340) all_8_11 = all_4_9 % 70.84/11.24 | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_4, % 70.84/11.24 | | | | | | | | | | | | | all_8_0, e4, e0, simplifying with (128), (3330) % 70.84/11.24 | | | | | | | | | | | | | gives: % 70.84/11.24 | | | | | | | | | | | | | (3341) all_8_0 = all_4_4 % 70.84/11.24 | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_16, % 70.84/11.24 | | | | | | | | | | | | | e3, e3, simplifying with (3312), (3313) gives: % 70.84/11.24 | | | | | | | | | | | | | (3342) all_8_16 = e0 % 70.84/11.24 | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_7, % 70.84/11.24 | | | | | | | | | | | | | e4, e4, simplifying with (3322), (3331) gives: % 70.84/11.24 | | | | | | | | | | | | | (3343) all_8_7 = e0 % 70.84/11.24 | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | BETA: splitting (181) gives: % 70.84/11.24 | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | Case 1: % 70.84/11.24 | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | (3344) all_6_15 = e1 % 70.84/11.24 | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | COMBINE_EQS: (494), (3344) imply: % 70.84/11.24 | | | | | | | | | | | | | | (3345) all_4_3 = e1 % 70.84/11.24 | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | REDUCE: (601), (3345) imply: % 70.84/11.24 | | | | | | | | | | | | | | (3346) $false % 70.84/11.24 | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | CLOSE: (3346) is inconsistent. % 70.84/11.24 | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | Case 2: % 70.84/11.24 | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | (3347) ~ (all_6_15 = e1) % 70.84/11.24 | | | | | | | | | | | | | | (3348) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | % 70.84/11.24 | | | | | | | | | | | | | | all_6_15 = e0 % 70.84/11.24 | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | BETA: splitting (185) gives: % 70.84/11.24 | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | Case 1: % 70.84/11.24 | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | (3349) all_6_11 = e1 % 70.84/11.24 | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | COMBINE_EQS: (489), (3349) imply: % 70.84/11.24 | | | | | | | | | | | | | | | (3350) all_4_7 = e1 % 70.84/11.24 | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | SIMP: (3350) implies: % 70.84/11.24 | | | | | | | | | | | | | | | (3351) all_4_7 = e1 % 70.84/11.24 | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | COMBINE_EQS: (384), (3351) imply: % 70.84/11.24 | | | | | | | | | | | | | | | (3352) all_10_7 = e1 % 70.84/11.24 | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | REDUCE: (80), (3351) imply: % 70.84/11.24 | | | | | | | | | | | | | | | (3353) ~ (all_4_8 = e1) % 70.84/11.24 | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | REDUCE: (79), (3351) imply: % 70.84/11.24 | | | | | | | | | | | | | | | (3354) ~ (all_4_9 = e1) % 70.84/11.24 | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | SIMP: (3354) implies: % 70.84/11.24 | | | | | | | | | | | | | | | (3355) ~ (all_4_9 = e1) % 70.84/11.24 | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | REDUCE: (77), (3351) imply: % 70.84/11.24 | | | | | | | | | | | | | | | (3356) ~ (all_4_17 = e1) % 70.84/11.24 | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | SIMP: (3356) implies: % 70.84/11.24 | | | | | | | | | | | | | | | (3357) ~ (all_4_17 = e1) % 70.84/11.24 | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | REDUCE: (525), (3351) imply: % 70.84/11.24 | | | | | | | | | | | | | | | (3358) ~ (e3 = e1) % 70.84/11.24 | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | REDUCE: (2067), (3351) imply: % 70.84/11.24 | | | | | | | | | | | | | | | (3359) ~ (e2 = e1) % 70.84/11.24 | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | SIMP: (3359) implies: % 70.84/11.24 | | | | | | | | | | | | | | | (3360) ~ (e2 = e1) % 70.84/11.24 | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | REDUCE: (571), (3351) imply: % 70.84/11.24 | | | | | | | | | | | | | | | (3361) op(e1, e3) = all_8_21 % 70.84/11.24 | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | REDUCE: (137), (3351) imply: % 70.84/11.24 | | | | | | | | | | | | | | | (3362) op(e2, e3) = e1 % 70.84/11.24 | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | BETA: splitting (183) gives: % 70.84/11.24 | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | Case 1: % 70.84/11.24 | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | (3363) all_6_13 = e1 % 70.84/11.24 | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (3363) imply: % 70.84/11.24 | | | | | | | | | | | | | | | | (3364) all_4_17 = e1 % 70.84/11.24 | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | REDUCE: (3357), (3364) imply: % 70.84/11.24 | | | | | | | | | | | | | | | | (3365) $false % 70.84/11.24 | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | CLOSE: (3365) is inconsistent. % 70.84/11.24 | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | Case 2: % 70.84/11.24 | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | (3366) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | % 70.84/11.24 | | | | | | | | | | | | | | | | all_6_13 = e0 % 70.84/11.24 | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | BETA: splitting (3366) gives: % 70.84/11.24 | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | Case 1: % 70.84/11.24 | | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | | (3367) all_6_13 = e4 % 70.84/11.24 | | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (3367) imply: % 70.84/11.24 | | | | | | | | | | | | | | | | | (3368) all_4_17 = e4 % 70.84/11.24 | | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | | COMBINE_EQS: (443), (3368) imply: % 70.84/11.24 | | | | | | | | | | | | | | | | | (3369) all_8_57 = e4 % 70.84/11.24 | | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (3368) imply: % 70.84/11.24 | | | | | | | | | | | | | | | | | (3370) all_10_11 = e4 % 70.84/11.24 | | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | | REDUCE: (45), (3368) imply: % 70.84/11.24 | | | | | | | | | | | | | | | | | (3371) ~ (all_4_16 = e4) % 70.84/11.24 | | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | | REDUCE: (40), (3368) imply: % 70.84/11.24 | | | | | | | | | | | | | | | | | (3372) ~ (all_4_19 = e4) % 70.84/11.24 | | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | | SIMP: (3372) implies: % 70.84/11.24 | | | | | | | | | | | | | | | | | (3373) ~ (all_4_19 = e4) % 70.84/11.24 | | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | | REDUCE: (2072), (3368) imply: % 70.84/11.24 | | | | | | | | | | | | | | | | | (3374) ~ (e4 = e2) % 70.84/11.24 | | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | | REDUCE: (573), (3368) imply: % 70.84/11.24 | | | | | | | | | | | | | | | | | (3375) op(e4, e2) = all_8_23 % 70.84/11.24 | | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | | REDUCE: (574), (3368) imply: % 70.84/11.24 | | | | | | | | | | | | | | | | | (3376) op(e4, e1) = all_8_24 % 70.84/11.24 | | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | | REDUCE: (135), (3368) imply: % 70.84/11.24 | | | | | | | | | | | | | | | | | (3377) op(e2, e1) = e4 % 70.84/11.24 | | | | | | | | | | | | | | | | | % 70.84/11.24 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_8, % 70.84/11.24 | | | | | | | | | | | | | | | | | all_8_21, e3, e1, simplifying with (132), (3361) % 70.84/11.24 | | | | | | | | | | | | | | | | | gives: % 70.84/11.24 | | | | | | | | | | | | | | | | | (3378) all_8_21 = all_4_8 % 70.84/11.25 | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_15, % 70.84/11.25 | | | | | | | | | | | | | | | | | all_8_24, e1, e4, simplifying with (145), (3376) % 70.84/11.25 | | | | | | | | | | | | | | | | | gives: % 70.84/11.25 | | | | | | | | | | | | | | | | | (3379) all_8_24 = all_4_15 % 70.84/11.25 | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_23, % 70.84/11.25 | | | | | | | | | | | | | | | | | e2, e4, simplifying with (23), (3375) gives: % 70.84/11.25 | | | | | | | | | | | | | | | | | (3380) all_8_23 = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | BETA: splitting (192) gives: % 70.84/11.25 | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.25 | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | (3381) all_6_3 = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (542), (3381) are inconsistent by sub-proof % 70.84/11.25 | | | | | | | | | | | | | | | | | | #219. % 70.84/11.25 | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.25 | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | (3382) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | % 70.84/11.25 | | | | | | | | | | | | | | | | | | all_6_3 = e0 % 70.84/11.25 | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives: % 70.84/11.25 | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | (3383) all_6_7 = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (3383) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | (3384) all_4_11 = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | REDUCE: (536), (3384) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | (3385) $false % 70.84/11.25 | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | CLOSE: (3385) is inconsistent. % 70.84/11.25 | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | (3386) ~ (all_6_7 = e1) % 70.84/11.25 | | | | | | | | | | | | | | | | | | | (3387) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | all_6_7 = e0 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | (3388) all_6_1 = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (533), (3388) are inconsistent by sub-proof % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | #223. % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | (3389) ~ (all_6_1 = e1) % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | (3390) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | all_6_1 = e0 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | (3391) all_6_8 = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (3391) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | (3392) all_4_16 = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (3392) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | (3393) all_10_10 = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (3392) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | (3394) ~ (all_4_1 = e1) % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (3392) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | (3395) op(e1, e1) = all_8_15 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (3392) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | (3396) op(e3, e1) = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | (3397) all_10_0 = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (609), (3323), (3397) are inconsistent by % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | sub-proof #67. % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | (3398) all_10_2 = e1 | all_10_6 = e1 | all_10_12 = e1 | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3398) gives: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | (3399) all_10_2 = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (403), (3394), (3399) are inconsistent by % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #249. % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | (3400) all_10_6 = e1 | all_10_12 = e1 | all_10_20 = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | (3401) all_10_20 = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (3401) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | (3402) all_4_4 = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3402) implies: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | (3403) all_4_4 = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (3403) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | (3404) ~ (all_4_19 = e1) % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3404) implies: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | (3405) ~ (all_4_19 = e1) % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (3403) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | (3406) op(e1, e4) = all_8_37 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (128), (3403) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | (3407) op(e0, e4) = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_15, % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (21), (3395) gives: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | (3408) all_8_15 = e0 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_3, % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | all_8_37, e4, e1, simplifying with (133), (3406) % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | (3409) all_8_37 = all_4_3 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | (3410) all_6_5 = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (480), (3394), (3410) are inconsistent by % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #250. % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | (3411) ~ (all_6_5 = e1) % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | (3412) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | all_6_5 = e0 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (3413) all_6_23 = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (3405), (3413) are inconsistent by % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #55. % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (3414) ~ (all_6_23 = e1) % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (3415) all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e2 | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_23 = e0 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3416) unit = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (3416) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3417) op(e1, e4) = e4 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (3416) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3418) op(e2, e1) = e2 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (3416) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3419) op(e1, e1) = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e1, e1, % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (21), (3419) gives: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3420) e1 = e0 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_3, e4, % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e1, simplifying with (133), (3417) gives: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3421) all_4_3 = e4 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e2, e1, % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3377), (3418) gives: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3422) e4 = e2 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3421), (3422) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3423) all_4_3 = e2 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3401), (3420) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3424) all_10_20 = e0 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (3423) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3425) all_10_12 = e2 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (388), (609), (3360), (3400), (3424), (3425) % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #106. % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3426) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3427) all_6_22 = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (3427) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3428) all_4_14 = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (540), (3428) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3429) $false % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3429) is inconsistent. % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3430) ~ (all_6_22 = e1) % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3431) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_22 = e0 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3432) all_6_17 = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (603), (3432) are inconsistent by sub-proof % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #182. % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3433) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_17 = e0 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3434) all_6_16 = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (602), (3434) are inconsistent by sub-proof % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #242. % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3435) ~ (all_6_16 = e1) % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3436) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3437) all_6_21 = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (3437) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3438) all_4_9 = e1 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3355), (3438) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3439) $false % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3439) is inconsistent. % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3440) ~ (all_6_21 = e1) % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3441) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_21 = e0 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3442) all_10_9 = e3 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (3442) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3443) all_4_15 = e3 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3443) implies: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3444) all_4_15 = e3 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3379), (3444) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3445) all_8_24 = e3 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (3444) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3446) ~ (all_4_5 = e3) % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (556), (3444) imply: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3447) op(e3, e1) = all_8_6 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3415) gives: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3448) all_6_23 = e4 % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (3373), (3448) are inconsistent by % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #60. % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.84/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3449) all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e0 % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3390) gives: % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3450) all_6_1 = e4 % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (3450) imply: % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3451) all_4_5 = e4 % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3319), (3451) imply: % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3452) $false % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3452) is inconsistent. % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3453) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0 % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3453) gives: % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3454) all_6_1 = e2 % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (3454) imply: % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3455) all_4_5 = e2 % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (423), (3455) imply: % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3456) all_8_45 = e2 % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (3455) imply: % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3457) ~ (all_4_8 = e2) % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3457) implies: % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3458) ~ (all_4_8 = e2) % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (551), (3455) imply: % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3459) op(e2, e4) = all_8_1 % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (3455) imply: % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3460) op(e2, e3) = all_8_2 % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (3455) imply: % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3461) op(e4, e3) = e2 % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3449) gives: % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3462) all_6_23 = e2 % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (3462) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3463) all_4_19 = e2 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (3463) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3464) ~ (all_4_9 = e2) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (3463) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3465) op(e2, e1) = all_8_43 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_43, % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (3377), (3465) gives: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3466) all_8_43 = e4 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_2, % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (3362), (3460) gives: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3467) all_8_2 = e1 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_1, % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (22), (3459) gives: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3468) all_8_1 = e3 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_6, % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (3396), (3447) gives: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3469) all_8_6 = e1 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3470) all_10_0 = e4 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (3323), (3470) are inconsistent by sub-proof % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #168. % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3471) all_10_2 = e4 | all_10_6 = e4 | all_10_12 = e4 | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e4 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3472) all_10_20 = e3 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (3401), (3472) are inconsistent by sub-proof % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #166. % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3473) ~ (all_10_20 = e3) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3474) all_10_21 = e3 | all_10_22 = e3 | all_10_23 = e3 | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e3 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3475) all_10_12 = e2 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (3475) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3476) all_4_3 = e2 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3476) implies: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3477) all_4_3 = e2 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3409), (3477) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3478) all_8_37 = e2 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (3477) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3479) all_8_3 = e2 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (3477) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3480) ~ (all_4_1 = e2) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (3477) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3481) op(e2, e4) = all_8_28 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3471) gives: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3482) all_10_2 = e4 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (3482) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3483) all_4_1 = e4 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3483) implies: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3484) all_4_1 = e4 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (622), (3484) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3485) all_8_19 = e4 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (3484) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3486) ~ (all_4_11 = e4) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3486) implies: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3487) ~ (all_4_11 = e4) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (3484) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3488) op(e4, e4) = all_8_10 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (3484) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3489) op(e4, e3) = all_8_9 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (324) gives: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3490) all_10_4 = e2 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (3490) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3491) e2 = e1 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3360), (3491) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3492) $false % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3492) is inconsistent. % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3493) all_10_5 = e2 | all_10_8 = e2 | all_10_14 = e2 | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22 = e2 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3493) gives: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3494) all_10_5 = e2 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (3494) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3495) all_4_11 = e2 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3495) implies: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3496) all_4_11 = e2 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (3496) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3497) ~ (all_4_13 = e2) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3497) implies: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3498) ~ (all_4_13 = e2) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3487), (3496) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3499) ~ (e4 = e2) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (3496) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3500) op(e2, e2) = all_8_13 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (3496) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3501) op(e3, e2) = e2 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_13, % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (2081), (3500) gives: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3502) all_8_13 = e0 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_28, % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (22), (3481) gives: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3503) all_8_28 = e3 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_9, % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (3461), (3489) gives: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3504) all_8_9 = e2 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_10, % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (3331), (3488) gives: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3505) all_8_10 = e0 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3506) all_10_20 = e4 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3401), (3506) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3507) e4 = e1 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (3507) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3508) $false % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3508) is inconsistent. % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3509) ~ (all_10_20 = e4) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3510) all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e4 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3401), (3509) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3511) ~ (e4 = e1) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3512) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) | (all_8_13 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3512) gives: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3513) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3513) gives: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3514) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3514) gives: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3515) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3515) implies: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3516) all_8_2 = e4 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3467), (3516) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3517) e4 = e1 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (3517) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3518) $false % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3518) is inconsistent. % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3519) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3519) implies: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3520) ~ (all_8_3 = e2) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3479), (3520) imply: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3521) $false % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3521) is inconsistent. % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3522) (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_8 = e4 & ~ (all_8_7 = e0) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_48 = all_8_65)) | (all_8_10 = e3 & % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3522) gives: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3523) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (3469), (3523) are inconsistent by sub-proof % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #59. % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3524) (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (3343), (3505), (3524) are inconsistent by % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #58. % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3525) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3525) gives: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3526) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3526) gives: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3527) all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (3502), (3527) are inconsistent by sub-proof % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #57. % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3528) all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (3408), (3528) are inconsistent by sub-proof % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #128. % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3529) (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3529) gives: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.26 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3530) all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3530) implies: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3531) ~ (all_8_16 = e0) % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3342), (3531) imply: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3532) $false % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3532) is inconsistent. % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3533) (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_51 = all_8_56)) % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3533) gives: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3534) all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55) % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3534) implies: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3535) all_8_19 = e2 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3485), (3535) imply: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3536) e4 = e2 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3536) implies: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3537) e4 = e2 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3374), (3537) imply: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3538) $false % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3538) is inconsistent. % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3539) all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3539) implies: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3540) all_8_21 = e2 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3378), (3540) imply: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3541) all_4_8 = e2 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3458), (3541) imply: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3542) $false % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3542) is inconsistent. % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3543) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) | (all_8_35 = e1 & ~ (all_8_34 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_63 = all_8_68)) | (all_8_37 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_39 = e0 & ~ (all_8_38 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_53 = all_8_66)) | (all_8_41 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3543) gives: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3544) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3544) gives: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3545) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3545) gives: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3546) all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3546) implies: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3547) all_8_24 = e2 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3445), (3547) imply: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3548) e3 = e2 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3548) implies: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3549) e3 = e2 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (3549) imply: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3550) $false % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3550) is inconsistent. % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3551) all_8_26 = e2 & ~ (all_8_25 = e0) & ~ (all_8_58 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67) % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3551) implies: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3552) ~ (all_8_25 = e0) % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2085), (3552) imply: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3553) $false % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3553) is inconsistent. % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3554) (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3554) gives: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3555) all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (3503), (3555) are inconsistent by sub-proof % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #127. % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3556) (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61)) | (all_8_32 = e1 & ~ (all_8_31 = % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_57 = all_8_62)) % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3556) gives: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3557) all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3557) implies: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3558) all_8_30 = e1 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (3558) imply: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3559) op(all_4_8, e3) = e1 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3510) gives: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3560) all_10_21 = e4 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (3560) imply: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3561) all_4_9 = e4 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3561) implies: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3562) all_4_9 = e4 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (3562) imply: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3563) ~ (all_4_8 = e4) % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3436) gives: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3564) all_6_16 = e4 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (3563), (3564) are inconsistent by % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #54. % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3565) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3565) gives: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3566) all_6_16 = e2 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (3458), (3566) are inconsistent by % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #178. % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3567) all_6_16 = e3 | all_6_16 = e0 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3567) gives: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3568) all_6_16 = e3 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (3568) imply: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3569) all_4_8 = e3 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3569) implies: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3570) all_4_8 = e3 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3559), (3570) imply: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3571) op(e3, e3) = e1 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e1, e3, % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3313), (3571) gives: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3572) e1 = e0 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (609), (3572) imply: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3573) $false % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3573) is inconsistent. % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3574) all_6_16 = e0 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (534), (3574) are inconsistent by sub-proof % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #177. % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3575) ~ (all_10_21 = e4) % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (3575) imply: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3576) ~ (all_4_9 = e4) % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3441) gives: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3577) all_6_21 = e4 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (3577) imply: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3578) all_4_9 = e4 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3576), (3578) imply: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3579) $false % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3579) is inconsistent. % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3580) all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3474) gives: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3581) all_10_21 = e3 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (3581) imply: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3582) all_4_9 = e3 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3582) implies: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3583) all_4_9 = e3 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (3583) imply: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3584) ~ (all_4_8 = e3) % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3436) gives: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3585) all_6_16 = e4 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (3585) imply: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3586) all_4_8 = e4 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3586) implies: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3587) all_4_8 = e4 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3559), (3587) imply: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3588) op(e4, e3) = e1 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e1, e3, % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (3461), (3588) gives: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3589) e2 = e1 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3360), (3589) imply: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3590) $false % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3590) is inconsistent. % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3591) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (534), (3458), (3584), (3591) are % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #175. % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3592) ~ (all_10_21 = e3) % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (354), (503), (3336), (3464), (3580), (3592) are % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #53. % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3593) all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3593) implies: % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3594) all_8_32 = e1 % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3595) ~ (all_8_57 = all_8_62) % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.27 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (449), (3369), (3595) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3596) ~ (all_4_13 = e4) % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3596) implies: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3597) ~ (all_4_13 = e4) % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (3594) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3598) op(all_4_13, e2) = e1 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3433) gives: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3599) all_6_17 = e4 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (3597), (3599) are inconsistent by % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #52. % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3600) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3600) gives: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3601) all_6_17 = e2 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (3498), (3601) are inconsistent by % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #51. % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3602) all_6_17 = e3 | all_6_17 = e0 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3602) gives: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3603) all_6_17 = e3 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (3603) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3604) all_4_13 = e3 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3604) implies: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3605) all_4_13 = e3 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3598), (3605) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3606) op(e3, e2) = e1 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e1, e2, % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3501), (3606) gives: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3607) e2 = e1 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3360), (3607) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3608) $false % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3608) is inconsistent. % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3609) all_6_17 = e0 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (543), (3609) are inconsistent by sub-proof % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #50. % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3610) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) | (all_8_39 = % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3610) gives: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3611) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (618), (3339), (3478), (3611) are inconsistent by % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #125. % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3612) (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3612) gives: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3613) all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3613) implies: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3614) all_8_39 = e0 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3615) ~ (all_8_53 = all_8_66) % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (463), (3295), (3615) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3616) ~ (all_4_9 = e3) % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3616) implies: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3617) ~ (all_4_9 = e3) % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (3614) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3618) op(all_4_9, e3) = e0 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3441) gives: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3619) all_6_21 = e4 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (3619) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3620) all_4_9 = e4 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3620) implies: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3621) all_4_9 = e4 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3618), (3621) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3622) op(e4, e3) = e0 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e0, e3, % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (3461), (3622) gives: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3623) e2 = e0 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3339), (3623) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3624) $false % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3624) is inconsistent. % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625) all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (3336), (3464), (3617), (3625) are % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #96. % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3626) (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3626) gives: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3627) all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67) % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3627) implies: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3628) all_8_41 = e0 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3629) ~ (all_8_58 = all_8_67) % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (349), (2060), (3629) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3630) ~ (all_4_14 = e2) % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3630) implies: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3631) ~ (all_4_14 = e2) % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (590), (3628) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3632) op(all_4_14, e2) = e0 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3431) gives: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633) all_6_22 = e4 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (3633) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3634) all_4_14 = e4 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3632), (3634) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3635) op(e4, e2) = e0 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e0, e2, % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, simplifying with (23), (3635) gives: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3636) e1 = e0 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (609), (3636) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3637) $false % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3637) is inconsistent. % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3638) all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3638) gives: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3639) all_6_22 = e2 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (3639) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3640) all_4_14 = e2 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3631), (3640) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3641) $false % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3641) is inconsistent. % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3642) all_6_22 = e3 | all_6_22 = e0 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3642) gives: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3643) all_6_22 = e3 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (3643) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3644) all_4_14 = e3 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3632), (3644) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3645) op(e3, e2) = e0 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, e0, e2, % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3501), (3645) gives: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3646) e2 = e0 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3339), (3646) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3647) $false % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3647) is inconsistent. % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3648) all_6_22 = e0 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (3648) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3649) all_4_14 = e0 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3337), (3649) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3650) $false % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3650) is inconsistent. % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3651) all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68) % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (3466), (3651) are inconsistent by sub-proof % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #206. % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3652) ~ (all_10_5 = e2) % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (397), (3652) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3653) ~ (all_4_11 = e2) % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (2068), (3307), (3387), (3487), (3653) are % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #61. % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3654) ~ (all_10_2 = e4) % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (3654) imply: % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3655) ~ (all_4_1 = e4) % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (480), (519), (3301), (3412), (3480), (3655) are % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #49. % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3656) ~ (all_10_12 = e2) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3657) all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e2 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (3656) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3658) ~ (all_4_3 = e2) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3348) gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3659) all_6_15 = e4 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (3659) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3660) all_4_3 = e4 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3660) implies: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3661) all_4_3 = e4 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3409), (3661) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3662) all_8_37 = e4 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (3661) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3663) ~ (all_4_8 = e4) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3663) implies: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3664) ~ (all_4_8 = e4) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (3661) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3665) op(e4, e4) = all_8_28 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3436) gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3666) all_6_16 = e4 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (3666) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3667) all_4_8 = e4 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3664), (3667) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3668) $false % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3668) is inconsistent. % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3669) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3669) gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3670) all_6_16 = e2 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (3670) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3671) all_4_8 = e2 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3458), (3671) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3672) $false % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3672) is inconsistent. % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3673) ~ (all_6_16 = e2) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3674) all_6_16 = e3 | all_6_16 = e0 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3674) gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3675) all_6_16 = e3 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (3675) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3676) all_4_8 = e3 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3378), (3676) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3677) all_8_21 = e3 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (3676) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3678) ~ (all_4_9 = e3) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3678) implies: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3679) ~ (all_4_9 = e3) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (3676) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3680) ~ (all_4_13 = e3) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3680) implies: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3681) ~ (all_4_13 = e3) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (3676) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3682) op(e3, e3) = all_8_30 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3433) gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3683) all_6_17 = e4 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (3683) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3684) all_4_13 = e4 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3684) implies: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3685) all_4_13 = e4 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (3685) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3686) all_10_14 = e4 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (363), (369), (600), (3339), (3360), (3374), % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3458), (3657), (3686) are inconsistent by % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #116. % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3687) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3687) gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3688) all_6_17 = e2 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (3688) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3689) all_4_13 = e2 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3689) implies: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3690) all_4_13 = e2 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (3690) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3691) all_8_4 = e2 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (3690) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3692) ~ (all_4_11 = e2) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (3690) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3693) ~ (all_4_14 = e2) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3693) implies: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3694) ~ (all_4_14 = e2) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (3690) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3695) op(e2, e2) = all_8_32 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3387) gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696) all_6_7 = e4 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (3696) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3697) all_4_11 = e4 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3697) implies: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3698) all_4_11 = e4 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (621), (3698) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3699) all_8_18 = e4 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (3698) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3700) ~ (all_4_1 = e4) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (3698) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3701) op(e4, e3) = all_8_12 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (3698) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3702) op(e4, e2) = all_8_13 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (3698) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3703) op(e3, e2) = e4 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3704) all_10_2 = e2 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (3704) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3705) all_4_1 = e2 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3705) implies: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3706) all_4_1 = e2 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (3706) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3707) all_8_50 = e2 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3441) gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3708) all_6_21 = e4 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (3708) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3709) all_4_9 = e4 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (3709) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3710) ~ (all_4_14 = e4) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3710) implies: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3711) ~ (all_4_14 = e4) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (3709) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3712) op(e4, e3) = all_8_39 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3431) gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3713) all_6_22 = e4 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (3713) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3714) all_4_14 = e4 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3711), (3714) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3715) $false % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3715) is inconsistent. % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3716) all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3716) gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3717) all_6_22 = e2 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (3717) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3718) all_4_14 = e2 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3694), (3718) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3719) $false % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3719) is inconsistent. % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3720) ~ (all_6_22 = e2) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3721) all_6_22 = e3 | all_6_22 = e0 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3721) gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3722) all_6_22 = e3 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (3722) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3723) all_4_14 = e3 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (590), (3723) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3724) op(e3, e2) = all_8_41 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_32, % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (2081), (3695) gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3725) all_8_32 = e0 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_41, % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (3703), (3724) gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3726) all_8_41 = e4 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_30, % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (3313), (3682) gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3727) all_8_30 = e0 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_13, % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (23), (3702) gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3728) all_8_13 = e1 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_12, % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (3461), (3701) gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3729) all_8_12 = e2 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_39, % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12, e3, e4, simplifying with (3701), (3712) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3730) all_8_12 = all_8_39 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_28, % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (3331), (3665) gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3731) all_8_28 = e0 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3729), (3730) imply: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3732) all_8_39 = e2 % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3733) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) | (all_8_13 = % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3733) gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3734) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3734) gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3735) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3735) gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3736) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (3467), (3736) are inconsistent by sub-proof % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #216. % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3737) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3374), (3691), (3737) are inconsistent by % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #48. % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3738) (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_8 = e4 & ~ (all_8_7 = e0) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_48 = all_8_65)) | (all_8_10 = e3 & % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3738) gives: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3739) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (3469), (3739) are inconsistent by sub-proof % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #59. % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3740) (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 70.98/11.29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3740) gives: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3741) all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3741) implies: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3742) ~ (all_8_7 = e0) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3343), (3742) imply: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3743) $false % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3743) is inconsistent. % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3744) all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3744) implies: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3745) ~ (all_8_45 = all_8_50) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3456), (3707), (3745) imply: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3746) $false % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3746) is inconsistent. % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3747) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3747) gives: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3748) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3748) gives: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3749) all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (3728), (3749) are inconsistent by sub-proof % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #149. % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3750) all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (3408), (3750) are inconsistent by sub-proof % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #213. % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3751) (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3751) gives: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3752) all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3752) implies: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3753) ~ (all_8_16 = e0) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3342), (3753) imply: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3754) $false % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3754) is inconsistent. % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3755) (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_51 = all_8_56)) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3755) gives: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3756) all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3756) implies: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3757) ~ (all_8_18 = e4) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3699), (3757) imply: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3758) $false % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3758) is inconsistent. % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3759) all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (3677), (3759) are inconsistent by sub-proof % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #98. % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3760) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) | (all_8_35 = e1 & ~ (all_8_34 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_63 = all_8_68)) | (all_8_37 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_39 = e0 & ~ (all_8_38 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_53 = all_8_66)) | (all_8_41 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3760) gives: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3761) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3761) gives: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3762) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (2085), (3445), (3762) are inconsistent by % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #78. % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3763) (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3763) gives: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3764) all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3764) implies: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3765) all_8_28 = e1 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3731), (3765) imply: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3766) e1 = e0 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3766) implies: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3767) e1 = e0 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (372), (388), (601), (609), (3400), (3401), % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3767) are inconsistent by sub-proof #46. % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3768) (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61)) | (all_8_32 = e1 & ~ (all_8_31 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_57 = all_8_62)) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3768) gives: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3769) all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3769) implies: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3770) all_8_30 = e1 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3727), (3770) imply: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3771) e1 = e0 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (372), (388), (601), (609), (3400), (3401), % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3771) are inconsistent by sub-proof #46. % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3772) all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3772) implies: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3773) all_8_32 = e1 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3725), (3773) imply: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3774) e1 = e0 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (372), (388), (601), (609), (3400), (3401), % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3774) are inconsistent by sub-proof #46. % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3775) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) | (all_8_39 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3775) gives: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3776) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3776) gives: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3777) all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3777) implies: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3778) ~ (all_8_34 = e0) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (618), (3778) imply: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3779) $false % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3779) is inconsistent. % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3780) all_8_37 = e0 & ~ (all_8_36 = e4) & ~ (all_8_48 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_65) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3780) implies: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3781) all_8_37 = e0 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3662), (3781) imply: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3782) e4 = e0 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3782) implies: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3783) e4 = e0 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (3783) imply: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3784) $false % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3784) is inconsistent. % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3785) (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3785) gives: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3786) all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3339), (3732), (3786) are inconsistent by % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45. % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3787) (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3787) gives: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3788) all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67) % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (3726), (3788) are inconsistent by sub-proof % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #44. % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3789) all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68) % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (3466), (3789) are inconsistent by sub-proof % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #206. % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3790) all_6_22 = e0 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (3790) imply: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3791) all_4_14 = e0 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3337), (3791) imply: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3792) $false % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3792) is inconsistent. % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3793) all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (3336), (3464), (3679), (3793) are % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #96. % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3794) ~ (all_10_2 = e2) % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (3794) imply: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3795) ~ (all_4_1 = e2) % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (190), (480), (519), (3301), (3394), (3700), % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3795) are inconsistent by sub-proof #137. % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3796) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (2068), (3307), (3692), (3796) are % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #135. % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3797) all_6_17 = e3 | all_6_17 = e0 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (543), (3681), (3797) are inconsistent by % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #195. % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3798) all_6_16 = e0 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (3798) imply: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3799) all_4_8 = e0 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (534), (3799) imply: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3800) $false % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3800) is inconsistent. % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3801) all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (521), (532), (3658), (3801) are % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #159. % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3802) ~ (all_6_23 = e2) % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (506), (3802) imply: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3803) ~ (all_4_19 = e2) % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3804) all_10_9 = e2 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (3442), (3804) are inconsistent by sub-proof % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #43. % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3805) all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e2 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (363), (378), (491), (515), (529), (546), (2072), % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3339), (3360), (3366), (3393), (3803), (3805) are % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #230. % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3806) all_6_1 = e3 | all_6_1 = e0 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (3328), (3446), (3806) are inconsistent by % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #187. % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3807) ~ (all_10_9 = e3) % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3808) all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e3 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (409), (3807) imply: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3809) ~ (all_4_15 = e3) % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (341) gives: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3810) all_10_0 = e3 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (3323), (3810) are inconsistent by sub-proof % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #42. % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3811) all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e3 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3811) gives: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3812) all_10_1 = e3 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (3812) imply: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3813) all_4_5 = e3 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (3813) imply: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3814) ~ (all_4_8 = e3) % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3814) implies: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3815) ~ (all_4_8 = e3) % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3319), (3813) imply: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3816) ~ (e4 = e3) % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (551), (3813) imply: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3817) op(e3, e4) = all_8_1 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (3813) imply: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3818) op(e3, e3) = all_8_2 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (3813) imply: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3819) op(e4, e3) = e3 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3820) all_10_0 = e2 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3323), (3339), (3820) are inconsistent by % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #180. % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3821) all_10_1 = e2 | all_10_4 = e2 | all_10_9 = e2 | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e2 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3821) gives: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3822) all_10_1 = e2 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3812), (3822) imply: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3823) e3 = e2 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (3823) imply: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3824) $false % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3824) is inconsistent. % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3825) all_10_4 = e2 | all_10_9 = e2 | all_10_16 = e2 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3825) gives: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3826) all_10_4 = e2 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (3826) imply: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3827) e2 = e1 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3360), (3827) imply: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3828) $false % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3828) is inconsistent. % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3829) all_10_9 = e2 | all_10_16 = e2 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3830) all_10_12 = e3 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (372), (521), (3830) are inconsistent by sub-proof % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #224. % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3831) all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e3 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3829) gives: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3832) all_10_9 = e2 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (3832) imply: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3833) all_4_15 = e2 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3833) implies: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3834) all_4_15 = e2 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (3834) imply: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3835) all_8_47 = e2 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (3834) imply: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3836) ~ (all_4_19 = e2) % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3836) implies: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3837) ~ (all_4_19 = e2) % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (3834) imply: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3838) op(e2, e4) = all_8_5 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3808) gives: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3839) all_10_10 = e3 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3393), (3839) imply: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3840) e3 = e1 % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (3840) imply: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3841) $false % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3841) is inconsistent. % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3842) ~ (all_10_10 = e3) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3843) all_10_11 = e3 | all_10_15 = e3 | all_10_23 = e3 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3831) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3844) all_10_13 = e3 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (369), (3815), (3844) are inconsistent by % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #220. % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3845) all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3845) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3846) all_10_14 = e3 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (3846) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3847) all_4_13 = e3 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3847) implies: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3848) all_4_13 = e3 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (3848) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3849) all_8_4 = e3 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (3848) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3850) op(e3, e2) = all_8_32 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (3848) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3851) op(e3, e1) = all_8_31 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3843) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3852) all_10_11 = e3 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (3370), (3852) are inconsistent by sub-proof % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #115. % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3853) all_10_15 = e3 | all_10_23 = e3 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3853) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3854) all_10_15 = e3 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (363), (3854) are inconsistent by sub-proof % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #191. % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3855) all_10_23 = e3 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (3855) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3856) all_4_19 = e3 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3856) implies: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3857) all_4_19 = e3 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (3857) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3858) ~ (all_4_9 = e3) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (3857) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3859) ~ (all_4_14 = e3) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (3857) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3860) op(e3, e1) = all_8_43 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_5, % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (22), (3838) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3861) all_8_5 = e3 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_31, % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (3396), (3851) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3862) all_8_31 = e1 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_43, % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_31, e1, e3, simplifying with (3851), (3860) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3863) all_8_31 = all_8_43 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_11, % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_32, e2, e3, simplifying with (141), (3850) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3864) all_8_32 = all_4_11 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_2, % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (3313), (3818) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3865) all_8_2 = e0 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_1, % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_1, e4, e3, simplifying with (143), (3817) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3866) all_8_1 = all_4_1 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3862), (3863) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3867) all_8_43 = e1 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3868) all_10_1 = e2 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3812), (3868) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3869) e3 = e2 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (3869) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3870) $false % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3870) is inconsistent. % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3871) all_10_3 = e2 | all_10_7 = e2 | all_10_13 = e2 | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e2 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (330) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3872) all_10_2 = e4 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (3872) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3873) all_4_1 = e4 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (622), (3873) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3874) all_8_19 = e4 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (3873) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3875) ~ (all_4_3 = e4) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3875) implies: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3876) ~ (all_4_3 = e4) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (3873) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3877) ~ (all_4_11 = e4) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3877) implies: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3878) ~ (all_4_11 = e4) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (3873) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3879) op(e4, e4) = all_8_10 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (3873) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3880) op(e4, e3) = all_8_9 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3348) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3881) all_6_15 = e4 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (3876), (3881) are inconsistent by % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #266. % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3882) ~ (all_6_15 = e4) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3883) all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3884) all_10_12 = e4 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (3884) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3885) all_4_3 = e4 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3876), (3885) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3886) $false % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3886) is inconsistent. % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3887) all_10_13 = e4 | all_10_14 = e4 | all_10_15 = e4 | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e4 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3387) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3888) all_6_7 = e4 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (3878), (3888) are inconsistent by % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41. % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3889) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3887) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3890) all_10_13 = e4 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (3890) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3891) all_4_8 = e4 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3891) implies: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3892) all_4_8 = e4 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3378), (3892) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3893) all_8_21 = e4 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (3892) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3894) op(e4, e3) = all_8_30 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3895) all_10_12 = e2 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (3895) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3896) all_4_3 = e2 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (445), (3896) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3897) all_8_60 = e2 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3409), (3896) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3898) all_8_37 = e2 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (3896) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3899) op(e2, e4) = all_8_28 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3889) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3900) all_6_7 = e2 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (3900) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3901) all_4_11 = e2 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3864), (3901) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3902) all_8_32 = e2 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (3901) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3903) ~ (all_4_14 = e2) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3903) implies: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3904) ~ (all_4_14 = e2) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (3901) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3905) op(e2, e3) = all_8_12 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (3901) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3906) op(e2, e2) = all_8_13 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3431) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3907) all_6_22 = e4 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (3907) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3908) all_4_14 = e4 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (3908) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3909) ~ (all_4_9 = e4) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (590), (3908) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3910) op(e4, e2) = all_8_41 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3441) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3911) all_6_21 = e4 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (3911) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3912) all_4_9 = e4 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3909), (3912) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3913) $false % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3913) is inconsistent. % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3914) ~ (all_6_21 = e4) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3915) all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3915) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3916) all_6_21 = e2 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (3916) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3917) all_4_9 = e2 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3909), (3917) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3918) ~ (e4 = e2) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (3917) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3919) op(e2, e3) = all_8_39 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_13, % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (2081), (3906) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3920) all_8_13 = e0 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_12, % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (3362), (3905) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3921) all_8_12 = e1 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_39, % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12, e3, e2, simplifying with (3905), (3919) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3922) all_8_12 = all_8_39 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_28, % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (22), (3899) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3923) all_8_28 = e3 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_41, % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (23), (3910) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3924) all_8_41 = e1 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_9, % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (3819), (3880) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3925) all_8_9 = e3 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_30, % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_9, e3, e4, simplifying with (3880), (3894) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3926) all_8_9 = all_8_30 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_10, % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (3331), (3879) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3927) all_8_10 = e0 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3925), (3926) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3928) all_8_30 = e3 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3928) implies: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3929) all_8_30 = e3 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3921), (3922) imply: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3930) all_8_39 = e1 % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3931) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) | (all_8_13 = % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3931) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3932) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3932) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3933) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3933) gives: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3934) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (3865), (3934) are inconsistent by sub-proof % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #40. % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3935) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (3849), (3935) are inconsistent by sub-proof % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #215. % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3936) (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_8 = e4 & ~ (all_8_7 = e0) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_48 = all_8_65)) | (all_8_10 = e3 & % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3936) gives: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3937) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3937) implies: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3938) ~ (all_8_47 = all_8_60) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3835), (3897), (3938) imply: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3939) $false % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3939) is inconsistent. % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3940) (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (3343), (3927), (3940) are inconsistent by % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #58. % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3941) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3941) gives: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3942) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3942) gives: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3943) all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (3920), (3943) are inconsistent by sub-proof % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #57. % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3944) all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (3408), (3944) are inconsistent by sub-proof % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #213. % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3945) (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3945) gives: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3946) all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3946) implies: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3947) ~ (all_8_16 = e0) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3342), (3947) imply: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3948) $false % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3948) is inconsistent. % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3949) (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_51 = all_8_56)) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3374), (3874), (3893), (3949) are inconsistent by % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #210. % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3950) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) | (all_8_35 = e1 & ~ (all_8_34 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_63 = all_8_68)) | (all_8_37 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_39 = e0 & ~ (all_8_38 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_53 = all_8_66)) | (all_8_41 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3950) gives: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3951) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3951) gives: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3952) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2085), (3380), (3952) are inconsistent by % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #108. % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3953) (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3953) gives: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3954) all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (3923), (3954) are inconsistent by sub-proof % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #208. % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3955) (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61)) | (all_8_32 = e1 & ~ (all_8_31 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_57 = all_8_62)) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3955) gives: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3956) all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3956) implies: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3957) all_8_30 = e1 % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3929), (3957) imply: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3958) e3 = e1 % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3958) implies: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3959) e3 = e1 % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (3959) imply: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3960) $false % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3960) is inconsistent. % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3961) all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3360), (3902), (3961) are inconsistent by % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #105. % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3962) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) | (all_8_39 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3962) gives: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3963) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (618), (3339), (3898), (3963) are inconsistent by % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #125. % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3964) (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (388), (609), (3360), (3400), (3401), % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3867), (3895), (3924), (3930), (3964) are % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #103. % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 70.98/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3965) all_6_21 = e3 | all_6_21 = e0 % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (3336), (3858), (3965) are inconsistent by % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #122. % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3966) all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0 % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (504), (3337), (3859), (3904), (3966) are % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #100. % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3967) all_6_7 = e3 | all_6_7 = e0 % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (2068), (3307), (3967) are inconsistent by % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #136. % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3968) ~ (all_10_12 = e2) % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (3968) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3969) ~ (all_4_3 = e2) % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (521), (532), (3883), (3969) are % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #159. % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970) ~ (all_10_13 = e4) % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (3970) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3971) ~ (all_4_8 = e4) % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (101), (494), (496), (521), (532), (534), (3436), % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3815), (3883), (3971) are inconsistent by % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #39. % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3972) ~ (all_10_2 = e4) % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (3972) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3973) ~ (all_4_1 = e4) % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3412) gives: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3974) all_6_5 = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (480), (3974) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3975) all_4_1 = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3973), (3975) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3976) $false % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3976) is inconsistent. % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3977) all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3977) gives: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3978) all_6_5 = e2 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (480), (3978) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3979) all_4_1 = e2 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (3979) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3980) ~ (all_4_3 = e2) % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3980) implies: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3981) ~ (all_4_3 = e2) % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (3979) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3982) ~ (all_4_11 = e2) % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3982) implies: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3983) ~ (all_4_11 = e2) % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (3979) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3984) op(e2, e3) = all_8_9 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (3979) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3985) op(e3, e4) = e2 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3348) gives: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3986) all_6_15 = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (3986) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3987) all_4_3 = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3987) implies: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3988) all_4_3 = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (3988) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3989) all_10_12 = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (3988) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3990) ~ (all_4_8 = e4) % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3990) implies: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3991) ~ (all_4_8 = e4) % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (3988) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3992) op(e4, e4) = all_8_28 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (133), (3988) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3993) op(e1, e4) = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3994) all_10_1 = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3812), (3994) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3995) e4 = e3 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3995) implies: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3996) e4 = e3 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (3996) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3997) $false % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3997) is inconsistent. % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3998) all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3387) gives: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3999) all_6_7 = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (3999) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4000) all_4_11 = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (4000) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4001) op(e4, e3) = all_8_12 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (4000) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4002) op(e4, e2) = all_8_13 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (4000) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4003) op(e3, e2) = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4004) all_10_12 = e2 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3989), (4004) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4005) e4 = e2 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3374), (4005) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4006) $false % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4006) is inconsistent. % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4007) all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e2 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3871) gives: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4008) all_10_3 = e2 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3300), (4008) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4009) e2 = e0 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3339), (4009) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4010) $false % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4010) is inconsistent. % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4011) ~ (all_10_3 = e2) % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4012) all_10_7 = e2 | all_10_13 = e2 | all_10_21 = e2 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4007) gives: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4013) all_10_13 = e2 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (4013) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4014) all_4_8 = e2 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4014) implies: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4015) all_4_8 = e2 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (4015) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4016) ~ (all_4_9 = e2) % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4016) implies: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4017) ~ (all_4_9 = e2) % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3991), (4015) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4018) ~ (e4 = e2) % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (4015) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4019) op(e2, e3) = all_8_30 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3998) gives: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4020) all_10_3 = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3300), (4020) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4021) e4 = e0 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (4021) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4022) $false % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4022) is inconsistent. % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4023) all_10_7 = e4 | all_10_13 = e4 | all_10_21 = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4023) gives: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4024) all_10_7 = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3352), (4024) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025) e4 = e1 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (4025) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4026) $false % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4026) is inconsistent. % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4027) all_10_13 = e4 | all_10_21 = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4027) gives: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4028) all_10_13 = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (354), (3352), (3360), (3374), (4012), (4017), % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4028) are inconsistent by sub-proof #238. % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4029) all_10_21 = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (4029) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4030) all_4_9 = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (4030) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4031) op(e4, e3) = all_8_39 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (4030) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4032) op(e0, e3) = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_9, % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (3362), (3984) gives: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4033) all_8_9 = e1 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_30, % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_9, e3, e2, simplifying with (3984), (4019) % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4034) all_8_9 = all_8_30 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_13, % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (23), (4002) gives: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4035) all_8_13 = e1 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_12, % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (3819), (4001) gives: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4036) all_8_12 = e3 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_39, % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12, e3, e4, simplifying with (4001), (4031) % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4037) all_8_12 = all_8_39 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_28, % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (3331), (3992) gives: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4038) all_8_28 = e0 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4033), (4034) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4039) all_8_30 = e1 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4036), (4037) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4040) all_8_39 = e3 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4040) implies: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4041) all_8_39 = e3 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3426) gives: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4042) unit = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (4042) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4043) op(e4, e4) = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (4042) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4044) op(e1, e4) = e1 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (609), (3331), (3993), (4043), (4044), % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #165. % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4045) unit = e3 | unit = e2 | unit = e0 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4045) gives: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4046) unit = e2 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (4046) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4047) op(e4, e2) = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5), (4046) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4048) op(e3, e2) = e3 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (23), (4003), (4047), (4048), % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #164. % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4049) unit = e3 | unit = e0 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4049) gives: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4050) unit = e3 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (4050) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051) op(e3, e4) = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6), (4050) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4052) op(e4, e3) = e4 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4), (4050) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4053) op(e2, e3) = e2 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2), (4050) imply: % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4054) op(e0, e3) = e0 % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (609), (3362), (3819), (3985), (4032), (4051), % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4052), (4053), (4054), (function-axioms) are % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #163. % 71.30/11.34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4055) unit = e0 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (4055) imply: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4056) op(e0, e4) = e4 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (4055) imply: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4057) op(e0, e3) = e3 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e3, e3, % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4032), (4057) gives: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4058) e4 = e3 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, e4, e4, % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3407), (4056) gives: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4059) e4 = e1 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4058), (4059) imply: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4060) e3 = e1 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (4060) imply: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4061) $false % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4061) is inconsistent. % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4062) all_10_14 = e2 | all_10_15 = e2 | all_10_19 = e2 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (363), (600), (3339), (3360), (3846), (4062) % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #192. % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4063) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (2068), (3307), (3983), (4063) are % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #135. % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4064) all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (521), (532), (3981), (4064) are % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #159. % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4065) all_6_5 = e3 | all_6_5 = e0 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (480), (519), (3301), (4065) are inconsistent by % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #257. % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4066) all_10_15 = e3 | all_10_19 = e3 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (363), (600), (4066) are inconsistent % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #56. % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4067) all_10_16 = e2 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3316), (4067) imply: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4068) e4 = e2 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3374), (4068) imply: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4069) $false % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4069) is inconsistent. % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4070) all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (20), (409), (413), (3316), (3809), (4070) % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #38. % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | (4071) ~ (all_10_20 = e1) % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (4071) imply: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | (4072) ~ (all_4_4 = e1) % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (357), (372), (388), (601), (3400), (4072) % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #92. % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | (4073) ~ (all_6_8 = e1) % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | (4074) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | all_6_8 = e0 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | REDUCE: (483), (4073) imply: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | (4075) ~ (all_4_16 = e1) % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (328) gives: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | (4076) all_10_2 = e1 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (4076) imply: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | (4077) all_4_1 = e1 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4077) implies: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | (4078) all_4_1 = e1 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (622), (4078) imply: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | (4079) all_8_19 = e1 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (4078) imply: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | (4080) ~ (all_4_4 = e1) % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | SIMP: (4080) implies: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | (4081) ~ (all_4_4 = e1) % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (4078) imply: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | (4082) op(e1, e4) = all_8_10 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | (4083) all_10_20 = e1 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (357), (4081), (4083) are inconsistent by % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #93. % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | (4084) all_10_21 = e1 | all_10_22 = e1 | all_10_23 = e1 | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e1 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4084) gives: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | (4085) all_10_21 = e1 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (4085) imply: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | (4086) all_4_9 = e1 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4086) implies: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | (4087) all_4_9 = e1 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3355), (4087) imply: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | (4088) $false % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4088) is inconsistent. % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | (4089) all_10_22 = e1 | all_10_23 = e1 | all_10_24 = e1 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4089) gives: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | (4090) all_10_22 = e1 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (540), (4090) are inconsistent by sub-proof % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | #37. % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | (4091) all_10_23 = e1 | all_10_24 = e1 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4091) gives: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (4092) all_10_23 = e1 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (4092) imply: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (4093) all_4_19 = e1 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4093) implies: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (4094) all_4_19 = e1 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (346), (4094) imply: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | (4095) all_8_68 = e1 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4074) gives: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4096) all_6_8 = e4 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (3371), (4096) are inconsistent by % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #201. % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4097) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4097) gives: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4098) all_6_8 = e2 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (4098) imply: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4099) all_4_16 = e2 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4099) implies: % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4100) all_4_16 = e2 % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (4100) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4101) ~ (all_4_11 = e2) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (4100) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4102) ~ (all_4_15 = e2) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (4100) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4103) op(e2, e3) = all_8_14 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (4100) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4104) op(e2, e1) = all_8_15 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (4100) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4105) op(e3, e1) = e2 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4106) all_10_0 = e2 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3323), (3339), (4106) are inconsistent by % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #180. % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4107) all_10_1 = e2 | all_10_4 = e2 | all_10_9 = e2 | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e2 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4107) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4108) all_10_1 = e2 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (4108) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4109) all_4_5 = e2 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (4109) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4110) ~ (all_4_8 = e2) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4110) implies: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4111) ~ (all_4_8 = e2) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (4109) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4112) ~ (all_4_15 = e2) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (551), (4109) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4113) op(e2, e4) = all_8_1 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (4109) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4114) op(e2, e3) = all_8_2 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (4109) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4115) op(e4, e3) = e2 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3387) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4116) all_6_7 = e4 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (4116) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4117) all_4_11 = e4 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4117) implies: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4118) all_4_11 = e4 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (4118) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4119) all_10_5 = e4 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (4118) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4120) ~ (all_4_13 = e4) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4120) implies: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4121) ~ (all_4_13 = e4) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (4118) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4122) ~ (all_4_14 = e4) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4122) implies: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4123) ~ (all_4_14 = e4) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (4118) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4124) op(e4, e3) = all_8_12 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (4118) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4125) op(e4, e2) = all_8_13 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (4118) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4126) op(e3, e2) = e4 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4127) all_10_9 = e3 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (4127) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4128) all_4_15 = e3 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4128) implies: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4129) all_4_15 = e3 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3379), (4129) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4130) all_8_24 = e3 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (556), (4129) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4131) op(e3, e1) = all_8_6 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_3, % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_10, e4, e1, simplifying with (133), (4082) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4132) all_8_10 = all_4_3 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_15, % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (3377), (4104) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4133) all_8_15 = e4 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_2, % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (3362), (4114) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4134) all_8_2 = e1 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_14, % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_2, e3, e2, simplifying with (4103), (4114) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4135) all_8_2 = all_8_14 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_1, % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (22), (4113) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4136) all_8_1 = e3 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_6, % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (4105), (4131) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4137) all_8_6 = e2 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_13, % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (23), (4125) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4138) all_8_13 = e1 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_12, % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (4115), (4124) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4139) all_8_12 = e2 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4134), (4135) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4140) all_8_14 = e1 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4141) all_6_16 = e1 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (602), (4141) are inconsistent by sub-proof % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #242. % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4142) ~ (all_6_16 = e1) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4143) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4144) all_6_20 = e1 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (4081), (4144) are inconsistent by % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #160. % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4145) ~ (all_6_20 = e1) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4146) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_20 = e0 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4147) all_6_22 = e1 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (4147) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4148) all_4_14 = e1 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (540), (4148) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4149) $false % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4149) is inconsistent. % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4150) ~ (all_6_22 = e1) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4151) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_22 = e0 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4152) all_6_21 = e1 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (3355), (4152) are inconsistent by % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #132. % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4153) ~ (all_6_21 = e1) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4154) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_21 = e0 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4155) all_6_17 = e1 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (603), (4155) are inconsistent by sub-proof % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #182. % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4156) ~ (all_6_17 = e1) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4157) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_17 = e0 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (339) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4158) all_10_0 = e2 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3323), (3339), (4158) are inconsistent by % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #180. % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4159) all_10_2 = e2 | all_10_6 = e2 | all_10_12 = e2 | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e2 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4160) all_10_20 = e2 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (4160) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4161) all_4_4 = e2 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4161) implies: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4162) all_4_4 = e2 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (4162) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4163) ~ (all_4_3 = e2) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (97), (4162) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4164) ~ (all_4_9 = e2) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4164) implies: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4165) ~ (all_4_9 = e2) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (4162) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4166) ~ (all_4_14 = e2) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4166) implies: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4167) ~ (all_4_14 = e2) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (4162) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4168) op(e2, e4) = all_8_37 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (324) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4169) all_10_4 = e2 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (413), (3360), (4169) are inconsistent by % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36. % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4170) all_10_5 = e2 | all_10_8 = e2 | all_10_14 = e2 | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22 = e2 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4170) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4171) all_10_5 = e2 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4119), (4171) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4172) e4 = e2 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4172) implies: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4173) e4 = e2 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3374), (4173) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4174) $false % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4174) is inconsistent. % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4175) ~ (all_10_5 = e2) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4176) all_10_8 = e2 | all_10_14 = e2 | all_10_22 = e2 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4176) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4177) all_10_8 = e2 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2065), (4177) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4178) e2 = e0 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4178) implies: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4179) e2 = e0 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3339), (4179) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4180) $false % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4180) is inconsistent. % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4181) all_10_14 = e2 | all_10_22 = e2 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4182) all_10_20 = e4 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4160), (4182) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4183) e4 = e2 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3374), (4183) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4184) $false % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4184) is inconsistent. % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4185) all_10_21 = e4 | all_10_22 = e4 | all_10_23 = e4 | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e4 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3348) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4186) all_6_15 = e4 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (4186) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4187) all_4_3 = e4 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4132), (4187) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4188) all_8_10 = e4 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (4187) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4189) ~ (all_4_8 = e4) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4189) implies: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4190) ~ (all_4_8 = e4) % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (4187) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4191) op(e4, e4) = all_8_28 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4185) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4192) all_10_21 = e4 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (4192) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4193) all_4_9 = e4 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4193) implies: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4194) all_4_9 = e4 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (4194) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4195) op(e4, e3) = all_8_39 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4196) all_10_1 = e3 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (4108), (4196) are inconsistent by sub-proof % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #68. % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4197) all_10_3 = e3 | all_10_7 = e3 | all_10_13 = e3 | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e3 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4197) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4198) all_10_3 = e3 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3300), (4198) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4199) e3 = e0 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (4199) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4200) $false % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4200) is inconsistent. % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4201) all_10_7 = e3 | all_10_13 = e3 | all_10_21 = e3 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4201) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4202) all_10_7 = e3 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3352), (4202) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4203) e3 = e1 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (4203) imply: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4204) $false % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4204) is inconsistent. % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4205) all_10_13 = e3 | all_10_21 = e3 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4151) gives: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4206) all_6_22 = e4 % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (504), (4123), (4206) are inconsistent by % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #35. % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4207) ~ (all_6_22 = e4) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4208) all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4208) gives: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4209) all_6_22 = e2 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (504), (4167), (4209) are inconsistent by % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #34. % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4210) ~ (all_6_22 = e2) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4211) all_6_22 = e3 | all_6_22 = e0 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4205) gives: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4212) all_10_13 = e3 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (4212) imply: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4213) all_4_8 = e3 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4213) implies: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4214) all_4_8 = e3 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3378), (4214) imply: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4215) all_8_21 = e3 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (4214) imply: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4216) op(e3, e3) = all_8_30 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4181) gives: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4217) all_10_14 = e2 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (4217) imply: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4218) all_4_13 = e2 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4218) implies: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4219) all_4_13 = e2 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (4219) imply: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4220) all_8_4 = e2 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4121), (4219) imply: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4221) ~ (e4 = e2) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (4219) imply: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4222) op(e2, e2) = all_8_32 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4211) gives: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4223) all_6_22 = e3 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (4223) imply: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4224) all_4_14 = e3 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4123), (4224) imply: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4225) ~ (e4 = e3) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (590), (4224) imply: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4226) op(e3, e2) = all_8_41 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_32, % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (2081), (4222) gives: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4227) all_8_32 = e0 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_37, % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (22), (4168) gives: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4228) all_8_37 = e3 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_41, % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (4126), (4226) gives: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4229) all_8_41 = e4 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_30, % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (3313), (4216) gives: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4230) all_8_30 = e0 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_39, % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (4115), (4195) gives: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4231) all_8_39 = e2 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_28, % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (3331), (4191) gives: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4232) all_8_28 = e0 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4233) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) | (all_8_13 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4233) gives: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4234) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4234) gives: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4235) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4235) gives: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4236) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (4134), (4236) are inconsistent by sub-proof % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #216. % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4237) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4237) implies: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4238) all_8_4 = e4 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4220), (4238) imply: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4239) e4 = e2 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4239) implies: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4240) e4 = e2 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3374), (4240) imply: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4241) $false % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4241) is inconsistent. % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4242) (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_8 = e4 & ~ (all_8_7 = e0) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_48 = all_8_65)) | (all_8_10 = e3 & % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4242) gives: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4243) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3374), (4137), (4243) are inconsistent by % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #151. % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4244) (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4244) gives: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4245) all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4245) implies: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4246) ~ (all_8_7 = e0) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3343), (4246) imply: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4247) $false % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4247) is inconsistent. % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4248) all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4248) implies: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4249) all_8_10 = e3 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4188), (4249) imply: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4250) e4 = e3 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4250) implies: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4251) e4 = e3 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (4251) imply: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4252) $false % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4252) is inconsistent. % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4253) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4253) gives: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4254) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (20), (4133), (4138), (4254) are % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #64. % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4255) (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (3342), (3360), (4079), (4215), (4255) are % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #33. % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4256) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) | (all_8_35 = e1 & ~ (all_8_34 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_63 = all_8_68)) | (all_8_37 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_39 = e0 & ~ (all_8_38 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_53 = all_8_66)) | (all_8_41 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4256) gives: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4257) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4257) gives: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4258) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (2085), (4130), (4258) are inconsistent by % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #78. % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4259) (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (609), (4227), (4230), (4232), (4259) are % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #31. % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4260) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) | (all_8_39 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4260) gives: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4261) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4261) gives: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4262) all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4262) implies: % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4263) ~ (all_8_63 = all_8_68) % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (597), (4095), (4263) imply: % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4264) $false % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4264) is inconsistent. % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4265) all_8_37 = e0 & ~ (all_8_36 = e4) & ~ (all_8_48 % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_65) % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (4228), (4265) are inconsistent by sub-proof % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #30. % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4266) (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4266) gives: % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4267) all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3339), (4231), (4267) are inconsistent by % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45. % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.30/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4268) (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4268) gives: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4269) all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67) % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (4229), (4269) are inconsistent by sub-proof % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #44. % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4270) all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68) % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4270) implies: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4271) ~ (all_8_63 = all_8_68) % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (597), (4095), (4271) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4272) $false % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4272) is inconsistent. % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4273) all_6_22 = e0 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (4273) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4274) all_4_14 = e0 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3337), (4274) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4275) $false % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4275) is inconsistent. % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4276) all_10_22 = e2 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (4276) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4277) all_4_14 = e2 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4167), (4277) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4278) $false % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4278) is inconsistent. % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4279) all_10_21 = e3 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4192), (4279) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4280) e4 = e3 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4280) implies: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4281) e4 = e3 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (4281) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4282) $false % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4282) is inconsistent. % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4283) ~ (all_10_21 = e4) % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (4283) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4284) ~ (all_4_9 = e4) % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (75), (496), (503), (534), (3336), (4111), (4143), % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4154), (4165), (4190), (4284) are inconsistent by % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #29. % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4285) all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (521), (532), (4163), (4285) are % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #159. % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4286) ~ (all_10_20 = e2) % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (357), (4286) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4287) ~ (all_4_4 = e2) % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4159) gives: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4288) all_10_2 = e2 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4076), (4288) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4289) e2 = e1 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4289) implies: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4290) e2 = e1 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3360), (4290) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4291) $false % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4291) is inconsistent. % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4292) all_10_6 = e2 | all_10_12 = e2 | all_10_20 = e2 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4292) gives: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4293) all_10_6 = e2 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (388), (4293) are inconsistent by sub-proof % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #179. % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4294) all_10_12 = e2 | all_10_20 = e2 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4294) gives: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4295) all_10_12 = e2 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (4295) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4296) all_4_3 = e2 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4132), (4296) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4297) all_8_10 = e2 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (4296) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4298) ~ (all_4_4 = e2) % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (4296) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4299) ~ (all_4_13 = e2) % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4299) implies: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4300) ~ (all_4_13 = e2) % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (4296) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4301) op(e2, e4) = all_8_28 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4157) gives: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4302) all_6_17 = e4 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (4121), (4302) are inconsistent by % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #52. % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4303) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4303) gives: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4304) all_6_17 = e2 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (4300), (4304) are inconsistent by % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #51. % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4305) all_6_17 = e3 | all_6_17 = e0 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4305) gives: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4306) all_6_17 = e3 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (4306) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4307) all_4_13 = e3 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4307) implies: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4308) all_4_13 = e3 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (4308) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4309) all_8_4 = e3 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (4308) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4310) ~ (all_4_8 = e3) % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (4308) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4311) ~ (all_4_14 = e3) % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4311) implies: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4312) ~ (all_4_14 = e3) % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (4308) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4313) op(e3, e2) = all_8_32 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4151) gives: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4314) all_6_22 = e4 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (4314) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4315) all_4_14 = e4 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4123), (4315) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4316) $false % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4316) is inconsistent. % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4317) all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4318) all_10_20 = e3 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (4318) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4319) all_4_4 = e3 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4319) implies: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4320) all_4_4 = e3 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (523), (4320) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4321) $false % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4321) is inconsistent. % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4322) ~ (all_10_20 = e3) % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4323) all_10_21 = e3 | all_10_22 = e3 | all_10_23 = e3 | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e3 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4146) gives: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4324) all_6_20 = e4 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (4324) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4325) all_4_4 = e4 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4325) implies: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4326) all_4_4 = e4 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (460), (4326) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4327) all_8_65 = e4 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4317) gives: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4328) all_6_22 = e2 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (4328) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4329) all_4_14 = e2 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4329) implies: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4330) all_4_14 = e2 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (4330) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4331) all_8_67 = e2 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (4330) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4332) ~ (all_4_9 = e2) % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4143) gives: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4333) all_6_16 = e4 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (4333) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334) all_4_8 = e4 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3378), (4334) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4335) all_8_21 = e4 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (4334) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4336) ~ (all_4_9 = e4) % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4336) implies: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4337) ~ (all_4_9 = e4) % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (4334) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4338) op(e4, e3) = all_8_30 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4154) gives: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4339) all_6_21 = e4 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (4339) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4340) all_4_9 = e4 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4340) implies: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4341) all_4_9 = e4 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4337), (4341) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4342) $false % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4342) is inconsistent. % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4343) ~ (all_6_21 = e4) % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4344) all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4323) gives: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4345) all_10_21 = e3 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (4345) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4346) all_4_9 = e3 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4346) implies: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4347) all_4_9 = e3 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (4347) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4348) all_8_66 = e3 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4337), (4347) imply: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4349) ~ (e4 = e3) % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_28, % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (22), (4301) gives: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4350) all_8_28 = e3 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_32, % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (4126), (4313) gives: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4351) all_8_32 = e4 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_30, % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (4115), (4338) gives: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4352) all_8_30 = e2 % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4353) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) | (all_8_13 = % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4353) gives: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4354) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (19), (20), (3318), (3374), (4134), (4137), % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4297), (4309), (4327), (4354) are inconsistent by % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #65. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4355) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4355) gives: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4356) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (20), (4133), (4138), (4356) are % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #64. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4357) (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3295), (3360), (3374), (4079), (4335), (4348), % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4357) are inconsistent by sub-proof #146. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4358) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) | (all_8_35 = e1 & ~ (all_8_34 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_63 = all_8_68)) | (all_8_37 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_39 = e0 & ~ (all_8_38 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_53 = all_8_66)) | (all_8_41 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4358) gives: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4359) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4359) gives: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4360) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (2060), (4130), (4331), (4360) are % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #63. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4361) (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (19), (3360), (4350), (4351), (4352), (4361) % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #142. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4362) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) | (all_8_39 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4362) gives: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4363) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (597), (3318), (4095), (4327), (4363) are % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #141. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4364) (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (597), (2060), (3295), (4095), (4331), (4348), % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4364) are inconsistent by sub-proof #28. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4365) ~ (all_10_21 = e3) % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (354), (503), (3336), (4332), (4344), (4365) are % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #53. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4366) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (534), (4111), (4310), (4366) are % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #175. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4367) all_6_22 = e3 | all_6_22 = e0 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (504), (3337), (4312), (4367) are inconsistent by % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #101. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4368) all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e0 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (523), (3335), (4287), (4368) are % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #262. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4369) all_6_17 = e0 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (543), (4369) are inconsistent by sub-proof % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #50. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4370) all_10_20 = e2 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (357), (4287), (4370) are inconsistent by % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #172. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4371) ~ (all_10_9 = e3) % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (409), (4371) imply: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4372) ~ (all_4_15 = e3) % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (544), (3320), (3382), (4102), (4372) are % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #27. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4373) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (2068), (3307), (4101), (4373) are % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #135. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4374) ~ (all_10_1 = e2) % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (416), (4374) imply: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4375) ~ (all_4_5 = e2) % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (88), (317), (409), (471), (475), (544), (3319), % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3320), (3328), (3382), (3390), (4102), (4375) are % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #25. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4376) all_6_8 = e3 | all_6_8 = e0 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (545), (3308), (4376) are inconsistent by % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #200. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (4377) all_10_24 = e1 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3332), (4377) imply: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (4378) e1 = e0 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (609), (4378) imply: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (4379) $false % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4379) is inconsistent. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | (4380) all_10_3 = e1 | all_10_5 = e1 | all_10_10 = e1 | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | all_10_17 = e1 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4380) gives: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | (4381) all_10_3 = e1 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (609), (3300), (4381) are inconsistent by % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #24. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | (4382) all_10_5 = e1 | all_10_10 = e1 | all_10_17 = e1 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4074) gives: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | (4383) all_6_8 = e4 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (4383) imply: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | (4384) all_4_16 = e4 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3371), (4384) imply: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | (4385) $false % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4385) is inconsistent. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | (4386) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4386) gives: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | (4387) all_6_8 = e2 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (4387) imply: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | (4388) all_4_16 = e2 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (4388) imply: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | (4389) all_10_10 = e2 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4382) gives: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (4390) all_10_5 = e1 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (397), (536), (4390) are inconsistent by sub-proof % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | #248. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | (4391) all_10_10 = e1 | all_10_17 = e1 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4391) gives: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4392) all_10_10 = e1 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3360), (4389), (4392) are inconsistent by % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #156. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4393) all_10_17 = e1 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3299), (4393) imply: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4394) e3 = e1 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (4394) imply: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4395) $false % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4395) is inconsistent. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | (4396) all_6_8 = e3 | all_6_8 = e0 % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (545), (3308), (4396) are inconsistent by % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #200. % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | End of split % 71.47/11.39 | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | Case 2: % 71.47/11.39 | | | | | | | | | | | | | | | | | % 71.47/11.39 | | | | | | | | | | | | | | | | | (4397) all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0 % 71.47/11.39 | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (529), (546), (2072), (4397) are % 71.47/11.40 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #231. % 71.47/11.40 | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | End of split % 71.47/11.40 | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | End of split % 71.47/11.40 | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | Case 2: % 71.47/11.40 | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | (4398) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | % 71.47/11.40 | | | | | | | | | | | | | | | all_6_11 = e0 % 71.47/11.40 | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | BETA: splitting (4398) gives: % 71.47/11.40 | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | Case 1: % 71.47/11.40 | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | (4399) all_6_11 = e4 % 71.47/11.40 | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (4399) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | (4400) all_4_7 = e4 % 71.47/11.40 | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | SIMP: (4400) implies: % 71.47/11.40 | | | | | | | | | | | | | | | | (4401) all_4_7 = e4 % 71.47/11.40 | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | COMBINE_EQS: (435), (4401) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | (4402) all_8_56 = e4 % 71.47/11.40 | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | REDUCE: (80), (4401) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | (4403) ~ (all_4_8 = e4) % 71.47/11.40 | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | SIMP: (4403) implies: % 71.47/11.40 | | | | | | | | | | | | | | | | (4404) ~ (all_4_8 = e4) % 71.47/11.40 | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | REDUCE: (79), (4401) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | (4405) ~ (all_4_9 = e4) % 71.47/11.40 | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | SIMP: (4405) implies: % 71.47/11.40 | | | | | | | | | | | | | | | | (4406) ~ (all_4_9 = e4) % 71.47/11.40 | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | REDUCE: (77), (4401) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | (4407) ~ (all_4_17 = e4) % 71.47/11.40 | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | SIMP: (4407) implies: % 71.47/11.40 | | | | | | | | | | | | | | | | (4408) ~ (all_4_17 = e4) % 71.47/11.40 | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | REDUCE: (571), (4401) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | (4409) op(e4, e3) = all_8_21 % 71.47/11.40 | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | REDUCE: (572), (4401) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | (4410) op(e4, e2) = all_8_20 % 71.47/11.40 | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | REDUCE: (137), (4401) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | (4411) op(e2, e3) = e4 % 71.47/11.40 | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | BETA: splitting (183) gives: % 71.47/11.40 | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | Case 1: % 71.47/11.40 | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | (4412) all_6_13 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (4412) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | (4413) all_4_17 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (4413) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | (4414) all_10_11 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | REDUCE: (45), (4413) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | (4415) ~ (all_4_16 = e1) % 71.47/11.40 | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | REDUCE: (40), (4413) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | (4416) ~ (all_4_19 = e1) % 71.47/11.40 | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | SIMP: (4416) implies: % 71.47/11.40 | | | | | | | | | | | | | | | | | (4417) ~ (all_4_19 = e1) % 71.47/11.40 | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | REDUCE: (529), (4413) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | (4418) ~ (e3 = e1) % 71.47/11.40 | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | REDUCE: (574), (4413) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | (4419) op(e1, e1) = all_8_24 % 71.47/11.40 | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | REDUCE: (135), (4413) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | (4420) op(e2, e1) = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | BETA: splitting (328) gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.40 | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | (4421) all_10_2 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (4421) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | (4422) all_4_1 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | SIMP: (4422) implies: % 71.47/11.40 | | | | | | | | | | | | | | | | | | (4423) all_4_1 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (622), (4423) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | (4424) all_8_19 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | REDUCE: (114), (4423) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | (4425) ~ (all_4_3 = e1) % 71.47/11.40 | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | REDUCE: (113), (4423) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | (4426) ~ (all_4_4 = e1) % 71.47/11.40 | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | SIMP: (4426) implies: % 71.47/11.40 | | | | | | | | | | | | | | | | | | (4427) ~ (all_4_4 = e1) % 71.47/11.40 | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | REDUCE: (110), (4423) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | (4428) ~ (all_4_16 = e1) % 71.47/11.40 | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | REDUCE: (560), (4423) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | (4429) op(e1, e4) = all_8_10 % 71.47/11.40 | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | REDUCE: (561), (4423) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | (4430) op(e1, e3) = all_8_9 % 71.47/11.40 | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | (4431) all_10_20 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (357), (4427), (4431) are inconsistent by % 71.47/11.40 | | | | | | | | | | | | | | | | | | | sub-proof #93. % 71.47/11.40 | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | (4432) all_10_21 = e1 | all_10_22 = e1 | all_10_23 = e1 | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | all_10_24 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | BETA: splitting (4432) gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | (4433) all_10_21 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (4433) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | (4434) all_4_9 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | SIMP: (4434) implies: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | (4435) all_4_9 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | REDUCE: (4406), (4435) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | (4436) ~ (e4 = e1) % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (4435) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | (4437) op(e1, e3) = all_8_39 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (4435) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | (4438) op(e0, e3) = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_24, % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (21), (4419) gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | (4439) all_8_24 = e0 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_8, % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | all_8_9, e3, e1, simplifying with (132), (4430) % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | (4440) all_8_9 = all_4_8 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_39, % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | all_8_9, e3, e1, simplifying with (4430), (4437) % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | (4441) all_8_9 = all_8_39 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_3, % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | all_8_10, e4, e1, simplifying with (133), (4429) % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | (4442) all_8_10 = all_4_3 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_20, % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (23), (4410) gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | (4443) all_8_20 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_5, % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | all_8_21, e3, e4, simplifying with (147), (4409) % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | (4444) all_8_21 = all_4_5 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4440), (4441) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | (4445) all_8_39 = all_4_8 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | BETA: splitting (178) gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | (4446) all_6_20 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (4446) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | (4447) all_4_4 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4427), (4447) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | (4448) $false % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | CLOSE: (4448) is inconsistent. % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | (4449) ~ (all_6_20 = e1) % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | (4450) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | all_6_20 = e0 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | (4451) all_6_3 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (542), (4451) are inconsistent by sub-proof % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | #219. % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | (4452) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e0 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | (4453) all_6_7 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (536), (4453) are inconsistent by sub-proof % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | #183. % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | (4454) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | all_6_7 = e0 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | (4455) all_6_16 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (602), (4455) are inconsistent by sub-proof % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | #242. % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | (4456) ~ (all_6_16 = e1) % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | (4457) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | (4458) all_6_1 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (533), (4458) are inconsistent by sub-proof % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | #223. % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | (4459) ~ (all_6_1 = e1) % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | (4460) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | all_6_1 = e0 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (4461) all_6_8 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (4415), (4461) are inconsistent by % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #181. % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (4462) ~ (all_6_8 = e1) % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | (4463) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_8 = e0 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4464) unit = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (4464) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4465) op(e1, e1) = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e1, e1, % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (21), (4465) gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4466) e1 = e0 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (609), (4466) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4467) $false % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4467) is inconsistent. % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4468) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4469) all_6_22 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (4469) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4470) all_4_14 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (540), (4470) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4471) $false % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4471) is inconsistent. % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4472) ~ (all_6_22 = e1) % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4473) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_22 = e0 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4474) all_6_17 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (603), (4474) are inconsistent by sub-proof % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #182. % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4475) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_17 = e0 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4476) all_6_23 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (4417), (4476) are inconsistent by % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #55. % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4477) ~ (all_6_23 = e1) % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4478) all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e2 | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_23 = e0 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4479) all_10_12 = e4 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (4479) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4480) all_4_3 = e4 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4480) implies: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4481) all_4_3 = e4 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4442), (4481) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4482) all_8_10 = e4 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (102), (4481) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4483) ~ (all_4_4 = e4) % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4483) implies: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4484) ~ (all_4_4 = e4) % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (4481) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4485) ~ (all_4_13 = e4) % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4485) implies: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4486) ~ (all_4_13 = e4) % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (4481) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4487) op(e4, e4) = all_8_28 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (4481) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4488) op(e4, e1) = all_8_27 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4450) gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4489) all_6_20 = e4 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (4489) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4490) all_4_4 = e4 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4490) implies: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4491) all_4_4 = e4 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4484), (4491) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4492) $false % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4492) is inconsistent. % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4493) all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e0 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4493) gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4494) all_6_20 = e2 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (502), (4494) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4495) all_4_4 = e2 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4495) implies: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4496) all_4_4 = e2 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4427), (4496) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4497) ~ (e2 = e1) % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (586), (4496) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4498) op(e2, e4) = all_8_37 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_37, % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (22), (4498) gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4499) all_8_37 = e3 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_15, % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27, e1, e4, simplifying with (145), (4488) % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4500) all_8_27 = all_4_15 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_28, % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (3331), (4487) gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4501) all_8_28 = e0 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (326) gives: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4502) all_10_4 = e4 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (4502) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4503) e4 = e1 % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (4503) imply: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4504) $false % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4504) is inconsistent. % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.40 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4505) all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4506) all_10_2 = e2 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4421), (4506) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4507) e2 = e1 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4497), (4507) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4508) $false % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4508) is inconsistent. % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4509) all_10_3 = e2 | all_10_5 = e2 | all_10_10 = e2 | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17 = e2 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4510) all_10_9 = e2 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (4510) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4511) all_4_15 = e2 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (4511) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4512) ~ (all_4_5 = e2) % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (4511) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4513) ~ (all_4_16 = e2) % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4513) implies: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4514) ~ (all_4_16 = e2) % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (4511) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4515) ~ (all_4_19 = e2) % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4515) implies: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4516) ~ (all_4_19 = e2) % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (556), (4511) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4517) op(e2, e1) = all_8_6 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (4511) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4518) op(e4, e1) = e2 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (341) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4519) all_10_0 = e3 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (3323), (4519) are inconsistent by sub-proof % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #42. % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4520) all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e3 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4520) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4521) all_10_1 = e3 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (4521) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4522) all_4_5 = e3 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4444), (4522) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4523) all_8_21 = e3 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (4522) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4524) ~ (all_4_8 = e3) % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4524) implies: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4525) ~ (all_4_8 = e3) % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (4522) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4526) op(e3, e3) = all_8_2 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4463) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4527) all_6_8 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (4527) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4528) all_4_16 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4528) implies: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4529) all_4_16 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (4529) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4530) ~ (all_4_11 = e4) % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (4529) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4531) ~ (all_4_19 = e4) % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4531) implies: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4532) ~ (all_4_19 = e4) % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (4529) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4533) op(e4, e1) = all_8_15 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (4529) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4534) op(e3, e1) = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4454) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4535) all_6_7 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (4535) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4536) all_4_11 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4530), (4536) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4537) $false % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4537) is inconsistent. % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4538) ~ (all_6_7 = e4) % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4539) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4478) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4540) all_6_23 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (4532), (4540) are inconsistent by % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #60. % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4541) all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e0 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4509) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4542) all_10_3 = e2 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3300), (3339), (4542) are inconsistent by % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #138. % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4543) all_10_5 = e2 | all_10_10 = e2 | all_10_17 = e2 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4505) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4544) all_10_5 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (4544) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4545) all_4_11 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4545) implies: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4546) all_4_11 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4530), (4546) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4547) $false % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4547) is inconsistent. % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4548) ~ (all_10_5 = e4) % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4549) all_10_8 = e4 | all_10_14 = e4 | all_10_22 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4543) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4550) all_10_5 = e2 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (4550) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4551) all_4_11 = e2 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4551) implies: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4552) all_4_11 = e2 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4530), (4552) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4553) ~ (e4 = e2) % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4553) implies: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4554) ~ (e4 = e2) % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (4552) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4555) op(e2, e3) = all_8_12 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (4552) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4556) op(e2, e2) = all_8_13 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (4552) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4557) op(e3, e2) = e2 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4558) all_10_12 = e2 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4479), (4554), (4558) are inconsistent by % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #23. % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4559) all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e2 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4559) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4560) all_10_13 = e2 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (4560) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4561) all_4_8 = e2 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4561) implies: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4562) all_4_8 = e2 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4445), (4562) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4563) all_8_39 = e2 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (4562) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4564) ~ (all_4_13 = e2) % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4564) implies: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4565) ~ (all_4_13 = e2) % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (4562) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4566) op(e2, e3) = all_8_30 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4475) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4567) all_6_17 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (4567) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4568) all_4_13 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4486), (4568) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4569) $false % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4569) is inconsistent. % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4570) ~ (all_6_17 = e4) % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4571) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4571) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4572) all_6_17 = e2 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (4572) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4573) all_4_13 = e2 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4565), (4573) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4574) $false % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4574) is inconsistent. % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4575) ~ (all_6_17 = e2) % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4576) all_6_17 = e3 | all_6_17 = e0 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4549) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4577) all_10_8 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2065), (4577) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4578) e4 = e0 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4578) implies: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4579) e4 = e0 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (4579) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4580) $false % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4580) is inconsistent. % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4581) all_10_14 = e4 | all_10_22 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4581) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4582) all_10_14 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (4582) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4583) all_4_13 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4583) implies: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4584) all_4_13 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4486), (4584) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4585) $false % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4585) is inconsistent. % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4586) all_10_22 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (4586) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4587) all_4_14 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4587) implies: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4588) all_4_14 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (590), (4588) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4589) op(e4, e2) = all_8_41 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4541) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4590) all_6_23 = e2 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (4516), (4590) are inconsistent by % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #74. % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4591) all_6_23 = e3 | all_6_23 = e0 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4591) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4592) all_6_23 = e3 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (4592) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4593) all_4_19 = e3 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4593) implies: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4594) all_4_19 = e3 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (4594) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4595) op(e3, e1) = all_8_43 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4576) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4596) all_6_17 = e3 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (4596) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4597) all_4_13 = e3 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4597) implies: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4598) all_4_13 = e3 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (4598) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4599) all_8_4 = e3 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4486), (4598) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4600) ~ (e4 = e3) % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (4598) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4601) op(e3, e2) = all_8_32 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (4598) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4602) op(e3, e1) = all_8_31 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_6, % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (4420), (4517) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4603) all_8_6 = e1 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_13, % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (2081), (4556) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4604) all_8_13 = e0 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_12, % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (4411), (4555) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4605) all_8_12 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_30, % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12, e3, e2, simplifying with (4555), (4566) % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4606) all_8_12 = all_8_30 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_43, % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_31, e1, e3, simplifying with (4595), (4602) % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4607) all_8_31 = all_8_43 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_31, % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (4534), (4602) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4608) all_8_31 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_32, % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (4557), (4601) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4609) all_8_32 = e2 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_2, % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (3313), (4526) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4610) all_8_2 = e0 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_15, % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e4, simplifying with (4518), (4533) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4611) all_8_15 = e2 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_41, % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (23), (4589) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4612) all_8_41 = e1 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4605), (4606) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4613) all_8_30 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4613) implies: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4614) all_8_30 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4607), (4608) imply: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4615) all_8_43 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4615) implies: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4616) all_8_43 = e4 % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.41 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4617) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) | (all_8_13 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4617) gives: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4618) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4618) gives: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4619) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4619) gives: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4620) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (4610), (4620) are inconsistent by sub-proof % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #40. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4621) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (4599), (4621) are inconsistent by sub-proof % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #152. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4622) (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_8 = e4 & ~ (all_8_7 = e0) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_48 = all_8_65)) | (all_8_10 = e3 & % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4622) gives: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4623) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (4603), (4623) are inconsistent by sub-proof % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #59. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4624) (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (3343), (4482), (4624) are inconsistent by % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #22. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4625) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4625) gives: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4626) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4626) gives: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4627) all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (4604), (4627) are inconsistent by sub-proof % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #111. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4628) all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (4611), (4628) are inconsistent by sub-proof % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #21. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4629) (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (3342), (4424), (4497), (4523), (4629) are % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #33. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4630) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) | (all_8_35 = e1 & ~ (all_8_34 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_63 = all_8_68)) | (all_8_37 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_39 = e0 & ~ (all_8_38 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_53 = all_8_66)) | (all_8_41 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4630) gives: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4631) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4631) gives: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4632) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2085), (3339), (4439), (4632) are inconsistent by % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #19. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4633) (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4633) gives: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4634) all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (609), (4501), (4634) are inconsistent by % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #32. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4635) (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61)) | (all_8_32 = e1 & ~ (all_8_31 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_57 = all_8_62)) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4635) gives: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4636) all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4636) implies: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4637) all_8_30 = e1 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4614), (4637) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4638) e4 = e1 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4638) implies: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4639) e4 = e1 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (4639) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4640) $false % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4640) is inconsistent. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4641) all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4497), (4609), (4641) are inconsistent by % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #105. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4642) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) | (all_8_39 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4642) gives: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4643) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (618), (4499), (4643) are inconsistent by % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #18. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4644) (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4644) gives: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4645) all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3339), (4563), (4645) are inconsistent by % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4646) (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (609), (4612), (4616), (4646) are % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #205. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4647) all_6_17 = e0 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (543), (4647) are inconsistent by sub-proof % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #50. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4648) all_6_23 = e0 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (548), (4648) are inconsistent by sub-proof % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #76. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4649) ~ (all_10_13 = e2) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (4649) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4650) ~ (all_4_8 = e2) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (534), (4404), (4457), (4525), (4650) are % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #174. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4651) ~ (all_10_5 = e2) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (397), (4651) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4652) ~ (all_4_11 = e2) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (2068), (3307), (4539), (4652) are % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #135. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4653) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (545), (3308), (4514), (4653) are % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #199. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4654) ~ (all_10_1 = e3) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (416), (4654) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4655) ~ (all_4_5 = e3) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (3319), (3328), (4460), (4512), (4655) are % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #26. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4656) ~ (all_10_9 = e2) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4657) all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e2 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (409), (4656) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4658) ~ (all_4_15 = e2) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4452) gives: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4659) all_6_3 = e4 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (4659) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4660) all_4_15 = e4 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3320), (4660) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4661) $false % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4661) is inconsistent. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4662) ~ (all_6_3 = e4) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4663) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4664) all_10_0 = e2 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3323), (3339), (4664) are inconsistent by % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #180. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4665) all_10_1 = e2 | all_10_4 = e2 | all_10_9 = e2 | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e2 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4665) gives: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4666) all_10_1 = e2 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (4666) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4667) all_4_5 = e2 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (4667) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4668) ~ (all_4_8 = e2) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4668) implies: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4669) ~ (all_4_8 = e2) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (4667) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4670) ~ (all_4_15 = e2) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3319), (4667) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4671) ~ (e4 = e2) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4671) implies: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4672) ~ (e4 = e2) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (551), (4667) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4673) op(e2, e4) = all_8_1 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4457) gives: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4674) all_6_16 = e4 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (4404), (4674) are inconsistent by % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #54. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4675) ~ (all_6_16 = e4) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4676) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4676) gives: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4677) all_6_16 = e2 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (4669), (4677) are inconsistent by % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #178. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4678) ~ (all_6_16 = e2) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4679) all_6_16 = e3 | all_6_16 = e0 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4680) all_10_12 = e2 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4479), (4672), (4680) are inconsistent by % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #23. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4681) all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e2 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4681) gives: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4682) all_10_13 = e2 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (369), (4669), (4682) are inconsistent by % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #117. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4683) all_10_14 = e2 | all_10_15 = e2 | all_10_19 = e2 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4683) gives: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4684) all_10_14 = e2 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (4684) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4685) all_4_13 = e2 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4685) implies: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4686) all_4_13 = e2 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (4686) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4687) all_8_4 = e2 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (4686) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4688) ~ (all_4_11 = e2) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (4686) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4689) op(e2, e2) = all_8_32 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (325) gives: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4690) all_10_4 = e3 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (413), (4690) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4691) e3 = e1 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (4691) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4692) $false % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4692) is inconsistent. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4693) all_10_5 = e3 | all_10_8 = e3 | all_10_14 = e3 | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22 = e3 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4693) gives: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4694) all_10_5 = e3 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (4694) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4695) all_4_11 = e3 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4695) implies: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4696) all_4_11 = e3 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3307), (4696) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4697) $false % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4697) is inconsistent. % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4698) ~ (all_10_5 = e3) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4699) all_10_8 = e3 | all_10_14 = e3 | all_10_22 = e3 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4454) gives: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4700) all_6_7 = e4 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (4700) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4701) all_4_11 = e4 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (4701) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4702) all_8_51 = e4 % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (4701) imply: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4703) ~ (all_4_16 = e4) % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4703) implies: % 71.47/11.42 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4704) ~ (all_4_16 = e4) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (4701) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4705) op(e4, e2) = all_8_13 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (4701) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4706) op(e3, e2) = e4 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4463) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4707) all_6_8 = e4 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (4704), (4707) are inconsistent by % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #201. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4708) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4663) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4709) all_6_3 = e2 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (4658), (4709) are inconsistent by % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #157. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4710) all_6_3 = e3 | all_6_3 = e0 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4710) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4711) all_6_3 = e3 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (4711) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4712) all_4_15 = e3 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4712) implies: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4713) all_4_15 = e3 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (4713) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4714) ~ (all_4_16 = e3) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (4713) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4715) ~ (all_4_19 = e3) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4715) implies: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4716) ~ (all_4_19 = e3) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (556), (4713) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4717) op(e3, e1) = all_8_6 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (4713) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4718) op(e4, e1) = e3 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4657) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4719) all_10_10 = e2 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (4719) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4720) all_4_16 = e2 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (4720) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4721) ~ (all_4_19 = e2) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4721) implies: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4722) ~ (all_4_19 = e2) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (4720) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4723) op(e2, e1) = all_8_15 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (4720) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4724) op(e3, e1) = e2 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4699) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4725) all_10_8 = e3 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2065), (4725) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4726) e3 = e0 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4726) implies: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4727) e3 = e0 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (4727) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4728) $false % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4728) is inconsistent. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4729) all_10_14 = e3 | all_10_22 = e3 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4478) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4730) all_6_23 = e4 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (4730) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4731) all_4_19 = e4 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (4731) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4732) op(e4, e1) = all_8_43 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4729) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4733) all_10_14 = e3 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (363), (600), (3339), (4497), (4683), (4733) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #192. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4734) all_10_22 = e3 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (4734) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4735) all_4_14 = e3 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4735) implies: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4736) all_4_14 = e3 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (590), (4736) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4737) op(e3, e2) = all_8_41 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4679) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4738) all_6_16 = e3 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (4738) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4739) all_4_8 = e3 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4445), (4739) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4740) all_8_39 = e3 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4404), (4739) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4741) ~ (e4 = e3) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (4739) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4742) op(e3, e3) = all_8_30 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_15, % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (4420), (4723) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4743) all_8_15 = e1 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_32, % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (2081), (4689) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4744) all_8_32 = e0 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_1, % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (22), (4673) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4745) all_8_1 = e3 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_6, % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (4717), (4724) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4746) all_8_6 = e2 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_41, % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (4706), (4737) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4747) all_8_41 = e4 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_30, % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (3313), (4742) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4748) all_8_30 = e0 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_43, % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e4, simplifying with (4718), (4732) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4749) all_8_43 = e3 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_13, % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (23), (4705) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4750) all_8_13 = e1 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4751) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) | (all_8_13 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4751) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4752) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4752) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4753) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4753) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4754) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4754) implies: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4755) ~ (all_8_1 = e3) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4745), (4755) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4756) $false % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4756) is inconsistent. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4757) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4672), (4687), (4757) are inconsistent by % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #48. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4758) (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_8 = e4 & ~ (all_8_7 = e0) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_48 = all_8_65)) | (all_8_10 = e3 & % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4758) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4759) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4672), (4746), (4759) are inconsistent by % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #151. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4760) (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (3343), (4482), (4760) are inconsistent by % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #22. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4761) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4761) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4762) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4762) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4763) all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (4750), (4763) are inconsistent by sub-proof % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #149. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4764) all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4764) implies: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4765) all_8_15 = e3 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4743), (4765) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4766) e3 = e1 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4766) implies: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4767) e3 = e1 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (4767) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4768) $false % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4768) is inconsistent. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4769) (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4769) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4770) all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4770) implies: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4771) ~ (all_8_16 = e0) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3342), (4771) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4772) $false % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4772) is inconsistent. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4773) (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_51 = all_8_56)) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4773) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4774) all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4424), (4497), (4774) are inconsistent by % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #147. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4775) all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4775) implies: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4776) ~ (all_8_51 = all_8_56) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4402), (4702), (4776) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4777) $false % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4777) is inconsistent. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4778) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) | (all_8_35 = e1 & ~ (all_8_34 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_63 = all_8_68)) | (all_8_37 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_39 = e0 & ~ (all_8_38 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_53 = all_8_66)) | (all_8_41 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4778) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4779) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4779) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4780) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2085), (3339), (4439), (4780) are inconsistent by % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #19. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4781) (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (609), (4501), (4744), (4748), (4781) are % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #31. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4782) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) | (all_8_39 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4782) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4783) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (618), (4499), (4783) are inconsistent by % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #18. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4784) (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4784) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4785) all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (4740), (4785) are inconsistent by sub-proof % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #17. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4786) (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4786) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4787) all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (4747), (4787) are inconsistent by sub-proof % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #44. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4788) all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4788) implies: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4789) all_8_43 = e0 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4749), (4789) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4790) e3 = e0 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4790) implies: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4791) e3 = e0 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (4791) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4792) $false % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4792) is inconsistent. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4793) all_6_16 = e0 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (4793) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4794) all_4_8 = e0 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (534), (4794) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4795) $false % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4795) is inconsistent. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4796) all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e0 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4796) gives: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4797) all_6_23 = e2 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (4722), (4797) are inconsistent by % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #74. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4798) all_6_23 = e3 | all_6_23 = e0 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (548), (4716), (4798) are inconsistent by % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #75. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4799) ~ (all_10_10 = e2) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (4799) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4800) ~ (all_4_16 = e2) % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (545), (3308), (4708), (4800) are % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #199. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4801) all_6_3 = e0 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (4801) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4802) all_4_15 = e0 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4802) implies: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4803) all_4_15 = e0 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (4803) imply: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4804) $false % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4804) is inconsistent. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4805) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (2068), (3307), (4688), (4805) are % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #135. % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4806) all_10_15 = e2 | all_10_19 = e2 % 71.47/11.43 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (363), (600), (3339), (4497), (4806) are % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #193. % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4807) ~ (all_10_1 = e2) % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (416), (4807) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4808) ~ (all_4_5 = e2) % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (88), (317), (409), (471), (475), (544), (3319), % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3320), (3328), (4452), (4460), (4658), (4808) are % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #25. % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4809) all_6_20 = e3 | all_6_20 = e0 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (502), (523), (3335), (4809) are inconsistent by % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #263. % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4810) ~ (all_10_12 = e4) % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (372), (4810) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4811) ~ (all_4_3 = e4) % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4812) all_10_0 = e4 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (3323), (4812) are inconsistent by sub-proof % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #168. % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4813) all_10_2 = e4 | all_10_6 = e4 | all_10_12 = e4 | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e4 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4813) gives: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4814) all_10_2 = e4 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4421), (4814) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4815) e4 = e1 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (4815) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4816) $false % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4816) is inconsistent. % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4817) all_10_6 = e4 | all_10_12 = e4 | all_10_20 = e4 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3348) gives: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4818) all_6_15 = e4 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (4811), (4818) are inconsistent by % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #266. % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4819) ~ (all_6_15 = e4) % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4820) all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4820) gives: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4821) all_6_15 = e2 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (4821) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4822) all_4_3 = e2 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4822) implies: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4823) all_4_3 = e2 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (4823) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4824) all_10_12 = e2 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (4823) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4825) ~ (all_4_8 = e2) % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4825) implies: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4826) ~ (all_4_8 = e2) % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (100), (4823) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4827) ~ (all_4_13 = e2) % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4827) implies: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4828) ~ (all_4_13 = e2) % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4811), (4823) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4829) ~ (e4 = e2) % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4829) implies: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4830) ~ (e4 = e2) % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (601), (4823) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4831) ~ (e2 = e1) % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4817) gives: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4832) all_10_6 = e4 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (4832) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4833) e4 = e3 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (4833) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4834) $false % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4834) is inconsistent. % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4835) all_10_12 = e4 | all_10_20 = e4 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4835) gives: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4836) all_10_12 = e4 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4824), (4836) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4837) e4 = e2 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4830), (4837) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4838) $false % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4838) is inconsistent. % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4839) all_10_20 = e4 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (4839) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4840) all_4_4 = e4 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4840) implies: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4841) all_4_4 = e4 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (4841) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4842) ~ (all_4_19 = e4) % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4842) implies: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4843) ~ (all_4_19 = e4) % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4457) gives: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4844) all_6_16 = e4 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (4844) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4845) all_4_8 = e4 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4404), (4845) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4846) $false % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4846) is inconsistent. % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4847) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4848) all_10_9 = e4 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (4848) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4849) all_4_15 = e4 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4849) implies: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4850) all_4_15 = e4 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3320), (4850) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4851) $false % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4851) is inconsistent. % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4852) all_10_10 = e4 | all_10_11 = e4 | all_10_15 = e4 | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e4 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4852) gives: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4853) all_10_10 = e4 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (4853) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4854) all_4_16 = e4 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4854) implies: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4855) all_4_16 = e4 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (4855) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4856) ~ (all_4_11 = e4) % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (4855) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4857) op(e4, e3) = all_8_14 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (4855) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4858) op(e4, e1) = all_8_15 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4859) all_10_2 = e2 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4421), (4859) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4860) e2 = e1 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4831), (4860) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4861) $false % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4861) is inconsistent. % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4862) all_10_3 = e2 | all_10_5 = e2 | all_10_10 = e2 | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17 = e2 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4454) gives: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4863) all_6_7 = e4 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (4856), (4863) are inconsistent by % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41. % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4864) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4862) gives: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4865) all_10_3 = e2 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3300), (3339), (4865) are inconsistent by % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #138. % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4866) all_10_5 = e2 | all_10_10 = e2 | all_10_17 = e2 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4847) gives: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4867) all_6_16 = e2 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (4867) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4868) all_4_8 = e2 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4826), (4868) imply: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4869) $false % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4869) is inconsistent. % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4870) all_6_16 = e3 | all_6_16 = e0 % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4870) gives: % 71.47/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4871) all_6_16 = e3 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (4871) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4872) all_4_8 = e3 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (4872) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4873) ~ (all_4_5 = e3) % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (4872) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4874) ~ (all_4_13 = e3) % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4874) implies: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4875) ~ (all_4_13 = e3) % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (4872) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4876) op(e3, e3) = all_8_30 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (4872) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4877) op(e1, e3) = e3 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4878) all_10_1 = e2 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (4878) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4879) all_4_5 = e2 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (4879) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4880) ~ (all_4_15 = e2) % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4880) implies: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4881) ~ (all_4_15 = e2) % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (4879) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4882) op(e4, e3) = e2 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4475) gives: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4883) all_6_17 = e4 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (4883) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4884) all_4_13 = e4 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (4884) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4885) ~ (all_4_14 = e4) % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4885) implies: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4886) ~ (all_4_14 = e4) % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (4884) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4887) op(e4, e1) = all_8_31 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4866) gives: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4888) all_10_5 = e2 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (4888) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4889) all_4_11 = e2 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4889) implies: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4890) all_4_11 = e2 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (4890) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4891) ~ (all_4_14 = e2) % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4891) implies: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4892) ~ (all_4_14 = e2) % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4452) gives: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4893) all_6_3 = e4 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (3320), (4893) are inconsistent by % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #218. % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4894) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4894) gives: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4895) all_6_3 = e2 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (4881), (4895) are inconsistent by % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #157. % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4896) all_6_3 = e3 | all_6_3 = e0 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4473) gives: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4897) all_6_22 = e4 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (504), (4886), (4897) are inconsistent by % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #35. % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4898) all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4898) gives: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4899) all_6_22 = e2 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (504), (4892), (4899) are inconsistent by % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #34. % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4900) all_6_22 = e3 | all_6_22 = e0 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4900) gives: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4901) all_6_22 = e3 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (4901) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4902) all_4_14 = e3 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4902) implies: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4903) all_4_14 = e3 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (4903) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4904) op(e0, e2) = e3 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4905) all_10_9 = e3 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (4905) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4906) all_4_15 = e3 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (4906) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4907) ~ (all_4_19 = e3) % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4907) implies: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4908) ~ (all_4_19 = e3) % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (4906) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4909) op(e4, e1) = e3 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4478) gives: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4910) all_6_23 = e4 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (4843), (4910) are inconsistent by % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #60. % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4911) all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e0 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4911) gives: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4912) all_6_23 = e2 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (4912) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4913) all_4_19 = e2 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4913) implies: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4914) all_4_19 = e2 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (4914) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4915) op(e2, e0) = all_8_42 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (7), (8), (9), (10), (609), (2082), % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3313), (3339), (4438), (4468), (4831), (4857), % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4858), (4876), (4877), (4882), (4887), (4904), % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4909), (4915), (function-axioms) are inconsistent % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #16. % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4916) all_6_23 = e3 | all_6_23 = e0 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (548), (4908), (4916) are inconsistent by % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #75. % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4917) ~ (all_10_9 = e3) % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (409), (4917) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4918) ~ (all_4_15 = e3) % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (544), (4896), (4918) are inconsistent by % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #197. % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4919) all_6_22 = e0 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (504), (3337), (4919) are inconsistent by % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #102. % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4920) ~ (all_10_5 = e2) % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (397), (4920) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4921) ~ (all_4_11 = e2) % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (2068), (3307), (4864), (4921) are % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #135. % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4922) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (543), (4828), (4875), (4922) are % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #97. % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4923) ~ (all_10_1 = e2) % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (416), (4923) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4924) ~ (all_4_5 = e2) % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (3319), (3328), (4460), (4873), (4924) are % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #26. % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4925) all_6_16 = e0 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (4925) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4926) all_4_8 = e0 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (534), (4926) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4927) $false % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4927) is inconsistent. % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4928) all_10_11 = e4 | all_10_15 = e4 | all_10_23 = e4 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4928) gives: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4929) all_10_11 = e4 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4414), (4929) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4930) e4 = e1 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (4930) imply: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4931) $false % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4931) is inconsistent. % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4932) all_10_15 = e4 | all_10_23 = e4 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4932) gives: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4933) all_10_15 = e4 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (363), (4933) are inconsistent by sub-proof % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #15. % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4934) all_10_23 = e4 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (515), (4843), (4934) are inconsistent by % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #162. % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4935) all_6_15 = e3 | all_6_15 = e0 % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (521), (532), (4935) are inconsistent by % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #229. % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.44 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | (4936) all_10_22 = e1 | all_10_23 = e1 | all_10_24 = e1 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4936) gives: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | (4937) all_10_22 = e1 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (540), (4937) are inconsistent by sub-proof % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | #37. % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | (4938) all_10_23 = e1 | all_10_24 = e1 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4938) gives: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | (4939) all_10_23 = e1 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (515), (4417), (4939) are inconsistent by % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | sub-proof #69. % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | (4940) all_10_24 = e1 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3332), (4940) imply: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | (4941) e1 = e0 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (609), (4941) imply: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | (4942) $false % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4942) is inconsistent. % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | (4943) all_10_3 = e1 | all_10_5 = e1 | all_10_10 = e1 | % 71.75/11.45 | | | | | | | | | | | | | | | | | | all_10_17 = e1 % 71.75/11.45 | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | BETA: splitting (4943) gives: % 71.75/11.45 | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | (4944) all_10_3 = e1 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (609), (3300), (4944) are inconsistent by % 71.75/11.45 | | | | | | | | | | | | | | | | | | | sub-proof #24. % 71.75/11.45 | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | (4945) all_10_5 = e1 | all_10_10 = e1 | all_10_17 = e1 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | BETA: splitting (4945) gives: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | (4946) all_10_5 = e1 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (397), (536), (4946) are inconsistent by sub-proof % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | #248. % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | (4947) all_10_10 = e1 | all_10_17 = e1 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4947) gives: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | (4948) all_10_10 = e1 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (394), (4415), (4948) are inconsistent by % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | sub-proof #14. % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | (4949) all_10_17 = e1 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3299), (4949) imply: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | (4950) e3 = e1 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (4950) imply: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | (4951) $false % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | CLOSE: (4951) is inconsistent. % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | (4952) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | % 71.75/11.45 | | | | | | | | | | | | | | | | | all_6_13 = e0 % 71.75/11.45 | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (529), (546), (2072), (4408), (4952) are % 71.75/11.45 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #90. % 71.75/11.45 | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | (4953) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e0 % 71.75/11.45 | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | REF_CLOSE: (489), (525), (2066), (2067), (4953) are % 71.75/11.45 | | | | | | | | | | | | | | | | inconsistent by sub-proof #169. % 71.75/11.45 | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | (4954) ~ (all_10_24 = e0) % 71.75/11.45 | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | REDUCE: (514), (4954) imply: % 71.75/11.45 | | | | | | | | | | | | | (4955) ~ (all_4_24 = e0) % 71.75/11.45 | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | BETA: splitting (3315) gives: % 71.75/11.45 | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | Case 1: % 71.75/11.45 | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | (4956) all_6_24 = e4 % 71.75/11.45 | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | COMBINE_EQS: (507), (4956) imply: % 71.75/11.45 | | | | | | | | | | | | | | (4957) all_4_24 = e4 % 71.75/11.45 | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | REDUCE: (2087), (4957) imply: % 71.75/11.45 | | | | | | | | | | | | | | (4958) $false % 71.75/11.45 | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | CLOSE: (4958) is inconsistent. % 71.75/11.45 | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | (4959) all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e0 % 71.75/11.45 | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | BETA: splitting (4959) gives: % 71.75/11.45 | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | Case 1: % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | (4960) all_6_24 = e2 % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | COMBINE_EQS: (507), (4960) imply: % 71.75/11.45 | | | | | | | | | | | | | | | (4961) all_4_24 = e2 % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | REDUCE: (2076), (4961) imply: % 71.75/11.45 | | | | | | | | | | | | | | | (4962) $false % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | CLOSE: (4962) is inconsistent. % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | (4963) all_6_24 = e3 | all_6_24 = e0 % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | REF_CLOSE: (507), (3310), (4955), (4963) are inconsistent by % 71.75/11.45 | | | | | | | | | | | | | | | sub-proof #119. % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | (4964) ~ (all_10_0 = e0) % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | REDUCE: (419), (4964) imply: % 71.75/11.45 | | | | | | | | | | | | (4965) ~ (all_4_0 = e0) % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | REF_CLOSE: (15), (94), (336), (357), (372), (388), (403), % 71.75/11.45 | | | | | | | | | | | | (419), (507), (532), (2076), (2087), (3301), % 71.75/11.45 | | | | | | | | | | | | (3310), (3315), (4965) are inconsistent by % 71.75/11.45 | | | | | | | | | | | | sub-proof #85. % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | (4966) ~ (all_10_16 = e4) % 71.75/11.45 | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | REDUCE: (406), (4966) imply: % 71.75/11.45 | | | | | | | | | | | (4967) ~ (all_4_20 = e4) % 71.75/11.45 | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | BETA: splitting (276) gives: % 71.75/11.45 | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | Case 1: % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | (4968) ~ (all_8_49 = e0) % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | REDUCE: (421), (4968) imply: % 71.75/11.45 | | | | | | | | | | | | (4969) ~ (all_4_0 = e0) % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | REF_CLOSE: (15), (94), (336), (357), (372), (388), (403), % 71.75/11.45 | | | | | | | | | | | | (419), (507), (532), (2076), (2087), (3301), % 71.75/11.45 | | | | | | | | | | | | (3310), (3315), (4969) are inconsistent by % 71.75/11.45 | | | | | | | | | | | | sub-proof #85. % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | (4970) all_8_48 = e4 % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | COMBINE_EQS: (452), (4970) imply: % 71.75/11.45 | | | | | | | | | | | | (4971) all_4_20 = e4 % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | REDUCE: (4967), (4971) imply: % 71.75/11.45 | | | | | | | | | | | | (4972) $false % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | CLOSE: (4972) is inconsistent. % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | | % 71.75/11.45 | | | | | | | | | End of split % 71.75/11.45 | | | | | | | | | % 71.75/11.45 | | | | | | | | End of split % 71.75/11.45 | | | | | | | | % 71.75/11.45 | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | % 71.75/11.45 | | | | | | | | (4973) all_8_69 = e4 % 71.75/11.45 | | | | | | | | (4974) all_8_65 = e0 % 71.75/11.45 | | | | | | | | % 71.75/11.45 | | | | | | | | COMBINE_EQS: (460), (4974) imply: % 71.75/11.45 | | | | | | | | (4975) all_4_4 = e0 % 71.75/11.45 | | | | | | | | % 71.75/11.45 | | | | | | | | SIMP: (4975) implies: % 71.75/11.45 | | | | | | | | (4976) all_4_4 = e0 % 71.75/11.45 | | | | | | | | % 71.75/11.45 | | | | | | | | COMBINE_EQS: (343), (4973) imply: % 71.75/11.45 | | | | | | | | (4977) all_4_24 = e4 % 71.75/11.45 | | | | | | | | % 71.75/11.45 | | | | | | | | SIMP: (4977) implies: % 71.75/11.45 | | | | | | | | (4978) all_4_24 = e4 % 71.75/11.45 | | | | | | | | % 71.75/11.45 | | | | | | | | COMBINE_EQS: (514), (4978) imply: % 71.75/11.45 | | | | | | | | (4979) all_10_24 = e4 % 71.75/11.45 | | | | | | | | % 71.75/11.45 | | | | | | | | COMBINE_EQS: (357), (4976) imply: % 71.75/11.45 | | | | | | | | (4980) all_10_20 = e0 % 71.75/11.45 | | | | | | | | % 71.75/11.45 | | | | | | | | REDUCE: (120), (4976) imply: % 71.75/11.45 | | | | | | | | (4981) ~ (all_4_0 = e0) % 71.75/11.45 | | | | | | | | % 71.75/11.45 | | | | | | | | REDUCE: (113), (4976) imply: % 71.75/11.45 | | | | | | | | (4982) ~ (all_4_1 = e0) % 71.75/11.45 | | | | | | | | % 71.75/11.45 | | | | | | | | REDUCE: (97), (4976) imply: % 71.75/11.45 | | | | | | | | (4983) ~ (all_4_9 = e0) % 71.75/11.45 | | | | | | | | % 71.75/11.45 | | | | | | | | SIMP: (4983) implies: % 71.75/11.45 | | | | | | | | (4984) ~ (all_4_9 = e0) % 71.75/11.45 | | | | | | | | % 71.75/11.45 | | | | | | | | REDUCE: (96), (4976) imply: % 71.75/11.45 | | | | | | | | (4985) ~ (all_4_14 = e0) % 71.75/11.45 | | | | | | | | % 71.75/11.45 | | | | | | | | SIMP: (4985) implies: % 71.75/11.45 | | | | | | | | (4986) ~ (all_4_14 = e0) % 71.75/11.45 | | | | | | | | % 71.75/11.45 | | | | | | | | REDUCE: (69), (4978) imply: % 71.75/11.45 | | | | | | | | (4987) ~ (all_4_9 = e4) % 71.75/11.45 | | | | | | | | % 71.75/11.45 | | | | | | | | REDUCE: (51), (4978) imply: % 71.75/11.45 | | | | | | | | (4988) ~ (all_4_14 = e4) % 71.75/11.45 | | | | | | | | % 71.75/11.45 | | | | | | | | REDUCE: (587), (4976) imply: % 71.75/11.45 | | | | | | | | (4989) op(e0, e0) = all_8_36 % 71.75/11.45 | | | | | | | | % 71.75/11.45 | | | | | | | | REDUCE: (124), (4978) imply: % 71.75/11.45 | | | | | | | | (4990) op(e0, e0) = e4 % 71.75/11.45 | | | | | | | | % 71.75/11.45 | | | | | | | | BETA: splitting (338) gives: % 71.75/11.45 | | | | | | | | % 71.75/11.45 | | | | | | | | Case 1: % 71.75/11.45 | | | | | | | | | % 71.75/11.45 | | | | | | | | | (4991) all_10_0 = e1 % 71.75/11.45 | | | | | | | | | % 71.75/11.45 | | | | | | | | | COMBINE_EQS: (419), (4991) imply: % 71.75/11.45 | | | | | | | | | (4992) all_4_0 = e1 % 71.75/11.45 | | | | | | | | | % 71.75/11.45 | | | | | | | | | REDUCE: (518), (4992) imply: % 71.75/11.45 | | | | | | | | | (4993) $false % 71.75/11.45 | | | | | | | | | % 71.75/11.45 | | | | | | | | | CLOSE: (4993) is inconsistent. % 71.75/11.45 | | | | | | | | | % 71.75/11.45 | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | % 71.75/11.45 | | | | | | | | | (4994) all_10_2 = e1 | all_10_6 = e1 | all_10_12 = e1 | % 71.75/11.45 | | | | | | | | | all_10_20 = e1 % 71.75/11.45 | | | | | | | | | % 71.75/11.45 | | | | | | | | | BETA: splitting (4994) gives: % 71.75/11.45 | | | | | | | | | % 71.75/11.45 | | | | | | | | | Case 1: % 71.75/11.45 | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | (4995) all_10_2 = e1 % 71.75/11.45 | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | COMBINE_EQS: (403), (4995) imply: % 71.75/11.45 | | | | | | | | | | (4996) all_4_1 = e1 % 71.75/11.45 | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | SIMP: (4996) implies: % 71.75/11.45 | | | | | | | | | | (4997) all_4_1 = e1 % 71.75/11.45 | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | COMBINE_EQS: (622), (4997) imply: % 71.75/11.45 | | | | | | | | | | (4998) all_8_19 = e1 % 71.75/11.45 | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | REDUCE: (114), (4997) imply: % 71.75/11.45 | | | | | | | | | | (4999) ~ (all_4_3 = e1) % 71.75/11.45 | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | REDUCE: (112), (4997) imply: % 71.75/11.45 | | | | | | | | | | (5000) ~ (all_4_6 = e1) % 71.75/11.45 | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | REDUCE: (110), (4997) imply: % 71.75/11.45 | | | | | | | | | | (5001) ~ (all_4_16 = e1) % 71.75/11.45 | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | SIMP: (5001) implies: % 71.75/11.45 | | | | | | | | | | (5002) ~ (all_4_16 = e1) % 71.75/11.45 | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | REDUCE: (109), (4997) imply: % 71.75/11.45 | | | | | | | | | | (5003) ~ (all_4_21 = e1) % 71.75/11.45 | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | REDUCE: (560), (4997) imply: % 71.75/11.45 | | | | | | | | | | (5004) op(e1, e4) = all_8_10 % 71.75/11.45 | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | REDUCE: (561), (4997) imply: % 71.75/11.45 | | | | | | | | | | (5005) op(e1, e3) = all_8_9 % 71.75/11.45 | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | BETA: splitting (194) gives: % 71.75/11.45 | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | Case 1: % 71.75/11.45 | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | (5006) all_6_0 = e1 % 71.75/11.45 | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | REF_CLOSE: (479), (518), (5006) are inconsistent by sub-proof % 71.75/11.45 | | | | | | | | | | | #268. % 71.75/11.45 | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | (5007) ~ (all_6_0 = e1) % 71.75/11.45 | | | | | | | | | | | (5008) all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | % 71.75/11.45 | | | | | | | | | | | all_6_0 = e0 % 71.75/11.45 | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | BETA: splitting (5008) gives: % 71.75/11.45 | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | Case 1: % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | (5009) all_6_0 = e4 % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | COMBINE_EQS: (479), (5009) imply: % 71.75/11.45 | | | | | | | | | | | | (5010) all_4_0 = e4 % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | SIMP: (5010) implies: % 71.75/11.45 | | | | | | | | | | | | (5011) all_4_0 = e4 % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | COMBINE_EQS: (419), (5011) imply: % 71.75/11.45 | | | | | | | | | | | | (5012) all_10_0 = e4 % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | REDUCE: (121), (5011) imply: % 71.75/11.45 | | | | | | | | | | | | (5013) ~ (all_4_3 = e4) % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | SIMP: (5013) implies: % 71.75/11.45 | | | | | | | | | | | | (5014) ~ (all_4_3 = e4) % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | REDUCE: (119), (5011) imply: % 71.75/11.45 | | | | | | | | | | | | (5015) ~ (all_4_5 = e4) % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | SIMP: (5015) implies: % 71.75/11.45 | | | | | | | | | | | | (5016) ~ (all_4_5 = e4) % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | REDUCE: (117), (5011) imply: % 71.75/11.45 | | | | | | | | | | | | (5017) ~ (all_4_15 = e4) % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | SIMP: (5017) implies: % 71.75/11.45 | | | | | | | | | | | | (5018) ~ (all_4_15 = e4) % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | REDUCE: (116), (5011) imply: % 71.75/11.45 | | | | | | | | | | | | (5019) ~ (all_4_20 = e4) % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | SIMP: (5019) implies: % 71.75/11.45 | | | | | | | | | | | | (5020) ~ (all_4_20 = e4) % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | BETA: splitting (181) gives: % 71.75/11.45 | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | Case 1: % 71.75/11.45 | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | (5021) all_6_15 = e1 % 71.75/11.45 | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | COMBINE_EQS: (494), (5021) imply: % 71.75/11.45 | | | | | | | | | | | | | (5022) all_4_3 = e1 % 71.75/11.45 | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | REDUCE: (601), (5022) imply: % 71.75/11.45 | | | | | | | | | | | | | (5023) $false % 71.75/11.45 | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | CLOSE: (5023) is inconsistent. % 71.75/11.45 | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | (5024) ~ (all_6_15 = e1) % 71.75/11.45 | | | | | | | | | | | | | (5025) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | % 71.75/11.45 | | | | | | | | | | | | | all_6_15 = e0 % 71.75/11.45 | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | BETA: splitting (5025) gives: % 71.75/11.45 | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | Case 1: % 71.75/11.45 | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | (5026) all_6_15 = e4 % 71.75/11.45 | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | COMBINE_EQS: (494), (5026) imply: % 71.75/11.45 | | | | | | | | | | | | | | (5027) all_4_3 = e4 % 71.75/11.45 | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | REDUCE: (5014), (5027) imply: % 71.75/11.45 | | | | | | | | | | | | | | (5028) $false % 71.75/11.45 | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | CLOSE: (5028) is inconsistent. % 71.75/11.45 | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | (5029) all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0 % 71.75/11.45 | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | BETA: splitting (5029) gives: % 71.75/11.45 | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | Case 1: % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | (5030) all_6_15 = e2 % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | COMBINE_EQS: (494), (5030) imply: % 71.75/11.45 | | | | | | | | | | | | | | | (5031) all_4_3 = e2 % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | COMBINE_EQS: (620), (5031) imply: % 71.75/11.45 | | | | | | | | | | | | | | | (5032) all_8_3 = e2 % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | COMBINE_EQS: (372), (5031) imply: % 71.75/11.45 | | | | | | | | | | | | | | | (5033) all_10_12 = e2 % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | REDUCE: (101), (5031) imply: % 71.75/11.45 | | | | | | | | | | | | | | | (5034) ~ (all_4_8 = e2) % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | SIMP: (5034) implies: % 71.75/11.45 | | | | | | | | | | | | | | | (5035) ~ (all_4_8 = e2) % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | REDUCE: (100), (5031) imply: % 71.75/11.45 | | | | | | | | | | | | | | | (5036) ~ (all_4_13 = e2) % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | SIMP: (5036) implies: % 71.75/11.45 | | | | | | | | | | | | | | | (5037) ~ (all_4_13 = e2) % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | REDUCE: (532), (5031) imply: % 71.75/11.45 | | | | | | | | | | | | | | | (5038) ~ (e2 = e0) % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | REDUCE: (578), (5031) imply: % 71.75/11.45 | | | | | | | | | | | | | | | (5039) op(e2, e4) = all_8_28 % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | REDUCE: (579), (5031) imply: % 71.75/11.45 | | | | | | | | | | | | | | | (5040) op(e2, e1) = all_8_27 % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | REDUCE: (133), (5031) imply: % 71.75/11.45 | | | | | | | | | | | | | | | (5041) op(e1, e4) = e2 % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_36, % 71.75/11.45 | | | | | | | | | | | | | | | e0, e0, simplifying with (4989), (4990) gives: % 71.75/11.45 | | | | | | | | | | | | | | | (5042) all_8_36 = e4 % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_8, % 71.75/11.45 | | | | | | | | | | | | | | | all_8_9, e3, e1, simplifying with (132), (5005) % 71.75/11.45 | | | | | | | | | | | | | | | gives: % 71.75/11.45 | | | | | | | | | | | | | | | (5043) all_8_9 = all_4_8 % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_10, % 71.75/11.45 | | | | | | | | | | | | | | | e4, e1, simplifying with (5004), (5041) gives: % 71.75/11.45 | | | | | | | | | | | | | | | (5044) all_8_10 = e2 % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17, % 71.75/11.45 | | | | | | | | | | | | | | | all_8_27, e1, e2, simplifying with (135), (5040) % 71.75/11.45 | | | | | | | | | | | | | | | gives: % 71.75/11.45 | | | | | | | | | | | | | | | (5045) all_8_27 = all_4_17 % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_28, % 71.75/11.45 | | | | | | | | | | | | | | | e4, e2, simplifying with (22), (5039) gives: % 71.75/11.45 | | | | | | | | | | | | | | | (5046) all_8_28 = e3 % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | BETA: splitting (274) gives: % 71.75/11.45 | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | Case 1: % 71.75/11.45 | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | (5047) ~ (all_8_54 = e2) % 71.75/11.45 | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | REDUCE: (426), (5047) imply: % 71.75/11.45 | | | | | | | | | | | | | | | | (5048) ~ (all_4_6 = e2) % 71.75/11.45 | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | BETA: splitting (272) gives: % 71.75/11.45 | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | Case 1: % 71.75/11.45 | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | (5049) ~ (all_8_54 = e0) % 71.75/11.45 | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | REDUCE: (426), (5049) imply: % 71.75/11.45 | | | | | | | | | | | | | | | | | (5050) ~ (all_4_6 = e0) % 71.75/11.45 | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | BETA: splitting (327) gives: % 71.75/11.45 | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.45 | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | (5051) all_10_2 = e0 % 71.75/11.45 | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4995), (5051) imply: % 71.75/11.45 | | | | | | | | | | | | | | | | | | (5052) e1 = e0 % 71.75/11.45 | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | SIMP: (5052) implies: % 71.75/11.45 | | | | | | | | | | | | | | | | | | (5053) e1 = e0 % 71.75/11.45 | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | REDUCE: (609), (5053) imply: % 71.75/11.45 | | | | | | | | | | | | | | | | | | (5054) $false % 71.75/11.45 | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | CLOSE: (5054) is inconsistent. % 71.75/11.45 | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | (5055) all_10_3 = e0 | all_10_5 = e0 | all_10_10 = e0 | % 71.75/11.45 | | | | | | | | | | | | | | | | | | all_10_17 = e0 % 71.75/11.45 | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | BETA: splitting (5055) gives: % 71.75/11.45 | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | (5056) all_10_3 = e0 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (5056) imply: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | (5057) all_4_6 = e0 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | REDUCE: (5050), (5057) imply: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | (5058) $false % 71.75/11.45 | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | CLOSE: (5058) is inconsistent. % 71.75/11.45 | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | (5059) ~ (all_10_3 = e0) % 71.75/11.45 | | | | | | | | | | | | | | | | | | | (5060) all_10_5 = e0 | all_10_10 = e0 | all_10_17 = e0 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | BETA: splitting (189) gives: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | (5061) all_6_6 = e1 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (5061) imply: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | (5062) all_4_6 = e1 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | REDUCE: (624), (5062) imply: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | (5063) $false % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | CLOSE: (5063) is inconsistent. % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | (5064) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | all_6_6 = e0 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5064) gives: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | (5065) all_6_6 = e4 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (5065) imply: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | (5066) all_4_6 = e4 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | REDUCE: (614), (5066) imply: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | (5067) $false % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | CLOSE: (5067) is inconsistent. % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | (5068) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e0 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5068) gives: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | (5069) all_6_6 = e2 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (5069) imply: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | (5070) all_4_6 = e2 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5048), (5070) imply: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | (5071) $false % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5071) is inconsistent. % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | (5072) all_6_6 = e3 | all_6_6 = e0 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5072) gives: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | (5073) all_6_6 = e3 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (5073) imply: % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | (5074) all_4_6 = e3 % 71.75/11.45 | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (5074) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | (5075) ~ (all_4_8 = e3) % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5075) implies: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | (5076) ~ (all_4_8 = e3) % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (82), (5074) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | (5077) ~ (all_4_16 = e3) % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5077) implies: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | (5078) ~ (all_4_16 = e3) % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | (5079) all_6_16 = e1 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (5079) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | (5080) all_4_8 = e1 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (5080) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | (5081) $false % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5081) is inconsistent. % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | (5082) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5082) gives: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | (5083) all_6_16 = e4 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (5083) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | (5084) all_4_8 = e4 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (5084) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | (5085) ~ (all_4_7 = e4) % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (5086) all_6_11 = e1 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (5086) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (5087) all_4_7 = e1 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (77), (5087) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (5088) ~ (all_4_17 = e1) % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5088) implies: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (5089) ~ (all_4_17 = e1) % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5090) all_10_16 = e3 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (5090) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5091) all_4_20 = e3 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (5091) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5092) ~ (all_4_15 = e3) % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5093) all_6_3 = e1 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (542), (5093) are inconsistent by sub-proof % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #219. % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5094) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e0 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5095) all_6_13 = e1 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (5089), (5095) are inconsistent by % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #247. % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5096) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_13 = e0 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (49), (50), (187), (475), (483), (491), % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (529), (544), (545), (546), (5002), (5018), % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5078), (5092), (5094), (5096) are inconsistent by % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #13. % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5097) ~ (all_10_16 = e3) % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (5097) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5098) ~ (all_4_20 = e3) % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5099) all_6_4 = e1 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (604), (5099) are inconsistent by sub-proof % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #84. % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5100) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_4 = e0 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5060) gives: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5101) all_10_5 = e0 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (397), (2068), (5101) are inconsistent by % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #12. % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5102) all_10_10 = e0 | all_10_17 = e0 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5102) gives: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5103) all_10_10 = e0 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (394), (545), (5103) are inconsistent by sub-proof % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #186. % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5104) all_10_17 = e0 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (5104) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5105) all_4_21 = e0 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (5105) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5106) ~ (all_4_20 = e0) % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (2073), (5020), (5098), (5100), (5106) are % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #11. % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (5107) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_11 = e0 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (525), (2066), (2067), (5085), (5107) are % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #10. % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | (5108) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (534), (5035), (5076), (5108) are % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #175. % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | (5109) all_6_6 = e0 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (5109) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | (5110) all_4_6 = e0 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5050), (5110) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | (5111) $false % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5111) is inconsistent. % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | End of split % 71.75/11.46 | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | End of split % 71.75/11.46 | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | End of split % 71.75/11.46 | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | Case 2: % 71.75/11.46 | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | (5112) all_8_54 = e0 % 71.75/11.46 | | | | | | | | | | | | | | | | | (5113) all_8_53 = e3 % 71.75/11.46 | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (5113) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | (5114) all_4_21 = e3 % 71.75/11.46 | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | SIMP: (5114) implies: % 71.75/11.46 | | | | | | | | | | | | | | | | | (5115) all_4_21 = e3 % 71.75/11.46 | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | COMBINE_EQS: (426), (5112) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | (5116) all_4_6 = e0 % 71.75/11.46 | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | SIMP: (5116) implies: % 71.75/11.46 | | | | | | | | | | | | | | | | | (5117) all_4_6 = e0 % 71.75/11.46 | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (5117) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | (5118) all_10_3 = e0 % 71.75/11.46 | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | REDUCE: (86), (5117) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | (5119) ~ (all_4_7 = e0) % 71.75/11.46 | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | REDUCE: (85), (5117) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | (5120) ~ (all_4_8 = e0) % 71.75/11.46 | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | REDUCE: (83), (5117) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | (5121) ~ (all_4_11 = e0) % 71.75/11.46 | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | REDUCE: (82), (5117) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | (5122) ~ (all_4_16 = e0) % 71.75/11.46 | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | REDUCE: (60), (5115) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | (5123) ~ (all_4_11 = e3) % 71.75/11.46 | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | REDUCE: (42), (5115) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | (5124) ~ (all_4_16 = e3) % 71.75/11.46 | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | REDUCE: (35), (5115) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | (5125) ~ (all_4_20 = e3) % 71.75/11.46 | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | REDUCE: (568), (5117) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | (5126) op(e0, e3) = all_8_11 % 71.75/11.46 | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | REDUCE: (566), (5115) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | (5127) op(e3, e3) = all_8_16 % 71.75/11.46 | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | REDUCE: (142), (5117) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | (5128) op(e3, e3) = e0 % 71.75/11.46 | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | BETA: splitting (191) gives: % 71.75/11.46 | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.46 | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | (5129) all_6_4 = e1 % 71.75/11.46 | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (604), (5129) are inconsistent by sub-proof % 71.75/11.46 | | | | | | | | | | | | | | | | | | #84. % 71.75/11.46 | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.46 | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | (5130) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | % 71.75/11.46 | | | | | | | | | | | | | | | | | | all_6_4 = e0 % 71.75/11.46 | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | BETA: splitting (5130) gives: % 71.75/11.46 | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | (5131) all_6_4 = e4 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (5020), (5131) are inconsistent by % 71.75/11.46 | | | | | | | | | | | | | | | | | | | sub-proof #83. % 71.75/11.46 | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | (5132) ~ (all_6_4 = e4) % 71.75/11.46 | | | | | | | | | | | | | | | | | | | (5133) all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e0 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | BETA: splitting (5133) gives: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | (5134) all_6_4 = e2 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (2073), (5134) are inconsistent by % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | sub-proof #82. % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | (5135) all_6_4 = e3 | all_6_4 = e0 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5135) gives: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | Case 1: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | (5136) all_6_4 = e3 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (5125), (5136) are inconsistent by % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | sub-proof #72. % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | Case 2: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | (5137) all_6_4 = e0 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (5137) imply: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | (5138) all_4_20 = e0 % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | SIMP: (5138) implies: % 71.75/11.46 | | | | | | | | | | | | | | | | | | | | | (5139) all_4_20 = e0 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (452), (5139) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | (5140) all_8_48 = e0 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (5139) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | (5141) all_10_16 = e0 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (5139) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | (5142) ~ (all_4_5 = e0) % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5020), (5139) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | (5143) ~ (e4 = e0) % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9, % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | all_8_11, e3, e0, simplifying with (127), (5126) % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | gives: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | (5144) all_8_11 = all_4_9 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_16, % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (5127), (5128) gives: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | (5145) all_8_16 = e0 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | (5146) all_6_22 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (5146) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | (5147) all_4_14 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (540), (5147) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | (5148) $false % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5148) is inconsistent. % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | (5149) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | all_6_22 = e0 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | (5150) all_6_3 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (542), (5150) are inconsistent by sub-proof % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | #219. % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | (5151) ~ (all_6_3 = e1) % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | (5152) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | all_6_3 = e0 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | (5153) all_6_17 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (603), (5153) are inconsistent by sub-proof % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | #182. % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | (5154) ~ (all_6_17 = e1) % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | (5155) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | all_6_17 = e0 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | (5156) all_6_1 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (5156) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | (5157) all_4_5 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (533), (5157) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | (5158) $false % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5158) is inconsistent. % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | (5159) ~ (all_6_1 = e1) % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | (5160) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | all_6_1 = e0 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (5161) all_6_13 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (5161) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (5162) all_4_17 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5162) implies: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (5163) all_4_17 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (378), (5163) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (5164) all_10_11 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (77), (5163) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (5165) ~ (all_4_7 = e1) % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (5163) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | (5166) op(e1, e1) = all_8_24 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5167) all_6_11 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (5167) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5168) all_4_7 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5165), (5168) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5169) $false % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5169) is inconsistent. % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5170) ~ (all_6_11 = e1) % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5171) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_11 = e0 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5171) gives: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5172) all_6_11 = e4 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (5172) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5173) all_4_7 = e4 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (5173) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5174) all_10_7 = e4 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (5173) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5175) ~ (all_4_8 = e4) % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5175) implies: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5176) ~ (all_4_8 = e4) % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2067), (5173) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5177) ~ (e4 = e2) % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (571), (5173) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5178) op(e4, e3) = all_8_21 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5179) all_6_16 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (5179) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5180) all_4_8 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (5180) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5181) $false % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5181) is inconsistent. % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5182) ~ (all_6_16 = e1) % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5183) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5183) gives: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5184) all_6_16 = e4 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (5184) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5185) all_4_8 = e4 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5176), (5185) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5186) $false % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5186) is inconsistent. % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5187) ~ (all_6_16 = e4) % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5188) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5188) gives: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5189) all_6_16 = e2 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (5189) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5190) all_4_8 = e2 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5035), (5190) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5191) $false % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5191) is inconsistent. % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5192) all_6_16 = e3 | all_6_16 = e0 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5192) gives: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5193) all_6_16 = e3 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (5193) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5194) all_4_8 = e3 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (5194) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5195) all_10_13 = e3 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (5194) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5196) ~ (all_4_5 = e3) % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (5194) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5197) ~ (all_4_9 = e3) % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5197) implies: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5198) ~ (all_4_9 = e3) % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (5194) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5199) ~ (all_4_13 = e3) % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5199) implies: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5200) ~ (all_4_13 = e3) % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5176), (5194) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5201) ~ (e4 = e3) % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (5194) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5202) op(e3, e3) = all_8_30 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (5194) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5203) op(e1, e3) = e3 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5204) all_10_1 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (5204) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5205) all_4_5 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (533), (5205) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5206) $false % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5206) is inconsistent. % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5207) all_10_3 = e1 | all_10_7 = e1 | all_10_13 = e1 | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (314) gives: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5208) all_10_12 = e4 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5033), (5208) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5209) e4 = e2 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5177), (5209) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5210) $false % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5210) is inconsistent. % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5211) all_10_13 = e4 | all_10_14 = e4 | all_10_15 = e4 | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e4 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5207) gives: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5212) all_10_3 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (609), (5118), (5212) are inconsistent by % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #24. % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5213) all_10_7 = e1 | all_10_13 = e1 | all_10_21 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5211) gives: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5214) all_10_13 = e4 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5195), (5214) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5215) e4 = e3 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (5215) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5216) $false % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5216) is inconsistent. % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5217) all_10_14 = e4 | all_10_15 = e4 | all_10_19 = e4 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5217) gives: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5218) all_10_14 = e4 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (5218) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5219) all_4_13 = e4 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5219) implies: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5220) all_4_13 = e4 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (5220) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5221) ~ (all_4_11 = e4) % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (5220) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5222) ~ (all_4_14 = e4) % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (5220) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5223) op(e4, e1) = all_8_31 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5213) gives: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5224) all_10_7 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5174), (5224) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5225) e4 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (5225) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5226) $false % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5226) is inconsistent. % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5227) all_10_13 = e1 | all_10_21 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5227) gives: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5228) all_10_13 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5195), (5228) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5229) e3 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5229) implies: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5230) e3 = e1 % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (5230) imply: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5231) $false % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5231) is inconsistent. % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.46 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5232) all_10_21 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (5232) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5233) all_4_9 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5233) implies: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5234) all_4_9 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (5234) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5235) ~ (all_4_19 = e1) % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5235) implies: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5236) ~ (all_4_19 = e1) % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5198), (5234) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5237) ~ (e3 = e1) % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (5234) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5238) op(e1, e3) = all_8_39 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (5234) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5239) op(e0, e3) = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5240) all_6_7 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (536), (5240) are inconsistent by sub-proof % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #183. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5241) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_7 = e0 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5241) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5242) all_6_7 = e4 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (5221), (5242) are inconsistent by % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5243) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5243) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5244) all_6_7 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (5244) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5245) all_4_11 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5245) implies: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5246) all_4_11 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (5246) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5247) ~ (all_4_14 = e2) % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5247) implies: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5248) ~ (all_4_14 = e2) % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (5246) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5249) ~ (all_4_16 = e2) % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5249) implies: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5250) ~ (all_4_16 = e2) % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5251) all_6_8 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (5251) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5252) all_4_16 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5002), (5252) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5253) $false % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5253) is inconsistent. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5254) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_8 = e0 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5255) all_10_1 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (5255) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5256) all_4_5 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (5256) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5257) ~ (all_4_15 = e2) % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5257) implies: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5258) ~ (all_4_15 = e2) % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (533), (5256) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5259) ~ (e2 = e1) % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (5256) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5260) op(e4, e3) = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (341) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5261) all_10_0 = e3 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5012), (5261) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5262) e4 = e3 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (5262) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5263) $false % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5263) is inconsistent. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5264) all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e3 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5254) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5265) all_6_8 = e4 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (5265) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5266) all_4_16 = e4 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5266) implies: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5267) all_4_16 = e4 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (5267) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5268) all_10_10 = e4 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (5267) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5269) op(e4, e3) = all_8_14 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (5267) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5270) op(e4, e1) = all_8_15 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5264) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5271) all_10_1 = e3 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (5255), (5271) are inconsistent by sub-proof % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #68. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5272) all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5273) all_10_9 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (5273) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5274) all_4_15 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5258), (5274) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5275) $false % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5275) is inconsistent. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5276) all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5149) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5277) all_6_22 = e4 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (504), (4988), (5277) are inconsistent by % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #35. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5278) all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5272) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5279) all_10_4 = e3 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (413), (5279) are inconsistent by sub-proof % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #114. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5280) all_10_9 = e3 | all_10_16 = e3 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5280) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5281) all_10_9 = e3 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (5281) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5282) all_4_15 = e3 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (5282) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5283) op(e4, e1) = e3 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5276) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5284) all_10_10 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5268), (5284) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5285) e4 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5285) implies: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5286) e4 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5177), (5286) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5287) $false % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5287) is inconsistent. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5288) all_10_11 = e2 | all_10_15 = e2 | all_10_23 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5288) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5289) all_10_11 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5164), (5289) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5290) e2 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5259), (5290) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5291) $false % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5291) is inconsistent. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5292) all_10_15 = e2 | all_10_23 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5278) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5293) all_6_22 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (5293) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5294) all_4_14 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5248), (5294) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5295) $false % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5295) is inconsistent. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5296) all_6_22 = e3 | all_6_22 = e0 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5296) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5297) all_6_22 = e3 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (5297) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5298) all_4_14 = e3 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (126), (5298) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5299) op(e0, e2) = e3 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5292) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5300) all_10_15 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (363), (5038), (5300) are inconsistent by % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #232. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5301) all_10_23 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (5301) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5302) all_4_19 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5302) implies: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5303) all_4_19 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (5303) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5304) op(e2, e0) = all_8_42 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_24, % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (21), (5166) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5305) all_8_24 = e0 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_39, % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (5203), (5238) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5306) all_8_39 = e3 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_42, % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e2, simplifying with (2082), (5304) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5307) all_8_42 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_30, % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (5128), (5202) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5308) all_8_30 = e0 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_31, % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_15, e1, e4, simplifying with (5223), (5270) % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5309) all_8_15 = all_8_31 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_15, % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e4, simplifying with (5270), (5283) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5310) all_8_15 = e3 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_21, % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_14, e3, e4, simplifying with (5178), (5269) % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5311) all_8_14 = all_8_21 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_14, % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (5260), (5269) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5312) all_8_14 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5311), (5312) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5313) all_8_21 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5313) implies: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5314) all_8_21 = e2 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5309), (5310) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5315) all_8_31 = e3 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (12) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5316) unit = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3), (5316) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5317) op(e1, e1) = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, e1, e1, % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (21), (5317) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5318) e1 = e0 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (609), (5318) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5319) $false % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5319) is inconsistent. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5320) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (5), (7), (8), (9), (10), (609), (2082), % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5038), (5128), (5202), (5203), (5223), (5239), % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5259), (5260), (5269), (5270), (5283), (5299), % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5304), (5320), (function-axioms) are inconsistent % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #16. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5321) all_6_22 = e0 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (5321) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5322) all_4_14 = e0 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4986), (5322) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5323) $false % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5323) is inconsistent. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5324) all_10_16 = e3 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5141), (5324) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5325) e3 = e0 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5325) implies: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5326) e3 = e0 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (5326) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5327) $false % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5327) is inconsistent. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5328) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (545), (5124), (5250), (5328) are % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #199. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5329) ~ (all_10_1 = e2) % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (416), (5329) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5330) ~ (all_4_5 = e2) % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (5016), (5142), (5160), (5196), (5330) are % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #26. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5331) all_6_7 = e3 | all_6_7 = e0 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (2068), (5123), (5331) are inconsistent by % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #136. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5332) all_10_15 = e4 | all_10_19 = e4 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5332) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5333) all_10_15 = e4 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (363), (5333) are inconsistent by sub-proof % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #15. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5334) all_10_19 = e4 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (5334) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5335) e4 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (5335) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5336) $false % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5336) is inconsistent. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5337) all_6_16 = e0 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (5337) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5338) all_4_8 = e0 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (534), (5338) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5339) $false % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5339) is inconsistent. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5340) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e0 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (525), (2066), (2067), (5340) are % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #169. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | (5341) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_13 = e0 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5342) all_10_6 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (388), (5342) are inconsistent by sub-proof % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | #245. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5343) all_10_7 = e1 | all_10_8 = e1 | all_10_11 = e1 | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (315) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5344) all_10_9 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (5344) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5345) all_4_15 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5345) implies: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5346) all_4_15 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (542), (5346) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5347) $false % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5347) is inconsistent. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5348) all_10_10 = e1 | all_10_11 = e1 | all_10_15 = e1 | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5343) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5349) all_10_7 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (5349) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5350) all_4_7 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (5350) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5351) ~ (all_4_8 = e1) % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (77), (5350) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5352) ~ (all_4_17 = e1) % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5352) implies: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5353) ~ (all_4_17 = e1) % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (571), (5350) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5354) op(e1, e3) = all_8_21 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (5350) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5355) op(e2, e3) = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5348) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5356) all_10_10 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (394), (5002), (5356) are inconsistent by % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #14. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5357) all_10_11 = e1 | all_10_15 = e1 | all_10_23 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5357) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5358) all_10_11 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (378), (5353), (5358) are inconsistent by % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #234. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5359) all_10_15 = e1 | all_10_23 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5359) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5360) all_10_15 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (363), (609), (5360) are inconsistent by sub-proof % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #70. % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5361) all_10_23 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (5361) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5362) all_4_19 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5362) implies: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5363) all_4_19 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (346), (5363) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5364) all_8_68 = e1 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (5363) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5365) ~ (all_4_9 = e1) % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5366) all_10_9 = e3 % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (5366) imply: % 71.85/11.47 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5367) all_4_15 = e3 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5367) implies: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5368) all_4_15 = e3 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (5368) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5369) ~ (all_4_5 = e3) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (5368) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5370) ~ (all_4_16 = e3) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (556), (5368) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5371) op(e3, e1) = all_8_6 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (5368) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5372) op(e4, e1) = e3 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5373) all_10_9 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (5366), (5373) are inconsistent by sub-proof % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #43. % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5374) all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5375) all_10_1 = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (5375) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5376) all_4_5 = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5016), (5376) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5377) $false % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5377) is inconsistent. % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5378) all_10_3 = e4 | all_10_7 = e4 | all_10_13 = e4 | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5378) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5379) all_10_3 = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (5118), (5379) are inconsistent by sub-proof % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #155. % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5380) all_10_7 = e4 | all_10_13 = e4 | all_10_21 = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5341) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5381) all_6_13 = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (5381) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5382) all_4_17 = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5382) implies: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5383) all_4_17 = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (5383) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5384) ~ (all_4_16 = e4) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (573), (5383) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5385) op(e4, e2) = all_8_23 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (5383) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5386) op(e4, e1) = all_8_24 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (5383) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5387) op(e2, e1) = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5388) all_6_8 = e1 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (5388) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5389) all_4_16 = e1 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5002), (5389) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5390) $false % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5390) is inconsistent. % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5391) ~ (all_6_8 = e1) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5392) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_8 = e0 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5374) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5393) all_10_10 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (394), (5393) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5394) all_4_16 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5394) implies: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5395) all_4_16 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (5395) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5396) ~ (all_4_11 = e2) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5002), (5395) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5397) ~ (e2 = e1) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (5395) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5398) op(e2, e1) = all_8_15 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (5395) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5399) op(e3, e1) = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5380) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5400) all_10_7 = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (5349), (5400) are inconsistent by sub-proof % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #139. % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5401) all_10_13 = e4 | all_10_21 = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5401) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5402) all_10_13 = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (5402) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5403) all_4_8 = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5403) implies: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5404) all_4_8 = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (5404) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5405) ~ (all_4_9 = e4) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (5404) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5406) ~ (all_4_13 = e4) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5406) implies: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5407) ~ (all_4_13 = e4) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (5404) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5408) op(e4, e3) = all_8_30 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (5404) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5409) op(e4, e1) = all_8_29 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (5404) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5410) op(e1, e3) = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5411) all_6_7 = e1 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (536), (5411) are inconsistent by sub-proof % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #183. % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5412) ~ (all_6_7 = e1) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5413) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_7 = e0 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (324) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5414) all_10_4 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (413), (5397), (5414) are inconsistent by % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36. % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5415) all_10_5 = e2 | all_10_8 = e2 | all_10_14 = e2 | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5415) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5416) all_10_5 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (5416) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5417) all_4_11 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5417) implies: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5418) all_4_11 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5396), (5418) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5419) $false % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5419) is inconsistent. % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5420) ~ (all_10_5 = e2) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5421) all_10_8 = e2 | all_10_14 = e2 | all_10_22 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5421) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5422) all_10_8 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (74), (83), (85), (101), (121), (180), (181), % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (189), (194), (323), (326), (366), (397), (413), % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (479), (486), (494), (496), (516), (517), (518), % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (521), (532), (534), (543), (601), (602), (609), % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (612), (614), (624), (4981), (4986), (4988), % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5038), (5048), (5422) are inconsistent by % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #134. % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5423) all_10_14 = e2 | all_10_22 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5160) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5424) all_6_1 = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (5016), (5424) are inconsistent by % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #221. % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5425) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5425) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5426) all_6_1 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (5426) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5427) all_4_5 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5427) implies: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5428) all_4_5 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (5428) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5429) ~ (all_4_9 = e2) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5429) implies: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5430) ~ (all_4_9 = e2) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (5428) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5431) op(e2, e3) = all_8_2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (5428) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5432) op(e4, e3) = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5433) all_6_21 = e1 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (5433) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5434) all_4_9 = e1 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5365), (5434) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5435) $false % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5435) is inconsistent. % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5436) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_21 = e0 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5436) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5437) all_6_21 = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (5437) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5438) all_4_9 = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4987), (5438) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5439) $false % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5439) is inconsistent. % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5440) all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5440) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5441) all_6_21 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (5441) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5442) all_4_9 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5430), (5442) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5443) $false % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5443) is inconsistent. % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5444) all_6_21 = e3 | all_6_21 = e0 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5444) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5445) all_6_21 = e3 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (5445) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5446) all_4_9 = e3 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (5446) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5447) all_8_66 = e3 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5155) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5448) all_6_17 = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (5407), (5448) are inconsistent by % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #52. % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5449) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5413) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5450) all_6_7 = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (5450) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5451) all_4_11 = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5451) implies: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5452) all_4_11 = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (5452) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5453) ~ (all_4_14 = e4) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (5452) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5454) op(e4, e3) = all_8_12 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (5452) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5455) op(e4, e2) = all_8_13 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (5452) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5456) op(e3, e2) = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5423) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5457) all_10_14 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (5457) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5458) all_4_13 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5458) implies: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5459) all_4_13 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5037), (5459) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5460) $false % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5460) is inconsistent. % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5461) all_10_22 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (5461) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5462) all_4_14 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5462) implies: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5463) all_4_14 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (5463) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5464) all_8_67 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4988), (5463) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5465) ~ (e4 = e2) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5465) implies: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5466) ~ (e4 = e2) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5449) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5467) all_6_17 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (5467) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5468) all_4_13 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5037), (5468) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5469) $false % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5469) is inconsistent. % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5470) ~ (all_6_17 = e2) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5471) all_6_17 = e3 | all_6_17 = e0 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5471) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5472) all_6_17 = e3 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (5472) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5473) all_4_13 = e3 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (5473) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5474) all_8_4 = e3 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5407), (5473) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5475) ~ (e4 = e3) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (5473) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5476) op(e3, e2) = all_8_32 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_21, % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (5354), (5410) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5477) all_8_21 = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_15, % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (5387), (5398) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5478) all_8_15 = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_2, % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (5355), (5431) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5479) all_8_2 = e1 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_6, % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (5371), (5399) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5480) all_8_6 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_32, % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (5456), (5476) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5481) all_8_32 = e4 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_29, % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_24, e1, e4, simplifying with (5386), (5409) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5482) all_8_24 = all_8_29 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_24, % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e4, simplifying with (5372), (5386) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5483) all_8_24 = e3 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_13, % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (23), (5455) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5484) all_8_13 = e1 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_23, % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_13, e2, e4, simplifying with (5385), (5455) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5485) all_8_13 = all_8_23 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_30, % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12, e3, e4, simplifying with (5408), (5454) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5486) all_8_12 = all_8_30 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_12, % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (5432), (5454) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5487) all_8_12 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5486), (5487) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5488) all_8_30 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5488) implies: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5489) all_8_30 = e2 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5484), (5485) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5490) all_8_23 = e1 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5482), (5483) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5491) all_8_29 = e3 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5492) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) | (all_8_13 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5492) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5493) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5493) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5494) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5494) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5495) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (5479), (5495) are inconsistent by sub-proof % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #216. % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5496) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (5474), (5496) are inconsistent by sub-proof % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #152. % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5497) (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_8 = e4 & ~ (all_8_7 = e0) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_48 = all_8_65)) | (all_8_10 = e3 & % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5497) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5498) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5466), (5480), (5498) are inconsistent by % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #151. % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5499) (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5499) gives: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5500) all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5500) implies: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5501) ~ (all_8_48 = all_8_65) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4974), (5140), (5501) imply: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5502) $false % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5502) is inconsistent. % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5503) all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (5044), (5503) are inconsistent by sub-proof % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #150. % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5504) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (20), (4998), (5113), (5397), (5447), % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5466), (5477), (5478), (5484), (5504) are % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #145. % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.48 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5505) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) | (all_8_35 = e1 & ~ (all_8_34 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_63 = all_8_68)) | (all_8_37 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_39 = e0 & ~ (all_8_38 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_53 = all_8_66)) | (all_8_41 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5505) gives: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5506) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5506) gives: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5507) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (2060), (5464), (5483), (5507) are % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #63. % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5508) (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5508) gives: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5509) all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (5046), (5509) are inconsistent by sub-proof % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #208. % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5510) (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61)) | (all_8_32 = e1 & ~ (all_8_31 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_57 = all_8_62)) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5510) gives: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5511) all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5397), (5489), (5511) are inconsistent by % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #207. % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5512) all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (5481), (5512) are inconsistent by sub-proof % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #143. % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5513) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) | (all_8_39 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5513) gives: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5514) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5514) gives: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5515) all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5515) implies: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5516) ~ (all_8_63 = all_8_68) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (597), (5364), (5516) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5517) $false % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5517) is inconsistent. % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5518) all_8_37 = e0 & ~ (all_8_36 = e4) & ~ (all_8_48 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_65) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5518) implies: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5519) ~ (all_8_48 = all_8_65) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4974), (5140), (5519) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5520) $false % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5520) is inconsistent. % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5521) (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (597), (2060), (5113), (5364), (5447), (5464), % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5521) are inconsistent by sub-proof #28. % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5522) all_6_17 = e0 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (5522) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5523) all_4_13 = e0 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (543), (5523) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5524) $false % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5524) is inconsistent. % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5525) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (2068), (5123), (5396), (5525) are % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #135. % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5526) all_6_21 = e0 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (5526) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5527) all_4_9 = e0 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4984), (5527) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5528) $false % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5528) is inconsistent. % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5529) all_6_1 = e3 | all_6_1 = e0 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (5142), (5369), (5529) are inconsistent by % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #187. % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5530) all_10_21 = e4 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (5530) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5531) all_4_9 = e4 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5531) implies: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5532) all_4_9 = e4 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4987), (5532) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5533) $false % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5533) is inconsistent. % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5534) ~ (all_10_10 = e2) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (394), (5534) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5535) ~ (all_4_16 = e2) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (545), (5124), (5384), (5392), (5535) are % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #198. % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5536) all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (529), (546), (2072), (5536) are % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #231. % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5537) ~ (all_10_9 = e3) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (409), (5537) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5538) ~ (all_4_15 = e3) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (49), (50), (187), (475), (483), (491), % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (529), (544), (545), (546), (5002), (5018), % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5124), (5152), (5341), (5538) are inconsistent by % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #13. % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5539) ~ (all_10_7 = e1) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (5539) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5540) ~ (all_4_7 = e1) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (77), (185), (489), (491), (525), (529), (546), % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2066), (2067), (2072), (5341), (5540) are % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #89. % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | End of split % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | (5541) all_8_54 = e2 % 71.85/11.49 | | | | | | | | | | | | | | | | (5542) all_8_51 = e3 % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (5542) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | (5543) all_4_11 = e3 % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | SIMP: (5543) implies: % 71.85/11.49 | | | | | | | | | | | | | | | | (5544) all_4_11 = e3 % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | COMBINE_EQS: (426), (5541) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | (5545) all_4_6 = e2 % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | SIMP: (5545) implies: % 71.85/11.49 | | | | | | | | | | | | | | | | (5546) all_4_6 = e2 % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (5546) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | (5547) all_10_3 = e2 % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | REDUCE: (93), (5546) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | (5548) ~ (all_4_5 = e2) % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | REDUCE: (86), (5546) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | (5549) ~ (all_4_7 = e2) % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | REDUCE: (84), (5546) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | (5550) ~ (all_4_9 = e2) % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | SIMP: (5550) implies: % 71.85/11.49 | | | | | | | | | | | | | | | | (5551) ~ (all_4_9 = e2) % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | REDUCE: (82), (5546) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | (5552) ~ (all_4_16 = e2) % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | SIMP: (5552) implies: % 71.85/11.49 | | | | | | | | | | | | | | | | (5553) ~ (all_4_16 = e2) % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | REDUCE: (81), (5546) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | (5554) ~ (all_4_21 = e2) % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | REDUCE: (63), (5544) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | (5555) ~ (all_4_13 = e3) % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | SIMP: (5555) implies: % 71.85/11.49 | | | | | | | | | | | | | | | | (5556) ~ (all_4_13 = e3) % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | REDUCE: (62), (5544) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | (5557) ~ (all_4_14 = e3) % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | SIMP: (5557) implies: % 71.85/11.49 | | | | | | | | | | | | | | | | (5558) ~ (all_4_14 = e3) % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | REDUCE: (61), (5544) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | (5559) ~ (all_4_16 = e3) % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | SIMP: (5559) implies: % 71.85/11.49 | | | | | | | | | | | | | | | | (5560) ~ (all_4_16 = e3) % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | REDUCE: (562), (5544) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | (5561) op(e3, e3) = all_8_12 % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | REDUCE: (142), (5546) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | (5562) op(e3, e3) = e2 % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | BETA: splitting (176) gives: % 71.85/11.49 | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | Case 1: % 71.85/11.49 | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | (5563) all_6_22 = e1 % 71.85/11.49 | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (5563) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | (5564) all_4_14 = e1 % 71.85/11.49 | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | REDUCE: (540), (5564) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | (5565) $false % 71.85/11.49 | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | CLOSE: (5565) is inconsistent. % 71.85/11.49 | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | (5566) ~ (all_6_22 = e1) % 71.85/11.49 | | | | | | | | | | | | | | | | | (5567) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | % 71.85/11.49 | | | | | | | | | | | | | | | | | all_6_22 = e0 % 71.85/11.49 | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | BETA: splitting (179) gives: % 71.85/11.49 | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.49 | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | (5568) all_6_17 = e1 % 71.85/11.49 | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (603), (5568) are inconsistent by sub-proof % 71.85/11.49 | | | | | | | | | | | | | | | | | | #182. % 71.85/11.49 | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | (5569) ~ (all_6_17 = e1) % 71.85/11.49 | | | | | | | | | | | | | | | | | | (5570) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | % 71.85/11.49 | | | | | | | | | | | | | | | | | | all_6_17 = e0 % 71.85/11.49 | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives: % 71.85/11.49 | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | (5571) all_6_9 = e1 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (5571) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | (5572) all_4_21 = e1 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | REDUCE: (605), (5572) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | (5573) $false % 71.85/11.49 | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | CLOSE: (5573) is inconsistent. % 71.85/11.49 | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | (5574) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | all_6_9 = e0 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | (5575) all_6_8 = e1 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (5575) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | (5576) all_4_16 = e1 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | REDUCE: (5002), (5576) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | (5577) $false % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | CLOSE: (5577) is inconsistent. % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | (5578) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | all_6_8 = e0 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | BETA: splitting (5578) gives: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | (5579) all_6_8 = e4 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (483), (5579) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | (5580) all_4_16 = e4 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (5580) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | (5581) ~ (all_4_17 = e4) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | SIMP: (5581) implies: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | (5582) ~ (all_4_17 = e4) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (5580) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | (5583) ~ (all_4_19 = e4) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | SIMP: (5583) implies: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | (5584) ~ (all_4_19 = e4) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | REDUCE: (42), (5580) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | (5585) ~ (all_4_21 = e4) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | SIMP: (5585) implies: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | (5586) ~ (all_4_21 = e4) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | REDUCE: (5553), (5580) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | (5587) ~ (e4 = e2) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (5580) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | (5588) op(e4, e3) = all_8_14 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | REDUCE: (565), (5580) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | (5589) op(e4, e1) = all_8_15 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (5580) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | (5590) op(e3, e1) = e4 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (183) gives: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | (5591) all_6_13 = e1 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (491), (5591) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | (5592) all_4_17 = e1 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5592) implies: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | (5593) all_4_17 = e1 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (77), (5593) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | (5594) ~ (all_4_7 = e1) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (5593) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | (5595) ~ (all_4_19 = e1) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5595) implies: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | (5596) ~ (all_4_19 = e1) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (574), (5593) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | (5597) op(e1, e1) = all_8_24 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (135), (5593) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | (5598) op(e2, e1) = e1 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | (5599) all_10_0 = e2 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5012), (5599) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | (5600) e4 = e2 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5587), (5600) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | (5601) $false % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5601) is inconsistent. % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | (5602) all_10_1 = e2 | all_10_4 = e2 | all_10_9 = e2 | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e2 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | (5603) all_10_20 = e1 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4980), (5603) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | (5604) e1 = e0 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (609), (5604) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | (5605) $false % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5605) is inconsistent. % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | (5606) all_10_21 = e1 | all_10_22 = e1 | all_10_23 = e1 | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e1 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | (5607) all_10_6 = e4 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (5607) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | (5608) e4 = e3 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (5608) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | (5609) $false % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5609) is inconsistent. % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | (5610) all_10_7 = e4 | all_10_8 = e4 | all_10_11 = e4 | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e4 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5610) gives: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (5611) all_10_7 = e4 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (5611) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (5612) all_4_7 = e4 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (571), (5612) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | (5613) op(e4, e3) = all_8_21 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5614) all_10_12 = e3 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5033), (5614) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5615) e3 = e2 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (5615) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5616) $false % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5616) is inconsistent. % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5617) all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e3 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5618) all_10_16 = e3 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (5618) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5619) all_4_20 = e3 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (5619) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5620) ~ (all_4_21 = e3) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5620) implies: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5621) ~ (all_4_21 = e3) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (558), (5619) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5622) op(e3, e0) = all_8_8 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5602) gives: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5623) all_10_1 = e2 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (5623) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5624) all_4_5 = e2 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5548), (5624) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5625) $false % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5625) is inconsistent. % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5626) all_10_4 = e2 | all_10_9 = e2 | all_10_16 = e2 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5606) gives: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5627) all_10_21 = e1 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (5627) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5628) all_4_9 = e1 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5628) implies: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5629) all_4_9 = e1 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5551), (5629) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5630) ~ (e2 = e1) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5630) implies: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5631) ~ (e2 = e1) % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (5629) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5632) op(e1, e3) = all_8_39 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (5629) imply: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5633) op(e0, e3) = e1 % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5617) gives: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.49 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5634) all_10_13 = e3 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (5634) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5635) all_4_8 = e3 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5635) implies: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5636) all_4_8 = e3 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (5636) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5637) op(e3, e3) = all_8_30 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (5636) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5638) op(e3, e1) = all_8_29 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (5636) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5639) op(e1, e3) = e3 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5567) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5640) all_6_22 = e4 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (504), (4988), (5640) are inconsistent by % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #35. % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5641) all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5570) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5642) all_6_17 = e4 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (5642) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5643) all_4_13 = e4 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5643) implies: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5644) all_4_13 = e4 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (5644) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5645) op(e4, e1) = all_8_31 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5646) all_10_1 = e0 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (5646) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5647) all_4_5 = e0 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (5647) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5648) op(e0, e3) = all_8_2 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (5647) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5649) op(e4, e3) = e0 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5574) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5650) all_6_9 = e4 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (5586), (5650) are inconsistent by % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #9. % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5651) ~ (all_6_9 = e4) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5652) all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e0 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5652) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5653) all_6_9 = e2 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (2074), (5653) are inconsistent by % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #121. % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5654) ~ (all_6_9 = e2) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5655) all_6_9 = e3 | all_6_9 = e0 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5626) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5656) all_10_4 = e2 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (413), (5631), (5656) are inconsistent by % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36. % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5657) all_10_9 = e2 | all_10_16 = e2 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5657) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5658) all_10_9 = e2 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (5658) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5659) all_4_15 = e2 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (556), (5659) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5660) op(e2, e1) = all_8_6 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (5659) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5661) op(e4, e1) = e2 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5662) all_6_23 = e1 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (5662) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5663) all_4_19 = e1 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5596), (5663) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5664) $false % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5664) is inconsistent. % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5665) ~ (all_6_23 = e1) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5666) all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e2 | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_23 = e0 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5641) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5667) all_6_22 = e2 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (5667) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5668) all_4_14 = e2 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (5668) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5669) all_8_67 = e2 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (5668) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5670) ~ (all_4_19 = e2) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5670) implies: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5671) ~ (all_4_19 = e2) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5655) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5672) all_6_9 = e3 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (5621), (5672) are inconsistent by % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #185. % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5673) all_6_9 = e0 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (5673) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5674) all_4_21 = e0 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5674) implies: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5675) all_4_21 = e0 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5586), (5675) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5676) ~ (e4 = e0) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2074), (5675) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5677) ~ (e2 = e0) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (5675) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5678) op(e0, e0) = all_8_17 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (5675) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5679) op(e3, e0) = e0 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5666) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5680) all_6_23 = e4 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (5680) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5681) all_4_19 = e4 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5584), (5681) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5682) $false % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5682) is inconsistent. % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5683) ~ (all_6_23 = e4) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5684) all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e0 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5684) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5685) all_6_23 = e2 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (5685) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5686) all_4_19 = e2 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5671), (5686) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5687) $false % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5687) is inconsistent. % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5688) ~ (all_6_23 = e2) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5689) all_6_23 = e3 | all_6_23 = e0 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5689) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5690) all_6_23 = e3 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (5690) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5691) all_4_19 = e3 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5584), (5691) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5692) ~ (e4 = e3) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (5691) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5693) op(e3, e1) = all_8_43 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (5691) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5694) op(e3, e0) = all_8_42 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_17, % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (4990), (5678) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5695) all_8_17 = e4 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_2, % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (5633), (5648) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5696) all_8_2 = e1 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_24, % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e1, simplifying with (21), (5597) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5697) all_8_24 = e0 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_39, % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (5632), (5639) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5698) all_8_39 = e3 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_6, % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (5598), (5660) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5699) all_8_6 = e1 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_42, % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_8, e0, e3, simplifying with (5622), (5694) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5700) all_8_8 = all_8_42 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_8, % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e3, simplifying with (5622), (5679) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5701) all_8_8 = e0 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_43, % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_29, e1, e3, simplifying with (5638), (5693) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5702) all_8_29 = all_8_43 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_29, % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e3, simplifying with (5590), (5638) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5703) all_8_29 = e4 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_30, % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12, e3, e3, simplifying with (5561), (5637) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5704) all_8_12 = all_8_30 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_12, % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (5561), (5562) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5705) all_8_12 = e2 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_31, % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_15, e1, e4, simplifying with (5589), (5645) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5706) all_8_15 = all_8_31 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_15, % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e4, simplifying with (5589), (5661) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5707) all_8_15 = e2 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_21, % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_14, e3, e4, simplifying with (5588), (5613) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5708) all_8_14 = all_8_21 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_14, % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (5588), (5649) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5709) all_8_14 = e0 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5700), (5701) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5710) all_8_42 = e0 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5704), (5705) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5711) all_8_30 = e2 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5711) implies: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5712) all_8_30 = e2 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5708), (5709) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5713) all_8_21 = e0 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5713) implies: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5714) all_8_21 = e0 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5706), (5707) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5715) all_8_31 = e2 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5715) implies: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5716) all_8_31 = e2 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5702), (5703) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5717) all_8_43 = e4 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5718) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) | (all_8_13 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5718) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5719) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5719) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5720) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5720) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5721) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (5696), (5721) are inconsistent by sub-proof % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #216. % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5722) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5722) implies: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5723) ~ (all_8_3 = e2) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5032), (5723) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5724) $false % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5724) is inconsistent. % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5725) (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_8 = e4 & ~ (all_8_7 = e0) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_48 = all_8_65)) | (all_8_10 = e3 & % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5725) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5726) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (5699), (5726) are inconsistent by sub-proof % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #59. % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5727) (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5727) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5728) all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5728) implies: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5729) all_8_8 = e4 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5701), (5729) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5730) e4 = e0 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5730) implies: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5731) e4 = e0 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (5731) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5732) $false % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5732) is inconsistent. % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5733) all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (5044), (5733) are inconsistent by sub-proof % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #150. % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5734) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5734) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5735) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5735) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5736) all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5736) implies: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5737) ~ (all_8_12 = e2) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5705), (5737) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5738) $false % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5738) is inconsistent. % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5739) all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (17), (5707), (5739) are inconsistent by sub-proof % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #21. % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5740) (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5740) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5741) all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5741) implies: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5742) all_8_17 = e3 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5695), (5742) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5743) e4 = e3 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (5743) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5744) $false % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5744) is inconsistent. % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5745) (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_51 = all_8_56)) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5745) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5746) all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4998), (5631), (5746) are inconsistent by % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #147. % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5747) all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5038), (5714), (5747) are inconsistent by % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #8. % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5748) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) | (all_8_35 = e1 & ~ (all_8_34 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_63 = all_8_68)) | (all_8_37 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_39 = e0 & ~ (all_8_38 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_53 = all_8_66)) | (all_8_41 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5748) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5749) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5749) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5750) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2060), (5038), (5669), (5697), (5750) are % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #7. % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5751) (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5751) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5752) all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (5046), (5752) are inconsistent by sub-proof % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #208. % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5753) (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61)) | (all_8_32 = e1 & ~ (all_8_31 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_57 = all_8_62)) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5753) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5754) all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5631), (5712), (5754) are inconsistent by % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #207. % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5755) all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5755) implies: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5756) ~ (all_8_31 = e2) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5716), (5756) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5757) $false % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5757) is inconsistent. % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5758) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) | (all_8_39 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5758) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5759) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5759) gives: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5760) all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5760) implies: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5761) ~ (all_8_34 = e0) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (618), (5761) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5762) $false % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5762) is inconsistent. % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5763) all_8_37 = e0 & ~ (all_8_36 = e4) & ~ (all_8_48 % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_65) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5763) implies: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5764) ~ (all_8_36 = e4) % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5042), (5764) imply: % 71.85/11.50 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5765) $false % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5765) is inconsistent. % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5766) (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5766) gives: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5767) all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (5698), (5767) are inconsistent by sub-proof % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #17. % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5768) (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5768) gives: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5769) all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67) % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (5769) implies: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5770) ~ (all_8_58 = all_8_67) % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2060), (5669), (5770) imply: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5771) $false % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5771) is inconsistent. % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5772) all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68) % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (5717), (5772) are inconsistent by sub-proof % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #206. % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5773) all_6_23 = e0 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (5773) imply: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5774) all_4_19 = e0 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (548), (5774) imply: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5775) $false % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5775) is inconsistent. % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5776) all_6_22 = e3 | all_6_22 = e0 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (504), (4986), (5558), (5776) are inconsistent by % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #101. % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5777) all_10_16 = e2 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5618), (5777) imply: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5778) e3 = e2 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (5778) imply: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5779) $false % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5779) is inconsistent. % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5780) all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e0 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (354), (369), (384), (534), (2066), (4984), % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5038), (5547), (5780) are inconsistent by % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #6. % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5781) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (543), (5037), (5556), (5781) are % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #97. % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5782) ~ (all_10_13 = e3) % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (369), (5782) imply: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5783) ~ (all_4_8 = e3) % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5784) all_6_16 = e1 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (602), (5784) are inconsistent by sub-proof % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #242. % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5785) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5570) gives: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5786) all_6_17 = e4 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (5786) imply: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5787) all_4_13 = e4 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5787) implies: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5788) all_4_13 = e4 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (5788) imply: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5789) ~ (all_4_8 = e4) % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (101), (494), (496), (521), (532), (534), (5029), % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5783), (5785), (5789) are inconsistent by % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #39. % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5790) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (543), (5037), (5556), (5790) are % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #97. % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5791) all_10_22 = e1 | all_10_23 = e1 | all_10_24 = e1 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5791) gives: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5792) all_10_22 = e1 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (540), (5792) are inconsistent by sub-proof % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #37. % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5793) all_10_23 = e1 | all_10_24 = e1 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5793) gives: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5794) all_10_23 = e1 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (515), (5596), (5794) are inconsistent by % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #69. % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5795) all_10_24 = e1 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4979), (5795) imply: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5796) e4 = e1 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5796) implies: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5797) e4 = e1 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (5797) imply: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5798) $false % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5798) is inconsistent. % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5799) ~ (all_10_16 = e3) % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (5799) imply: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5800) ~ (all_4_20 = e3) % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5801) all_6_4 = e1 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (604), (5801) are inconsistent by sub-proof % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #84. % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5802) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_4 = e0 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5803) all_10_1 = e0 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (5803) imply: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5804) all_4_5 = e0 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (5804) imply: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5805) ~ (all_4_20 = e0) % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5805) implies: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5806) ~ (all_4_20 = e0) % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (2073), (5020), (5800), (5802), (5806) are % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #11. % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5807) all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e0 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (354), (369), (384), (534), (2066), (4984), % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5038), (5547), (5807) are inconsistent by % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #6. % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (5808) ~ (all_10_7 = e4) % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (5808) imply: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (5809) ~ (all_4_7 = e4) % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (185), (489), (525), (2066), (2067), (5594), % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | (5809) are inconsistent by sub-proof #5. % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | (5810) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | all_6_13 = e0 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (529), (546), (2072), (5582), (5810) are % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #90. % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | (5811) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0 % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (483), (545), (5553), (5560), (5811) are % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #199. % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | (5812) all_6_15 = e3 | all_6_15 = e0 % 71.85/11.51 | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | REF_CLOSE: (494), (521), (532), (5812) are inconsistent by % 71.85/11.51 | | | | | | | | | | | | | | | sub-proof #229. % 71.85/11.51 | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | (5813) all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0 % 71.85/11.51 | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | REF_CLOSE: (479), (517), (612), (4981), (5813) are % 71.85/11.51 | | | | | | | | | | | | inconsistent by sub-proof #228. % 71.85/11.51 | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | % 71.85/11.51 | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | (5814) all_10_6 = e1 | all_10_12 = e1 | all_10_20 = e1 % 71.85/11.51 | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | BETA: splitting (5814) gives: % 71.85/11.51 | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | Case 1: % 71.85/11.51 | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | (5815) all_10_6 = e1 % 71.85/11.51 | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | REF_CLOSE: (16), (388), (5815) are inconsistent by sub-proof % 71.85/11.51 | | | | | | | | | | | #245. % 71.85/11.51 | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | (5816) all_10_12 = e1 | all_10_20 = e1 % 71.85/11.51 | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | REF_CLOSE: (372), (601), (609), (4980), (5816) are % 71.85/11.51 | | | | | | | | | | | inconsistent by sub-proof #47. % 71.85/11.51 | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | | % 71.85/11.51 | | | | | | | | | End of split % 71.85/11.51 | | | | | | | | | % 71.85/11.51 | | | | | | | | End of split % 71.85/11.51 | | | | | | | | % 71.85/11.51 | | | | | | | End of split % 71.85/11.51 | | | | | | | % 71.85/11.51 | | | | | | End of split % 71.85/11.51 | | | | | | % 71.85/11.51 | | | | | Case 2: % 71.85/11.51 | | | | | | % 71.85/11.51 | | | | | | (5817) all_8_54 = e1 % 71.85/11.51 | | | | | | (5818) all_8_52 = e3 % 71.85/11.51 | | | | | | % 71.85/11.51 | | | | | | COMBINE_EQS: (441), (5818) imply: % 71.85/11.51 | | | | | | (5819) all_4_16 = e3 % 71.85/11.51 | | | | | | % 71.85/11.51 | | | | | | SIMP: (5819) implies: % 71.85/11.51 | | | | | | (5820) all_4_16 = e3 % 71.85/11.51 | | | | | | % 71.85/11.51 | | | | | | COMBINE_EQS: (426), (5817) imply: % 71.85/11.51 | | | | | | (5821) all_4_6 = e1 % 71.85/11.51 | | | | | | % 71.85/11.51 | | | | | | COMBINE_EQS: (400), (5821) imply: % 71.85/11.51 | | | | | | (5822) all_10_3 = e1 % 71.85/11.51 | | | | | | % 71.85/11.51 | | | | | | REDUCE: (112), (5821) imply: % 71.85/11.51 | | | | | | (5823) ~ (all_4_1 = e1) % 71.85/11.51 | | | | | | % 71.85/11.51 | | | | | | REDUCE: (86), (5821) imply: % 71.85/11.51 | | | | | | (5824) ~ (all_4_7 = e1) % 71.85/11.51 | | | | | | % 71.85/11.51 | | | | | | SIMP: (5824) implies: % 71.85/11.51 | | | | | | (5825) ~ (all_4_7 = e1) % 71.85/11.51 | | | | | | % 71.85/11.51 | | | | | | REDUCE: (85), (5821) imply: % 71.85/11.51 | | | | | | (5826) ~ (all_4_8 = e1) % 71.85/11.51 | | | | | | % 71.85/11.51 | | | | | | REDUCE: (82), (5820), (5821) imply: % 71.85/11.51 | | | | | | (5827) ~ (e3 = e1) % 71.85/11.51 | | | | | | % 71.85/11.51 | | | | | | REDUCE: (81), (5821) imply: % 71.85/11.51 | | | | | | (5828) ~ (all_4_21 = e1) % 71.85/11.51 | | | | | | % 71.85/11.51 | | | | | | REDUCE: (61), (5820) imply: % 71.85/11.51 | | | | | | (5829) ~ (all_4_11 = e3) % 71.85/11.51 | | | | | | % 71.85/11.51 | | | | | | REDUCE: (50), (5820) imply: % 71.85/11.51 | | | | | | (5830) ~ (all_4_15 = e3) % 71.85/11.51 | | | | | | % 71.85/11.51 | | | | | | REDUCE: (43), (5820) imply: % 71.85/11.51 | | | | | | (5831) ~ (all_4_19 = e3) % 71.85/11.51 | | | | | | % 71.85/11.51 | | | | | | SIMP: (5831) implies: % 71.85/11.51 | | | | | | (5832) ~ (all_4_19 = e3) % 71.85/11.51 | | | | | | % 71.85/11.51 | | | | | | REDUCE: (42), (5820) imply: % 71.85/11.51 | | | | | | (5833) ~ (all_4_21 = e3) % 71.85/11.51 | | | | | | % 71.85/11.51 | | | | | | SIMP: (5833) implies: % 71.85/11.51 | | | | | | (5834) ~ (all_4_21 = e3) % 71.85/11.51 | | | | | | % 71.85/11.51 | | | | | | REDUCE: (564), (5820) imply: % 71.85/11.51 | | | | | | (5835) op(e3, e3) = all_8_14 % 71.85/11.51 | | | | | | % 71.85/11.51 | | | | | | REDUCE: (142), (5821) imply: % 71.85/11.51 | | | | | | (5836) op(e3, e3) = e1 % 71.85/11.51 | | | | | | % 71.85/11.51 | | | | | | BETA: splitting (320) gives: % 71.85/11.51 | | | | | | % 71.85/11.51 | | | | | | Case 1: % 71.85/11.51 | | | | | | | % 71.85/11.51 | | | | | | | (5837) all_10_6 = e1 % 71.85/11.51 | | | | | | | % 71.85/11.51 | | | | | | | REF_CLOSE: (16), (388), (5837) are inconsistent by sub-proof #245. % 71.85/11.51 | | | | | | | % 71.85/11.51 | | | | | | Case 2: % 71.85/11.51 | | | | | | | % 71.85/11.51 | | | | | | | (5838) ~ (all_10_6 = e1) % 71.85/11.51 | | | | | | | (5839) all_10_7 = e1 | all_10_8 = e1 | all_10_11 = e1 | % 71.85/11.51 | | | | | | | all_10_18 = e1 % 71.85/11.51 | | | | | | | % 71.85/11.51 | | | | | | | BETA: splitting (338) gives: % 71.85/11.51 | | | | | | | % 71.85/11.51 | | | | | | | Case 1: % 71.85/11.51 | | | | | | | | % 71.85/11.51 | | | | | | | | (5840) all_10_0 = e1 % 71.85/11.51 | | | | | | | | % 71.85/11.51 | | | | | | | | COMBINE_EQS: (419), (5840) imply: % 71.85/11.51 | | | | | | | | (5841) all_4_0 = e1 % 71.85/11.51 | | | | | | | | % 71.85/11.51 | | | | | | | | REDUCE: (518), (5841) imply: % 71.85/11.51 | | | | | | | | (5842) $false % 71.85/11.51 | | | | | | | | % 71.85/11.51 | | | | | | | | CLOSE: (5842) is inconsistent. % 71.85/11.51 | | | | | | | | % 71.85/11.51 | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | % 71.85/11.51 | | | | | | | | (5843) all_10_2 = e1 | all_10_6 = e1 | all_10_12 = e1 | % 71.85/11.51 | | | | | | | | all_10_20 = e1 % 71.85/11.51 | | | | | | | | % 71.85/11.51 | | | | | | | | BETA: splitting (5843) gives: % 71.85/11.51 | | | | | | | | % 71.85/11.51 | | | | | | | | Case 1: % 71.85/11.51 | | | | | | | | | % 71.85/11.51 | | | | | | | | | (5844) all_10_2 = e1 % 71.85/11.51 | | | | | | | | | % 71.85/11.51 | | | | | | | | | REF_CLOSE: (403), (5823), (5844) are inconsistent by sub-proof % 71.85/11.51 | | | | | | | | | #249. % 71.85/11.51 | | | | | | | | | % 71.85/11.51 | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | % 71.85/11.51 | | | | | | | | | (5845) all_10_6 = e1 | all_10_12 = e1 | all_10_20 = e1 % 71.85/11.51 | | | | | | | | | % 71.85/11.51 | | | | | | | | | BETA: splitting (5845) gives: % 71.85/11.51 | | | | | | | | | % 71.85/11.51 | | | | | | | | | Case 1: % 71.85/11.51 | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | (5846) all_10_6 = e1 % 71.85/11.51 | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | REF_CLOSE: (16), (388), (5846) are inconsistent by sub-proof % 71.85/11.51 | | | | | | | | | | #245. % 71.85/11.51 | | | | | | | | | | % 71.85/11.51 | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | (5847) all_10_12 = e1 | all_10_20 = e1 % 71.85/11.51 | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | BETA: splitting (5847) gives: % 71.85/11.51 | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | Case 1: % 71.85/11.51 | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | (5848) all_10_12 = e1 % 71.85/11.51 | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | REF_CLOSE: (372), (601), (5848) are inconsistent by sub-proof % 71.85/11.51 | | | | | | | | | | | #94. % 71.85/11.51 | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | (5849) all_10_20 = e1 % 71.85/11.51 | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | COMBINE_EQS: (357), (5849) imply: % 71.85/11.51 | | | | | | | | | | | (5850) all_4_4 = e1 % 71.85/11.51 | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | SIMP: (5850) implies: % 71.85/11.51 | | | | | | | | | | | (5851) all_4_4 = e1 % 71.85/11.51 | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | REDUCE: (97), (5851) imply: % 71.85/11.51 | | | | | | | | | | | (5852) ~ (all_4_9 = e1) % 71.85/11.51 | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | SIMP: (5852) implies: % 71.85/11.51 | | | | | | | | | | | (5853) ~ (all_4_9 = e1) % 71.85/11.51 | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | REDUCE: (586), (5851) imply: % 71.85/11.51 | | | | | | | | | | | (5854) op(e1, e4) = all_8_37 % 71.85/11.51 | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | REDUCE: (128), (5851) imply: % 71.85/11.51 | | | | | | | | | | | (5855) op(e0, e4) = e1 % 71.85/11.51 | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | BETA: splitting (5839) gives: % 71.85/11.51 | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | Case 1: % 71.85/11.51 | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | (5856) all_10_7 = e1 % 71.85/11.51 | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | COMBINE_EQS: (384), (5856) imply: % 71.85/11.51 | | | | | | | | | | | | (5857) all_4_7 = e1 % 71.85/11.51 | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | REDUCE: (5825), (5857) imply: % 71.85/11.51 | | | | | | | | | | | | (5858) $false % 71.85/11.51 | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | CLOSE: (5858) is inconsistent. % 71.85/11.51 | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | (5859) all_10_8 = e1 | all_10_11 = e1 | all_10_18 = e1 % 71.85/11.51 | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | BETA: splitting (5859) gives: % 71.85/11.51 | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | Case 1: % 71.85/11.51 | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | (5860) all_10_8 = e1 % 71.85/11.51 | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | COMBINE_EQS: (381), (5860) imply: % 71.85/11.51 | | | | | | | | | | | | | (5861) all_4_12 = e1 % 71.85/11.51 | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | REDUCE: (538), (5861) imply: % 71.85/11.51 | | | | | | | | | | | | | (5862) $false % 71.85/11.51 | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | CLOSE: (5862) is inconsistent. % 71.85/11.51 | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | (5863) all_10_11 = e1 | all_10_18 = e1 % 71.85/11.51 | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | BETA: splitting (5863) gives: % 71.85/11.51 | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | Case 1: % 71.85/11.51 | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | (5864) all_10_11 = e1 % 71.85/11.51 | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | COMBINE_EQS: (378), (5864) imply: % 71.85/11.51 | | | | | | | | | | | | | | (5865) all_4_17 = e1 % 71.85/11.51 | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | SIMP: (5865) implies: % 71.85/11.51 | | | | | | | | | | | | | | (5866) all_4_17 = e1 % 71.85/11.51 | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | REDUCE: (40), (5866) imply: % 71.85/11.51 | | | | | | | | | | | | | | (5867) ~ (all_4_19 = e1) % 71.85/11.51 | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | SIMP: (5867) implies: % 71.85/11.51 | | | | | | | | | | | | | | (5868) ~ (all_4_19 = e1) % 71.85/11.51 | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | REDUCE: (39), (5866) imply: % 71.85/11.51 | | | | | | | | | | | | | | (5869) ~ (all_4_22 = e1) % 71.85/11.51 | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | REDUCE: (574), (5866) imply: % 71.85/11.51 | | | | | | | | | | | | | | (5870) op(e1, e1) = all_8_24 % 71.85/11.51 | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | REDUCE: (135), (5866) imply: % 71.85/11.51 | | | | | | | | | | | | | | (5871) op(e2, e1) = e1 % 71.85/11.51 | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_24, % 71.85/11.51 | | | | | | | | | | | | | | e1, e1, simplifying with (21), (5870) gives: % 71.85/11.51 | | | | | | | | | | | | | | (5872) all_8_24 = e0 % 71.85/11.51 | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_3, % 71.85/11.51 | | | | | | | | | | | | | | all_8_37, e4, e1, simplifying with (133), (5854) % 71.85/11.51 | | | | | | | | | | | | | | gives: % 71.85/11.51 | | | | | | | | | | | | | | (5873) all_8_37 = all_4_3 % 71.85/11.51 | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_14, % 71.85/11.51 | | | | | | | | | | | | | | e3, e3, simplifying with (5835), (5836) gives: % 71.85/11.51 | | | | | | | | | | | | | | (5874) all_8_14 = e1 % 71.85/11.51 | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | BETA: splitting (276) gives: % 71.85/11.51 | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | Case 1: % 71.85/11.51 | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | (5875) ~ (all_8_49 = e0) % 71.85/11.51 | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | REDUCE: (421), (5875) imply: % 71.85/11.51 | | | | | | | | | | | | | | | (5876) ~ (all_4_0 = e0) % 71.85/11.51 | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | BETA: splitting (194) gives: % 71.85/11.51 | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | Case 1: % 71.85/11.51 | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | (5877) all_6_0 = e1 % 71.85/11.51 | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | REF_CLOSE: (479), (518), (5877) are inconsistent by sub-proof % 71.85/11.51 | | | | | | | | | | | | | | | | #268. % 71.85/11.51 | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | Case 2: % 71.85/11.51 | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | (5878) all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | % 71.85/11.51 | | | | | | | | | | | | | | | | all_6_0 = e0 % 71.85/11.51 | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | BETA: splitting (5878) gives: % 71.85/11.51 | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | Case 1: % 71.85/11.51 | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | (5879) all_6_0 = e4 % 71.85/11.51 | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (5879) imply: % 71.85/11.51 | | | | | | | | | | | | | | | | | (5880) all_4_0 = e4 % 71.85/11.51 | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | SIMP: (5880) implies: % 71.85/11.51 | | | | | | | | | | | | | | | | | (5881) all_4_0 = e4 % 71.85/11.51 | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | COMBINE_EQS: (419), (5881) imply: % 71.85/11.51 | | | | | | | | | | | | | | | | | (5882) all_10_0 = e4 % 71.85/11.51 | | | | | | | | | | | | | | | | | % 71.85/11.51 | | | | | | | | | | | | | | | | | REDUCE: (123), (5881) imply: % 71.85/11.52 | | | | | | | | | | | | | | | | | (5883) ~ (all_4_1 = e4) % 71.85/11.52 | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | SIMP: (5883) implies: % 71.85/11.52 | | | | | | | | | | | | | | | | | (5884) ~ (all_4_1 = e4) % 71.85/11.52 | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | REDUCE: (121), (5881) imply: % 71.85/11.52 | | | | | | | | | | | | | | | | | (5885) ~ (all_4_3 = e4) % 71.85/11.52 | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | SIMP: (5885) implies: % 71.85/11.52 | | | | | | | | | | | | | | | | | (5886) ~ (all_4_3 = e4) % 71.85/11.52 | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | REDUCE: (119), (5881) imply: % 71.85/11.52 | | | | | | | | | | | | | | | | | (5887) ~ (all_4_5 = e4) % 71.85/11.52 | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | SIMP: (5887) implies: % 71.85/11.52 | | | | | | | | | | | | | | | | | (5888) ~ (all_4_5 = e4) % 71.85/11.52 | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | REDUCE: (117), (5881) imply: % 71.85/11.52 | | | | | | | | | | | | | | | | | (5889) ~ (all_4_15 = e4) % 71.85/11.52 | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | SIMP: (5889) implies: % 71.85/11.52 | | | | | | | | | | | | | | | | | (5890) ~ (all_4_15 = e4) % 71.85/11.52 | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | REDUCE: (116), (5881) imply: % 71.85/11.52 | | | | | | | | | | | | | | | | | (5891) ~ (all_4_20 = e4) % 71.85/11.52 | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | SIMP: (5891) implies: % 71.85/11.52 | | | | | | | | | | | | | | | | | (5892) ~ (all_4_20 = e4) % 71.85/11.52 | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | BETA: splitting (336) gives: % 71.85/11.52 | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.52 | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | (5893) all_10_0 = e0 % 71.85/11.52 | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5882), (5893) imply: % 71.85/11.52 | | | | | | | | | | | | | | | | | | (5894) e4 = e0 % 71.85/11.52 | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | REDUCE: (18), (5894) imply: % 71.85/11.52 | | | | | | | | | | | | | | | | | | (5895) $false % 71.85/11.52 | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | CLOSE: (5895) is inconsistent. % 71.85/11.52 | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.52 | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | (5896) all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 | % 71.85/11.52 | | | | | | | | | | | | | | | | | | all_10_20 = e0 % 71.85/11.52 | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives: % 71.85/11.52 | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.52 | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | (5897) all_6_15 = e1 % 71.85/11.52 | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (601), (5897) are inconsistent by sub-proof % 71.85/11.52 | | | | | | | | | | | | | | | | | | | #267. % 71.85/11.52 | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.52 | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | (5898) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | all_6_15 = e0 % 71.85/11.52 | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | BETA: splitting (5898) gives: % 71.85/11.52 | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | (5899) all_6_15 = e4 % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (5886), (5899) are inconsistent by % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | sub-proof #266. % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | (5900) all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0 % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | BETA: splitting (192) gives: % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | (5901) all_6_3 = e1 % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (5901) imply: % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | (5902) all_4_15 = e1 % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | REDUCE: (542), (5902) imply: % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | (5903) $false % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | CLOSE: (5903) is inconsistent. % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | Case 2: % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | (5904) ~ (all_6_3 = e1) % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | (5905) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | all_6_3 = e0 % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5900) gives: % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | (5906) all_6_15 = e2 % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (5906) imply: % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | (5907) all_4_3 = e2 % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5907) implies: % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | (5908) all_4_3 = e2 % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5873), (5908) imply: % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | (5909) all_8_37 = e2 % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (5908) imply: % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | (5910) all_8_3 = e2 % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (372), (5908) imply: % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | (5911) all_10_12 = e2 % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (5908) imply: % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | (5912) ~ (all_4_1 = e2) % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (5908) imply: % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | (5913) ~ (all_4_8 = e2) % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | SIMP: (5913) implies: % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | (5914) ~ (all_4_8 = e2) % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (5908) imply: % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | (5915) op(e2, e4) = all_8_28 % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (190) gives: % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 71.85/11.52 | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | (5916) all_6_5 = e1 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (480), (5823), (5916) are inconsistent by % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #250. % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | (5917) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | all_6_5 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5896) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | (5918) all_10_2 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (5918) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | (5919) all_4_1 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5919) implies: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | (5920) all_4_1 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (622), (5920) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | (5921) all_8_19 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (5920) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | (5922) ~ (all_4_11 = e0) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5922) implies: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | (5923) ~ (all_4_11 = e0) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (5920) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | (5924) ~ (all_4_21 = e0) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5924) implies: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | (5925) ~ (all_4_21 = e0) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (5920) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | (5926) op(e0, e4) = all_8_10 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (5920) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | (5927) op(e0, e3) = all_8_9 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (5920) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | (5928) op(e3, e4) = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5905) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | (5929) all_6_3 = e4 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (5890), (5929) are inconsistent by % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #218. % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | (5930) ~ (all_6_3 = e4) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | (5931) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5931) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (5932) all_6_3 = e2 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (5932) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (5933) all_4_15 = e2 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5933) implies: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (5934) all_4_15 = e2 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (409), (5934) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (5935) all_10_9 = e2 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (88), (5934) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (5936) ~ (all_4_5 = e2) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (5934) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (5937) ~ (all_4_20 = e2) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5937) implies: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (5938) ~ (all_4_20 = e2) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (542), (5934) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (5939) ~ (e2 = e1) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (5934) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (5940) ~ (e2 = e0) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (5934) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (5941) op(e2, e4) = all_8_5 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (556), (5934) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (5942) op(e2, e1) = all_8_6 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (5934) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | (5943) op(e4, e1) = e2 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5944) all_6_23 = e1 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (5868), (5944) are inconsistent by % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #55. % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | (5945) all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e2 | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_23 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5945) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5946) all_6_23 = e4 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (5946) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5947) all_4_19 = e4 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5947) implies: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5948) all_4_19 = e4 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (70), (5948) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5949) ~ (all_4_9 = e4) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (5948) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5950) ~ (all_4_14 = e4) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (5948) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5951) ~ (all_4_24 = e4) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5951) implies: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5952) ~ (all_4_24 = e4) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (5948) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5953) op(e4, e1) = all_8_43 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9, % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_9, e3, e0, simplifying with (127), (5927) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5954) all_8_9 = all_4_9 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_10, % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e0, simplifying with (5855), (5926) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5955) all_8_10 = e1 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_6, % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (5871), (5942) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5956) all_8_6 = e1 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_5, % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e2, simplifying with (22), (5941) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5957) all_8_5 = e3 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_28, % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_5, e4, e2, simplifying with (5915), (5941) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5958) all_8_5 = all_8_28 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_43, % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e4, simplifying with (5943), (5953) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5959) all_8_43 = e2 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5957), (5958) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5960) all_8_28 = e3 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (266) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5961) ~ (all_8_69 = e2) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (5961) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5962) ~ (all_4_24 = e2) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5963) ~ (all_8_69 = e3) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (5963) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5964) ~ (all_4_24 = e3) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5965) all_10_16 = e3 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (5965) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5966) all_4_20 = e3 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (5966) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5967) ~ (all_4_24 = e3) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (557), (5966) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5968) op(e3, e4) = all_8_7 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5969) all_6_24 = e1 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (608), (5969) are inconsistent by sub-proof % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #226. % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5970) ~ (all_6_24 = e1) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5971) all_6_24 = e4 | all_6_24 = e3 | all_6_24 = e2 | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_24 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5971) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5972) all_6_24 = e4 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (5952), (5972) are inconsistent by % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #225. % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5973) all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (337) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5974) all_10_0 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5882), (5974) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5975) e4 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (5975) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5976) $false % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (5976) is inconsistent. % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5977) all_10_1 = e0 | all_10_4 = e0 | all_10_9 = e0 | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5973) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5978) all_6_24 = e2 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (5962), (5978) are inconsistent by % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #222. % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5979) ~ (all_6_24 = e2) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5980) all_6_24 = e3 | all_6_24 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5980) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5981) all_6_24 = e3 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (5964), (5981) are inconsistent by % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #265. % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5982) all_6_24 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (5982) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5983) all_4_24 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5983) implies: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5984) all_4_24 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (5984) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5985) all_10_24 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (5984) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5986) ~ (all_4_14 = e0) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5964), (5984) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5987) ~ (e3 = e0) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5962), (5984) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5988) ~ (e2 = e0) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (608), (5984) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5989) ~ (e1 = e0) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5977) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5990) all_10_1 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (5990) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5991) all_4_5 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (5991) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5992) ~ (all_4_8 = e0) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (5991) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5993) ~ (all_4_9 = e0) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (5993) implies: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5994) ~ (all_4_9 = e0) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (5991) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5995) op(e0, e3) = all_8_2 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (147), (5991) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5996) op(e4, e3) = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5997) all_10_4 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (413), (609), (5847), (5849), (5911), (5939), % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5997) are inconsistent by sub-proof #4. % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5998) all_10_5 = e0 | all_10_8 = e0 | all_10_14 = e0 | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (5998) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5999) all_10_5 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (397), (5923), (5999) are inconsistent by % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #12. % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6000) all_10_8 = e0 | all_10_14 = e0 | all_10_22 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6000) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6001) all_10_8 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (381), (6001) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6002) all_4_12 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (437), (6002) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6003) all_8_59 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (6002) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6004) ~ (all_4_7 = e0) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (6002) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6005) ~ (all_4_13 = e0) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (6002) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6006) ~ (all_4_14 = e0) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (6002) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6007) ~ (all_4_22 = e0) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6007) implies: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6008) ~ (all_4_22 = e0) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (136), (6002) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6009) op(e2, e2) = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6010) ~ (all_8_59 = e0) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6003), (6010) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6011) $false % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6011) is inconsistent. % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6012) all_8_58 = e2 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (6012) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6013) all_4_22 = e2 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6013) implies: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6014) all_4_22 = e2 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (6014) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6015) all_10_18 = e2 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (6014) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6016) ~ (all_4_7 = e2) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (6014) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6017) op(e2, e2) = all_8_25 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (329) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6018) all_10_2 = e2 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5918), (6018) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6019) e2 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5940), (6019) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6020) $false % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6020) is inconsistent. % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6021) all_10_3 = e2 | all_10_5 = e2 | all_10_10 = e2 | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_17 = e2 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6022) all_6_9 = e1 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (6022) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6023) all_4_21 = e1 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (605), (6023) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6024) $false % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6024) is inconsistent. % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6025) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_9 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6021) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6026) all_10_3 = e2 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5822), (6026) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6027) e2 = e1 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6027) implies: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6028) e2 = e1 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5939), (6028) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6029) $false % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6029) is inconsistent. % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6030) all_10_5 = e2 | all_10_10 = e2 | all_10_17 = e2 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6030) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6031) all_10_5 = e2 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (6031) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6032) all_4_11 = e2 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6032) implies: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6033) all_4_11 = e2 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (6033) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6034) ~ (all_4_13 = e2) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6034) implies: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6035) ~ (all_4_13 = e2) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (6033) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6036) ~ (all_4_21 = e2) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6036) implies: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6037) ~ (all_4_21 = e2) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (6033) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6038) op(e2, e3) = all_8_12 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (6033) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6039) op(e2, e2) = all_8_13 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (6033) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6040) op(e3, e2) = e2 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6025) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6041) all_6_9 = e4 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (6041) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6042) all_4_21 = e4 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6042) implies: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6043) all_4_21 = e4 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (6043) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6044) op(e4, e3) = all_8_16 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6045) all_6_22 = e1 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (504), (540), (6045) are inconsistent by sub-proof % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #113. % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6046) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_22 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6047) all_6_11 = e1 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (5825), (6047) are inconsistent by % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #91. % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6048) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_11 = e0 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6048) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6049) all_6_11 = e4 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (6049) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6050) all_4_7 = e4 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6050) implies: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6051) all_4_7 = e4 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (6051) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6052) all_10_7 = e4 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (6051) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6053) ~ (all_4_8 = e4) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6053) implies: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6054) ~ (all_4_8 = e4) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (6051) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6055) ~ (all_4_9 = e4) % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (571), (6051) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6056) op(e4, e3) = all_8_21 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (6051) imply: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6057) op(e2, e3) = e4 % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.52 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6058) all_6_16 = e1 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (6058) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6059) all_4_8 = e1 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (6059) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6060) $false % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6060) is inconsistent. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6061) ~ (all_6_16 = e1) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6062) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6063) all_10_20 = e2 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5849), (5939), (6063) are inconsistent by % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #95. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6064) all_10_21 = e2 | all_10_22 = e2 | all_10_23 = e2 | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e2 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6064) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6065) all_10_21 = e2 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (6065) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6066) all_4_9 = e2 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (6066) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6067) ~ (all_4_14 = e2) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6067) implies: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6068) ~ (all_4_14 = e2) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (588), (6066) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6069) op(e2, e3) = all_8_39 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (127), (6066) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6070) op(e0, e3) = e2 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6071) all_10_1 = e3 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5990), (6071) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6072) e3 = e0 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6072) implies: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6073) e3 = e0 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (6073) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6074) $false % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6074) is inconsistent. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6075) all_10_3 = e3 | all_10_7 = e3 | all_10_13 = e3 | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_21 = e3 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6075) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6076) all_10_3 = e3 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5822), (6076) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6077) e3 = e1 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6077) implies: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6078) e3 = e1 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (6078) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6079) $false % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6079) is inconsistent. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6080) all_10_7 = e3 | all_10_13 = e3 | all_10_21 = e3 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6046) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6081) all_6_22 = e4 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (6081) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6082) all_4_14 = e4 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5950), (6082) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6083) $false % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6083) is inconsistent. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6084) all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6084) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6085) all_6_22 = e2 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (6085) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6086) all_4_14 = e2 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6068), (6086) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6087) $false % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6087) is inconsistent. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6088) ~ (all_6_22 = e2) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6089) all_6_22 = e3 | all_6_22 = e0 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6089) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6090) all_6_22 = e3 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (6090) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6091) all_4_14 = e3 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (6091) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6092) ~ (all_4_13 = e3) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (590), (6091) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6093) op(e3, e2) = all_8_41 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (179) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6094) all_6_17 = e1 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (6094) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6095) all_4_13 = e1 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (603), (6095) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6096) $false % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6096) is inconsistent. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6097) ~ (all_6_17 = e1) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6098) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_17 = e0 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6098) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6099) all_6_17 = e4 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (498), (6099) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6100) all_4_13 = e4 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6035), (6100) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6101) ~ (e4 = e2) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (583), (6100) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6102) op(e4, e1) = all_8_31 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6080) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6103) all_10_7 = e3 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6052), (6103) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6104) e4 = e3 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (6104) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6105) $false % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6105) is inconsistent. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6106) all_10_13 = e3 | all_10_21 = e3 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6106) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6107) all_10_13 = e3 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (369), (6107) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6108) all_4_8 = e3 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6108) implies: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6109) all_4_8 = e3 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (447), (6109) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6110) all_8_61 = e3 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_2, % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e0, simplifying with (5995), (6070) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6111) all_8_2 = e2 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_25, % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_13, e2, e2, simplifying with (6017), (6039) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6112) all_8_13 = all_8_25 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_13, % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e2, simplifying with (6009), (6039) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6113) all_8_13 = e0 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_39, % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12, e3, e2, simplifying with (6038), (6069) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6114) all_8_12 = all_8_39 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_12, % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (6038), (6057) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6115) all_8_12 = e4 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_41, % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (6040), (6093) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6116) all_8_41 = e2 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_7, % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e3, simplifying with (5928), (5968) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6117) all_8_7 = e0 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_31, % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e4, simplifying with (5943), (6102) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6118) all_8_31 = e2 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_21, % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16, e3, e4, simplifying with (6044), (6056) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6119) all_8_16 = all_8_21 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_16, % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (5996), (6044) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6120) all_8_16 = e0 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6114), (6115) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6121) all_8_39 = e4 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6112), (6113) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6122) all_8_25 = e0 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6122) implies: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6123) all_8_25 = e0 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6119), (6120) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6124) all_8_21 = e0 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6124) implies: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6125) all_8_21 = e0 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6126) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) | (all_8_13 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6126) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6127) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6127) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6128) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6128) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6129) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6101), (6111), (6129) are inconsistent by % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #112. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6130) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6130) implies: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6131) ~ (all_8_3 = e2) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5910), (6131) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6132) $false % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6132) is inconsistent. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6133) (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_8 = e4 & ~ (all_8_7 = e0) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_48 = all_8_65)) | (all_8_10 = e3 & % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6133) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6134) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (5956), (6134) are inconsistent by sub-proof % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #59. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6135) (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6135) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6136) all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6136) implies: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6137) ~ (all_8_7 = e0) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6117), (6137) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6138) $false % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6138) is inconsistent. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6139) all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (5955), (6139) are inconsistent by sub-proof % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #80. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6140) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6140) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6141) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6141) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6142) all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (6113), (6142) are inconsistent by sub-proof % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #111. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6143) all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6143) implies: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6144) ~ (all_8_52 = all_8_61) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5818), (6110), (6144) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6145) $false % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6145) is inconsistent. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6146) (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6146) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6147) all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6147) implies: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6148) ~ (all_8_16 = e0) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6120), (6148) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6149) $false % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6149) is inconsistent. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6150) (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_51 = all_8_56)) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6150) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6151) all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5921), (5940), (6151) are inconsistent by % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #79. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6152) all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5940), (6125), (6152) are inconsistent by % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #8. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6153) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) | (all_8_35 = e1 & ~ (all_8_34 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_63 = all_8_68)) | (all_8_37 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_39 = e0 & ~ (all_8_38 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_53 = all_8_66)) | (all_8_41 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6153) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6154) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6154) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6155) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5872), (5940), (6123), (6155) are inconsistent by % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #19. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6156) (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6156) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6157) all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (5960), (6157) are inconsistent by sub-proof % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #208. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6158) (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61)) | (all_8_32 = e1 & ~ (all_8_31 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_57 = all_8_62)) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6158) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6159) all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6159) implies: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6160) ~ (all_8_52 = all_8_61) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5818), (6110), (6160) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6161) $false % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6161) is inconsistent. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6162) all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6162) implies: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6163) ~ (all_8_31 = e2) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6118), (6163) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6164) $false % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6164) is inconsistent. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6165) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) | (all_8_39 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6165) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6166) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (618), (5909), (5940), (6166) are inconsistent by % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #125. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6167) (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6167) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6168) all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6168) implies: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6169) all_8_39 = e0 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6121), (6169) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6170) e4 = e0 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6170) implies: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6171) e4 = e0 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (6171) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6172) $false % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6172) is inconsistent. % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6173) (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6173) gives: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6174) all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67) % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6174) implies: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6175) all_8_41 = e0 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6116), (6175) imply: % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6176) e2 = e0 % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.53 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6176) implies: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6177) e2 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5940), (6177) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6178) $false % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6178) is inconsistent. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6179) all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5940), (5959), (6179) are inconsistent by % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6180) all_10_21 = e3 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6065), (6180) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6181) e3 = e2 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6181) implies: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6182) e3 = e2 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (17), (6182) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6183) $false % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6183) is inconsistent. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6184) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (498), (543), (6035), (6092), (6184) are % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #97. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6185) all_6_22 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (504), (6185) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6186) all_4_14 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5986), (6186) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6187) $false % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6187) is inconsistent. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6188) ~ (all_10_21 = e2) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (354), (6188) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6189) ~ (all_4_9 = e2) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6190) all_6_21 = e1 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (6190) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6191) all_4_9 = e1 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5853), (6191) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6192) $false % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6192) is inconsistent. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6193) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_21 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (75), (496), (503), (534), (5914), (5949), (5994), % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6054), (6062), (6189), (6193) are inconsistent by % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #29. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6194) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (525), (6004), (6016), (6194) are % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #169. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6195) all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (5834), (5925), (6037), (6195) are % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #120. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6196) ~ (all_10_5 = e2) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (397), (6196) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6197) ~ (all_4_11 = e2) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6198) all_6_7 = e1 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (6198) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6199) all_4_11 = e1 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (6199) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6200) $false % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6200) is inconsistent. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6201) ~ (all_6_7 = e1) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6202) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_7 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6202) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6203) all_6_7 = e4 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (6203) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6204) all_4_11 = e4 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (6204) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6205) ~ (all_4_21 = e4) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6205) implies: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6206) ~ (all_4_21 = e4) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6197), (6204) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6207) ~ (e4 = e2) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6208) all_10_16 = e4 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5965), (6208) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6209) e4 = e3 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6209) implies: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6210) e4 = e3 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (6210) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6211) $false % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6211) is inconsistent. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6212) all_10_17 = e4 | all_10_18 = e4 | all_10_19 = e4 | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e4 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6212) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6213) all_10_17 = e4 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (6213) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6214) all_4_21 = e4 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6206), (6214) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6215) $false % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6215) is inconsistent. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6216) all_10_18 = e4 | all_10_19 = e4 | all_10_24 = e4 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (19), (600), (5985), (6015), (6207), (6216) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #88. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6217) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (5829), (5923), (6197), (6217) are % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #135. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6218) all_10_14 = e0 | all_10_22 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6218) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6219) all_10_14 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (366), (543), (6219) are inconsistent by sub-proof % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #254. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6220) all_10_22 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (516), (5986), (6220) are inconsistent by % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #253. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6221) all_10_4 = e0 | all_10_9 = e0 | all_10_16 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (413), (609), (5935), (5940), (5965), (6221) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #123. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6222) ~ (all_10_16 = e3) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (406), (6222) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6223) ~ (all_4_20 = e3) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (191) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6224) all_6_4 = e1 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (6224) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6225) all_4_20 = e1 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (604), (6225) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6226) $false % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6226) is inconsistent. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6227) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_4 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (174) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6228) all_6_24 = e1 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (608), (6228) are inconsistent by sub-proof % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #226. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6229) all_6_24 = e4 | all_6_24 = e3 | all_6_24 = e2 | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_24 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6229) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6230) all_6_24 = e4 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (5952), (6230) are inconsistent by % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #225. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6231) all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6231) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6232) all_6_24 = e2 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (5962), (6232) are inconsistent by % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #222. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6233) all_6_24 = e3 | all_6_24 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6233) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6234) all_6_24 = e3 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (507), (5964), (6234) are inconsistent by % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #265. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6235) all_6_24 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (507), (6235) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6236) all_4_24 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6236) implies: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6237) all_4_24 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (6237) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6238) ~ (all_4_20 = e0) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (5892), (5938), (6223), (6227), (6238) are % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #11. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6239) all_8_69 = e3 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6240) all_8_66 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (6240) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6241) all_4_9 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6241) implies: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6242) all_4_9 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (6239) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6243) all_4_24 = e3 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (90), (6242) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6244) ~ (all_4_5 = e0) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (6242) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6245) ~ (all_4_14 = e0) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6245) implies: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6246) ~ (all_4_14 = e0) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5853), (6242) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6247) ~ (e1 = e0) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5952), (6243) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6248) ~ (e4 = e3) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (193) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6249) all_6_1 = e1 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (471), (6249) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6250) all_4_5 = e1 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (533), (6250) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6251) $false % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6251) is inconsistent. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6252) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_1 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6253) all_10_4 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (413), (609), (5847), (5849), (5911), (5939), % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6253) are inconsistent by sub-proof #4. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6254) all_10_5 = e0 | all_10_8 = e0 | all_10_14 = e0 | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (341) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6255) all_10_0 = e3 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5882), (6255) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6256) e4 = e3 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (6256) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6257) $false % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6257) is inconsistent. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6258) all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_16 = e3 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6254) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6259) all_10_5 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (397), (5923), (6259) are inconsistent by % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #12. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6260) all_10_8 = e0 | all_10_14 = e0 | all_10_22 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6261) all_6_12 = e1 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (6261) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6262) all_4_12 = e1 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6262) implies: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6263) all_4_12 = e1 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (538), (6263) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6264) $false % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6264) is inconsistent. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6265) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_12 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6265) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6266) all_6_12 = e4 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (616), (6266) are inconsistent by sub-proof % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6267) all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6267) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6268) all_6_12 = e2 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (6268) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6269) all_4_12 = e2 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6269) implies: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6270) all_4_12 = e2 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (381), (6270) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6271) all_10_8 = e2 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (366), (516), (543), (5940), (6246), (6260), % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6271) are inconsistent by sub-proof #252. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6272) all_6_12 = e3 | all_6_12 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6258) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6273) all_10_1 = e3 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (6273) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6274) all_4_5 = e3 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (6274) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6275) ~ (all_4_8 = e3) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6275) implies: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6276) ~ (all_4_8 = e3) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6277) all_6_16 = e1 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (602), (6277) are inconsistent by sub-proof % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #242. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6278) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (76), (78), (80), (185), (270), (437), (456), % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (489), (493), (496), (525), (527), (534), (5825), % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5914), (6272), (6276), (6278) are inconsistent by % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6279) ~ (all_10_1 = e3) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (416), (6279) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6280) ~ (all_4_5 = e3) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (471), (5888), (5936), (6244), (6252), (6280) are % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #26. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6281) all_8_69 = e2 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6282) all_8_67 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (6282) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6283) all_4_14 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (6281) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6284) all_4_24 = e2 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (6283) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6285) ~ (all_4_9 = e0) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (6284) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6286) ~ (all_4_9 = e2) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (6284) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6287) ~ (all_4_21 = e2) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (27), (6284) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6288) ~ (all_4_22 = e2) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6289) all_6_21 = e1 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (503), (5853), (6289) are inconsistent by % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #132. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6290) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_21 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6291) all_6_9 = e1 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (605), (6291) are inconsistent by sub-proof % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #133. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6292) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_9 = e0 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6292) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6293) all_6_9 = e4 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (6293) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6294) all_4_21 = e4 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6294) implies: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6295) all_4_21 = e4 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (6295) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6296) ~ (all_4_22 = e4) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6296) implies: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6297) ~ (all_4_22 = e4) % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6298) all_6_14 = e1 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (492), (6298) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6299) all_4_22 = e1 % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (606), (6299) imply: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6300) $false % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6300) is inconsistent. % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.54 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6301) all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_14 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6301) gives: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6302) all_6_14 = e4 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (492), (6302) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6303) all_4_22 = e4 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6297), (6303) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6304) $false % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6304) is inconsistent. % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6305) all_6_14 = e3 | all_6_14 = e2 | all_6_14 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6305) gives: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6306) all_6_14 = e2 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (492), (6306) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6307) all_4_22 = e2 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6288), (6307) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6308) $false % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6308) is inconsistent. % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6309) all_6_14 = e3 | all_6_14 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6309) gives: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6310) all_6_14 = e3 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (492), (6310) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6311) all_4_22 = e3 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (531), (6311) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6312) $false % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6312) is inconsistent. % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6313) all_6_14 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (492), (6313) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6314) all_4_22 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (6314) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6315) ~ (all_4_7 = e0) % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6290) gives: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6316) all_6_21 = e4 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (6316) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6317) all_4_9 = e4 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5949), (6317) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6318) $false % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6318) is inconsistent. % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6319) all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (184) gives: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6320) all_6_12 = e1 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (6320) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6321) all_4_12 = e1 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (538), (6321) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6322) $false % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6322) is inconsistent. % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6323) all_6_12 = e4 | all_6_12 = e3 | all_6_12 = e2 | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_12 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6319) gives: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6324) all_6_21 = e2 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (6324) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6325) all_4_9 = e2 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6286), (6325) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6326) $false % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6326) is inconsistent. % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6327) ~ (all_6_21 = e2) % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6328) all_6_21 = e3 | all_6_21 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6329) all_10_6 = e4 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (6329) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6330) e4 = e3 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (6330) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6331) $false % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6331) is inconsistent. % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6332) all_10_7 = e4 | all_10_8 = e4 | all_10_11 = e4 | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e4 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6332) gives: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6333) all_10_7 = e4 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (6333) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6334) all_4_7 = e4 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (6334) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6335) ~ (all_4_8 = e4) % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6335) implies: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6336) ~ (all_4_8 = e4) % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (6334) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6337) ~ (all_4_9 = e4) % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6338) all_6_16 = e1 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (602), (6338) are inconsistent by sub-proof % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #242. % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6339) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (75), (496), (503), (534), (5914), (5949), (6285), % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6286), (6290), (6336), (6339) are inconsistent by % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #29. % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6340) ~ (all_10_7 = e4) % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (384), (6340) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6341) ~ (all_4_7 = e4) % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (185) gives: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6342) all_6_11 = e1 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (6342) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6343) all_4_7 = e1 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5825), (6343) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6344) $false % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6344) is inconsistent. % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6345) ~ (all_6_11 = e1) % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6346) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_11 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6346) gives: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6347) all_6_11 = e4 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (6347) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6348) all_4_7 = e4 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6341), (6348) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6349) $false % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6349) is inconsistent. % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6350) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6323) gives: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6351) all_6_12 = e4 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (493), (616), (6351) are inconsistent by sub-proof % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #2. % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6352) all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6328) gives: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6353) all_6_21 = e3 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (6353) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6354) all_4_9 = e3 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (6354) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6355) ~ (all_4_8 = e3) % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6356) all_6_16 = e1 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (602), (6356) are inconsistent by sub-proof % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #242. % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6357) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6350) gives: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6358) all_6_11 = e2 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (489), (6358) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6359) all_4_7 = e2 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (6359) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6360) ~ (all_4_12 = e2) % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6360) implies: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6361) ~ (all_4_12 = e2) % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6352) gives: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6362) all_6_12 = e2 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (493), (6362) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6363) all_4_12 = e2 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6361), (6363) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6364) $false % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6364) is inconsistent. % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6365) all_6_12 = e3 | all_6_12 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (76), (78), (80), (185), (270), (437), (456), % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (489), (493), (496), (525), (527), (534), (5825), % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5914), (6355), (6357), (6365) are inconsistent by % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #1. % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6366) all_6_11 = e3 | all_6_11 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (525), (6315), (6366) are inconsistent by % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #170. % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6367) all_6_21 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (503), (6367) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6368) all_4_9 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6285), (6368) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6369) $false % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6369) is inconsistent. % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6370) all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (5834), (5925), (6287), (6370) are % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #120. % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6371) all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (475), (506), (544), (548), (5830), (5832), % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (5890), (5905), (6371) are inconsistent by % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #73. % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (6372) all_6_3 = e3 | all_6_3 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (544), (5830), (6372) are inconsistent by % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #197. % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | (6373) ~ (all_10_2 = e0) % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (6373) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | (6374) ~ (all_4_1 = e0) % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (480), (519), (5884), (5912), (5917), (6374) are % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #49. % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | (6375) all_6_15 = e3 | all_6_15 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (521), (532), (6375) are inconsistent by % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | sub-proof #229. % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | (6376) all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | REF_CLOSE: (479), (517), (612), (5876), (6376) are % 72.14/11.55 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #228. % 72.14/11.55 | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | End of split % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | (6377) all_8_49 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | (6378) all_8_48 = e4 % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | COMBINE_EQS: (452), (6378) imply: % 72.14/11.55 | | | | | | | | | | | | | | | (6379) all_4_20 = e4 % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | SIMP: (6379) implies: % 72.14/11.55 | | | | | | | | | | | | | | | (6380) all_4_20 = e4 % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | COMBINE_EQS: (421), (6377) imply: % 72.14/11.55 | | | | | | | | | | | | | | | (6381) all_4_0 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | COMBINE_EQS: (406), (6380) imply: % 72.14/11.55 | | | | | | | | | | | | | | | (6382) all_10_16 = e4 % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | COMBINE_EQS: (419), (6381) imply: % 72.14/11.55 | | | | | | | | | | | | | | | (6383) all_10_0 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | REDUCE: (123), (6381) imply: % 72.14/11.55 | | | | | | | | | | | | | | | (6384) ~ (all_4_1 = e0) % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | SIMP: (6384) implies: % 72.14/11.55 | | | | | | | | | | | | | | | (6385) ~ (all_4_1 = e0) % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | REDUCE: (121), (6381) imply: % 72.14/11.55 | | | | | | | | | | | | | | | (6386) ~ (all_4_3 = e0) % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | REDUCE: (119), (6381) imply: % 72.14/11.55 | | | | | | | | | | | | | | | (6387) ~ (all_4_5 = e0) % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | SIMP: (6387) implies: % 72.14/11.55 | | | | | | | | | | | | | | | (6388) ~ (all_4_5 = e0) % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | REDUCE: (117), (6381) imply: % 72.14/11.55 | | | | | | | | | | | | | | | (6389) ~ (all_4_15 = e0) % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | REDUCE: (517), (6381) imply: % 72.14/11.55 | | | | | | | | | | | | | | | (6390) ~ (e3 = e0) % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | REDUCE: (87), (6380) imply: % 72.14/11.55 | | | | | | | | | | | | | | | (6391) ~ (all_4_5 = e4) % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | REDUCE: (46), (6380) imply: % 72.14/11.55 | | | | | | | | | | | | | | | (6392) ~ (all_4_15 = e4) % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | REDUCE: (35), (6380) imply: % 72.14/11.55 | | | | | | | | | | | | | | | (6393) ~ (all_4_21 = e4) % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | SIMP: (6393) implies: % 72.14/11.55 | | | | | | | | | | | | | | | (6394) ~ (all_4_21 = e4) % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | REDUCE: (34), (6380) imply: % 72.14/11.55 | | | | | | | | | | | | | | | (6395) ~ (all_4_22 = e4) % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | SIMP: (6395) implies: % 72.14/11.55 | | | | | | | | | | | | | | | (6396) ~ (all_4_22 = e4) % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | REDUCE: (557), (6380) imply: % 72.14/11.55 | | | | | | | | | | | | | | | (6397) op(e4, e4) = all_8_7 % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | REDUCE: (148), (6381) imply: % 72.14/11.55 | | | | | | | | | | | | | | | (6398) op(e4, e4) = e0 % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | BETA: splitting (192) gives: % 72.14/11.55 | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | Case 1: % 72.14/11.55 | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | (6399) all_6_3 = e1 % 72.14/11.55 | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | REF_CLOSE: (475), (542), (6399) are inconsistent by sub-proof % 72.14/11.55 | | | | | | | | | | | | | | | | #219. % 72.14/11.55 | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | (6400) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | % 72.14/11.55 | | | | | | | | | | | | | | | | all_6_3 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | BETA: splitting (6400) gives: % 72.14/11.55 | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | Case 1: % 72.14/11.55 | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | (6401) all_6_3 = e4 % 72.14/11.55 | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (6392), (6401) are inconsistent by % 72.14/11.55 | | | | | | | | | | | | | | | | | sub-proof #218. % 72.14/11.55 | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | (6402) ~ (all_6_3 = e4) % 72.14/11.55 | | | | | | | | | | | | | | | | | (6403) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0 % 72.14/11.55 | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | BETA: splitting (341) gives: % 72.14/11.55 | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.55 | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | (6404) all_10_0 = e3 % 72.14/11.55 | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (6383), (6404) are inconsistent by sub-proof % 72.14/11.55 | | | | | | | | | | | | | | | | | | #42. % 72.14/11.55 | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | Case 2: % 72.14/11.55 | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | (6405) all_10_1 = e3 | all_10_4 = e3 | all_10_9 = e3 | % 72.14/11.55 | | | | | | | | | | | | | | | | | | all_10_16 = e3 % 72.14/11.55 | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | BETA: splitting (6405) gives: % 72.14/11.55 | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | Case 1: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | (6406) all_10_1 = e3 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (416), (6406) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | (6407) all_4_5 = e3 % 72.14/11.55 | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | REDUCE: (91), (6407) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | (6408) ~ (all_4_8 = e3) % 72.14/11.55 | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | SIMP: (6408) implies: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | (6409) ~ (all_4_8 = e3) % 72.14/11.55 | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | REDUCE: (88), (6407) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | (6410) ~ (all_4_15 = e3) % 72.14/11.55 | | | | | | | | | | | | | | | | | | | % 72.14/11.55 | | | | | | | | | | | | | | | | | | | REDUCE: (6391), (6407) imply: % 72.14/11.55 | | | | | | | | | | | | | | | | | | | (6411) ~ (e4 = e3) % 72.30/11.55 | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | REDUCE: (552), (6407) imply: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | (6412) op(e3, e3) = all_8_2 % 72.30/11.55 | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | REDUCE: (147), (6407) imply: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | (6413) op(e4, e3) = e3 % 72.30/11.55 | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | BETA: splitting (6403) gives: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | (6414) all_6_3 = e2 % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (6414) imply: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | (6415) all_4_15 = e2 % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | SIMP: (6415) implies: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | (6416) all_4_15 = e2 % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | REDUCE: (556), (6416) imply: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | (6417) op(e2, e1) = all_8_6 % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | REDUCE: (145), (6416) imply: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | (6418) op(e4, e1) = e2 % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | BETA: splitting (322) gives: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | (6419) all_10_6 = e4 % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (6419) imply: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | (6420) e4 = e3 % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (6420) imply: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | (6421) $false % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | CLOSE: (6421) is inconsistent. % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | (6422) all_10_7 = e4 | all_10_8 = e4 | all_10_11 = e4 | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | all_10_18 = e4 % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6422) gives: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | (6423) all_10_7 = e4 % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (384), (6423) imply: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | (6424) all_4_7 = e4 % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (80), (6424) imply: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | (6425) ~ (all_4_8 = e4) % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | SIMP: (6425) implies: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | (6426) ~ (all_4_8 = e4) % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (571), (6424) imply: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | (6427) op(e4, e3) = all_8_21 % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (6424) imply: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | (6428) op(e2, e3) = e4 % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | (6429) all_6_23 = e1 % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (506), (5868), (6429) are inconsistent by % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #55. % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | (6430) all_6_23 = e4 | all_6_23 = e3 | all_6_23 = e2 | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | all_6_23 = e0 % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | | (6431) all_6_16 = e1 % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (6431) imply: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | | (6432) all_4_8 = e1 % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (602), (6432) imply: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | | (6433) $false % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6433) is inconsistent. % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | | (6434) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0 % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.55 | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | (6435) all_10_16 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6382), (6435) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | (6436) e4 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (6436) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | (6437) $false % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6437) is inconsistent. % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | (6438) all_10_17 = e3 | all_10_18 = e3 | all_10_19 = e3 | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6438) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (6439) all_10_17 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (391), (6439) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (6440) all_4_21 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5834), (6440) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (6441) $false % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6441) is inconsistent. % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (6442) all_10_18 = e3 | all_10_19 = e3 | all_10_24 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6443) all_10_12 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (372), (521), (6443) are inconsistent by sub-proof % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | #224. % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6444) ~ (all_10_12 = e3) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (6445) all_10_13 = e3 | all_10_14 = e3 | all_10_15 = e3 | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6445) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6446) all_10_13 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (369), (6409), (6446) are inconsistent by % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #220. % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6447) ~ (all_10_13 = e3) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6448) all_10_14 = e3 | all_10_15 = e3 | all_10_19 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6434) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6449) all_6_16 = e4 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (6449) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6450) all_4_8 = e4 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6426), (6450) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6451) $false % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6451) is inconsistent. % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6452) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6452) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6453) all_6_16 = e2 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (6453) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6454) all_4_8 = e2 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (101), (6454) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6455) ~ (all_4_3 = e2) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (6454) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6456) ~ (all_4_13 = e2) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6456) implies: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6457) ~ (all_4_13 = e2) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (534), (6454) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6458) ~ (e2 = e0) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (6454) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6459) op(e2, e3) = all_8_30 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (181) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6460) all_6_15 = e1 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (601), (6460) are inconsistent by sub-proof % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #267. % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6461) ~ (all_6_15 = e1) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6462) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_15 = e0 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (339) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6463) all_10_0 = e2 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6383), (6458), (6463) are inconsistent by % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #180. % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6464) all_10_2 = e2 | all_10_6 = e2 | all_10_12 = e2 | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_20 = e2 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6462) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6465) all_6_15 = e4 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (6465) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6466) all_4_3 = e4 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6466) implies: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6467) all_4_3 = e4 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5873), (6467) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6468) all_8_37 = e4 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (6467) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6469) ~ (all_4_1 = e4) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (578), (6467) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6470) op(e4, e4) = all_8_28 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (579), (6467) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6471) op(e4, e1) = all_8_27 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6464) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6472) all_10_2 = e2 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (6472) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6473) all_4_1 = e2 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6473) implies: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6474) all_4_1 = e2 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (6474) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6475) ~ (all_4_11 = e2) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6475) implies: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6476) ~ (all_4_11 = e2) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (109), (6474) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6477) ~ (all_4_21 = e2) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6477) implies: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6478) ~ (all_4_21 = e2) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5823), (6474) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6479) ~ (e2 = e1) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (6474) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6480) op(e2, e3) = all_8_9 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6448) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6481) all_10_14 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (366), (6481) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6482) all_4_13 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6482) implies: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6483) all_4_13 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (6483) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6484) all_8_4 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (6483) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6485) op(e3, e2) = all_8_32 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6430) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6486) all_6_23 = e4 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (506), (6486) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6487) all_4_19 = e4 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6487) implies: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6488) all_4_19 = e4 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (515), (6488) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6489) all_10_23 = e4 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (592), (6488) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6490) op(e4, e1) = all_8_43 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6442) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6491) all_10_18 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (6491) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6492) all_4_22 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (531), (6492) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6493) $false % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6493) is inconsistent. % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6494) all_10_19 = e3 | all_10_24 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (186) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6495) all_6_9 = e1 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (6495) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6496) all_4_21 = e1 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (605), (6496) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6497) $false % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6497) is inconsistent. % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6498) ~ (all_6_9 = e1) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6499) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_9 = e0 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6494) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6500) all_10_19 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (600), (6500) are inconsistent by sub-proof % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #217. % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6501) all_10_24 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (514), (6501) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6502) all_4_24 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6502) implies: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6503) all_4_24 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (6503) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6504) all_8_69 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (6503) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6505) ~ (all_4_14 = e3) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6499) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6506) all_6_9 = e4 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (6394), (6506) are inconsistent by % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #9. % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6507) all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e0 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6507) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6508) all_6_9 = e2 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (485), (6478), (6508) are inconsistent by % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #121. % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6509) ~ (all_6_9 = e2) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6510) all_6_9 = e3 | all_6_9 = e0 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (267) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6511) ~ (all_8_69 = e3) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6504), (6511) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6512) $false % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6512) is inconsistent. % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6513) all_8_66 = e0 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (463), (6513) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6514) all_4_9 = e0 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6514) implies: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6515) all_4_9 = e0 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (354), (6515) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6516) all_10_21 = e0 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6510) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6517) all_6_9 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (6517) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6518) all_4_21 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5834), (6518) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6519) $false % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6519) is inconsistent. % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6520) all_6_9 = e0 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (485), (6520) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6521) all_4_21 = e0 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (6521) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6522) all_8_53 = e0 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (6521) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6523) ~ (all_4_11 = e0) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (6521) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6524) ~ (all_4_22 = e0) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6524) implies: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6525) ~ (all_4_22 = e0) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6478), (6521) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6526) ~ (e2 = e0) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (605), (6521) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6527) ~ (e1 = e0) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (182) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6528) all_6_14 = e1 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (492), (6528) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6529) all_4_22 = e1 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6529) implies: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6530) all_4_22 = e1 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (606), (6530) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6531) $false % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6531) is inconsistent. % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6532) all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_14 = e0 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6533) all_6_7 = e1 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (6533) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6534) all_4_11 = e1 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (6534) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6535) $false % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6535) is inconsistent. % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6536) ~ (all_6_7 = e1) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6537) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_7 = e0 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6537) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6538) all_6_7 = e4 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (6538) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6539) all_4_11 = e4 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (621), (6539) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6540) all_8_18 = e4 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (6539) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6541) ~ (all_4_14 = e4) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6541) implies: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6542) ~ (all_4_14 = e4) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6476), (6539) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6543) ~ (e4 = e2) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (6539) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6544) op(e4, e3) = all_8_12 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (6539) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6545) op(e4, e2) = all_8_13 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (141), (6539) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6546) op(e3, e2) = e4 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6547) all_10_20 = e2 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5849), (6479), (6547) are inconsistent by % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #95. % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6548) all_10_21 = e2 | all_10_22 = e2 | all_10_23 = e2 | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_24 = e2 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6548) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6549) all_10_21 = e2 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6458), (6516), (6549) are inconsistent by % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #66. % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6550) all_10_22 = e2 | all_10_23 = e2 | all_10_24 = e2 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6532) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6551) all_6_14 = e4 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (492), (6551) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6552) all_4_22 = e4 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6552) implies: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6553) all_4_22 = e4 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6396), (6553) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6554) $false % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6554) is inconsistent. % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6555) all_6_14 = e3 | all_6_14 = e2 | all_6_14 = e0 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6550) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6556) all_10_22 = e2 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (516), (6556) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6557) all_4_14 = e2 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (349), (6557) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6558) all_8_67 = e2 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (6557) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6559) ~ (all_4_12 = e2) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6542), (6557) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6560) ~ (e4 = e2) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6505), (6557) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6561) ~ (e3 = e2) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6555) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6562) all_6_14 = e2 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (492), (6562) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6563) all_4_22 = e2 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6563) implies: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6564) all_4_22 = e2 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (456), (6564) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6565) all_8_58 = e2 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_6, % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e2, simplifying with (5871), (6417) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6566) all_8_6 = e1 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_30, % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_9, e3, e2, simplifying with (6459), (6480) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6567) all_8_9 = all_8_30 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_9, % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e2, simplifying with (6428), (6480) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6568) all_8_9 = e4 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_8_32, % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e3, simplifying with (6485), (6546) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6569) all_8_32 = e4 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_2, % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e3, simplifying with (5836), (6412) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6570) all_8_2 = e1 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_43, % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_27, e1, e4, simplifying with (6471), (6490) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6571) all_8_27 = all_8_43 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, all_8_27, % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, e4, simplifying with (6418), (6471) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6572) all_8_27 = e2 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, all_8_13, % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e4, simplifying with (23), (6545) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6573) all_8_13 = e1 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_21, % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_12, e3, e4, simplifying with (6427), (6544) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6574) all_8_12 = all_8_21 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, all_8_12, % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e4, simplifying with (6413), (6544) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6575) all_8_12 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_8_28, % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_7, e4, e4, simplifying with (6397), (6470) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6576) all_8_7 = all_8_28 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_8_7, % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4, e4, simplifying with (6397), (6398) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6577) all_8_7 = e0 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6576), (6577) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6578) all_8_28 = e0 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6578) implies: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6579) all_8_28 = e0 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6567), (6568) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6580) all_8_30 = e4 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6580) implies: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6581) all_8_30 = e4 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6574), (6575) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6582) all_8_21 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6582) implies: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6583) all_8_21 = e3 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6571), (6572) imply: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6584) all_8_43 = e2 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6584) implies: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6585) all_8_43 = e2 % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (265) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6586) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) | (all_8_13 = % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6586) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6587) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & ~ % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6587) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6588) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50)) | (all_8_4 = e4 & ~ (all_8_3 = e2) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_46 = all_8_55)) % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6588) gives: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6589) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (6570), (6589) are inconsistent by sub-proof % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #216. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6590) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_55) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (20), (6484), (6590) are inconsistent by sub-proof % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #215. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6591) (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_8 = e4 & ~ (all_8_7 = e0) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_8_48 = all_8_65)) | (all_8_10 = e3 & % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6591) gives: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6592) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (19), (6566), (6592) are inconsistent by sub-proof % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #214. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6593) (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_10 = e3 & ~ (all_8_9 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_45 = all_8_50)) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6593) gives: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6594) all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6594) implies: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6595) ~ (all_8_7 = e0) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6577), (6595) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6596) $false % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6596) is inconsistent. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6597) all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_50) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6597) implies: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6598) ~ (all_8_9 = e4) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6568), (6598) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6599) $false % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6599) is inconsistent. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6600) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6600) gives: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6601) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56)) | (all_8_15 = e3 & ~ (all_8_14 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_52 = all_8_61)) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6601) gives: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6602) all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (6573), (6602) are inconsistent by sub-proof % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #149. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6603) all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6603) implies: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6604) ~ (all_8_14 = e1) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (5874), (6604) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6605) $false % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6605) is inconsistent. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6606) (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_19 = e2 & ~ (all_8_18 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_56)) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6606) gives: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6607) all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6607) implies: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6608) ~ (all_8_53 = all_8_66) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6513), (6522), (6608) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6609) $false % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6609) is inconsistent. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6610) (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_51 = all_8_56)) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6610) gives: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6611) all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_55) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6611) implies: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6612) ~ (all_8_18 = e4) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6540), (6612) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6613) $false % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6613) is inconsistent. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6614) all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_56) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6614) implies: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6615) all_8_21 = e2 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6583), (6615) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6616) e3 = e2 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6501), (6616) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6617) all_10_24 = e2 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (600), (6494), (6617) are inconsistent % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #118. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6618) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) | (all_8_35 = e1 & ~ (all_8_34 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_63 = all_8_68)) | (all_8_37 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_65)) | (all_8_39 = e0 & ~ (all_8_38 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_53 = all_8_66)) | (all_8_41 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6618) gives: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6619) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6619) gives: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6620) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62)) | (all_8_26 = e2 & ~ (all_8_25 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0) & ~ (all_8_58 = all_8_67)) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5872), (6458), (6558), (6565), (6620) are % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #7. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6621) (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60)) | (all_8_30 = e1 & ~ (all_8_29 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_62)) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6621) gives: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6622) all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_60) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6622) implies: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6623) all_8_28 = e1 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6579), (6623) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6624) e1 = e0 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6624) implies: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6625) e1 = e0 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5849), (6625) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6626) all_10_20 = e0 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (372), (601), (609), (5847), (6626) are % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #47. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6627) (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61)) | (all_8_32 = e1 & ~ (all_8_31 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_57 = all_8_62)) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6627) gives: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6628) all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_61) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6628) implies: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6629) all_8_30 = e1 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6581), (6629) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6630) e4 = e1 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (6630) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6631) $false % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6631) is inconsistent. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6632) all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_62) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6632) implies: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6633) all_8_32 = e1 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6569), (6633) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6634) e4 = e1 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (6634) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6635) $false % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6635) is inconsistent. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6636) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) | (all_8_39 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6636) gives: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6637) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68)) | (all_8_37 = e0 & ~ (all_8_36 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4) & ~ (all_8_48 = all_8_65)) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6637) gives: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6638) all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6638) implies: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6639) ~ (all_8_34 = e0) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (618), (6639) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6640) $false % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6640) is inconsistent. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6641) all_8_37 = e0 & ~ (all_8_36 = e4) & ~ (all_8_48 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_65) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6641) implies: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6642) all_8_37 = e0 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6468), (6642) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6643) e4 = e0 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (18), (6643) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6644) $false % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6644) is inconsistent. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6645) (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66)) | (all_8_41 = e0 & ~ (all_8_40 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_68)) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6645) gives: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6646) all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_66) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6646) implies: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6647) ~ (all_8_53 = all_8_66) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6513), (6522), (6647) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6648) $false % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6648) is inconsistent. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6649) (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) & ~ (all_8_63 = all_8_68)) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6649) gives: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6650) all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_67) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (6650) implies: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6651) ~ (all_8_58 = all_8_67) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6558), (6565), (6651) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6652) $false % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6652) is inconsistent. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6653) all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = all_8_68) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6458), (6585), (6653) are inconsistent by % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6654) ~ (all_6_14 = e2) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (492), (6654) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6655) ~ (all_4_22 = e2) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (321) gives: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6656) all_10_6 = e2 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (6656) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6657) e3 = e2 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6657) implies: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6658) e3 = e2 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6501), (6658) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6659) all_10_24 = e2 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (600), (6494), (6659) are inconsistent % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #118. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6660) all_10_7 = e2 | all_10_8 = e2 | all_10_11 = e2 | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_18 = e2 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6660) gives: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6661) all_10_7 = e2 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6423), (6661) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6662) e4 = e2 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6543), (6662) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6663) $false % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6663) is inconsistent. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6664) all_10_8 = e2 | all_10_11 = e2 | all_10_18 = e2 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6664) gives: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6665) all_10_8 = e2 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (381), (6665) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6666) all_4_12 = e2 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6559), (6666) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6667) $false % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6667) is inconsistent. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6668) all_10_11 = e2 | all_10_18 = e2 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6668) gives: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6669) all_10_11 = e2 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5864), (6669) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6670) e2 = e1 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6479), (6670) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6671) $false % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6671) is inconsistent. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6672) all_10_18 = e2 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (6672) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6673) all_4_22 = e2 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6655), (6673) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6674) $false % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6674) is inconsistent. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6675) all_10_23 = e2 | all_10_24 = e2 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6675) gives: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6676) all_10_23 = e2 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (6489), (6676) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6677) e4 = e2 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (6677) implies: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6678) e4 = e2 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6543), (6678) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6679) $false % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6679) is inconsistent. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6680) all_10_24 = e2 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (600), (6494), (6680) are inconsistent % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #118. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6681) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (5829), (6476), (6523), (6681) are % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #135. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6682) all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e0 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (47), (475), (506), (544), (548), (5830), (5832), % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6392), (6400), (6682) are inconsistent by % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #73. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6683) all_10_15 = e3 | all_10_19 = e3 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (15), (16), (363), (600), (6683) are inconsistent % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #56. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6684) ~ (all_10_2 = e2) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (6684) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6685) ~ (all_4_1 = e2) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (190), (480), (519), (5823), (6385), (6469), % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6685) are inconsistent by sub-proof #137. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6686) all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (521), (532), (6455), (6686) are % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #159. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (6687) all_6_16 = e3 | all_6_16 = e0 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (496), (534), (6409), (6687) are inconsistent by % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #176. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | (6688) all_10_8 = e4 | all_10_11 = e4 | all_10_18 = e4 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6688) gives: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | (6689) all_10_8 = e4 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (381), (6689) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | (6690) all_4_12 = e4 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (616), (6690) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | (6691) $false % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6691) is inconsistent. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | (6692) all_10_11 = e4 | all_10_18 = e4 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (6692) gives: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | (6693) all_10_11 = e4 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (5864), (6693) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | (6694) e4 = e1 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (6694) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | (6695) $false % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6695) is inconsistent. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | (6696) all_10_18 = e4 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (375), (6696) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | (6697) all_4_22 = e4 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (6396), (6697) imply: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | (6698) $false % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (6698) is inconsistent. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | (6699) all_6_3 = e3 | all_6_3 = e0 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (475), (544), (5830), (6699) are inconsistent by % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | sub-proof #197. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | Case 2: % 72.30/11.59 | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | (6700) all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3 % 72.30/11.59 | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (20), (409), (413), (5830), (6382), (6700) % 72.30/11.59 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #38. % 72.30/11.59 | | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | | % 72.30/11.59 | | | | | | | | | | | | | | End of split % 72.30/11.59 | | | | | | | | | | | | | | % 72.30/11.60 | | | | | | | | | | | | | Case 2: % 72.30/11.60 | | | | | | | | | | | | | | % 72.30/11.60 | | | | | | | | | | | | | | (6701) all_10_18 = e1 % 72.30/11.60 | | | | | | | | | | | | | | % 72.30/11.60 | | | | | | | | | | | | | | COMBINE_EQS: (375), (6701) imply: % 72.30/11.60 | | | | | | | | | | | | | | (6702) all_4_22 = e1 % 72.30/11.60 | | | | | | | | | | | | | | % 72.30/11.60 | | | | | | | | | | | | | | REDUCE: (606), (6702) imply: % 72.30/11.60 | | | | | | | | | | | | | | (6703) $false % 72.30/11.60 | | | | | | | | | | | | | | % 72.30/11.60 | | | | | | | | | | | | | | CLOSE: (6703) is inconsistent. % 72.30/11.60 | | | | | | | | | | | | | | % 72.30/11.60 | | | | | | | | | | | | | End of split % 72.30/11.60 | | | | | | | | | | | | | % 72.30/11.60 | | | | | | | | | | | | End of split % 72.30/11.60 | | | | | | | | | | | | % 72.30/11.60 | | | | | | | | | | | End of split % 72.30/11.60 | | | | | | | | | | | % 72.30/11.60 | | | | | | | | | | End of split % 72.30/11.60 | | | | | | | | | | % 72.30/11.60 | | | | | | | | | End of split % 72.30/11.60 | | | | | | | | | % 72.30/11.60 | | | | | | | | End of split % 72.30/11.60 | | | | | | | | % 72.30/11.60 | | | | | | | End of split % 72.30/11.60 | | | | | | | % 72.30/11.60 | | | | | | End of split % 72.30/11.60 | | | | | | % 72.30/11.60 | | | | | End of split % 72.30/11.60 | | | | | % 72.30/11.60 | | | | Case 2: % 72.30/11.60 | | | | | % 72.30/11.60 | | | | | (6704) all_8_55 = e2 % 72.30/11.60 | | | | | % 72.30/11.60 | | | | | COMBINE_EQS: (433), (6704) imply: % 72.30/11.60 | | | | | (6705) e3 = e2 % 72.30/11.60 | | | | | % 72.30/11.60 | | | | | REDUCE: (17), (6705) imply: % 72.30/11.60 | | | | | (6706) $false % 72.30/11.60 | | | | | % 72.30/11.60 | | | | | CLOSE: (6706) is inconsistent. % 72.30/11.60 | | | | | % 72.30/11.60 | | | | End of split % 72.30/11.60 | | | | % 72.30/11.60 | | | Case 2: % 72.30/11.60 | | | | % 72.30/11.60 | | | | (6707) all_8_50 = e3 % 72.30/11.60 | | | | % 72.30/11.60 | | | | COMBINE_EQS: (425), (6707) imply: % 72.30/11.60 | | | | (6708) all_4_1 = e3 % 72.30/11.60 | | | | % 72.30/11.60 | | | | SIMP: (6708) implies: % 72.30/11.60 | | | | (6709) all_4_1 = e3 % 72.30/11.60 | | | | % 72.30/11.60 | | | | REDUCE: (519), (6709) imply: % 72.30/11.60 | | | | (6710) $false % 72.30/11.60 | | | | % 72.30/11.60 | | | | CLOSE: (6710) is inconsistent. % 72.30/11.60 | | | | % 72.30/11.60 | | | End of split % 72.30/11.60 | | | % 72.30/11.60 | | Case 2: % 72.30/11.60 | | | % 72.30/11.60 | | | (6711) all_8_46 = e4 % 72.30/11.60 | | | % 72.30/11.60 | | | COMBINE_EQS: (429), (6711) imply: % 72.30/11.60 | | | (6712) e4 = e1 % 72.30/11.60 | | | % 72.30/11.60 | | | REDUCE: (19), (6712) imply: % 72.30/11.60 | | | (6713) $false % 72.30/11.60 | | | % 72.30/11.60 | | | CLOSE: (6713) is inconsistent. % 72.30/11.60 | | | % 72.30/11.60 | | End of split % 72.30/11.60 | | % 72.30/11.60 | End of split % 72.30/11.60 | % 72.30/11.60 End of proof % 72.30/11.60 % 72.30/11.60 Sub-proof #1 shows that the following formulas are inconsistent: % 72.30/11.60 ---------------------------------------------------------------- % 72.30/11.60 (1) ~ (all_4_7 = all_4_12) % 72.30/11.60 (2) all_6_12 = e3 | all_6_12 = e0 % 72.30/11.60 (3) ~ (all_4_7 = all_4_8) % 72.30/11.60 (4) ~ (all_4_12 = e3) % 72.30/11.60 (5) ~ (all_4_8 = e2) % 72.30/11.60 (6) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 72.30/11.60 (7) all_6_12 = all_4_12 % 72.30/11.60 (8) all_8_59 = all_4_12 % 72.30/11.60 (9) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 | all_6_11 % 72.30/11.60 = e0 % 72.30/11.60 (10) ~ (all_4_7 = e3) % 72.30/11.60 (11) all_8_58 = all_4_22 % 72.30/11.60 (12) ~ (all_4_7 = all_4_22) % 72.30/11.60 (13) ~ (all_4_7 = e1) % 72.30/11.60 (14) ~ (all_4_8 = e0) % 72.30/11.60 (15) all_6_16 = all_4_8 % 72.30/11.60 (16) all_6_11 = all_4_7 % 72.30/11.60 (17) ~ (all_8_59 = e0) | all_8_58 = e2 % 72.30/11.60 (18) ~ (all_4_8 = e3) % 72.30/11.60 % 72.30/11.60 Begin of proof % 72.30/11.60 | % 72.30/11.60 | BETA: splitting (6) gives: % 72.30/11.60 | % 72.30/11.60 | Case 1: % 72.30/11.60 | | % 72.30/11.60 | | (19) all_6_16 = e4 % 72.30/11.60 | | % 72.30/11.60 | | COMBINE_EQS: (15), (19) imply: % 72.30/11.60 | | (20) all_4_8 = e4 % 72.30/11.60 | | % 72.30/11.60 | | SIMP: (20) implies: % 72.30/11.60 | | (21) all_4_8 = e4 % 72.30/11.60 | | % 72.30/11.60 | | REDUCE: (3), (21) imply: % 72.30/11.60 | | (22) ~ (all_4_7 = e4) % 72.30/11.60 | | % 72.30/11.60 | | BETA: splitting (2) gives: % 72.30/11.60 | | % 72.30/11.60 | | Case 1: % 72.30/11.60 | | | % 72.30/11.60 | | | (23) all_6_12 = e3 % 72.30/11.60 | | | % 72.30/11.60 | | | COMBINE_EQS: (7), (23) imply: % 72.30/11.60 | | | (24) all_4_12 = e3 % 72.30/11.60 | | | % 72.30/11.60 | | | SIMP: (24) implies: % 72.30/11.60 | | | (25) all_4_12 = e3 % 72.30/11.60 | | | % 72.30/11.60 | | | REDUCE: (4), (25) imply: % 72.30/11.60 | | | (26) $false % 72.30/11.60 | | | % 72.30/11.60 | | | CLOSE: (26) is inconsistent. % 72.30/11.60 | | | % 72.30/11.60 | | Case 2: % 72.30/11.60 | | | % 72.30/11.60 | | | (27) all_6_12 = e0 % 72.30/11.60 | | | % 72.30/11.60 | | | COMBINE_EQS: (7), (27) imply: % 72.30/11.60 | | | (28) all_4_12 = e0 % 72.30/11.60 | | | % 72.30/11.60 | | | SIMP: (28) implies: % 72.30/11.60 | | | (29) all_4_12 = e0 % 72.30/11.60 | | | % 72.30/11.60 | | | COMBINE_EQS: (8), (29) imply: % 72.30/11.60 | | | (30) all_8_59 = e0 % 72.30/11.60 | | | % 72.30/11.60 | | | REDUCE: (1), (29) imply: % 72.30/11.60 | | | (31) ~ (all_4_7 = e0) % 72.30/11.60 | | | % 72.30/11.60 | | | BETA: splitting (17) gives: % 72.30/11.60 | | | % 72.30/11.60 | | | Case 1: % 72.30/11.60 | | | | % 72.30/11.60 | | | | (32) ~ (all_8_59 = e0) % 72.30/11.60 | | | | % 72.30/11.60 | | | | REDUCE: (30), (32) imply: % 72.30/11.60 | | | | (33) $false % 72.30/11.60 | | | | % 72.30/11.60 | | | | CLOSE: (33) is inconsistent. % 72.30/11.60 | | | | % 72.30/11.60 | | | Case 2: % 72.30/11.60 | | | | % 72.30/11.60 | | | | (34) all_8_58 = e2 % 72.30/11.60 | | | | % 72.30/11.60 | | | | COMBINE_EQS: (11), (34) imply: % 72.30/11.60 | | | | (35) all_4_22 = e2 % 72.30/11.60 | | | | % 72.30/11.60 | | | | SIMP: (35) implies: % 72.30/11.60 | | | | (36) all_4_22 = e2 % 72.30/11.60 | | | | % 72.30/11.60 | | | | REDUCE: (12), (36) imply: % 72.30/11.60 | | | | (37) ~ (all_4_7 = e2) % 72.30/11.60 | | | | % 72.30/11.60 | | | | REF_CLOSE: (9), (10), (13), (16), (22), (31), (37) are inconsistent by % 72.30/11.60 | | | | sub-proof #5. % 72.30/11.60 | | | | % 72.30/11.60 | | | End of split % 72.30/11.60 | | | % 72.30/11.60 | | End of split % 72.30/11.60 | | % 72.30/11.60 | Case 2: % 72.30/11.60 | | % 72.30/11.60 | | (38) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 72.30/11.60 | | % 72.30/11.60 | | REF_CLOSE: (5), (14), (15), (18), (38) are inconsistent by sub-proof #175. % 72.30/11.60 | | % 72.30/11.60 | End of split % 72.30/11.60 | % 72.30/11.60 End of proof % 72.30/11.60 % 72.30/11.60 Sub-proof #2 shows that the following formulas are inconsistent: % 72.30/11.60 ---------------------------------------------------------------- % 72.30/11.60 (1) all_6_12 = all_4_12 % 72.30/11.60 (2) all_6_12 = e4 % 72.30/11.60 (3) ~ (all_4_12 = e4) % 72.30/11.60 % 72.30/11.60 Begin of proof % 72.30/11.60 | % 72.30/11.60 | COMBINE_EQS: (1), (2) imply: % 72.30/11.60 | (4) all_4_12 = e4 % 72.30/11.60 | % 72.30/11.60 | SIMP: (4) implies: % 72.30/11.60 | (5) all_4_12 = e4 % 72.30/11.60 | % 72.30/11.60 | REDUCE: (3), (5) imply: % 72.30/11.60 | (6) $false % 72.30/11.60 | % 72.30/11.60 | CLOSE: (6) is inconsistent. % 72.30/11.60 | % 72.30/11.60 End of proof % 72.30/11.60 % 72.30/11.60 Sub-proof #3 shows that the following formulas are inconsistent: % 72.30/11.60 ---------------------------------------------------------------- % 72.30/11.60 (1) all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = all_8_68) % 72.30/11.60 (2) all_8_43 = e2 % 72.30/11.60 (3) ~ (e2 = e0) % 72.30/11.60 % 72.30/11.60 Begin of proof % 72.30/11.60 | % 72.30/11.60 | ALPHA: (1) implies: % 72.30/11.60 | (4) all_8_43 = e0 % 72.30/11.60 | % 72.30/11.60 | COMBINE_EQS: (2), (4) imply: % 72.30/11.60 | (5) e2 = e0 % 72.30/11.60 | % 72.30/11.60 | SIMP: (5) implies: % 72.30/11.60 | (6) e2 = e0 % 72.30/11.60 | % 72.30/11.60 | REDUCE: (3), (6) imply: % 72.30/11.60 | (7) $false % 72.30/11.60 | % 72.30/11.60 | CLOSE: (7) is inconsistent. % 72.30/11.60 | % 72.30/11.60 End of proof % 72.30/11.60 % 72.30/11.60 Sub-proof #4 shows that the following formulas are inconsistent: % 72.30/11.60 ---------------------------------------------------------------- % 72.30/11.60 (1) ~ (e1 = e0) % 72.30/11.60 (2) all_10_12 = e2 % 72.30/11.60 (3) all_10_4 = e0 % 72.30/11.60 (4) ~ (e2 = e1) % 72.30/11.60 (5) all_10_12 = e1 | all_10_20 = e1 % 72.30/11.60 (6) all_10_20 = e1 % 72.30/11.60 (7) all_10_4 = e1 % 72.30/11.60 % 72.30/11.60 Begin of proof % 72.30/11.60 | % 72.30/11.60 | COMBINE_EQS: (3), (7) imply: % 72.30/11.60 | (8) e1 = e0 % 72.30/11.60 | % 72.30/11.60 | COMBINE_EQS: (6), (8) imply: % 72.30/11.60 | (9) all_10_20 = e0 % 72.30/11.60 | % 72.30/11.60 | REF_CLOSE: (1), (2), (4), (5), (9) are inconsistent by sub-proof #107. % 72.30/11.60 | % 72.30/11.60 End of proof % 72.30/11.60 % 72.30/11.60 Sub-proof #5 shows that the following formulas are inconsistent: % 72.30/11.60 ---------------------------------------------------------------- % 72.30/11.60 (1) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 | all_6_11 % 72.30/11.60 = e0 % 72.30/11.60 (2) ~ (all_4_7 = e3) % 72.30/11.60 (3) ~ (all_4_7 = e4) % 72.30/11.60 (4) ~ (all_4_7 = e1) % 72.30/11.60 (5) ~ (all_4_7 = e0) % 72.30/11.60 (6) all_6_11 = all_4_7 % 72.30/11.60 (7) ~ (all_4_7 = e2) % 72.30/11.60 % 72.30/11.60 Begin of proof % 72.30/11.60 | % 72.30/11.60 | BETA: splitting (1) gives: % 72.30/11.60 | % 72.30/11.60 | Case 1: % 72.30/11.60 | | % 72.30/11.60 | | (8) all_6_11 = e1 % 72.30/11.60 | | % 72.30/11.60 | | COMBINE_EQS: (6), (8) imply: % 72.30/11.60 | | (9) all_4_7 = e1 % 72.30/11.60 | | % 72.30/11.60 | | REDUCE: (4), (9) imply: % 72.30/11.60 | | (10) $false % 72.30/11.60 | | % 72.30/11.60 | | CLOSE: (10) is inconsistent. % 72.30/11.60 | | % 72.30/11.60 | Case 2: % 72.30/11.60 | | % 72.30/11.60 | | (11) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e0 % 72.30/11.60 | | % 72.30/11.60 | | REF_CLOSE: (2), (3), (5), (6), (7), (11) are inconsistent by sub-proof #10. % 72.30/11.60 | | % 72.30/11.60 | End of split % 72.30/11.60 | % 72.30/11.60 End of proof % 72.30/11.60 % 72.30/11.60 Sub-proof #6 shows that the following formulas are inconsistent: % 72.30/11.60 ---------------------------------------------------------------- % 72.30/11.60 (1) all_10_21 = all_4_9 % 72.30/11.60 (2) all_10_7 = all_4_7 % 72.30/11.60 (3) ~ (all_4_9 = e0) % 72.30/11.60 (4) ~ (e2 = e0) % 72.30/11.60 (5) all_10_13 = all_4_8 % 72.30/11.60 (6) ~ (all_4_8 = e0) % 72.30/11.60 (7) all_10_3 = e2 % 72.30/11.60 (8) ~ (all_4_7 = e0) % 72.30/11.60 (9) all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 | all_10_21 = e0 % 72.30/11.60 % 72.30/11.60 Begin of proof % 72.30/11.60 | % 72.30/11.60 | BETA: splitting (9) gives: % 72.30/11.60 | % 72.30/11.60 | Case 1: % 72.30/11.60 | | % 72.30/11.60 | | (10) all_10_3 = e0 % 72.30/11.60 | | % 72.30/11.60 | | COMBINE_EQS: (7), (10) imply: % 72.30/11.60 | | (11) e2 = e0 % 72.30/11.60 | | % 72.30/11.60 | | REDUCE: (4), (11) imply: % 72.30/11.60 | | (12) $false % 72.30/11.60 | | % 72.30/11.60 | | CLOSE: (12) is inconsistent. % 72.30/11.60 | | % 72.30/11.60 | Case 2: % 72.30/11.60 | | % 72.30/11.60 | | (13) all_10_7 = e0 | all_10_13 = e0 | all_10_21 = e0 % 72.30/11.60 | | % 72.30/11.60 | | REF_CLOSE: (1), (2), (3), (5), (6), (8), (13) are inconsistent by sub-proof % 72.30/11.60 | | #87. % 72.30/11.60 | | % 72.30/11.60 | End of split % 72.30/11.60 | % 72.30/11.60 End of proof % 72.30/11.60 % 72.30/11.60 Sub-proof #7 shows that the following formulas are inconsistent: % 72.30/11.60 ---------------------------------------------------------------- % 72.30/11.60 (1) all_8_58 = e2 % 72.30/11.60 (2) ~ (e2 = e0) % 72.30/11.60 (3) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 = all_8_62)) | % 72.30/11.60 (all_8_26 = e2 & ~ (all_8_25 = e0) & ~ (all_8_58 = all_8_67)) % 72.30/11.60 (4) all_8_24 = e0 % 72.30/11.60 (5) all_8_67 = e2 % 72.30/11.60 % 72.30/11.60 Begin of proof % 72.30/11.60 | % 72.30/11.60 | BETA: splitting (3) gives: % 72.30/11.60 | % 72.30/11.60 | Case 1: % 72.30/11.60 | | % 72.30/11.60 | | (6) all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 = all_8_62) % 72.30/11.60 | | % 72.30/11.60 | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #20. % 72.30/11.60 | | % 72.30/11.60 | Case 2: % 72.30/11.60 | | % 72.30/11.60 | | (7) all_8_26 = e2 & ~ (all_8_25 = e0) & ~ (all_8_58 = all_8_67) % 72.30/11.60 | | % 72.30/11.60 | | ALPHA: (7) implies: % 72.30/11.60 | | (8) ~ (all_8_58 = all_8_67) % 72.30/11.60 | | % 72.30/11.60 | | REDUCE: (1), (5), (8) imply: % 72.30/11.60 | | (9) $false % 72.30/11.60 | | % 72.30/11.60 | | CLOSE: (9) is inconsistent. % 72.30/11.60 | | % 72.30/11.60 | End of split % 72.30/11.60 | % 72.30/11.60 End of proof % 72.30/11.60 % 72.30/11.60 Sub-proof #8 shows that the following formulas are inconsistent: % 72.30/11.60 ---------------------------------------------------------------- % 72.30/11.60 (1) all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = all_8_56) % 72.30/11.60 (2) all_8_21 = e0 % 72.30/11.60 (3) ~ (e2 = e0) % 72.30/11.60 % 72.30/11.60 Begin of proof % 72.30/11.60 | % 72.30/11.60 | ALPHA: (1) implies: % 72.30/11.60 | (4) all_8_21 = e2 % 72.30/11.60 | % 72.30/11.60 | COMBINE_EQS: (2), (4) imply: % 72.30/11.60 | (5) e2 = e0 % 72.30/11.60 | % 72.30/11.60 | SIMP: (5) implies: % 72.30/11.60 | (6) e2 = e0 % 72.30/11.60 | % 72.30/11.60 | REDUCE: (3), (6) imply: % 72.30/11.60 | (7) $false % 72.30/11.60 | % 72.30/11.60 | CLOSE: (7) is inconsistent. % 72.30/11.60 | % 72.30/11.60 End of proof % 72.30/11.60 % 72.30/11.60 Sub-proof #9 shows that the following formulas are inconsistent: % 72.30/11.60 ---------------------------------------------------------------- % 72.30/11.60 (1) all_6_9 = all_4_21 % 72.30/11.60 (2) all_6_9 = e4 % 72.30/11.60 (3) ~ (all_4_21 = e4) % 72.30/11.60 % 72.30/11.60 Begin of proof % 72.30/11.60 | % 72.30/11.60 | COMBINE_EQS: (1), (2) imply: % 72.30/11.60 | (4) all_4_21 = e4 % 72.30/11.60 | % 72.30/11.60 | SIMP: (4) implies: % 72.30/11.60 | (5) all_4_21 = e4 % 72.30/11.60 | % 72.30/11.60 | REDUCE: (3), (5) imply: % 72.30/11.60 | (6) $false % 72.30/11.60 | % 72.30/11.60 | CLOSE: (6) is inconsistent. % 72.30/11.60 | % 72.30/11.60 End of proof % 72.30/11.60 % 72.30/11.60 Sub-proof #10 shows that the following formulas are inconsistent: % 72.30/11.60 ---------------------------------------------------------------- % 72.30/11.60 (1) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e0 % 72.30/11.60 (2) ~ (all_4_7 = e3) % 72.30/11.60 (3) ~ (all_4_7 = e4) % 72.30/11.60 (4) ~ (all_4_7 = e0) % 72.30/11.60 (5) all_6_11 = all_4_7 % 72.30/11.60 (6) ~ (all_4_7 = e2) % 72.30/11.60 % 72.30/11.60 Begin of proof % 72.30/11.60 | % 72.30/11.60 | BETA: splitting (1) gives: % 72.30/11.60 | % 72.30/11.60 | Case 1: % 72.30/11.60 | | % 72.30/11.60 | | (7) all_6_11 = e4 % 72.30/11.60 | | % 72.30/11.60 | | COMBINE_EQS: (5), (7) imply: % 72.30/11.60 | | (8) all_4_7 = e4 % 72.30/11.60 | | % 72.30/11.60 | | SIMP: (8) implies: % 72.30/11.60 | | (9) all_4_7 = e4 % 72.30/11.60 | | % 72.30/11.60 | | REDUCE: (3), (9) imply: % 72.30/11.60 | | (10) $false % 72.30/11.60 | | % 72.30/11.60 | | CLOSE: (10) is inconsistent. % 72.30/11.60 | | % 72.30/11.60 | Case 2: % 72.30/11.60 | | % 72.30/11.60 | | (11) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e0 % 72.30/11.60 | | % 72.30/11.60 | | REF_CLOSE: (2), (4), (5), (6), (11) are inconsistent by sub-proof #169. % 72.30/11.60 | | % 72.30/11.60 | End of split % 72.30/11.60 | % 72.30/11.60 End of proof % 72.30/11.60 % 72.30/11.60 Sub-proof #11 shows that the following formulas are inconsistent: % 72.30/11.60 ---------------------------------------------------------------- % 72.30/11.60 (1) ~ (all_4_20 = e3) % 72.30/11.60 (2) all_6_4 = all_4_20 % 72.30/11.60 (3) ~ (all_4_20 = e0) % 72.30/11.60 (4) ~ (all_4_20 = e2) % 72.30/11.60 (5) ~ (all_4_20 = e4) % 72.30/11.60 (6) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e0 % 72.30/11.60 % 72.30/11.60 Begin of proof % 72.30/11.60 | % 72.30/11.60 | BETA: splitting (6) gives: % 72.30/11.60 | % 72.30/11.60 | Case 1: % 72.30/11.60 | | % 72.30/11.60 | | (7) all_6_4 = e4 % 72.30/11.60 | | % 72.30/11.60 | | REF_CLOSE: (2), (5), (7) are inconsistent by sub-proof #83. % 72.30/11.60 | | % 72.30/11.60 | Case 2: % 72.30/11.60 | | % 72.30/11.60 | | (8) all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e0 % 72.30/11.60 | | % 72.30/11.60 | | BETA: splitting (8) gives: % 72.30/11.60 | | % 72.30/11.60 | | Case 1: % 72.30/11.60 | | | % 72.30/11.60 | | | (9) all_6_4 = e2 % 72.30/11.60 | | | % 72.30/11.60 | | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #82. % 72.30/11.60 | | | % 72.30/11.60 | | Case 2: % 72.30/11.60 | | | % 72.30/11.60 | | | (10) all_6_4 = e3 | all_6_4 = e0 % 72.30/11.60 | | | % 72.30/11.60 | | | REF_CLOSE: (1), (2), (3), (10) are inconsistent by sub-proof #71. % 72.30/11.60 | | | % 72.30/11.60 | | End of split % 72.30/11.60 | | % 72.30/11.60 | End of split % 72.30/11.60 | % 72.30/11.60 End of proof % 72.30/11.60 % 72.30/11.60 Sub-proof #12 shows that the following formulas are inconsistent: % 72.30/11.60 ---------------------------------------------------------------- % 72.30/11.60 (1) all_10_5 = all_4_11 % 72.30/11.60 (2) all_10_5 = e0 % 72.30/11.60 (3) ~ (all_4_11 = e0) % 72.30/11.60 % 72.30/11.60 Begin of proof % 72.30/11.60 | % 72.30/11.60 | COMBINE_EQS: (1), (2) imply: % 72.30/11.60 | (4) all_4_11 = e0 % 72.30/11.60 | % 72.30/11.60 | SIMP: (4) implies: % 72.30/11.60 | (5) all_4_11 = e0 % 72.30/11.60 | % 72.30/11.60 | REDUCE: (3), (5) imply: % 72.30/11.60 | (6) $false % 72.30/11.60 | % 72.30/11.60 | CLOSE: (6) is inconsistent. % 72.30/11.60 | % 72.30/11.60 End of proof % 72.30/11.60 % 72.30/11.60 Sub-proof #13 shows that the following formulas are inconsistent: % 72.30/11.60 ---------------------------------------------------------------- % 72.30/11.60 (1) ~ (all_4_15 = all_4_16) % 72.30/11.60 (2) ~ (all_4_15 = e0) % 72.30/11.60 (3) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0 % 72.30/11.60 (4) ~ (all_4_16 = e0) % 72.30/11.60 (5) ~ (all_4_15 = e3) % 72.30/11.60 (6) all_6_8 = all_4_16 % 72.30/11.60 (7) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 = e0 % 72.30/11.60 (8) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0 % 72.30/11.60 (9) ~ (all_4_15 = all_4_17) % 72.30/11.60 (10) ~ (all_4_16 = e1) % 72.30/11.60 (11) ~ (all_4_15 = e4) % 72.30/11.60 (12) ~ (all_4_16 = all_4_17) % 72.30/11.60 (13) all_6_13 = all_4_17 % 72.30/11.60 (14) ~ (all_4_16 = e3) % 72.30/11.60 (15) all_6_3 = all_4_15 % 72.30/11.60 (16) ~ (all_4_17 = e3) % 72.30/11.60 (17) ~ (all_4_17 = e0) % 72.30/11.60 % 72.30/11.60 Begin of proof % 72.30/11.60 | % 72.30/11.60 | BETA: splitting (8) gives: % 72.30/11.60 | % 72.30/11.60 | Case 1: % 72.30/11.60 | | % 72.30/11.60 | | (18) all_6_3 = e4 % 72.30/11.60 | | % 72.30/11.60 | | COMBINE_EQS: (15), (18) imply: % 72.30/11.60 | | (19) all_4_15 = e4 % 72.30/11.60 | | % 72.30/11.60 | | REDUCE: (11), (19) imply: % 72.30/11.60 | | (20) $false % 72.30/11.60 | | % 72.30/11.60 | | CLOSE: (20) is inconsistent. % 72.30/11.60 | | % 72.30/11.60 | Case 2: % 72.30/11.60 | | % 72.30/11.61 | | (21) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0 % 72.30/11.61 | | % 72.30/11.61 | | BETA: splitting (21) gives: % 72.30/11.61 | | % 72.30/11.61 | | Case 1: % 72.30/11.61 | | | % 72.30/11.61 | | | (22) all_6_3 = e2 % 72.30/11.61 | | | % 72.30/11.61 | | | COMBINE_EQS: (15), (22) imply: % 72.30/11.61 | | | (23) all_4_15 = e2 % 72.30/11.61 | | | % 72.30/11.61 | | | REDUCE: (1), (23) imply: % 72.30/11.61 | | | (24) ~ (all_4_16 = e2) % 72.30/11.61 | | | % 72.30/11.61 | | | SIMP: (24) implies: % 72.30/11.61 | | | (25) ~ (all_4_16 = e2) % 72.30/11.61 | | | % 72.30/11.61 | | | REDUCE: (9), (23) imply: % 72.30/11.61 | | | (26) ~ (all_4_17 = e2) % 72.30/11.61 | | | % 72.30/11.61 | | | SIMP: (26) implies: % 72.30/11.61 | | | (27) ~ (all_4_17 = e2) % 72.30/11.61 | | | % 72.30/11.61 | | | BETA: splitting (7) gives: % 72.30/11.61 | | | % 72.30/11.61 | | | Case 1: % 72.30/11.61 | | | | % 72.30/11.61 | | | | (28) all_6_8 = e1 % 72.30/11.61 | | | | % 72.30/11.61 | | | | REF_CLOSE: (6), (10), (28) are inconsistent by sub-proof #181. % 72.30/11.61 | | | | % 72.30/11.61 | | | Case 2: % 72.30/11.61 | | | | % 72.30/11.61 | | | | (29) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0 % 72.30/11.61 | | | | % 72.30/11.61 | | | | BETA: splitting (29) gives: % 72.30/11.61 | | | | % 72.30/11.61 | | | | Case 1: % 72.30/11.61 | | | | | % 72.30/11.61 | | | | | (30) all_6_8 = e4 % 72.30/11.61 | | | | | % 72.30/11.61 | | | | | COMBINE_EQS: (6), (30) imply: % 72.30/11.61 | | | | | (31) all_4_16 = e4 % 72.30/11.61 | | | | | % 72.30/11.61 | | | | | REDUCE: (12), (31) imply: % 72.30/11.61 | | | | | (32) ~ (all_4_17 = e4) % 72.30/11.61 | | | | | % 72.30/11.61 | | | | | SIMP: (32) implies: % 72.30/11.61 | | | | | (33) ~ (all_4_17 = e4) % 72.30/11.61 | | | | | % 72.30/11.61 | | | | | REF_CLOSE: (3), (13), (16), (17), (27), (33) are inconsistent by % 72.30/11.61 | | | | | sub-proof #90. % 72.30/11.61 | | | | | % 72.30/11.61 | | | | Case 2: % 72.30/11.61 | | | | | % 72.30/11.61 | | | | | (34) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0 % 72.30/11.61 | | | | | % 72.30/11.61 | | | | | REF_CLOSE: (4), (6), (14), (25), (34) are inconsistent by sub-proof % 72.30/11.61 | | | | | #199. % 72.30/11.61 | | | | | % 72.30/11.61 | | | | End of split % 72.30/11.61 | | | | % 72.30/11.61 | | | End of split % 72.30/11.61 | | | % 72.30/11.61 | | Case 2: % 72.30/11.61 | | | % 72.30/11.61 | | | (35) all_6_3 = e3 | all_6_3 = e0 % 72.30/11.61 | | | % 72.30/11.61 | | | REF_CLOSE: (2), (5), (15), (35) are inconsistent by sub-proof #197. % 72.30/11.61 | | | % 72.30/11.61 | | End of split % 72.30/11.61 | | % 72.30/11.61 | End of split % 72.30/11.61 | % 72.30/11.61 End of proof % 72.30/11.61 % 72.30/11.61 Sub-proof #14 shows that the following formulas are inconsistent: % 72.30/11.61 ---------------------------------------------------------------- % 72.30/11.61 (1) all_10_10 = all_4_16 % 72.30/11.61 (2) all_10_10 = e1 % 72.30/11.61 (3) ~ (all_4_16 = e1) % 72.30/11.61 % 72.30/11.61 Begin of proof % 72.30/11.61 | % 72.30/11.61 | COMBINE_EQS: (1), (2) imply: % 72.30/11.61 | (4) all_4_16 = e1 % 72.30/11.61 | % 72.30/11.61 | SIMP: (4) implies: % 72.30/11.61 | (5) all_4_16 = e1 % 72.30/11.61 | % 72.30/11.61 | REDUCE: (3), (5) imply: % 72.30/11.61 | (6) $false % 72.30/11.61 | % 72.30/11.61 | CLOSE: (6) is inconsistent. % 72.30/11.61 | % 72.30/11.61 End of proof % 72.30/11.61 % 72.30/11.61 Sub-proof #15 shows that the following formulas are inconsistent: % 72.30/11.61 ---------------------------------------------------------------- % 72.30/11.61 (1) all_10_15 = e4 % 72.30/11.61 (2) all_10_15 = e0 % 72.30/11.61 (3) ~ (e4 = e0) % 72.30/11.61 % 72.30/11.61 Begin of proof % 72.30/11.61 | % 72.30/11.61 | COMBINE_EQS: (1), (2) imply: % 72.30/11.61 | (4) e4 = e0 % 72.30/11.61 | % 72.30/11.61 | SIMP: (4) implies: % 72.30/11.61 | (5) e4 = e0 % 72.30/11.61 | % 72.30/11.61 | REDUCE: (3), (5) imply: % 72.30/11.61 | (6) $false % 72.30/11.61 | % 72.30/11.61 | CLOSE: (6) is inconsistent. % 72.30/11.61 | % 72.30/11.61 End of proof % 72.30/11.61 % 72.30/11.61 Sub-proof #16 shows that the following formulas are inconsistent: % 72.30/11.61 ---------------------------------------------------------------- % 72.30/11.61 (1) op(e1, e3) = e3 % 72.30/11.61 (2) op(e4, e1) = e3 % 72.30/11.61 (3) ~ (e1 = e0) % 72.30/11.61 (4) op(e2, e0) = all_8_42 % 72.30/11.61 (5) op(unit, e2) = e2 % 72.30/11.61 (6) op(e3, e3) = e0 % 72.30/11.61 (7) op(e1, unit) = e1 % 72.30/11.61 (8) op(unit, e1) = e1 % 72.30/11.61 (9) op(unit, e3) = e3 % 72.30/11.61 (10) op(e0, e2) = e3 % 72.30/11.61 (11) ~ (e2 = e1) % 72.30/11.61 (12) op(e0, e3) = e1 % 72.30/11.61 (13) ~ (e2 = e0) % 72.30/11.61 (14) op(e4, e3) = e2 % 72.30/11.61 (15) op(e2, e0) = e2 % 72.30/11.61 (16) op(e4, e3) = all_8_14 % 72.30/11.61 (17) op(e4, e1) = all_8_15 % 72.30/11.61 (18) op(e3, unit) = e3 % 72.30/11.61 (19) op(e3, e3) = all_8_30 % 72.30/11.61 (20) op(e4, e1) = all_8_31 % 72.30/11.61 (21) op(unit, e0) = e0 % 72.30/11.61 (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 72.30/11.61 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 72.30/11.61 (23) unit = e4 | unit = e3 | unit = e2 | unit = e0 % 72.30/11.61 % 72.30/11.61 Begin of proof % 72.30/11.61 | % 72.30/11.61 | GROUND_INST: instantiating (22) with e2, all_8_42, e0, e2, simplifying with % 72.30/11.61 | (4), (15) gives: % 72.30/11.61 | (24) all_8_42 = e2 % 72.30/11.61 | % 72.30/11.61 | GROUND_INST: instantiating (22) with e0, all_8_30, e3, e3, simplifying with % 72.30/11.61 | (6), (19) gives: % 72.30/11.61 | (25) all_8_30 = e0 % 72.30/11.61 | % 72.30/11.61 | GROUND_INST: instantiating (22) with all_8_31, all_8_15, e1, e4, simplifying % 72.30/11.61 | with (17), (20) gives: % 72.30/11.61 | (26) all_8_15 = all_8_31 % 72.30/11.61 | % 72.30/11.61 | GROUND_INST: instantiating (22) with e3, all_8_15, e1, e4, simplifying with % 72.30/11.61 | (2), (17) gives: % 72.30/11.61 | (27) all_8_15 = e3 % 72.30/11.61 | % 72.30/11.61 | GROUND_INST: instantiating (22) with e2, all_8_14, e3, e4, simplifying with % 72.30/11.61 | (14), (16) gives: % 72.30/11.61 | (28) all_8_14 = e2 % 72.30/11.61 | % 72.30/11.61 | COMBINE_EQS: (26), (27) imply: % 72.30/11.61 | (29) all_8_31 = e3 % 72.30/11.61 | % 72.30/11.61 | SIMP: (29) implies: % 72.30/11.61 | (30) all_8_31 = e3 % 72.30/11.61 | % 72.30/11.61 | BETA: splitting (23) gives: % 72.30/11.61 | % 72.30/11.61 | Case 1: % 72.30/11.61 | | % 72.30/11.61 | | (31) unit = e4 % 72.30/11.61 | | % 72.30/11.61 | | REDUCE: (9), (31) imply: % 72.30/11.61 | | (32) op(e4, e3) = e3 % 72.30/11.61 | | % 72.30/11.61 | | REDUCE: (8), (31) imply: % 72.30/11.61 | | (33) op(e4, e1) = e1 % 72.30/11.61 | | % 72.30/11.61 | | GROUND_INST: instantiating (22) with e3, e1, e1, e4, simplifying with (2), % 72.30/11.61 | | (33) gives: % 72.30/11.61 | | (34) e3 = e1 % 72.30/11.61 | | % 72.30/11.61 | | GROUND_INST: instantiating (22) with e2, e3, e3, e4, simplifying with (14), % 72.30/11.61 | | (32) gives: % 72.30/11.61 | | (35) e3 = e2 % 72.30/11.61 | | % 72.30/11.61 | | COMBINE_EQS: (34), (35) imply: % 72.30/11.61 | | (36) e2 = e1 % 72.30/11.61 | | % 72.30/11.61 | | SIMP: (36) implies: % 72.30/11.61 | | (37) e2 = e1 % 72.30/11.61 | | % 72.30/11.61 | | REDUCE: (11), (37) imply: % 72.30/11.61 | | (38) $false % 72.30/11.61 | | % 72.30/11.61 | | CLOSE: (38) is inconsistent. % 72.30/11.61 | | % 72.30/11.61 | Case 2: % 72.30/11.61 | | % 72.30/11.61 | | (39) unit = e3 | unit = e2 | unit = e0 % 72.30/11.61 | | % 72.30/11.61 | | BETA: splitting (39) gives: % 72.30/11.61 | | % 72.30/11.61 | | Case 1: % 72.30/11.61 | | | % 72.30/11.61 | | | (40) unit = e2 % 72.30/11.61 | | | % 72.30/11.61 | | | REDUCE: (21), (40) imply: % 72.30/11.61 | | | (41) op(e2, e0) = e0 % 72.30/11.61 | | | % 72.30/11.61 | | | GROUND_INST: instantiating (22) with e0, e2, e0, e2, simplifying with % 72.30/11.61 | | | (15), (41) gives: % 72.30/11.61 | | | (42) e2 = e0 % 72.30/11.61 | | | % 72.30/11.61 | | | REDUCE: (13), (42) imply: % 72.30/11.61 | | | (43) $false % 72.30/11.61 | | | % 72.30/11.61 | | | CLOSE: (43) is inconsistent. % 72.30/11.61 | | | % 72.30/11.61 | | Case 2: % 72.30/11.61 | | | % 72.30/11.61 | | | (44) unit = e3 | unit = e0 % 72.30/11.61 | | | % 72.30/11.61 | | | BETA: splitting (44) gives: % 72.30/11.61 | | | % 72.30/11.61 | | | Case 1: % 72.30/11.61 | | | | % 72.30/11.61 | | | | (45) unit = e3 % 72.30/11.61 | | | | % 72.30/11.61 | | | | REDUCE: (18), (45) imply: % 72.30/11.61 | | | | (46) op(e3, e3) = e3 % 72.30/11.61 | | | | % 72.30/11.61 | | | | REDUCE: (7), (45) imply: % 72.30/11.61 | | | | (47) op(e1, e3) = e1 % 72.30/11.61 | | | | % 72.30/11.61 | | | | GROUND_INST: instantiating (22) with e3, e1, e3, e1, simplifying with % 72.30/11.61 | | | | (1), (47) gives: % 72.30/11.61 | | | | (48) e3 = e1 % 72.30/11.61 | | | | % 72.30/11.61 | | | | GROUND_INST: instantiating (22) with e0, e3, e3, e3, simplifying with % 72.30/11.61 | | | | (6), (46) gives: % 72.30/11.61 | | | | (49) e3 = e0 % 72.30/11.61 | | | | % 72.30/11.61 | | | | COMBINE_EQS: (48), (49) imply: % 72.30/11.61 | | | | (50) e1 = e0 % 72.30/11.61 | | | | % 72.30/11.61 | | | | REDUCE: (3), (50) imply: % 72.30/11.61 | | | | (51) $false % 72.30/11.61 | | | | % 72.30/11.61 | | | | CLOSE: (51) is inconsistent. % 72.30/11.61 | | | | % 72.30/11.61 | | | Case 2: % 72.30/11.61 | | | | % 72.30/11.61 | | | | (52) unit = e0 % 72.30/11.61 | | | | % 72.30/11.61 | | | | REDUCE: (9), (52) imply: % 72.30/11.61 | | | | (53) op(e0, e3) = e3 % 72.30/11.61 | | | | % 72.30/11.61 | | | | REDUCE: (5), (52) imply: % 72.30/11.61 | | | | (54) op(e0, e2) = e2 % 72.30/11.61 | | | | % 72.30/11.61 | | | | GROUND_INST: instantiating (22) with e3, e2, e2, e0, simplifying with % 72.30/11.61 | | | | (10), (54) gives: % 72.30/11.61 | | | | (55) e3 = e2 % 72.30/11.61 | | | | % 72.30/11.61 | | | | GROUND_INST: instantiating (22) with e1, e3, e3, e0, simplifying with % 72.30/11.61 | | | | (12), (53) gives: % 72.30/11.61 | | | | (56) e3 = e1 % 72.30/11.61 | | | | % 72.30/11.61 | | | | COMBINE_EQS: (55), (56) imply: % 72.30/11.61 | | | | (57) e2 = e1 % 72.30/11.61 | | | | % 72.30/11.61 | | | | REDUCE: (11), (57) imply: % 72.30/11.61 | | | | (58) $false % 72.30/11.61 | | | | % 72.30/11.61 | | | | CLOSE: (58) is inconsistent. % 72.30/11.61 | | | | % 72.30/11.61 | | | End of split % 72.30/11.61 | | | % 72.30/11.61 | | End of split % 72.30/11.61 | | % 72.30/11.61 | End of split % 72.30/11.61 | % 72.30/11.61 End of proof % 72.30/11.61 % 72.30/11.61 Sub-proof #17 shows that the following formulas are inconsistent: % 72.30/11.61 ---------------------------------------------------------------- % 72.30/11.61 (1) all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = all_8_66) % 72.30/11.61 (2) all_8_39 = e3 % 72.30/11.61 (3) ~ (e3 = e0) % 72.30/11.61 % 72.30/11.61 Begin of proof % 72.30/11.61 | % 72.30/11.61 | ALPHA: (1) implies: % 72.30/11.61 | (4) all_8_39 = e0 % 72.30/11.61 | % 72.30/11.61 | COMBINE_EQS: (2), (4) imply: % 72.30/11.61 | (5) e3 = e0 % 72.30/11.61 | % 72.30/11.61 | SIMP: (5) implies: % 72.30/11.61 | (6) e3 = e0 % 72.30/11.61 | % 72.30/11.61 | REDUCE: (3), (6) imply: % 72.30/11.61 | (7) $false % 72.30/11.61 | % 72.30/11.61 | CLOSE: (7) is inconsistent. % 72.30/11.61 | % 72.30/11.61 End of proof % 72.30/11.61 % 72.30/11.61 Sub-proof #18 shows that the following formulas are inconsistent: % 72.30/11.61 ---------------------------------------------------------------- % 72.30/11.61 (1) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 = all_8_68)) | % 72.30/11.61 (all_8_37 = e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = all_8_65)) % 72.30/11.61 (2) all_8_34 = e0 % 72.30/11.61 (3) all_8_37 = e3 % 72.30/11.61 (4) ~ (e3 = e0) % 72.30/11.61 % 72.30/11.61 Begin of proof % 72.30/11.61 | % 72.30/11.61 | BETA: splitting (1) gives: % 72.30/11.61 | % 72.30/11.61 | Case 1: % 72.30/11.61 | | % 72.30/11.61 | | (5) all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 = all_8_68) % 72.30/11.61 | | % 72.30/11.61 | | ALPHA: (5) implies: % 72.30/11.61 | | (6) ~ (all_8_34 = e0) % 72.30/11.61 | | % 72.30/11.61 | | REDUCE: (2), (6) imply: % 72.30/11.61 | | (7) $false % 72.30/11.61 | | % 72.30/11.61 | | CLOSE: (7) is inconsistent. % 72.30/11.61 | | % 72.30/11.61 | Case 2: % 72.30/11.61 | | % 72.30/11.61 | | (8) all_8_37 = e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = all_8_65) % 72.30/11.61 | | % 72.30/11.61 | | REF_CLOSE: (3), (4), (8) are inconsistent by sub-proof #30. % 72.30/11.61 | | % 72.30/11.61 | End of split % 72.30/11.61 | % 72.30/11.61 End of proof % 72.30/11.61 % 72.30/11.61 Sub-proof #19 shows that the following formulas are inconsistent: % 72.30/11.61 ---------------------------------------------------------------- % 72.30/11.61 (1) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 = all_8_62)) | % 72.30/11.61 (all_8_26 = e2 & ~ (all_8_25 = e0) & ~ (all_8_58 = all_8_67)) % 72.30/11.61 (2) all_8_24 = e0 % 72.30/11.61 (3) ~ (e2 = e0) % 72.30/11.61 (4) all_8_25 = e0 % 72.30/11.61 % 72.30/11.61 Begin of proof % 72.30/11.61 | % 72.30/11.61 | BETA: splitting (1) gives: % 72.30/11.61 | % 72.30/11.61 | Case 1: % 72.30/11.61 | | % 72.30/11.61 | | (5) all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 = all_8_62) % 72.30/11.61 | | % 72.30/11.61 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #20. % 72.30/11.61 | | % 72.30/11.61 | Case 2: % 72.30/11.61 | | % 72.30/11.61 | | (6) all_8_26 = e2 & ~ (all_8_25 = e0) & ~ (all_8_58 = all_8_67) % 72.30/11.61 | | % 72.30/11.61 | | ALPHA: (6) implies: % 72.30/11.61 | | (7) ~ (all_8_25 = e0) % 72.30/11.61 | | % 72.30/11.61 | | REDUCE: (4), (7) imply: % 72.30/11.61 | | (8) $false % 72.30/11.61 | | % 72.30/11.61 | | CLOSE: (8) is inconsistent. % 72.30/11.61 | | % 72.30/11.61 | End of split % 72.30/11.61 | % 72.30/11.61 End of proof % 72.30/11.61 % 72.30/11.61 Sub-proof #20 shows that the following formulas are inconsistent: % 72.30/11.61 ---------------------------------------------------------------- % 72.30/11.61 (1) all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 = all_8_62) % 72.30/11.61 (2) all_8_24 = e0 % 72.30/11.61 (3) ~ (e2 = e0) % 72.30/11.61 % 72.30/11.61 Begin of proof % 72.30/11.61 | % 72.30/11.61 | ALPHA: (1) implies: % 72.30/11.61 | (4) all_8_24 = e2 % 72.30/11.61 | % 72.30/11.61 | COMBINE_EQS: (2), (4) imply: % 72.30/11.61 | (5) e2 = e0 % 72.30/11.61 | % 72.30/11.61 | SIMP: (5) implies: % 72.30/11.61 | (6) e2 = e0 % 72.30/11.61 | % 72.30/11.61 | REDUCE: (3), (6) imply: % 72.30/11.61 | (7) $false % 72.30/11.61 | % 72.30/11.61 | CLOSE: (7) is inconsistent. % 72.30/11.61 | % 72.30/11.61 End of proof % 72.30/11.61 % 72.30/11.61 Sub-proof #21 shows that the following formulas are inconsistent: % 72.30/11.61 ---------------------------------------------------------------- % 72.30/11.61 (1) all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 = all_8_61) % 72.30/11.61 (2) all_8_15 = e2 % 72.30/11.61 (3) ~ (e3 = e2) % 72.30/11.61 % 72.30/11.61 Begin of proof % 72.30/11.61 | % 72.30/11.61 | ALPHA: (1) implies: % 72.30/11.61 | (4) all_8_15 = e3 % 72.30/11.61 | % 72.30/11.61 | COMBINE_EQS: (2), (4) imply: % 72.30/11.61 | (5) e3 = e2 % 72.30/11.61 | % 72.30/11.61 | SIMP: (5) implies: % 72.30/11.61 | (6) e3 = e2 % 72.30/11.61 | % 72.30/11.61 | REDUCE: (3), (6) imply: % 72.30/11.61 | (7) $false % 72.30/11.61 | % 72.30/11.61 | CLOSE: (7) is inconsistent. % 72.30/11.61 | % 72.30/11.61 End of proof % 72.30/11.61 % 72.30/11.61 Sub-proof #22 shows that the following formulas are inconsistent: % 72.30/11.61 ---------------------------------------------------------------- % 72.30/11.61 (1) (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = all_8_65)) | (all_8_10 % 72.30/11.61 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 72.30/11.61 (2) all_8_7 = e0 % 72.30/11.61 (3) all_8_10 = e4 % 72.30/11.61 (4) ~ (e4 = e3) % 72.30/11.61 % 72.30/11.61 Begin of proof % 72.30/11.61 | % 72.30/11.61 | BETA: splitting (1) gives: % 72.30/11.61 | % 72.30/11.61 | Case 1: % 72.30/11.61 | | % 72.30/11.61 | | (5) all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = all_8_65) % 72.30/11.61 | | % 72.30/11.61 | | ALPHA: (5) implies: % 72.30/11.61 | | (6) ~ (all_8_7 = e0) % 72.30/11.61 | | % 72.30/11.61 | | REDUCE: (2), (6) imply: % 72.30/11.61 | | (7) $false % 72.30/11.61 | | % 72.30/11.61 | | CLOSE: (7) is inconsistent. % 72.30/11.61 | | % 72.30/11.61 | Case 2: % 72.30/11.61 | | % 72.30/11.61 | | (8) all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50) % 72.30/11.61 | | % 72.30/11.61 | | ALPHA: (8) implies: % 72.30/11.61 | | (9) all_8_10 = e3 % 72.30/11.61 | | % 72.30/11.61 | | COMBINE_EQS: (3), (9) imply: % 72.30/11.61 | | (10) e4 = e3 % 72.30/11.61 | | % 72.30/11.61 | | REDUCE: (4), (10) imply: % 72.30/11.61 | | (11) $false % 72.30/11.61 | | % 72.30/11.61 | | CLOSE: (11) is inconsistent. % 72.30/11.61 | | % 72.30/11.61 | End of split % 72.30/11.61 | % 72.30/11.61 End of proof % 72.30/11.61 % 72.30/11.61 Sub-proof #23 shows that the following formulas are inconsistent: % 72.30/11.61 ---------------------------------------------------------------- % 72.30/11.61 (1) all_10_12 = e4 % 72.30/11.61 (2) all_10_12 = e2 % 72.30/11.61 (3) ~ (e4 = e2) % 72.30/11.61 % 72.30/11.61 Begin of proof % 72.30/11.61 | % 72.30/11.61 | COMBINE_EQS: (1), (2) imply: % 72.30/11.61 | (4) e4 = e2 % 72.30/11.61 | % 72.30/11.61 | SIMP: (4) implies: % 72.30/11.61 | (5) e4 = e2 % 72.30/11.61 | % 72.30/11.61 | REDUCE: (3), (5) imply: % 72.30/11.61 | (6) $false % 72.30/11.61 | % 72.30/11.61 | CLOSE: (6) is inconsistent. % 72.30/11.61 | % 72.30/11.61 End of proof % 72.30/11.61 % 72.30/11.61 Sub-proof #24 shows that the following formulas are inconsistent: % 72.30/11.61 ---------------------------------------------------------------- % 72.30/11.61 (1) all_10_3 = e1 % 72.30/11.61 (2) all_10_3 = e0 % 72.30/11.61 (3) ~ (e1 = e0) % 72.30/11.61 % 72.30/11.61 Begin of proof % 72.30/11.61 | % 72.30/11.61 | COMBINE_EQS: (1), (2) imply: % 72.30/11.61 | (4) e1 = e0 % 72.30/11.61 | % 72.30/11.61 | SIMP: (4) implies: % 72.30/11.61 | (5) e1 = e0 % 72.30/11.61 | % 72.30/11.61 | REDUCE: (3), (5) imply: % 72.30/11.61 | (6) $false % 72.30/11.61 | % 72.30/11.61 | CLOSE: (6) is inconsistent. % 72.30/11.61 | % 72.30/11.61 End of proof % 72.30/11.61 % 72.30/11.61 Sub-proof #25 shows that the following formulas are inconsistent: % 72.30/11.61 ---------------------------------------------------------------- % 72.30/11.61 (1) all_10_9 = all_4_15 % 72.30/11.61 (2) ~ (all_4_15 = e0) % 72.30/11.61 (3) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0 % 72.30/11.61 (4) ~ (all_4_5 = e4) % 72.30/11.61 (5) ~ (all_4_5 = e0) % 72.30/11.61 (6) ~ (all_4_5 = e2) % 72.30/11.61 (7) ~ (all_4_5 = all_4_15) % 72.30/11.61 (8) all_10_9 = e3 | all_10_10 = e3 | all_10_11 = e3 | all_10_15 = e3 | % 72.30/11.61 all_10_23 = e3 % 72.30/11.61 (9) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0 % 72.30/11.61 (10) all_6_1 = all_4_5 % 72.30/11.61 (11) ~ (all_4_15 = e4) % 72.30/11.61 (12) all_6_3 = all_4_15 % 72.30/11.61 (13) ~ (all_4_15 = e2) % 72.30/11.61 % 72.30/11.61 Begin of proof % 72.30/11.61 | % 72.30/11.61 | BETA: splitting (8) gives: % 72.30/11.61 | % 72.30/11.61 | Case 1: % 72.30/11.61 | | % 72.30/11.61 | | (14) all_10_9 = e3 % 72.30/11.61 | | % 72.30/11.61 | | COMBINE_EQS: (1), (14) imply: % 72.30/11.61 | | (15) all_4_15 = e3 % 72.30/11.61 | | % 72.30/11.61 | | SIMP: (15) implies: % 72.30/11.61 | | (16) all_4_15 = e3 % 72.30/11.61 | | % 72.30/11.61 | | REDUCE: (7), (16) imply: % 72.30/11.61 | | (17) ~ (all_4_5 = e3) % 72.30/11.61 | | % 72.30/11.61 | | REF_CLOSE: (3), (4), (5), (6), (10), (17) are inconsistent by sub-proof #26. % 72.30/11.61 | | % 72.30/11.61 | Case 2: % 72.30/11.61 | | % 72.30/11.61 | | (18) ~ (all_10_9 = e3) % 72.30/11.61 | | % 72.30/11.61 | | REDUCE: (1), (18) imply: % 72.30/11.61 | | (19) ~ (all_4_15 = e3) % 72.30/11.61 | | % 72.30/11.61 | | REF_CLOSE: (2), (9), (11), (12), (13), (19) are inconsistent by sub-proof % 72.30/11.61 | | #27. % 72.30/11.61 | | % 72.30/11.61 | End of split % 72.30/11.61 | % 72.30/11.62 End of proof % 72.30/11.62 % 72.30/11.62 Sub-proof #26 shows that the following formulas are inconsistent: % 72.30/11.62 ---------------------------------------------------------------- % 72.30/11.62 (1) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0 % 72.30/11.62 (2) ~ (all_4_5 = e4) % 72.30/11.62 (3) ~ (all_4_5 = e0) % 72.30/11.62 (4) ~ (all_4_5 = e3) % 72.30/11.62 (5) ~ (all_4_5 = e2) % 72.30/11.62 (6) all_6_1 = all_4_5 % 72.30/11.62 % 72.30/11.62 Begin of proof % 72.30/11.62 | % 72.30/11.62 | BETA: splitting (1) gives: % 72.30/11.62 | % 72.30/11.62 | Case 1: % 72.30/11.62 | | % 72.30/11.62 | | (7) all_6_1 = e4 % 72.30/11.62 | | % 72.30/11.62 | | COMBINE_EQS: (6), (7) imply: % 72.30/11.62 | | (8) all_4_5 = e4 % 72.30/11.62 | | % 72.30/11.62 | | REDUCE: (2), (8) imply: % 72.30/11.62 | | (9) $false % 72.30/11.62 | | % 72.30/11.62 | | CLOSE: (9) is inconsistent. % 72.30/11.62 | | % 72.30/11.62 | Case 2: % 72.30/11.62 | | % 72.30/11.62 | | (10) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0 % 72.30/11.62 | | % 72.30/11.62 | | REF_CLOSE: (3), (4), (5), (6), (10) are inconsistent by sub-proof #77. % 72.30/11.62 | | % 72.30/11.62 | End of split % 72.30/11.62 | % 72.30/11.62 End of proof % 72.30/11.62 % 72.30/11.62 Sub-proof #27 shows that the following formulas are inconsistent: % 72.30/11.62 ---------------------------------------------------------------- % 72.30/11.62 (1) ~ (all_4_15 = e0) % 72.30/11.62 (2) ~ (all_4_15 = e3) % 72.30/11.62 (3) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0 % 72.30/11.62 (4) ~ (all_4_15 = e4) % 72.30/11.62 (5) all_6_3 = all_4_15 % 72.30/11.62 (6) ~ (all_4_15 = e2) % 72.30/11.62 % 72.30/11.62 Begin of proof % 72.30/11.62 | % 72.30/11.62 | BETA: splitting (3) gives: % 72.30/11.62 | % 72.30/11.62 | Case 1: % 72.30/11.62 | | % 72.30/11.62 | | (7) all_6_3 = e4 % 72.30/11.62 | | % 72.30/11.62 | | COMBINE_EQS: (5), (7) imply: % 72.30/11.62 | | (8) all_4_15 = e4 % 72.30/11.62 | | % 72.30/11.62 | | REDUCE: (4), (8) imply: % 72.30/11.62 | | (9) $false % 72.30/11.62 | | % 72.30/11.62 | | CLOSE: (9) is inconsistent. % 72.30/11.62 | | % 72.30/11.62 | Case 2: % 72.30/11.62 | | % 72.30/11.62 | | (10) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0 % 72.30/11.62 | | % 72.30/11.62 | | REF_CLOSE: (1), (2), (5), (6), (10) are inconsistent by sub-proof #196. % 72.30/11.62 | | % 72.30/11.62 | End of split % 72.30/11.62 | % 72.30/11.62 End of proof % 72.30/11.62 % 72.30/11.62 Sub-proof #28 shows that the following formulas are inconsistent: % 72.30/11.62 ---------------------------------------------------------------- % 72.30/11.62 (1) all_8_63 = e1 % 72.30/11.62 (2) all_8_53 = e3 % 72.30/11.62 (3) all_8_58 = e2 % 72.30/11.62 (4) (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = all_8_66)) | % 72.30/11.62 (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = all_8_67)) | % 72.30/11.62 (all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = all_8_68)) % 72.30/11.62 (5) all_8_66 = e3 % 72.30/11.62 (6) all_8_68 = e1 % 72.30/11.62 (7) all_8_67 = e2 % 72.30/11.62 % 72.30/11.62 Begin of proof % 72.30/11.62 | % 72.30/11.62 | BETA: splitting (4) gives: % 72.30/11.62 | % 72.30/11.62 | Case 1: % 72.30/11.62 | | % 72.30/11.62 | | (8) all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = all_8_66) % 72.30/11.62 | | % 72.30/11.62 | | ALPHA: (8) implies: % 72.30/11.62 | | (9) ~ (all_8_53 = all_8_66) % 72.30/11.62 | | % 72.30/11.62 | | REDUCE: (2), (5), (9) imply: % 72.30/11.62 | | (10) $false % 72.30/11.62 | | % 72.30/11.62 | | CLOSE: (10) is inconsistent. % 72.30/11.62 | | % 72.30/11.62 | Case 2: % 72.30/11.62 | | % 72.30/11.62 | | (11) (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = all_8_67)) | % 72.30/11.62 | | (all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = all_8_68)) % 72.30/11.62 | | % 72.30/11.62 | | REF_CLOSE: (1), (3), (6), (7), (11) are inconsistent by sub-proof #62. % 72.30/11.62 | | % 72.30/11.62 | End of split % 72.30/11.62 | % 72.30/11.62 End of proof % 72.30/11.62 % 72.30/11.62 Sub-proof #29 shows that the following formulas are inconsistent: % 72.30/11.62 ---------------------------------------------------------------- % 72.30/11.62 (1) ~ (all_4_8 = e2) % 72.30/11.62 (2) ~ (all_4_8 = e4) % 72.30/11.62 (3) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 72.30/11.62 (4) ~ (all_4_9 = e0) % 72.30/11.62 (5) all_6_21 = all_4_9 % 72.30/11.62 (6) ~ (all_4_9 = e2) % 72.30/11.62 (7) ~ (all_4_8 = all_4_9) % 72.30/11.62 (8) ~ (all_4_8 = e0) % 72.30/11.62 (9) all_6_16 = all_4_8 % 72.30/11.62 (10) ~ (all_4_9 = e4) % 72.30/11.62 (11) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0 % 72.30/11.62 % 72.30/11.62 Begin of proof % 72.30/11.62 | % 72.30/11.62 | BETA: splitting (3) gives: % 72.30/11.62 | % 72.30/11.62 | Case 1: % 72.30/11.62 | | % 72.30/11.62 | | (12) all_6_16 = e4 % 72.30/11.62 | | % 72.30/11.62 | | REF_CLOSE: (2), (9), (12) are inconsistent by sub-proof #54. % 72.30/11.62 | | % 72.30/11.62 | Case 2: % 72.30/11.62 | | % 72.30/11.62 | | (13) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 72.30/11.62 | | % 72.30/11.62 | | BETA: splitting (13) gives: % 72.30/11.62 | | % 72.30/11.62 | | Case 1: % 72.30/11.62 | | | % 72.30/11.62 | | | (14) all_6_16 = e2 % 72.30/11.62 | | | % 72.30/11.62 | | | REF_CLOSE: (1), (9), (14) are inconsistent by sub-proof #178. % 72.30/11.62 | | | % 72.30/11.62 | | Case 2: % 72.30/11.62 | | | % 72.30/11.62 | | | (15) all_6_16 = e3 | all_6_16 = e0 % 72.30/11.62 | | | % 72.30/11.62 | | | BETA: splitting (15) gives: % 72.30/11.62 | | | % 72.30/11.62 | | | Case 1: % 72.30/11.62 | | | | % 72.30/11.62 | | | | (16) all_6_16 = e3 % 72.30/11.62 | | | | % 72.30/11.62 | | | | COMBINE_EQS: (9), (16) imply: % 72.30/11.62 | | | | (17) all_4_8 = e3 % 72.30/11.62 | | | | % 72.30/11.62 | | | | SIMP: (17) implies: % 72.30/11.62 | | | | (18) all_4_8 = e3 % 72.30/11.62 | | | | % 72.30/11.62 | | | | REDUCE: (7), (18) imply: % 72.30/11.62 | | | | (19) ~ (all_4_9 = e3) % 72.30/11.62 | | | | % 72.30/11.62 | | | | SIMP: (19) implies: % 72.30/11.62 | | | | (20) ~ (all_4_9 = e3) % 72.30/11.62 | | | | % 72.30/11.62 | | | | BETA: splitting (11) gives: % 72.30/11.62 | | | | % 72.30/11.62 | | | | Case 1: % 72.30/11.62 | | | | | % 72.30/11.62 | | | | | (21) all_6_21 = e4 % 72.30/11.62 | | | | | % 72.30/11.62 | | | | | COMBINE_EQS: (5), (21) imply: % 72.30/11.62 | | | | | (22) all_4_9 = e4 % 72.30/11.62 | | | | | % 72.30/11.62 | | | | | REDUCE: (10), (22) imply: % 72.30/11.62 | | | | | (23) $false % 72.30/11.62 | | | | | % 72.30/11.62 | | | | | CLOSE: (23) is inconsistent. % 72.30/11.62 | | | | | % 72.30/11.62 | | | | Case 2: % 72.30/11.62 | | | | | % 72.30/11.62 | | | | | (24) all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0 % 72.30/11.62 | | | | | % 72.30/11.62 | | | | | REF_CLOSE: (4), (5), (6), (20), (24) are inconsistent by sub-proof % 72.30/11.62 | | | | | #96. % 72.30/11.62 | | | | | % 72.30/11.62 | | | | End of split % 72.30/11.62 | | | | % 72.30/11.62 | | | Case 2: % 72.30/11.62 | | | | % 72.30/11.62 | | | | (25) all_6_16 = e0 % 72.30/11.62 | | | | % 72.30/11.62 | | | | REF_CLOSE: (8), (9), (25) are inconsistent by sub-proof #177. % 72.30/11.62 | | | | % 72.30/11.62 | | | End of split % 72.30/11.62 | | | % 72.30/11.62 | | End of split % 72.30/11.62 | | % 72.30/11.62 | End of split % 72.30/11.62 | % 72.30/11.62 End of proof % 72.30/11.62 % 72.30/11.62 Sub-proof #30 shows that the following formulas are inconsistent: % 72.30/11.62 ---------------------------------------------------------------- % 72.30/11.62 (1) all_8_37 = e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = all_8_65) % 72.30/11.62 (2) all_8_37 = e3 % 72.30/11.62 (3) ~ (e3 = e0) % 72.30/11.62 % 72.30/11.62 Begin of proof % 72.30/11.62 | % 72.30/11.62 | ALPHA: (1) implies: % 72.30/11.62 | (4) all_8_37 = e0 % 72.30/11.62 | % 72.30/11.62 | COMBINE_EQS: (2), (4) imply: % 72.30/11.62 | (5) e3 = e0 % 72.30/11.62 | % 72.30/11.62 | SIMP: (5) implies: % 72.30/11.62 | (6) e3 = e0 % 72.30/11.62 | % 72.30/11.62 | REDUCE: (3), (6) imply: % 72.30/11.62 | (7) $false % 72.30/11.62 | % 72.30/11.62 | CLOSE: (7) is inconsistent. % 72.30/11.62 | % 72.30/11.62 End of proof % 72.30/11.62 % 72.30/11.62 Sub-proof #31 shows that the following formulas are inconsistent: % 72.30/11.62 ---------------------------------------------------------------- % 72.30/11.62 (1) ~ (e1 = e0) % 72.30/11.62 (2) all_8_28 = e0 % 72.30/11.62 (3) all_8_30 = e0 % 72.30/11.62 (4) all_8_32 = e0 % 72.30/11.62 (5) (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = all_8_60)) | % 72.30/11.62 (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 = all_8_61)) | % 72.30/11.62 (all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = all_8_62)) % 72.30/11.62 % 72.30/11.62 Begin of proof % 72.30/11.62 | % 72.30/11.62 | BETA: splitting (5) gives: % 72.30/11.62 | % 72.30/11.62 | Case 1: % 72.30/11.62 | | % 72.30/11.62 | | (6) all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = all_8_60) % 72.30/11.62 | | % 72.30/11.62 | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #32. % 72.30/11.62 | | % 72.30/11.62 | Case 2: % 72.30/11.62 | | % 72.30/11.62 | | (7) (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 = all_8_61)) | % 72.30/11.62 | | (all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = all_8_62)) % 72.30/11.62 | | % 72.30/11.62 | | BETA: splitting (7) gives: % 72.30/11.62 | | % 72.30/11.62 | | Case 1: % 72.30/11.62 | | | % 72.30/11.62 | | | (8) all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 = all_8_61) % 72.30/11.62 | | | % 72.30/11.62 | | | ALPHA: (8) implies: % 72.30/11.62 | | | (9) all_8_30 = e1 % 72.30/11.62 | | | % 72.30/11.62 | | | COMBINE_EQS: (3), (9) imply: % 72.30/11.62 | | | (10) e1 = e0 % 72.30/11.62 | | | % 72.30/11.62 | | | REDUCE: (1), (10) imply: % 72.30/11.62 | | | (11) $false % 72.30/11.62 | | | % 72.30/11.62 | | | CLOSE: (11) is inconsistent. % 72.30/11.62 | | | % 72.30/11.62 | | Case 2: % 72.30/11.62 | | | % 72.30/11.62 | | | (12) all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = all_8_62) % 72.30/11.62 | | | % 72.30/11.62 | | | ALPHA: (12) implies: % 72.30/11.62 | | | (13) all_8_32 = e1 % 72.30/11.62 | | | % 72.30/11.62 | | | COMBINE_EQS: (4), (13) imply: % 72.30/11.62 | | | (14) e1 = e0 % 72.30/11.62 | | | % 72.30/11.62 | | | REDUCE: (1), (14) imply: % 72.30/11.62 | | | (15) $false % 72.30/11.62 | | | % 72.30/11.62 | | | CLOSE: (15) is inconsistent. % 72.30/11.62 | | | % 72.30/11.62 | | End of split % 72.30/11.62 | | % 72.30/11.62 | End of split % 72.30/11.62 | % 72.30/11.62 End of proof % 72.30/11.62 % 72.30/11.62 Sub-proof #32 shows that the following formulas are inconsistent: % 72.30/11.62 ---------------------------------------------------------------- % 72.30/11.62 (1) all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = all_8_60) % 72.30/11.62 (2) all_8_28 = e0 % 72.30/11.62 (3) ~ (e1 = e0) % 72.30/11.62 % 72.30/11.62 Begin of proof % 72.30/11.62 | % 72.30/11.62 | ALPHA: (1) implies: % 72.30/11.62 | (4) all_8_28 = e1 % 72.30/11.62 | % 72.30/11.62 | COMBINE_EQS: (2), (4) imply: % 72.30/11.62 | (5) e1 = e0 % 72.30/11.62 | % 72.30/11.62 | SIMP: (5) implies: % 72.30/11.62 | (6) e1 = e0 % 72.30/11.62 | % 72.30/11.62 | REDUCE: (3), (6) imply: % 72.30/11.62 | (7) $false % 72.30/11.62 | % 72.30/11.62 | CLOSE: (7) is inconsistent. % 72.30/11.62 | % 72.30/11.62 End of proof % 72.30/11.62 % 72.30/11.62 Sub-proof #33 shows that the following formulas are inconsistent: % 72.30/11.62 ---------------------------------------------------------------- % 72.30/11.62 (1) all_8_19 = e1 % 72.30/11.62 (2) ~ (e2 = e1) % 72.30/11.62 (3) all_8_21 = e3 % 72.30/11.62 (4) (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = all_8_66)) | % 72.30/11.62 (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 = all_8_55)) | % 72.30/11.62 (all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = all_8_56)) % 72.30/11.62 (5) ~ (e3 = e2) % 72.30/11.62 (6) all_8_16 = e0 % 72.30/11.62 % 72.30/11.62 Begin of proof % 72.30/11.62 | % 72.30/11.62 | BETA: splitting (4) gives: % 72.30/11.62 | % 72.30/11.62 | Case 1: % 72.30/11.62 | | % 72.30/11.62 | | (7) all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = all_8_66) % 72.30/11.62 | | % 72.30/11.62 | | ALPHA: (7) implies: % 72.30/11.62 | | (8) ~ (all_8_16 = e0) % 72.30/11.62 | | % 72.30/11.62 | | REDUCE: (6), (8) imply: % 72.30/11.62 | | (9) $false % 72.30/11.62 | | % 72.30/11.62 | | CLOSE: (9) is inconsistent. % 72.30/11.62 | | % 72.30/11.62 | Case 2: % 72.30/11.62 | | % 72.30/11.62 | | (10) (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 = all_8_55)) | % 72.30/11.62 | | (all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = all_8_56)) % 72.30/11.62 | | % 72.30/11.62 | | BETA: splitting (10) gives: % 72.30/11.62 | | % 72.30/11.62 | | Case 1: % 72.30/11.62 | | | % 72.30/11.62 | | | (11) all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 = all_8_55) % 72.30/11.62 | | | % 72.30/11.62 | | | REF_CLOSE: (1), (2), (11) are inconsistent by sub-proof #147. % 72.30/11.62 | | | % 72.30/11.62 | | Case 2: % 72.30/11.62 | | | % 72.30/11.62 | | | (12) all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = all_8_56) % 72.30/11.62 | | | % 72.30/11.62 | | | REF_CLOSE: (3), (5), (12) are inconsistent by sub-proof #98. % 72.30/11.62 | | | % 72.30/11.62 | | End of split % 72.30/11.62 | | % 72.30/11.62 | End of split % 72.30/11.62 | % 72.30/11.62 End of proof % 72.30/11.62 % 72.30/11.62 Sub-proof #34 shows that the following formulas are inconsistent: % 72.30/11.62 ---------------------------------------------------------------- % 72.30/11.62 (1) all_6_22 = all_4_14 % 72.30/11.62 (2) all_6_22 = e2 % 72.30/11.62 (3) ~ (all_4_14 = e2) % 72.30/11.62 % 72.30/11.62 Begin of proof % 72.30/11.62 | % 72.30/11.62 | COMBINE_EQS: (1), (2) imply: % 72.30/11.62 | (4) all_4_14 = e2 % 72.30/11.62 | % 72.30/11.62 | SIMP: (4) implies: % 72.30/11.62 | (5) all_4_14 = e2 % 72.30/11.62 | % 72.30/11.62 | REDUCE: (3), (5) imply: % 72.30/11.62 | (6) $false % 72.30/11.62 | % 72.30/11.62 | CLOSE: (6) is inconsistent. % 72.30/11.62 | % 72.30/11.62 End of proof % 72.30/11.62 % 72.30/11.62 Sub-proof #35 shows that the following formulas are inconsistent: % 72.30/11.62 ---------------------------------------------------------------- % 72.30/11.62 (1) all_6_22 = all_4_14 % 72.30/11.62 (2) all_6_22 = e4 % 72.30/11.62 (3) ~ (all_4_14 = e4) % 72.30/11.62 % 72.30/11.62 Begin of proof % 72.30/11.62 | % 72.30/11.62 | COMBINE_EQS: (1), (2) imply: % 72.30/11.62 | (4) all_4_14 = e4 % 72.30/11.62 | % 72.30/11.62 | SIMP: (4) implies: % 72.30/11.62 | (5) all_4_14 = e4 % 72.30/11.62 | % 72.30/11.62 | REDUCE: (3), (5) imply: % 72.30/11.62 | (6) $false % 72.30/11.62 | % 72.30/11.62 | CLOSE: (6) is inconsistent. % 72.30/11.62 | % 72.30/11.62 End of proof % 72.30/11.62 % 72.30/11.62 Sub-proof #36 shows that the following formulas are inconsistent: % 72.30/11.62 ---------------------------------------------------------------- % 72.30/11.62 (1) all_10_4 = e2 % 72.30/11.62 (2) all_10_4 = e1 % 72.30/11.62 (3) ~ (e2 = e1) % 72.30/11.62 % 72.30/11.62 Begin of proof % 72.30/11.62 | % 72.30/11.62 | COMBINE_EQS: (1), (2) imply: % 72.30/11.62 | (4) e2 = e1 % 72.30/11.62 | % 72.30/11.62 | SIMP: (4) implies: % 72.30/11.62 | (5) e2 = e1 % 72.30/11.62 | % 72.30/11.62 | REDUCE: (3), (5) imply: % 72.30/11.62 | (6) $false % 72.30/11.62 | % 72.30/11.62 | CLOSE: (6) is inconsistent. % 72.30/11.62 | % 72.30/11.62 End of proof % 72.30/11.62 % 72.30/11.62 Sub-proof #37 shows that the following formulas are inconsistent: % 72.30/11.62 ---------------------------------------------------------------- % 72.30/11.62 (1) all_10_22 = all_4_14 % 72.30/11.62 (2) all_10_22 = e1 % 72.30/11.62 (3) ~ (all_4_14 = e1) % 72.30/11.62 % 72.30/11.62 Begin of proof % 72.30/11.62 | % 72.30/11.62 | COMBINE_EQS: (1), (2) imply: % 72.30/11.62 | (4) all_4_14 = e1 % 72.30/11.62 | % 72.30/11.62 | SIMP: (4) implies: % 72.30/11.62 | (5) all_4_14 = e1 % 72.30/11.62 | % 72.30/11.62 | REDUCE: (3), (5) imply: % 72.30/11.62 | (6) $false % 72.30/11.62 | % 72.30/11.62 | CLOSE: (6) is inconsistent. % 72.30/11.62 | % 72.30/11.62 End of proof % 72.30/11.62 % 72.30/11.62 Sub-proof #38 shows that the following formulas are inconsistent: % 72.30/11.62 ---------------------------------------------------------------- % 72.30/11.62 (1) all_10_9 = all_4_15 % 72.30/11.62 (2) ~ (all_4_15 = e3) % 72.30/11.62 (3) all_10_4 = e3 | all_10_9 = e3 | all_10_16 = e3 % 72.30/11.62 (4) ~ (e3 = e1) % 72.30/11.62 (5) ~ (e4 = e3) % 72.30/11.62 (6) all_10_16 = e4 % 72.30/11.62 (7) all_10_4 = e1 % 72.30/11.62 % 72.30/11.62 Begin of proof % 72.30/11.62 | % 72.30/11.62 | BETA: splitting (3) gives: % 72.30/11.62 | % 72.30/11.62 | Case 1: % 72.30/11.62 | | % 72.30/11.62 | | (8) all_10_4 = e3 % 72.30/11.62 | | % 72.30/11.62 | | COMBINE_EQS: (7), (8) imply: % 72.30/11.62 | | (9) e3 = e1 % 72.30/11.62 | | % 72.30/11.62 | | REDUCE: (4), (9) imply: % 72.30/11.62 | | (10) $false % 72.30/11.62 | | % 72.30/11.62 | | CLOSE: (10) is inconsistent. % 72.30/11.62 | | % 72.30/11.62 | Case 2: % 72.30/11.62 | | % 72.30/11.62 | | (11) all_10_9 = e3 | all_10_16 = e3 % 72.30/11.62 | | % 72.30/11.62 | | BETA: splitting (11) gives: % 72.30/11.62 | | % 72.30/11.62 | | Case 1: % 72.30/11.62 | | | % 72.30/11.62 | | | (12) all_10_9 = e3 % 72.30/11.62 | | | % 72.30/11.62 | | | COMBINE_EQS: (1), (12) imply: % 72.30/11.62 | | | (13) all_4_15 = e3 % 72.30/11.62 | | | % 72.30/11.62 | | | SIMP: (13) implies: % 72.30/11.62 | | | (14) all_4_15 = e3 % 72.30/11.62 | | | % 72.30/11.62 | | | REDUCE: (2), (14) imply: % 72.30/11.62 | | | (15) $false % 72.30/11.62 | | | % 72.30/11.62 | | | CLOSE: (15) is inconsistent. % 72.30/11.62 | | | % 72.30/11.62 | | Case 2: % 72.30/11.62 | | | % 72.30/11.62 | | | (16) all_10_16 = e3 % 72.30/11.62 | | | % 72.30/11.62 | | | COMBINE_EQS: (6), (16) imply: % 72.30/11.62 | | | (17) e4 = e3 % 72.30/11.62 | | | % 72.30/11.62 | | | REDUCE: (5), (17) imply: % 72.30/11.62 | | | (18) $false % 72.30/11.62 | | | % 72.30/11.62 | | | CLOSE: (18) is inconsistent. % 72.30/11.62 | | | % 72.30/11.62 | | End of split % 72.30/11.62 | | % 72.30/11.62 | End of split % 72.30/11.62 | % 72.30/11.62 End of proof % 72.30/11.62 % 72.30/11.62 Sub-proof #39 shows that the following formulas are inconsistent: % 72.30/11.62 ---------------------------------------------------------------- % 72.30/11.62 (1) all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0 % 72.30/11.62 (2) all_6_15 = all_4_3 % 72.30/11.62 (3) ~ (all_4_8 = e4) % 72.30/11.62 (4) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 72.30/11.62 (5) ~ (all_4_3 = e3) % 72.30/11.62 (6) ~ (all_4_3 = all_4_8) % 72.30/11.62 (7) ~ (all_4_8 = e0) % 72.30/11.62 (8) all_6_16 = all_4_8 % 72.30/11.62 (9) ~ (all_4_3 = e0) % 72.30/11.62 (10) ~ (all_4_8 = e3) % 72.30/11.62 % 72.30/11.62 Begin of proof % 72.30/11.62 | % 72.30/11.62 | BETA: splitting (1) gives: % 72.30/11.62 | % 72.30/11.62 | Case 1: % 72.30/11.62 | | % 72.30/11.62 | | (11) all_6_15 = e2 % 72.30/11.62 | | % 72.30/11.62 | | COMBINE_EQS: (2), (11) imply: % 72.30/11.62 | | (12) all_4_3 = e2 % 72.30/11.62 | | % 72.30/11.62 | | REF_CLOSE: (3), (4), (6), (7), (8), (10), (12) are inconsistent by sub-proof % 72.30/11.62 | | #173. % 72.30/11.62 | | % 72.30/11.62 | Case 2: % 72.30/11.62 | | % 72.30/11.62 | | (13) all_6_15 = e3 | all_6_15 = e0 % 72.30/11.62 | | % 72.30/11.62 | | REF_CLOSE: (2), (5), (9), (13) are inconsistent by sub-proof #229. % 72.30/11.62 | | % 72.30/11.62 | End of split % 72.30/11.62 | % 72.30/11.62 End of proof % 72.30/11.62 % 72.30/11.62 Sub-proof #40 shows that the following formulas are inconsistent: % 72.30/11.62 ---------------------------------------------------------------- % 72.30/11.62 (1) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = all_8_50) % 72.30/11.62 (2) all_8_2 = e0 % 72.30/11.62 (3) ~ (e4 = e0) % 72.30/11.62 % 72.30/11.62 Begin of proof % 72.30/11.62 | % 72.30/11.62 | ALPHA: (1) implies: % 72.30/11.62 | (4) all_8_2 = e4 % 72.30/11.62 | % 72.30/11.62 | COMBINE_EQS: (2), (4) imply: % 72.30/11.62 | (5) e4 = e0 % 72.30/11.62 | % 72.30/11.62 | SIMP: (5) implies: % 72.30/11.62 | (6) e4 = e0 % 72.30/11.62 | % 72.30/11.62 | REDUCE: (3), (6) imply: % 72.30/11.62 | (7) $false % 72.30/11.62 | % 72.30/11.62 | CLOSE: (7) is inconsistent. % 72.30/11.62 | % 72.30/11.62 End of proof % 72.30/11.62 % 72.30/11.62 Sub-proof #41 shows that the following formulas are inconsistent: % 72.30/11.62 ---------------------------------------------------------------- % 72.30/11.62 (1) all_6_7 = all_4_11 % 72.30/11.62 (2) all_6_7 = e4 % 72.30/11.62 (3) ~ (all_4_11 = e4) % 72.30/11.62 % 72.30/11.62 Begin of proof % 72.30/11.62 | % 72.30/11.62 | COMBINE_EQS: (1), (2) imply: % 72.30/11.62 | (4) all_4_11 = e4 % 72.30/11.62 | % 72.30/11.62 | SIMP: (4) implies: % 72.30/11.62 | (5) all_4_11 = e4 % 72.30/11.62 | % 72.30/11.62 | REDUCE: (3), (5) imply: % 72.30/11.62 | (6) $false % 72.30/11.62 | % 72.30/11.62 | CLOSE: (6) is inconsistent. % 72.30/11.62 | % 72.30/11.62 End of proof % 72.30/11.62 % 72.30/11.62 Sub-proof #42 shows that the following formulas are inconsistent: % 72.30/11.62 ---------------------------------------------------------------- % 72.30/11.62 (1) all_10_0 = e3 % 72.30/11.62 (2) all_10_0 = e0 % 72.30/11.62 (3) ~ (e3 = e0) % 72.30/11.62 % 72.30/11.62 Begin of proof % 72.30/11.62 | % 72.30/11.62 | COMBINE_EQS: (1), (2) imply: % 72.30/11.62 | (4) e3 = e0 % 72.30/11.62 | % 72.30/11.62 | SIMP: (4) implies: % 72.30/11.62 | (5) e3 = e0 % 72.30/11.62 | % 72.30/11.62 | REDUCE: (3), (5) imply: % 72.30/11.62 | (6) $false % 72.30/11.62 | % 72.30/11.62 | CLOSE: (6) is inconsistent. % 72.30/11.62 | % 72.30/11.62 End of proof % 72.30/11.62 % 72.30/11.62 Sub-proof #43 shows that the following formulas are inconsistent: % 72.30/11.62 ---------------------------------------------------------------- % 72.30/11.62 (1) all_10_9 = e3 % 72.30/11.62 (2) all_10_9 = e2 % 72.30/11.62 (3) ~ (e3 = e2) % 72.30/11.62 % 72.30/11.62 Begin of proof % 72.30/11.62 | % 72.30/11.62 | COMBINE_EQS: (1), (2) imply: % 72.30/11.62 | (4) e3 = e2 % 72.30/11.62 | % 72.30/11.62 | SIMP: (4) implies: % 72.30/11.62 | (5) e3 = e2 % 72.30/11.62 | % 72.30/11.62 | REDUCE: (3), (5) imply: % 72.30/11.62 | (6) $false % 72.30/11.62 | % 72.30/11.62 | CLOSE: (6) is inconsistent. % 72.30/11.62 | % 72.30/11.62 End of proof % 72.30/11.62 % 72.30/11.62 Sub-proof #44 shows that the following formulas are inconsistent: % 72.30/11.62 ---------------------------------------------------------------- % 72.30/11.62 (1) all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = all_8_67) % 72.30/11.62 (2) all_8_41 = e4 % 72.30/11.62 (3) ~ (e4 = e0) % 72.30/11.62 % 72.30/11.62 Begin of proof % 72.30/11.62 | % 72.30/11.62 | ALPHA: (1) implies: % 72.30/11.62 | (4) all_8_41 = e0 % 72.30/11.62 | % 72.30/11.62 | COMBINE_EQS: (2), (4) imply: % 72.30/11.62 | (5) e4 = e0 % 72.30/11.62 | % 72.30/11.62 | SIMP: (5) implies: % 72.30/11.62 | (6) e4 = e0 % 72.30/11.62 | % 72.30/11.62 | REDUCE: (3), (6) imply: % 72.30/11.62 | (7) $false % 72.30/11.62 | % 72.30/11.62 | CLOSE: (7) is inconsistent. % 72.30/11.62 | % 72.30/11.62 End of proof % 72.30/11.62 % 72.30/11.62 Sub-proof #45 shows that the following formulas are inconsistent: % 72.30/11.62 ---------------------------------------------------------------- % 72.30/11.62 (1) all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = all_8_66) % 72.30/11.62 (2) all_8_39 = e2 % 72.30/11.62 (3) ~ (e2 = e0) % 72.30/11.62 % 72.30/11.62 Begin of proof % 72.30/11.62 | % 72.30/11.62 | ALPHA: (1) implies: % 72.30/11.62 | (4) all_8_39 = e0 % 72.30/11.62 | % 72.30/11.62 | COMBINE_EQS: (2), (4) imply: % 72.30/11.62 | (5) e2 = e0 % 72.30/11.62 | % 72.30/11.62 | SIMP: (5) implies: % 72.30/11.62 | (6) e2 = e0 % 72.30/11.62 | % 72.30/11.62 | REDUCE: (3), (6) imply: % 72.30/11.62 | (7) $false % 72.30/11.62 | % 72.30/11.62 | CLOSE: (7) is inconsistent. % 72.30/11.62 | % 72.30/11.62 End of proof % 72.30/11.62 % 72.30/11.62 Sub-proof #46 shows that the following formulas are inconsistent: % 72.30/11.62 ---------------------------------------------------------------- % 72.30/11.62 (1) ~ (e1 = e0) % 72.30/11.62 (2) e1 = e0 % 72.30/11.62 (3) ~ (all_4_3 = e1) % 72.30/11.62 (4) all_10_12 = all_4_3 % 72.30/11.62 (5) ~ (e3 = e1) % 72.30/11.62 (6) all_10_6 = e1 | all_10_12 = e1 | all_10_20 = e1 % 72.30/11.62 (7) all_10_20 = e1 % 72.30/11.62 (8) all_10_6 = e3 % 72.30/11.62 % 72.30/11.62 Begin of proof % 72.30/11.62 | % 72.30/11.62 | COMBINE_EQS: (2), (7) imply: % 72.30/11.62 | (9) all_10_20 = e0 % 72.30/11.62 | % 72.30/11.62 | BETA: splitting (6) gives: % 72.30/11.62 | % 72.30/11.62 | Case 1: % 72.30/11.62 | | % 72.30/11.62 | | (10) all_10_6 = e1 % 72.30/11.62 | | % 72.30/11.62 | | REF_CLOSE: (5), (8), (10) are inconsistent by sub-proof #245. % 72.30/11.62 | | % 72.30/11.62 | Case 2: % 72.30/11.62 | | % 72.30/11.63 | | (11) all_10_12 = e1 | all_10_20 = e1 % 72.30/11.63 | | % 72.30/11.63 | | REF_CLOSE: (1), (3), (4), (9), (11) are inconsistent by sub-proof #47. % 72.30/11.63 | | % 72.30/11.63 | End of split % 72.30/11.63 | % 72.30/11.63 End of proof % 72.30/11.63 % 72.30/11.63 Sub-proof #47 shows that the following formulas are inconsistent: % 72.30/11.63 ---------------------------------------------------------------- % 72.30/11.63 (1) ~ (e1 = e0) % 72.30/11.63 (2) ~ (all_4_3 = e1) % 72.30/11.63 (3) all_10_12 = all_4_3 % 72.30/11.63 (4) all_10_12 = e1 | all_10_20 = e1 % 72.30/11.63 (5) all_10_20 = e0 % 72.30/11.63 % 72.30/11.63 Begin of proof % 72.30/11.63 | % 72.30/11.63 | BETA: splitting (4) gives: % 72.30/11.63 | % 72.30/11.63 | Case 1: % 72.30/11.63 | | % 72.30/11.63 | | (6) all_10_12 = e1 % 72.30/11.63 | | % 72.30/11.63 | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #94. % 72.30/11.63 | | % 72.30/11.63 | Case 2: % 72.30/11.63 | | % 72.30/11.63 | | (7) all_10_20 = e1 % 72.30/11.63 | | % 72.30/11.63 | | COMBINE_EQS: (5), (7) imply: % 72.30/11.63 | | (8) e1 = e0 % 72.30/11.63 | | % 72.30/11.63 | | REDUCE: (1), (8) imply: % 72.30/11.63 | | (9) $false % 72.30/11.63 | | % 72.30/11.63 | | CLOSE: (9) is inconsistent. % 72.30/11.63 | | % 72.30/11.63 | End of split % 72.30/11.63 | % 72.30/11.63 End of proof % 72.30/11.63 % 72.30/11.63 Sub-proof #48 shows that the following formulas are inconsistent: % 72.30/11.63 ---------------------------------------------------------------- % 72.30/11.63 (1) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = all_8_55) % 72.30/11.63 (2) all_8_4 = e2 % 72.30/11.63 (3) ~ (e4 = e2) % 72.30/11.63 % 72.30/11.63 Begin of proof % 72.30/11.63 | % 72.30/11.63 | ALPHA: (1) implies: % 72.30/11.63 | (4) all_8_4 = e4 % 72.30/11.63 | % 72.30/11.63 | COMBINE_EQS: (2), (4) imply: % 72.30/11.63 | (5) e4 = e2 % 72.30/11.63 | % 72.30/11.63 | REDUCE: (3), (5) imply: % 72.30/11.63 | (6) $false % 72.30/11.63 | % 72.30/11.63 | CLOSE: (6) is inconsistent. % 72.30/11.63 | % 72.30/11.63 End of proof % 72.30/11.63 % 72.30/11.63 Sub-proof #49 shows that the following formulas are inconsistent: % 72.30/11.63 ---------------------------------------------------------------- % 72.30/11.63 (1) ~ (all_4_1 = e0) % 72.30/11.63 (2) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0 % 72.30/11.63 (3) all_6_5 = all_4_1 % 72.30/11.63 (4) ~ (all_4_1 = e4) % 72.30/11.63 (5) ~ (all_4_1 = e3) % 72.30/11.63 (6) ~ (all_4_1 = e2) % 72.30/11.63 % 72.30/11.63 Begin of proof % 72.30/11.63 | % 72.30/11.63 | BETA: splitting (2) gives: % 72.30/11.63 | % 72.30/11.63 | Case 1: % 72.30/11.63 | | % 72.30/11.63 | | (7) all_6_5 = e4 % 72.30/11.63 | | % 72.30/11.63 | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #260. % 72.30/11.63 | | % 72.30/11.63 | Case 2: % 72.30/11.63 | | % 72.30/11.63 | | (8) all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0 % 72.30/11.63 | | % 72.30/11.63 | | REF_CLOSE: (1), (3), (5), (6), (8) are inconsistent by sub-proof #256. % 72.30/11.63 | | % 72.30/11.63 | End of split % 72.30/11.63 | % 72.30/11.63 End of proof % 72.30/11.63 % 72.30/11.63 Sub-proof #50 shows that the following formulas are inconsistent: % 72.30/11.63 ---------------------------------------------------------------- % 72.30/11.63 (1) all_6_17 = all_4_13 % 72.30/11.63 (2) all_6_17 = e0 % 72.30/11.63 (3) ~ (all_4_13 = e0) % 72.30/11.63 % 72.30/11.63 Begin of proof % 72.30/11.63 | % 72.30/11.63 | COMBINE_EQS: (1), (2) imply: % 72.30/11.63 | (4) all_4_13 = e0 % 72.30/11.63 | % 72.30/11.63 | SIMP: (4) implies: % 72.30/11.63 | (5) all_4_13 = e0 % 72.30/11.63 | % 72.30/11.63 | REDUCE: (3), (5) imply: % 72.30/11.63 | (6) $false % 72.30/11.63 | % 72.30/11.63 | CLOSE: (6) is inconsistent. % 72.30/11.63 | % 72.30/11.63 End of proof % 72.30/11.63 % 72.30/11.63 Sub-proof #51 shows that the following formulas are inconsistent: % 72.30/11.63 ---------------------------------------------------------------- % 72.30/11.63 (1) all_6_17 = all_4_13 % 72.30/11.63 (2) all_6_17 = e2 % 72.30/11.63 (3) ~ (all_4_13 = e2) % 72.30/11.63 % 72.30/11.63 Begin of proof % 72.30/11.63 | % 72.30/11.63 | COMBINE_EQS: (1), (2) imply: % 72.30/11.63 | (4) all_4_13 = e2 % 72.30/11.63 | % 72.30/11.63 | SIMP: (4) implies: % 72.30/11.63 | (5) all_4_13 = e2 % 72.30/11.63 | % 72.30/11.63 | REDUCE: (3), (5) imply: % 72.30/11.63 | (6) $false % 72.30/11.63 | % 72.30/11.63 | CLOSE: (6) is inconsistent. % 72.30/11.63 | % 72.30/11.63 End of proof % 72.30/11.63 % 72.30/11.63 Sub-proof #52 shows that the following formulas are inconsistent: % 72.30/11.63 ---------------------------------------------------------------- % 72.30/11.63 (1) all_6_17 = all_4_13 % 72.30/11.63 (2) all_6_17 = e4 % 72.30/11.63 (3) ~ (all_4_13 = e4) % 72.30/11.63 % 72.30/11.63 Begin of proof % 72.30/11.63 | % 72.30/11.63 | COMBINE_EQS: (1), (2) imply: % 72.30/11.63 | (4) all_4_13 = e4 % 72.30/11.63 | % 72.30/11.63 | SIMP: (4) implies: % 72.30/11.63 | (5) all_4_13 = e4 % 72.30/11.63 | % 72.30/11.63 | REDUCE: (3), (5) imply: % 72.30/11.63 | (6) $false % 72.30/11.63 | % 72.30/11.63 | CLOSE: (6) is inconsistent. % 72.30/11.63 | % 72.30/11.63 End of proof % 72.30/11.63 % 72.30/11.63 Sub-proof #53 shows that the following formulas are inconsistent: % 72.30/11.63 ---------------------------------------------------------------- % 72.30/11.63 (1) all_10_21 = all_4_9 % 72.30/11.63 (2) ~ (all_4_9 = e0) % 72.30/11.63 (3) all_6_21 = all_4_9 % 72.30/11.63 (4) ~ (all_4_9 = e2) % 72.30/11.63 (5) ~ (all_10_21 = e3) % 72.30/11.63 (6) all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0 % 72.30/11.63 % 72.30/11.63 Begin of proof % 72.30/11.63 | % 72.30/11.63 | REDUCE: (1), (5) imply: % 72.30/11.63 | (7) ~ (all_4_9 = e3) % 72.30/11.63 | % 72.30/11.63 | BETA: splitting (6) gives: % 72.30/11.63 | % 72.30/11.63 | Case 1: % 72.30/11.63 | | % 72.30/11.63 | | (8) all_6_21 = e2 % 72.30/11.63 | | % 72.30/11.63 | | REF_CLOSE: (3), (4), (8) are inconsistent by sub-proof #154. % 72.30/11.63 | | % 72.30/11.63 | Case 2: % 72.30/11.63 | | % 72.30/11.63 | | (9) all_6_21 = e3 | all_6_21 = e0 % 72.30/11.63 | | % 72.30/11.63 | | REF_CLOSE: (2), (3), (7), (9) are inconsistent by sub-proof #122. % 72.30/11.63 | | % 72.30/11.63 | End of split % 72.30/11.63 | % 72.30/11.63 End of proof % 72.30/11.63 % 72.30/11.63 Sub-proof #54 shows that the following formulas are inconsistent: % 72.30/11.63 ---------------------------------------------------------------- % 72.30/11.63 (1) all_6_16 = all_4_8 % 72.30/11.63 (2) all_6_16 = e4 % 72.30/11.63 (3) ~ (all_4_8 = e4) % 72.30/11.63 % 72.30/11.63 Begin of proof % 72.30/11.63 | % 72.30/11.63 | COMBINE_EQS: (1), (2) imply: % 72.30/11.63 | (4) all_4_8 = e4 % 72.30/11.63 | % 72.30/11.63 | SIMP: (4) implies: % 72.30/11.63 | (5) all_4_8 = e4 % 72.30/11.63 | % 72.30/11.63 | REDUCE: (3), (5) imply: % 72.30/11.63 | (6) $false % 72.30/11.63 | % 72.30/11.63 | CLOSE: (6) is inconsistent. % 72.30/11.63 | % 72.30/11.63 End of proof % 72.30/11.63 % 72.30/11.63 Sub-proof #55 shows that the following formulas are inconsistent: % 72.30/11.63 ---------------------------------------------------------------- % 72.30/11.63 (1) all_6_23 = all_4_19 % 72.30/11.63 (2) all_6_23 = e1 % 72.30/11.63 (3) ~ (all_4_19 = e1) % 72.30/11.63 % 72.30/11.63 Begin of proof % 72.30/11.63 | % 72.30/11.63 | COMBINE_EQS: (1), (2) imply: % 72.30/11.63 | (4) all_4_19 = e1 % 72.30/11.63 | % 72.30/11.63 | SIMP: (4) implies: % 72.30/11.63 | (5) all_4_19 = e1 % 72.30/11.63 | % 72.30/11.63 | REDUCE: (3), (5) imply: % 72.30/11.63 | (6) $false % 72.30/11.63 | % 72.30/11.63 | CLOSE: (6) is inconsistent. % 72.30/11.63 | % 72.30/11.63 End of proof % 72.30/11.63 % 72.30/11.63 Sub-proof #56 shows that the following formulas are inconsistent: % 72.30/11.63 ---------------------------------------------------------------- % 72.30/11.63 (1) all_10_15 = e3 | all_10_19 = e3 % 72.30/11.63 (2) ~ (e3 = e1) % 72.30/11.63 (3) ~ (e3 = e0) % 72.30/11.63 (4) all_10_19 = e1 % 72.30/11.63 (5) all_10_15 = e0 % 72.30/11.63 % 72.30/11.63 Begin of proof % 72.30/11.63 | % 72.30/11.63 | BETA: splitting (1) gives: % 72.30/11.63 | % 72.30/11.63 | Case 1: % 72.30/11.63 | | % 72.30/11.63 | | (6) all_10_15 = e3 % 72.30/11.63 | | % 72.30/11.63 | | REF_CLOSE: (3), (5), (6) are inconsistent by sub-proof #191. % 72.30/11.63 | | % 72.30/11.63 | Case 2: % 72.30/11.63 | | % 72.30/11.63 | | (7) all_10_19 = e3 % 72.30/11.63 | | % 72.30/11.63 | | REF_CLOSE: (2), (4), (7) are inconsistent by sub-proof #217. % 72.30/11.63 | | % 72.30/11.63 | End of split % 72.30/11.63 | % 72.30/11.63 End of proof % 72.30/11.63 % 72.30/11.63 Sub-proof #57 shows that the following formulas are inconsistent: % 72.30/11.63 ---------------------------------------------------------------- % 72.30/11.63 (1) all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = all_8_56) % 72.30/11.63 (2) all_8_13 = e0 % 72.30/11.63 (3) ~ (e3 = e0) % 72.30/11.63 % 72.30/11.63 Begin of proof % 72.30/11.63 | % 72.30/11.63 | ALPHA: (1) implies: % 72.30/11.63 | (4) all_8_13 = e3 % 72.30/11.63 | % 72.30/11.63 | COMBINE_EQS: (2), (4) imply: % 72.30/11.63 | (5) e3 = e0 % 72.30/11.63 | % 72.30/11.63 | REDUCE: (3), (5) imply: % 72.30/11.63 | (6) $false % 72.30/11.63 | % 72.30/11.63 | CLOSE: (6) is inconsistent. % 72.30/11.63 | % 72.30/11.63 End of proof % 72.30/11.63 % 72.30/11.63 Sub-proof #58 shows that the following formulas are inconsistent: % 72.30/11.63 ---------------------------------------------------------------- % 72.30/11.63 (1) (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = all_8_65)) | (all_8_10 % 72.30/11.63 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 72.30/11.63 (2) all_8_7 = e0 % 72.30/11.63 (3) all_8_10 = e0 % 72.30/11.63 (4) ~ (e3 = e0) % 72.30/11.63 % 72.30/11.63 Begin of proof % 72.30/11.63 | % 72.30/11.63 | BETA: splitting (1) gives: % 72.30/11.63 | % 72.30/11.63 | Case 1: % 72.30/11.63 | | % 72.30/11.63 | | (5) all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = all_8_65) % 72.30/11.63 | | % 72.30/11.63 | | ALPHA: (5) implies: % 72.30/11.63 | | (6) ~ (all_8_7 = e0) % 72.30/11.63 | | % 72.30/11.63 | | REDUCE: (2), (6) imply: % 72.30/11.63 | | (7) $false % 72.30/11.63 | | % 72.30/11.63 | | CLOSE: (7) is inconsistent. % 72.30/11.63 | | % 72.30/11.63 | Case 2: % 72.30/11.63 | | % 72.30/11.63 | | (8) all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50) % 72.30/11.63 | | % 72.30/11.63 | | ALPHA: (8) implies: % 72.30/11.63 | | (9) all_8_10 = e3 % 72.30/11.63 | | % 72.30/11.63 | | COMBINE_EQS: (3), (9) imply: % 72.30/11.63 | | (10) e3 = e0 % 72.30/11.63 | | % 72.30/11.63 | | REDUCE: (4), (10) imply: % 72.30/11.63 | | (11) $false % 72.30/11.63 | | % 72.30/11.63 | | CLOSE: (11) is inconsistent. % 72.30/11.63 | | % 72.30/11.63 | End of split % 72.30/11.63 | % 72.30/11.63 End of proof % 72.30/11.63 % 72.30/11.63 Sub-proof #59 shows that the following formulas are inconsistent: % 72.30/11.63 ---------------------------------------------------------------- % 72.30/11.63 (1) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = all_8_60) % 72.30/11.63 (2) all_8_6 = e1 % 72.30/11.63 (3) ~ (e4 = e1) % 72.30/11.63 % 72.30/11.63 Begin of proof % 72.30/11.63 | % 72.30/11.63 | ALPHA: (1) implies: % 72.30/11.63 | (4) all_8_6 = e4 % 72.30/11.63 | % 72.30/11.63 | COMBINE_EQS: (2), (4) imply: % 72.30/11.63 | (5) e4 = e1 % 72.30/11.63 | % 72.30/11.63 | REDUCE: (3), (5) imply: % 72.30/11.63 | (6) $false % 72.30/11.63 | % 72.30/11.63 | CLOSE: (6) is inconsistent. % 72.30/11.63 | % 72.30/11.63 End of proof % 72.30/11.63 % 72.30/11.63 Sub-proof #60 shows that the following formulas are inconsistent: % 72.30/11.63 ---------------------------------------------------------------- % 72.30/11.63 (1) all_6_23 = all_4_19 % 72.30/11.63 (2) all_6_23 = e4 % 72.30/11.63 (3) ~ (all_4_19 = e4) % 72.30/11.63 % 72.30/11.63 Begin of proof % 72.30/11.63 | % 72.30/11.63 | COMBINE_EQS: (1), (2) imply: % 72.30/11.63 | (4) all_4_19 = e4 % 72.30/11.63 | % 72.30/11.63 | SIMP: (4) implies: % 72.30/11.63 | (5) all_4_19 = e4 % 72.30/11.63 | % 72.30/11.63 | REDUCE: (3), (5) imply: % 72.30/11.63 | (6) $false % 72.30/11.63 | % 72.30/11.63 | CLOSE: (6) is inconsistent. % 72.30/11.63 | % 72.30/11.63 End of proof % 72.30/11.63 % 72.30/11.63 Sub-proof #61 shows that the following formulas are inconsistent: % 72.30/11.63 ---------------------------------------------------------------- % 72.30/11.63 (1) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0 % 72.30/11.63 (2) all_6_7 = all_4_11 % 72.30/11.63 (3) ~ (all_4_11 = e4) % 72.30/11.63 (4) ~ (all_4_11 = e0) % 72.30/11.63 (5) ~ (all_4_11 = e2) % 72.30/11.63 (6) ~ (all_4_11 = e3) % 72.30/11.63 % 72.30/11.63 Begin of proof % 72.30/11.63 | % 72.30/11.63 | BETA: splitting (1) gives: % 72.30/11.63 | % 72.30/11.63 | Case 1: % 72.30/11.63 | | % 72.30/11.63 | | (7) all_6_7 = e4 % 72.30/11.63 | | % 72.30/11.63 | | COMBINE_EQS: (2), (7) imply: % 72.30/11.63 | | (8) all_4_11 = e4 % 72.30/11.63 | | % 72.30/11.63 | | REDUCE: (3), (8) imply: % 72.30/11.63 | | (9) $false % 72.30/11.63 | | % 72.30/11.63 | | CLOSE: (9) is inconsistent. % 72.30/11.63 | | % 72.30/11.63 | Case 2: % 72.30/11.63 | | % 72.30/11.63 | | (10) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0 % 72.30/11.63 | | % 72.30/11.63 | | REF_CLOSE: (2), (4), (5), (6), (10) are inconsistent by sub-proof #135. % 72.30/11.63 | | % 72.30/11.63 | End of split % 72.30/11.63 | % 72.30/11.63 End of proof % 72.30/11.63 % 72.30/11.63 Sub-proof #62 shows that the following formulas are inconsistent: % 72.30/11.63 ---------------------------------------------------------------- % 72.30/11.63 (1) all_8_63 = e1 % 72.30/11.63 (2) (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = all_8_67)) | % 72.30/11.63 (all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = all_8_68)) % 72.30/11.63 (3) all_8_58 = e2 % 72.30/11.63 (4) all_8_68 = e1 % 72.30/11.63 (5) all_8_67 = e2 % 72.30/11.63 % 72.30/11.63 Begin of proof % 72.30/11.63 | % 72.30/11.63 | BETA: splitting (2) gives: % 72.30/11.63 | % 72.30/11.63 | Case 1: % 72.30/11.63 | | % 72.30/11.63 | | (6) all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = all_8_67) % 72.30/11.63 | | % 72.30/11.63 | | ALPHA: (6) implies: % 72.30/11.63 | | (7) ~ (all_8_58 = all_8_67) % 72.30/11.63 | | % 72.30/11.63 | | REDUCE: (3), (5), (7) imply: % 72.30/11.63 | | (8) $false % 72.30/11.63 | | % 72.30/11.63 | | CLOSE: (8) is inconsistent. % 72.30/11.63 | | % 72.30/11.63 | Case 2: % 72.30/11.63 | | % 72.30/11.63 | | (9) all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = all_8_68) % 72.30/11.63 | | % 72.30/11.63 | | ALPHA: (9) implies: % 72.30/11.63 | | (10) ~ (all_8_63 = all_8_68) % 72.30/11.63 | | % 72.30/11.63 | | REDUCE: (1), (4), (10) imply: % 72.30/11.63 | | (11) $false % 72.30/11.63 | | % 72.30/11.63 | | CLOSE: (11) is inconsistent. % 72.30/11.63 | | % 72.30/11.63 | End of split % 72.30/11.63 | % 72.30/11.63 End of proof % 72.30/11.63 % 72.30/11.63 Sub-proof #63 shows that the following formulas are inconsistent: % 72.30/11.63 ---------------------------------------------------------------- % 72.30/11.63 (1) all_8_24 = e3 % 72.30/11.63 (2) all_8_58 = e2 % 72.30/11.63 (3) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 = all_8_62)) | % 72.30/11.63 (all_8_26 = e2 & ~ (all_8_25 = e0) & ~ (all_8_58 = all_8_67)) % 72.30/11.63 (4) all_8_67 = e2 % 72.30/11.63 (5) ~ (e3 = e2) % 72.30/11.63 % 72.30/11.63 Begin of proof % 72.30/11.63 | % 72.30/11.63 | BETA: splitting (3) gives: % 72.30/11.63 | % 72.30/11.63 | Case 1: % 72.30/11.63 | | % 72.30/11.63 | | (6) all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 = all_8_62) % 72.30/11.63 | | % 72.30/11.63 | | REF_CLOSE: (1), (5), (6) are inconsistent by sub-proof #209. % 72.30/11.63 | | % 72.30/11.63 | Case 2: % 72.30/11.63 | | % 72.30/11.63 | | (7) all_8_26 = e2 & ~ (all_8_25 = e0) & ~ (all_8_58 = all_8_67) % 72.30/11.63 | | % 72.30/11.63 | | ALPHA: (7) implies: % 72.30/11.63 | | (8) ~ (all_8_58 = all_8_67) % 72.30/11.63 | | % 72.30/11.63 | | REDUCE: (2), (4), (8) imply: % 72.30/11.63 | | (9) $false % 72.30/11.63 | | % 72.30/11.63 | | CLOSE: (9) is inconsistent. % 72.30/11.63 | | % 72.30/11.63 | End of split % 72.30/11.63 | % 72.30/11.63 End of proof % 72.30/11.63 % 72.30/11.63 Sub-proof #64 shows that the following formulas are inconsistent: % 72.30/11.63 ---------------------------------------------------------------- % 72.30/11.63 (1) all_8_15 = e4 % 72.30/11.63 (2) ~ (e3 = e1) % 72.30/11.63 (3) ~ (e4 = e3) % 72.30/11.63 (4) all_8_13 = e1 % 72.30/11.63 (5) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = all_8_56)) | % 72.30/11.63 (all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 = all_8_61)) % 72.30/11.63 % 72.30/11.63 Begin of proof % 72.30/11.63 | % 72.30/11.63 | BETA: splitting (5) gives: % 72.30/11.63 | % 72.30/11.63 | Case 1: % 72.30/11.63 | | % 72.30/11.63 | | (6) all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = all_8_56) % 72.30/11.63 | | % 72.30/11.63 | | ALPHA: (6) implies: % 72.30/11.63 | | (7) all_8_13 = e3 % 72.30/11.63 | | % 72.30/11.63 | | COMBINE_EQS: (4), (7) imply: % 72.30/11.63 | | (8) e3 = e1 % 72.30/11.63 | | % 72.30/11.63 | | REDUCE: (2), (8) imply: % 72.30/11.63 | | (9) $false % 72.30/11.63 | | % 72.30/11.63 | | CLOSE: (9) is inconsistent. % 72.30/11.63 | | % 72.30/11.63 | Case 2: % 72.30/11.63 | | % 72.30/11.63 | | (10) all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 = all_8_61) % 72.30/11.63 | | % 72.30/11.63 | | REF_CLOSE: (1), (3), (10) are inconsistent by sub-proof #148. % 72.30/11.63 | | % 72.30/11.63 | End of split % 72.30/11.63 | % 72.30/11.63 End of proof % 72.30/11.63 % 72.30/11.63 Sub-proof #65 shows that the following formulas are inconsistent: % 72.30/11.63 ---------------------------------------------------------------- % 72.30/11.63 (1) ~ (e4 = e2) % 72.30/11.63 (2) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = all_8_50)) | (all_8_4 % 72.30/11.63 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & % 72.30/11.63 ~ (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | (all_8_8 = e4 & ~ % 72.30/11.63 (all_8_7 = e0) & ~ (all_8_48 = all_8_65)) | (all_8_10 = e3 & ~ % 72.30/11.63 (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 72.30/11.63 (3) all_8_65 = e4 % 72.30/11.63 (4) all_8_48 = e4 % 72.30/11.63 (5) all_8_6 = e2 % 72.30/11.63 (6) ~ (e4 = e3) % 72.30/11.63 (7) ~ (e4 = e1) % 72.30/11.63 (8) ~ (e3 = e2) % 72.30/11.63 (9) all_8_2 = e1 % 72.30/11.63 (10) all_8_4 = e3 % 72.30/11.63 (11) all_8_10 = e2 % 72.30/11.63 % 72.30/11.63 Begin of proof % 72.30/11.63 | % 72.30/11.63 | BETA: splitting (2) gives: % 72.30/11.63 | % 72.30/11.63 | Case 1: % 72.30/11.63 | | % 72.30/11.63 | | (12) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = all_8_50)) | % 72.30/11.63 | | (all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = all_8_55)) % 72.30/11.63 | | % 72.30/11.63 | | BETA: splitting (12) gives: % 72.30/11.63 | | % 72.30/11.63 | | Case 1: % 72.30/11.63 | | | % 72.30/11.63 | | | (13) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = all_8_50) % 72.30/11.63 | | | % 72.30/11.63 | | | REF_CLOSE: (7), (9), (13) are inconsistent by sub-proof #216. % 72.30/11.63 | | | % 72.30/11.63 | | Case 2: % 72.30/11.63 | | | % 72.30/11.63 | | | (14) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = all_8_55) % 72.30/11.63 | | | % 72.30/11.63 | | | REF_CLOSE: (6), (10), (14) are inconsistent by sub-proof #215. % 72.30/11.63 | | | % 72.30/11.63 | | End of split % 72.30/11.63 | | % 72.30/11.63 | Case 2: % 72.30/11.63 | | % 72.30/11.63 | | (15) (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 72.30/11.63 | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = all_8_65)) | % 72.30/11.63 | | (all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 72.30/11.63 | | % 72.30/11.63 | | BETA: splitting (15) gives: % 72.30/11.63 | | % 72.30/11.63 | | Case 1: % 72.30/11.63 | | | % 72.30/11.63 | | | (16) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = all_8_60) % 72.30/11.63 | | | % 72.30/11.63 | | | REF_CLOSE: (1), (5), (16) are inconsistent by sub-proof #151. % 72.30/11.63 | | | % 72.30/11.63 | | Case 2: % 72.30/11.63 | | | % 72.30/11.63 | | | (17) (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = all_8_65)) | % 72.30/11.63 | | | (all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 72.30/11.63 | | | % 72.30/11.63 | | | BETA: splitting (17) gives: % 72.30/11.63 | | | % 72.30/11.63 | | | Case 1: % 72.30/11.63 | | | | % 72.30/11.63 | | | | (18) all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = all_8_65) % 72.30/11.63 | | | | % 72.30/11.63 | | | | ALPHA: (18) implies: % 72.30/11.63 | | | | (19) ~ (all_8_48 = all_8_65) % 72.30/11.63 | | | | % 72.30/11.63 | | | | REDUCE: (3), (4), (19) imply: % 72.30/11.63 | | | | (20) $false % 72.30/11.63 | | | | % 72.30/11.63 | | | | CLOSE: (20) is inconsistent. % 72.30/11.63 | | | | % 72.30/11.63 | | | Case 2: % 72.30/11.63 | | | | % 72.30/11.63 | | | | (21) all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50) % 72.30/11.63 | | | | % 72.30/11.63 | | | | ALPHA: (21) implies: % 72.30/11.63 | | | | (22) all_8_10 = e3 % 72.30/11.63 | | | | % 72.30/11.63 | | | | COMBINE_EQS: (11), (22) imply: % 72.30/11.63 | | | | (23) e3 = e2 % 72.30/11.63 | | | | % 72.30/11.63 | | | | REDUCE: (8), (23) imply: % 72.30/11.63 | | | | (24) $false % 72.30/11.63 | | | | % 72.30/11.63 | | | | CLOSE: (24) is inconsistent. % 72.30/11.63 | | | | % 72.30/11.63 | | | End of split % 72.30/11.63 | | | % 72.30/11.63 | | End of split % 72.30/11.63 | | % 72.30/11.63 | End of split % 72.30/11.63 | % 72.30/11.63 End of proof % 72.30/11.63 % 72.30/11.63 Sub-proof #66 shows that the following formulas are inconsistent: % 72.30/11.63 ---------------------------------------------------------------- % 72.30/11.63 (1) all_10_21 = e2 % 72.30/11.63 (2) all_10_21 = e0 % 72.30/11.63 (3) ~ (e2 = e0) % 72.30/11.63 % 72.30/11.63 Begin of proof % 72.30/11.63 | % 72.30/11.64 | COMBINE_EQS: (1), (2) imply: % 72.30/11.64 | (4) e2 = e0 % 72.30/11.64 | % 72.30/11.64 | SIMP: (4) implies: % 72.30/11.64 | (5) e2 = e0 % 72.30/11.64 | % 72.30/11.64 | REDUCE: (3), (5) imply: % 72.30/11.64 | (6) $false % 72.30/11.64 | % 72.30/11.64 | CLOSE: (6) is inconsistent. % 72.30/11.64 | % 72.30/11.64 End of proof % 72.30/11.64 % 72.30/11.64 Sub-proof #67 shows that the following formulas are inconsistent: % 72.30/11.64 ---------------------------------------------------------------- % 72.30/11.64 (1) all_10_0 = e1 % 72.30/11.64 (2) all_10_0 = e0 % 72.30/11.64 (3) ~ (e1 = e0) % 72.30/11.64 % 72.30/11.64 Begin of proof % 72.30/11.64 | % 72.30/11.64 | COMBINE_EQS: (1), (2) imply: % 72.30/11.64 | (4) e1 = e0 % 72.30/11.64 | % 72.30/11.64 | SIMP: (4) implies: % 72.30/11.64 | (5) e1 = e0 % 72.30/11.64 | % 72.30/11.64 | REDUCE: (3), (5) imply: % 72.30/11.64 | (6) $false % 72.30/11.64 | % 72.30/11.64 | CLOSE: (6) is inconsistent. % 72.30/11.64 | % 72.30/11.64 End of proof % 72.30/11.64 % 72.30/11.64 Sub-proof #68 shows that the following formulas are inconsistent: % 72.30/11.64 ---------------------------------------------------------------- % 72.30/11.64 (1) all_10_1 = e3 % 72.30/11.64 (2) all_10_1 = e2 % 72.30/11.64 (3) ~ (e3 = e2) % 72.30/11.64 % 72.30/11.64 Begin of proof % 72.30/11.64 | % 72.30/11.64 | COMBINE_EQS: (1), (2) imply: % 72.30/11.64 | (4) e3 = e2 % 72.30/11.64 | % 72.30/11.64 | SIMP: (4) implies: % 72.30/11.64 | (5) e3 = e2 % 72.30/11.64 | % 72.30/11.64 | REDUCE: (3), (5) imply: % 72.30/11.64 | (6) $false % 72.30/11.64 | % 72.30/11.64 | CLOSE: (6) is inconsistent. % 72.30/11.64 | % 72.30/11.64 End of proof % 72.30/11.64 % 72.30/11.64 Sub-proof #69 shows that the following formulas are inconsistent: % 72.30/11.64 ---------------------------------------------------------------- % 72.30/11.64 (1) all_10_23 = all_4_19 % 72.30/11.64 (2) all_10_23 = e1 % 72.30/11.64 (3) ~ (all_4_19 = e1) % 72.30/11.64 % 72.30/11.64 Begin of proof % 72.30/11.64 | % 72.30/11.64 | COMBINE_EQS: (1), (2) imply: % 72.30/11.64 | (4) all_4_19 = e1 % 72.30/11.64 | % 72.30/11.64 | SIMP: (4) implies: % 72.30/11.64 | (5) all_4_19 = e1 % 72.30/11.64 | % 72.30/11.64 | REDUCE: (3), (5) imply: % 72.30/11.64 | (6) $false % 72.30/11.64 | % 72.30/11.64 | CLOSE: (6) is inconsistent. % 72.30/11.64 | % 72.30/11.64 End of proof % 72.30/11.64 % 72.30/11.64 Sub-proof #70 shows that the following formulas are inconsistent: % 72.30/11.64 ---------------------------------------------------------------- % 72.30/11.64 (1) all_10_15 = e1 % 72.30/11.64 (2) all_10_15 = e0 % 72.30/11.64 (3) ~ (e1 = e0) % 72.30/11.64 % 72.30/11.64 Begin of proof % 72.30/11.64 | % 72.30/11.64 | COMBINE_EQS: (1), (2) imply: % 72.30/11.64 | (4) e1 = e0 % 72.30/11.64 | % 72.30/11.64 | SIMP: (4) implies: % 72.30/11.64 | (5) e1 = e0 % 72.30/11.64 | % 72.30/11.64 | REDUCE: (3), (5) imply: % 72.30/11.64 | (6) $false % 72.30/11.64 | % 72.30/11.64 | CLOSE: (6) is inconsistent. % 72.30/11.64 | % 72.30/11.64 End of proof % 72.30/11.64 % 72.30/11.64 Sub-proof #71 shows that the following formulas are inconsistent: % 72.30/11.64 ---------------------------------------------------------------- % 72.30/11.64 (1) all_6_4 = e3 | all_6_4 = e0 % 72.30/11.64 (2) all_6_4 = all_4_20 % 72.30/11.64 (3) ~ (all_4_20 = e3) % 72.30/11.64 (4) ~ (all_4_20 = e0) % 72.30/11.64 % 72.30/11.64 Begin of proof % 72.30/11.64 | % 72.30/11.64 | BETA: splitting (1) gives: % 72.30/11.64 | % 72.30/11.64 | Case 1: % 72.30/11.64 | | % 72.30/11.64 | | (5) all_6_4 = e3 % 72.30/11.64 | | % 72.30/11.64 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #72. % 72.30/11.64 | | % 72.30/11.64 | Case 2: % 72.30/11.64 | | % 72.30/11.64 | | (6) all_6_4 = e0 % 72.30/11.64 | | % 72.30/11.64 | | COMBINE_EQS: (2), (6) imply: % 72.30/11.64 | | (7) all_4_20 = e0 % 72.30/11.64 | | % 72.30/11.64 | | SIMP: (7) implies: % 72.30/11.64 | | (8) all_4_20 = e0 % 72.30/11.64 | | % 72.30/11.64 | | REDUCE: (4), (8) imply: % 72.30/11.64 | | (9) $false % 72.30/11.64 | | % 72.30/11.64 | | CLOSE: (9) is inconsistent. % 72.30/11.64 | | % 72.30/11.64 | End of split % 72.30/11.64 | % 72.30/11.64 End of proof % 72.30/11.64 % 72.30/11.64 Sub-proof #72 shows that the following formulas are inconsistent: % 72.30/11.64 ---------------------------------------------------------------- % 72.30/11.64 (1) all_6_4 = all_4_20 % 72.30/11.64 (2) all_6_4 = e3 % 72.30/11.64 (3) ~ (all_4_20 = e3) % 72.30/11.64 % 72.30/11.64 Begin of proof % 72.30/11.64 | % 72.30/11.64 | COMBINE_EQS: (1), (2) imply: % 72.30/11.64 | (4) all_4_20 = e3 % 72.30/11.64 | % 72.30/11.64 | SIMP: (4) implies: % 72.30/11.64 | (5) all_4_20 = e3 % 72.30/11.64 | % 72.30/11.64 | REDUCE: (3), (5) imply: % 72.30/11.64 | (6) $false % 72.30/11.64 | % 72.30/11.64 | CLOSE: (6) is inconsistent. % 72.30/11.64 | % 72.30/11.64 End of proof % 72.30/11.64 % 72.30/11.64 Sub-proof #73 shows that the following formulas are inconsistent: % 72.30/11.64 ---------------------------------------------------------------- % 72.30/11.64 (1) ~ (all_4_15 = e0) % 72.30/11.64 (2) ~ (all_4_15 = e3) % 72.30/11.64 (3) all_6_23 = all_4_19 % 72.30/11.64 (4) ~ (all_4_15 = all_4_19) % 72.30/11.64 (5) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0 % 72.30/11.64 (6) all_6_23 = e3 | all_6_23 = e2 | all_6_23 = e0 % 72.30/11.64 (7) ~ (all_4_15 = e4) % 72.30/11.64 (8) all_6_3 = all_4_15 % 72.30/11.64 (9) ~ (all_4_19 = e0) % 72.30/11.64 (10) ~ (all_4_19 = e3) % 72.30/11.64 % 72.30/11.64 Begin of proof % 72.30/11.64 | % 72.30/11.64 | BETA: splitting (5) gives: % 72.30/11.64 | % 72.30/11.64 | Case 1: % 72.30/11.64 | | % 72.30/11.64 | | (11) all_6_3 = e4 % 72.30/11.64 | | % 72.30/11.64 | | REF_CLOSE: (7), (8), (11) are inconsistent by sub-proof #218. % 72.30/11.64 | | % 72.30/11.64 | Case 2: % 72.30/11.64 | | % 72.30/11.64 | | (12) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0 % 72.30/11.64 | | % 72.30/11.64 | | BETA: splitting (12) gives: % 72.30/11.64 | | % 72.30/11.64 | | Case 1: % 72.30/11.64 | | | % 72.30/11.64 | | | (13) all_6_3 = e2 % 72.30/11.64 | | | % 72.30/11.64 | | | COMBINE_EQS: (8), (13) imply: % 72.30/11.64 | | | (14) all_4_15 = e2 % 72.30/11.64 | | | % 72.30/11.64 | | | SIMP: (14) implies: % 72.30/11.64 | | | (15) all_4_15 = e2 % 72.30/11.64 | | | % 72.30/11.64 | | | REDUCE: (4), (15) imply: % 72.30/11.64 | | | (16) ~ (all_4_19 = e2) % 72.30/11.64 | | | % 72.30/11.64 | | | SIMP: (16) implies: % 72.30/11.64 | | | (17) ~ (all_4_19 = e2) % 72.30/11.64 | | | % 72.30/11.64 | | | BETA: splitting (6) gives: % 72.30/11.64 | | | % 72.30/11.64 | | | Case 1: % 72.30/11.64 | | | | % 72.30/11.64 | | | | (18) all_6_23 = e2 % 72.30/11.64 | | | | % 72.30/11.64 | | | | REF_CLOSE: (3), (17), (18) are inconsistent by sub-proof #74. % 72.30/11.64 | | | | % 72.30/11.64 | | | Case 2: % 72.30/11.64 | | | | % 72.30/11.64 | | | | (19) all_6_23 = e3 | all_6_23 = e0 % 72.30/11.64 | | | | % 72.30/11.64 | | | | REF_CLOSE: (3), (9), (10), (19) are inconsistent by sub-proof #75. % 72.30/11.64 | | | | % 72.30/11.64 | | | End of split % 72.30/11.64 | | | % 72.30/11.64 | | Case 2: % 72.30/11.64 | | | % 72.30/11.64 | | | (20) all_6_3 = e3 | all_6_3 = e0 % 72.30/11.64 | | | % 72.30/11.64 | | | REF_CLOSE: (1), (2), (8), (20) are inconsistent by sub-proof #197. % 72.30/11.64 | | | % 72.30/11.64 | | End of split % 72.30/11.64 | | % 72.30/11.64 | End of split % 72.30/11.64 | % 72.30/11.64 End of proof % 72.30/11.64 % 72.30/11.64 Sub-proof #74 shows that the following formulas are inconsistent: % 72.30/11.64 ---------------------------------------------------------------- % 72.30/11.64 (1) all_6_23 = all_4_19 % 72.30/11.64 (2) all_6_23 = e2 % 72.30/11.64 (3) ~ (all_4_19 = e2) % 72.30/11.64 % 72.30/11.64 Begin of proof % 72.30/11.64 | % 72.30/11.64 | COMBINE_EQS: (1), (2) imply: % 72.30/11.64 | (4) all_4_19 = e2 % 72.30/11.64 | % 72.30/11.64 | SIMP: (4) implies: % 72.30/11.64 | (5) all_4_19 = e2 % 72.30/11.64 | % 72.30/11.64 | REDUCE: (3), (5) imply: % 72.30/11.64 | (6) $false % 72.30/11.64 | % 72.30/11.64 | CLOSE: (6) is inconsistent. % 72.30/11.64 | % 72.30/11.64 End of proof % 72.30/11.64 % 72.30/11.64 Sub-proof #75 shows that the following formulas are inconsistent: % 72.30/11.64 ---------------------------------------------------------------- % 72.30/11.64 (1) all_6_23 = e3 | all_6_23 = e0 % 72.30/11.64 (2) all_6_23 = all_4_19 % 72.30/11.64 (3) ~ (all_4_19 = e3) % 72.30/11.64 (4) ~ (all_4_19 = e0) % 72.30/11.64 % 72.30/11.64 Begin of proof % 72.30/11.64 | % 72.30/11.64 | BETA: splitting (1) gives: % 72.30/11.64 | % 72.30/11.64 | Case 1: % 72.30/11.64 | | % 72.30/11.64 | | (5) all_6_23 = e3 % 72.30/11.64 | | % 72.30/11.64 | | COMBINE_EQS: (2), (5) imply: % 72.30/11.64 | | (6) all_4_19 = e3 % 72.30/11.64 | | % 72.30/11.64 | | SIMP: (6) implies: % 72.30/11.64 | | (7) all_4_19 = e3 % 72.30/11.64 | | % 72.30/11.64 | | REDUCE: (3), (7) imply: % 72.30/11.64 | | (8) $false % 72.30/11.64 | | % 72.30/11.64 | | CLOSE: (8) is inconsistent. % 72.30/11.64 | | % 72.30/11.64 | Case 2: % 72.30/11.64 | | % 72.30/11.64 | | (9) all_6_23 = e0 % 72.30/11.64 | | % 72.30/11.64 | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #76. % 72.30/11.64 | | % 72.30/11.64 | End of split % 72.30/11.64 | % 72.30/11.64 End of proof % 72.30/11.64 % 72.30/11.64 Sub-proof #76 shows that the following formulas are inconsistent: % 72.30/11.64 ---------------------------------------------------------------- % 72.30/11.64 (1) all_6_23 = all_4_19 % 72.30/11.64 (2) all_6_23 = e0 % 72.30/11.64 (3) ~ (all_4_19 = e0) % 72.30/11.64 % 72.30/11.64 Begin of proof % 72.30/11.64 | % 72.30/11.64 | COMBINE_EQS: (1), (2) imply: % 72.30/11.64 | (4) all_4_19 = e0 % 72.30/11.64 | % 72.30/11.64 | SIMP: (4) implies: % 72.30/11.64 | (5) all_4_19 = e0 % 72.30/11.64 | % 72.30/11.64 | REDUCE: (3), (5) imply: % 72.30/11.64 | (6) $false % 72.30/11.64 | % 72.30/11.64 | CLOSE: (6) is inconsistent. % 72.30/11.64 | % 72.30/11.64 End of proof % 72.30/11.64 % 72.30/11.64 Sub-proof #77 shows that the following formulas are inconsistent: % 72.30/11.64 ---------------------------------------------------------------- % 72.30/11.64 (1) ~ (all_4_5 = e0) % 72.30/11.64 (2) ~ (all_4_5 = e3) % 72.30/11.64 (3) ~ (all_4_5 = e2) % 72.30/11.64 (4) all_6_1 = all_4_5 % 72.30/11.64 (5) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e0 % 72.30/11.64 % 72.30/11.64 Begin of proof % 72.30/11.64 | % 72.30/11.64 | BETA: splitting (5) gives: % 72.30/11.64 | % 72.30/11.64 | Case 1: % 72.30/11.64 | | % 72.30/11.64 | | (6) all_6_1 = e2 % 72.30/11.64 | | % 72.30/11.64 | | COMBINE_EQS: (4), (6) imply: % 72.30/11.64 | | (7) all_4_5 = e2 % 72.30/11.64 | | % 72.30/11.64 | | REDUCE: (3), (7) imply: % 72.30/11.64 | | (8) $false % 72.30/11.64 | | % 72.30/11.64 | | CLOSE: (8) is inconsistent. % 72.30/11.64 | | % 72.30/11.64 | Case 2: % 72.30/11.64 | | % 72.30/11.64 | | (9) all_6_1 = e3 | all_6_1 = e0 % 72.30/11.64 | | % 72.30/11.64 | | REF_CLOSE: (1), (2), (4), (9) are inconsistent by sub-proof #187. % 72.30/11.64 | | % 72.30/11.64 | End of split % 72.30/11.64 | % 72.30/11.64 End of proof % 72.30/11.64 % 72.30/11.64 Sub-proof #78 shows that the following formulas are inconsistent: % 72.30/11.64 ---------------------------------------------------------------- % 72.30/11.64 (1) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 = all_8_62)) | % 72.30/11.64 (all_8_26 = e2 & ~ (all_8_25 = e0) & ~ (all_8_58 = all_8_67)) % 72.30/11.64 (2) all_8_24 = e3 % 72.30/11.64 (3) ~ (e3 = e2) % 72.30/11.64 (4) all_8_25 = e0 % 72.30/11.64 % 72.30/11.64 Begin of proof % 72.30/11.64 | % 72.30/11.64 | BETA: splitting (1) gives: % 72.30/11.64 | % 72.30/11.64 | Case 1: % 72.30/11.64 | | % 72.30/11.64 | | (5) all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 = all_8_62) % 72.30/11.64 | | % 72.30/11.64 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #209. % 72.30/11.64 | | % 72.30/11.64 | Case 2: % 72.30/11.64 | | % 72.30/11.64 | | (6) all_8_26 = e2 & ~ (all_8_25 = e0) & ~ (all_8_58 = all_8_67) % 72.30/11.64 | | % 72.30/11.64 | | ALPHA: (6) implies: % 72.30/11.64 | | (7) ~ (all_8_25 = e0) % 72.30/11.64 | | % 72.30/11.64 | | REDUCE: (4), (7) imply: % 72.30/11.64 | | (8) $false % 72.30/11.64 | | % 72.30/11.64 | | CLOSE: (8) is inconsistent. % 72.30/11.64 | | % 72.30/11.64 | End of split % 72.30/11.64 | % 72.30/11.64 End of proof % 72.30/11.64 % 72.30/11.64 Sub-proof #79 shows that the following formulas are inconsistent: % 72.30/11.64 ---------------------------------------------------------------- % 72.30/11.64 (1) all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 = all_8_55) % 72.30/11.64 (2) all_8_19 = e0 % 72.30/11.64 (3) ~ (e2 = e0) % 72.30/11.64 % 72.30/11.64 Begin of proof % 72.30/11.64 | % 72.30/11.64 | ALPHA: (1) implies: % 72.30/11.64 | (4) all_8_19 = e2 % 72.30/11.64 | % 72.30/11.64 | COMBINE_EQS: (2), (4) imply: % 72.30/11.64 | (5) e2 = e0 % 72.30/11.64 | % 72.30/11.64 | SIMP: (5) implies: % 72.30/11.64 | (6) e2 = e0 % 72.30/11.64 | % 72.30/11.64 | REDUCE: (3), (6) imply: % 72.30/11.64 | (7) $false % 72.30/11.64 | % 72.30/11.64 | CLOSE: (7) is inconsistent. % 72.30/11.64 | % 72.30/11.64 End of proof % 72.30/11.64 % 72.30/11.64 Sub-proof #80 shows that the following formulas are inconsistent: % 72.30/11.64 ---------------------------------------------------------------- % 72.30/11.64 (1) all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50) % 72.30/11.64 (2) all_8_10 = e1 % 72.30/11.64 (3) ~ (e3 = e1) % 72.30/11.64 % 72.30/11.64 Begin of proof % 72.30/11.64 | % 72.30/11.64 | ALPHA: (1) implies: % 72.30/11.64 | (4) all_8_10 = e3 % 72.30/11.64 | % 72.30/11.64 | COMBINE_EQS: (2), (4) imply: % 72.30/11.64 | (5) e3 = e1 % 72.30/11.64 | % 72.30/11.64 | SIMP: (5) implies: % 72.30/11.64 | (6) e3 = e1 % 72.30/11.64 | % 72.30/11.64 | REDUCE: (3), (6) imply: % 72.30/11.64 | (7) $false % 72.30/11.64 | % 72.30/11.64 | CLOSE: (7) is inconsistent. % 72.30/11.64 | % 72.30/11.64 End of proof % 72.30/11.64 % 72.30/11.64 Sub-proof #81 shows that the following formulas are inconsistent: % 72.30/11.64 ---------------------------------------------------------------- % 72.30/11.64 (1) all_10_24 = e3 % 72.30/11.64 (2) all_10_24 = e0 % 72.30/11.64 (3) ~ (e3 = e0) % 72.30/11.64 % 72.30/11.64 Begin of proof % 72.30/11.64 | % 72.30/11.64 | COMBINE_EQS: (1), (2) imply: % 72.30/11.64 | (4) e3 = e0 % 72.30/11.64 | % 72.30/11.64 | SIMP: (4) implies: % 72.30/11.64 | (5) e3 = e0 % 72.30/11.64 | % 72.30/11.64 | REDUCE: (3), (5) imply: % 72.30/11.64 | (6) $false % 72.30/11.64 | % 72.30/11.64 | CLOSE: (6) is inconsistent. % 72.30/11.64 | % 72.30/11.64 End of proof % 72.30/11.64 % 72.30/11.64 Sub-proof #82 shows that the following formulas are inconsistent: % 72.30/11.64 ---------------------------------------------------------------- % 72.30/11.64 (1) all_6_4 = all_4_20 % 72.30/11.64 (2) all_6_4 = e2 % 72.30/11.64 (3) ~ (all_4_20 = e2) % 72.30/11.64 % 72.30/11.64 Begin of proof % 72.30/11.64 | % 72.30/11.64 | COMBINE_EQS: (1), (2) imply: % 72.30/11.64 | (4) all_4_20 = e2 % 72.30/11.64 | % 72.30/11.64 | SIMP: (4) implies: % 72.30/11.64 | (5) all_4_20 = e2 % 72.30/11.64 | % 72.30/11.64 | REDUCE: (3), (5) imply: % 72.30/11.64 | (6) $false % 72.30/11.64 | % 72.30/11.64 | CLOSE: (6) is inconsistent. % 72.30/11.64 | % 72.30/11.64 End of proof % 72.30/11.64 % 72.30/11.64 Sub-proof #83 shows that the following formulas are inconsistent: % 72.30/11.64 ---------------------------------------------------------------- % 72.30/11.64 (1) all_6_4 = all_4_20 % 72.30/11.64 (2) all_6_4 = e4 % 72.30/11.64 (3) ~ (all_4_20 = e4) % 72.30/11.64 % 72.30/11.64 Begin of proof % 72.30/11.64 | % 72.30/11.64 | COMBINE_EQS: (1), (2) imply: % 72.30/11.64 | (4) all_4_20 = e4 % 72.30/11.64 | % 72.30/11.64 | SIMP: (4) implies: % 72.30/11.64 | (5) all_4_20 = e4 % 72.30/11.64 | % 72.30/11.64 | REDUCE: (3), (5) imply: % 72.30/11.64 | (6) $false % 72.30/11.64 | % 72.30/11.64 | CLOSE: (6) is inconsistent. % 72.30/11.64 | % 72.30/11.64 End of proof % 72.30/11.64 % 72.30/11.64 Sub-proof #84 shows that the following formulas are inconsistent: % 72.30/11.64 ---------------------------------------------------------------- % 72.30/11.64 (1) all_6_4 = all_4_20 % 72.30/11.64 (2) all_6_4 = e1 % 72.30/11.64 (3) ~ (all_4_20 = e1) % 72.30/11.64 % 72.30/11.64 Begin of proof % 72.30/11.64 | % 72.30/11.64 | COMBINE_EQS: (1), (2) imply: % 72.30/11.64 | (4) all_4_20 = e1 % 72.30/11.64 | % 72.30/11.64 | SIMP: (4) implies: % 72.30/11.64 | (5) all_4_20 = e1 % 72.30/11.64 | % 72.30/11.64 | REDUCE: (3), (5) imply: % 72.30/11.64 | (6) $false % 72.30/11.64 | % 72.30/11.64 | CLOSE: (6) is inconsistent. % 72.30/11.64 | % 72.30/11.64 End of proof % 72.30/11.64 % 72.30/11.64 Sub-proof #85 shows that the following formulas are inconsistent: % 72.30/11.64 ---------------------------------------------------------------- % 72.30/11.65 (1) all_6_24 = e4 | all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e0 % 72.30/11.65 (2) all_10_20 = all_4_4 % 72.30/11.65 (3) ~ (all_4_1 = e0) % 72.30/11.65 (4) all_10_0 = all_4_0 % 72.30/11.65 (5) all_10_2 = all_4_1 % 72.30/11.65 (6) ~ (all_4_24 = e4) % 72.30/11.65 (7) all_10_12 = all_4_3 % 72.30/11.65 (8) ~ (all_4_4 = all_4_24) % 72.30/11.65 (9) ~ (e3 = e0) % 72.30/11.65 (10) all_6_24 = all_4_24 % 72.30/11.65 (11) ~ (all_4_0 = e0) % 72.30/11.65 (12) all_10_6 = e3 % 72.30/11.65 (13) ~ (all_4_3 = e0) % 72.30/11.65 (14) ~ (all_4_24 = e3) % 72.30/11.65 (15) all_10_0 = e0 | all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 | % 72.30/11.65 all_10_20 = e0 % 72.30/11.65 (16) ~ (all_4_24 = e2) % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | BETA: splitting (15) gives: % 72.30/11.65 | % 72.30/11.65 | Case 1: % 72.30/11.65 | | % 72.30/11.65 | | (17) all_10_0 = e0 % 72.30/11.65 | | % 72.30/11.65 | | COMBINE_EQS: (4), (17) imply: % 72.30/11.65 | | (18) all_4_0 = e0 % 72.30/11.65 | | % 72.30/11.65 | | REDUCE: (11), (18) imply: % 72.30/11.65 | | (19) $false % 72.30/11.65 | | % 72.30/11.65 | | CLOSE: (19) is inconsistent. % 72.30/11.65 | | % 72.30/11.65 | Case 2: % 72.30/11.65 | | % 72.30/11.65 | | (20) all_10_2 = e0 | all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0 % 72.30/11.65 | | % 72.30/11.65 | | BETA: splitting (1) gives: % 72.30/11.65 | | % 72.30/11.65 | | Case 1: % 72.30/11.65 | | | % 72.30/11.65 | | | (21) all_6_24 = e4 % 72.30/11.65 | | | % 72.30/11.65 | | | REF_CLOSE: (6), (10), (21) are inconsistent by sub-proof #225. % 72.30/11.65 | | | % 72.30/11.65 | | Case 2: % 72.30/11.65 | | | % 72.30/11.65 | | | (22) all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e0 % 72.30/11.65 | | | % 72.30/11.65 | | | BETA: splitting (22) gives: % 72.30/11.65 | | | % 72.30/11.65 | | | Case 1: % 72.30/11.65 | | | | % 72.30/11.65 | | | | (23) all_6_24 = e2 % 72.30/11.65 | | | | % 72.30/11.65 | | | | REF_CLOSE: (10), (16), (23) are inconsistent by sub-proof #222. % 72.30/11.65 | | | | % 72.30/11.65 | | | Case 2: % 72.30/11.65 | | | | % 72.30/11.65 | | | | (24) all_6_24 = e3 | all_6_24 = e0 % 72.30/11.65 | | | | % 72.30/11.65 | | | | BETA: splitting (20) gives: % 72.30/11.65 | | | | % 72.30/11.65 | | | | Case 1: % 72.30/11.65 | | | | | % 72.30/11.65 | | | | | (25) all_10_2 = e0 % 72.30/11.65 | | | | | % 72.30/11.65 | | | | | REF_CLOSE: (3), (5), (25) are inconsistent by sub-proof #227. % 72.30/11.65 | | | | | % 72.30/11.65 | | | | Case 2: % 72.30/11.65 | | | | | % 72.30/11.65 | | | | | (26) all_10_6 = e0 | all_10_12 = e0 | all_10_20 = e0 % 72.30/11.65 | | | | | % 72.30/11.65 | | | | | BETA: splitting (26) gives: % 72.30/11.65 | | | | | % 72.30/11.65 | | | | | Case 1: % 72.30/11.65 | | | | | | % 72.30/11.65 | | | | | | (27) all_10_6 = e0 % 72.30/11.65 | | | | | | % 72.30/11.65 | | | | | | REF_CLOSE: (9), (12), (27) are inconsistent by sub-proof #131. % 72.30/11.65 | | | | | | % 72.30/11.65 | | | | | Case 2: % 72.30/11.65 | | | | | | % 72.30/11.65 | | | | | | (28) all_10_12 = e0 | all_10_20 = e0 % 72.30/11.65 | | | | | | % 72.30/11.65 | | | | | | BETA: splitting (28) gives: % 72.30/11.65 | | | | | | % 72.30/11.65 | | | | | | Case 1: % 72.30/11.65 | | | | | | | % 72.30/11.65 | | | | | | | (29) all_10_12 = e0 % 72.30/11.65 | | | | | | | % 72.30/11.65 | | | | | | | COMBINE_EQS: (7), (29) imply: % 72.30/11.65 | | | | | | | (30) all_4_3 = e0 % 72.30/11.65 | | | | | | | % 72.30/11.65 | | | | | | | SIMP: (30) implies: % 72.30/11.65 | | | | | | | (31) all_4_3 = e0 % 72.30/11.65 | | | | | | | % 72.30/11.65 | | | | | | | REDUCE: (13), (31) imply: % 72.30/11.65 | | | | | | | (32) $false % 72.30/11.65 | | | | | | | % 72.30/11.65 | | | | | | | CLOSE: (32) is inconsistent. % 72.30/11.65 | | | | | | | % 72.30/11.65 | | | | | | Case 2: % 72.30/11.65 | | | | | | | % 72.30/11.65 | | | | | | | (33) all_10_20 = e0 % 72.30/11.65 | | | | | | | % 72.30/11.65 | | | | | | | COMBINE_EQS: (2), (33) imply: % 72.30/11.65 | | | | | | | (34) all_4_4 = e0 % 72.30/11.65 | | | | | | | % 72.30/11.65 | | | | | | | SIMP: (34) implies: % 72.30/11.65 | | | | | | | (35) all_4_4 = e0 % 72.30/11.65 | | | | | | | % 72.30/11.65 | | | | | | | REDUCE: (8), (35) imply: % 72.30/11.65 | | | | | | | (36) ~ (all_4_24 = e0) % 72.30/11.65 | | | | | | | % 72.30/11.65 | | | | | | | SIMP: (36) implies: % 72.30/11.65 | | | | | | | (37) ~ (all_4_24 = e0) % 72.30/11.65 | | | | | | | % 72.30/11.65 | | | | | | | REF_CLOSE: (10), (14), (24), (37) are inconsistent by sub-proof % 72.30/11.65 | | | | | | | #119. % 72.30/11.65 | | | | | | | % 72.30/11.65 | | | | | | End of split % 72.30/11.65 | | | | | | % 72.30/11.65 | | | | | End of split % 72.30/11.65 | | | | | % 72.30/11.65 | | | | End of split % 72.30/11.65 | | | | % 72.30/11.65 | | | End of split % 72.30/11.65 | | | % 72.30/11.65 | | End of split % 72.30/11.65 | | % 72.30/11.65 | End of split % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #86 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) ~ (all_4_6 = e0) % 72.30/11.65 (2) all_10_21 = all_4_9 % 72.30/11.65 (3) all_10_7 = all_4_7 % 72.30/11.65 (4) ~ (all_4_9 = e0) % 72.30/11.65 (5) all_10_13 = all_4_8 % 72.30/11.65 (6) all_10_3 = all_4_6 % 72.30/11.65 (7) ~ (all_4_8 = e0) % 72.30/11.65 (8) ~ (all_4_7 = e0) % 72.30/11.65 (9) all_10_3 = e0 | all_10_7 = e0 | all_10_13 = e0 | all_10_21 = e0 % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | BETA: splitting (9) gives: % 72.30/11.65 | % 72.30/11.65 | Case 1: % 72.30/11.65 | | % 72.30/11.65 | | (10) all_10_3 = e0 % 72.30/11.65 | | % 72.30/11.65 | | COMBINE_EQS: (6), (10) imply: % 72.30/11.65 | | (11) all_4_6 = e0 % 72.30/11.65 | | % 72.30/11.65 | | REDUCE: (1), (11) imply: % 72.30/11.65 | | (12) $false % 72.30/11.65 | | % 72.30/11.65 | | CLOSE: (12) is inconsistent. % 72.30/11.65 | | % 72.30/11.65 | Case 2: % 72.30/11.65 | | % 72.30/11.65 | | (13) all_10_7 = e0 | all_10_13 = e0 | all_10_21 = e0 % 72.30/11.65 | | % 72.30/11.65 | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (13) are inconsistent by sub-proof % 72.30/11.65 | | #87. % 72.30/11.65 | | % 72.30/11.65 | End of split % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #87 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) all_10_21 = all_4_9 % 72.30/11.65 (2) all_10_7 = all_4_7 % 72.30/11.65 (3) ~ (all_4_9 = e0) % 72.30/11.65 (4) all_10_7 = e0 | all_10_13 = e0 | all_10_21 = e0 % 72.30/11.65 (5) all_10_13 = all_4_8 % 72.30/11.65 (6) ~ (all_4_8 = e0) % 72.30/11.65 (7) ~ (all_4_7 = e0) % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | BETA: splitting (4) gives: % 72.30/11.65 | % 72.30/11.65 | Case 1: % 72.30/11.65 | | % 72.30/11.65 | | (8) all_10_7 = e0 % 72.30/11.65 | | % 72.30/11.65 | | COMBINE_EQS: (2), (8) imply: % 72.30/11.65 | | (9) all_4_7 = e0 % 72.30/11.65 | | % 72.30/11.65 | | REDUCE: (7), (9) imply: % 72.30/11.65 | | (10) $false % 72.30/11.65 | | % 72.30/11.65 | | CLOSE: (10) is inconsistent. % 72.30/11.65 | | % 72.30/11.65 | Case 2: % 72.30/11.65 | | % 72.30/11.65 | | (11) all_10_13 = e0 | all_10_21 = e0 % 72.30/11.65 | | % 72.30/11.65 | | BETA: splitting (11) gives: % 72.30/11.65 | | % 72.30/11.65 | | Case 1: % 72.30/11.65 | | | % 72.30/11.65 | | | (12) all_10_13 = e0 % 72.30/11.65 | | | % 72.30/11.65 | | | COMBINE_EQS: (5), (12) imply: % 72.30/11.65 | | | (13) all_4_8 = e0 % 72.30/11.65 | | | % 72.30/11.65 | | | SIMP: (13) implies: % 72.30/11.65 | | | (14) all_4_8 = e0 % 72.30/11.65 | | | % 72.30/11.65 | | | REDUCE: (6), (14) imply: % 72.30/11.65 | | | (15) $false % 72.30/11.65 | | | % 72.30/11.65 | | | CLOSE: (15) is inconsistent. % 72.30/11.65 | | | % 72.30/11.65 | | Case 2: % 72.30/11.65 | | | % 72.30/11.65 | | | (16) all_10_21 = e0 % 72.30/11.65 | | | % 72.30/11.65 | | | COMBINE_EQS: (1), (16) imply: % 72.30/11.65 | | | (17) all_4_9 = e0 % 72.30/11.65 | | | % 72.30/11.65 | | | SIMP: (17) implies: % 72.30/11.65 | | | (18) all_4_9 = e0 % 72.30/11.65 | | | % 72.30/11.65 | | | REDUCE: (3), (18) imply: % 72.30/11.65 | | | (19) $false % 72.30/11.65 | | | % 72.30/11.65 | | | CLOSE: (19) is inconsistent. % 72.30/11.65 | | | % 72.30/11.65 | | End of split % 72.30/11.65 | | % 72.30/11.65 | End of split % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #88 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) ~ (e4 = e2) % 72.30/11.65 (2) ~ (e4 = e0) % 72.30/11.65 (3) all_10_24 = e0 % 72.30/11.65 (4) ~ (e4 = e1) % 72.30/11.65 (5) all_10_19 = e1 % 72.30/11.65 (6) all_10_18 = e4 | all_10_19 = e4 | all_10_24 = e4 % 72.30/11.65 (7) all_10_18 = e2 % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | BETA: splitting (6) gives: % 72.30/11.65 | % 72.30/11.65 | Case 1: % 72.30/11.65 | | % 72.30/11.65 | | (8) all_10_18 = e4 % 72.30/11.65 | | % 72.30/11.65 | | COMBINE_EQS: (7), (8) imply: % 72.30/11.65 | | (9) e4 = e2 % 72.30/11.65 | | % 72.30/11.65 | | SIMP: (9) implies: % 72.30/11.65 | | (10) e4 = e2 % 72.30/11.65 | | % 72.30/11.65 | | REDUCE: (1), (10) imply: % 72.30/11.65 | | (11) $false % 72.30/11.65 | | % 72.30/11.65 | | CLOSE: (11) is inconsistent. % 72.30/11.65 | | % 72.30/11.65 | Case 2: % 72.30/11.65 | | % 72.30/11.65 | | (12) all_10_19 = e4 | all_10_24 = e4 % 72.30/11.65 | | % 72.30/11.65 | | BETA: splitting (12) gives: % 72.30/11.65 | | % 72.30/11.65 | | Case 1: % 72.30/11.65 | | | % 72.30/11.65 | | | (13) all_10_19 = e4 % 72.30/11.65 | | | % 72.30/11.65 | | | COMBINE_EQS: (5), (13) imply: % 72.30/11.65 | | | (14) e4 = e1 % 72.30/11.65 | | | % 72.30/11.65 | | | SIMP: (14) implies: % 72.30/11.65 | | | (15) e4 = e1 % 72.30/11.65 | | | % 72.30/11.65 | | | REDUCE: (4), (15) imply: % 72.30/11.65 | | | (16) $false % 72.30/11.65 | | | % 72.30/11.65 | | | CLOSE: (16) is inconsistent. % 72.30/11.65 | | | % 72.30/11.65 | | Case 2: % 72.30/11.65 | | | % 72.30/11.65 | | | (17) all_10_24 = e4 % 72.30/11.65 | | | % 72.30/11.65 | | | COMBINE_EQS: (3), (17) imply: % 72.30/11.65 | | | (18) e4 = e0 % 72.30/11.65 | | | % 72.30/11.65 | | | REDUCE: (2), (18) imply: % 72.30/11.65 | | | (19) $false % 72.30/11.65 | | | % 72.30/11.65 | | | CLOSE: (19) is inconsistent. % 72.30/11.65 | | | % 72.30/11.65 | | End of split % 72.30/11.65 | | % 72.30/11.65 | End of split % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #89 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0 % 72.30/11.65 (2) ~ (all_4_17 = e2) % 72.30/11.65 (3) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 | all_6_11 % 72.30/11.65 = e0 % 72.30/11.65 (4) ~ (all_4_7 = e3) % 72.30/11.65 (5) ~ (all_4_7 = all_4_17) % 72.30/11.65 (6) ~ (all_4_7 = e1) % 72.30/11.65 (7) all_6_13 = all_4_17 % 72.30/11.65 (8) ~ (all_4_7 = e0) % 72.30/11.65 (9) all_6_11 = all_4_7 % 72.30/11.65 (10) ~ (all_4_17 = e3) % 72.30/11.65 (11) ~ (all_4_17 = e0) % 72.30/11.65 (12) ~ (all_4_7 = e2) % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | BETA: splitting (3) gives: % 72.30/11.65 | % 72.30/11.65 | Case 1: % 72.30/11.65 | | % 72.30/11.65 | | (13) all_6_11 = e1 % 72.30/11.65 | | % 72.30/11.65 | | REF_CLOSE: (6), (9), (13) are inconsistent by sub-proof #91. % 72.30/11.65 | | % 72.30/11.65 | Case 2: % 72.30/11.65 | | % 72.30/11.65 | | (14) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e0 % 72.30/11.65 | | % 72.30/11.65 | | BETA: splitting (14) gives: % 72.30/11.65 | | % 72.30/11.65 | | Case 1: % 72.30/11.65 | | | % 72.30/11.65 | | | (15) all_6_11 = e4 % 72.30/11.65 | | | % 72.30/11.65 | | | COMBINE_EQS: (9), (15) imply: % 72.30/11.65 | | | (16) all_4_7 = e4 % 72.30/11.65 | | | % 72.30/11.65 | | | SIMP: (16) implies: % 72.30/11.65 | | | (17) all_4_7 = e4 % 72.30/11.65 | | | % 72.30/11.65 | | | REDUCE: (5), (17) imply: % 72.30/11.65 | | | (18) ~ (all_4_17 = e4) % 72.30/11.65 | | | % 72.30/11.65 | | | SIMP: (18) implies: % 72.30/11.65 | | | (19) ~ (all_4_17 = e4) % 72.30/11.65 | | | % 72.30/11.65 | | | REF_CLOSE: (1), (2), (7), (10), (11), (19) are inconsistent by sub-proof % 72.30/11.65 | | | #90. % 72.30/11.65 | | | % 72.30/11.65 | | Case 2: % 72.30/11.65 | | | % 72.30/11.65 | | | (20) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e0 % 72.30/11.65 | | | % 72.30/11.65 | | | REF_CLOSE: (4), (8), (9), (12), (20) are inconsistent by sub-proof #169. % 72.30/11.65 | | | % 72.30/11.65 | | End of split % 72.30/11.65 | | % 72.30/11.65 | End of split % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #90 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0 % 72.30/11.65 (2) ~ (all_4_17 = e2) % 72.30/11.65 (3) all_6_13 = all_4_17 % 72.30/11.65 (4) ~ (all_4_17 = e3) % 72.30/11.65 (5) ~ (all_4_17 = e0) % 72.30/11.65 (6) ~ (all_4_17 = e4) % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | BETA: splitting (1) gives: % 72.30/11.65 | % 72.30/11.65 | Case 1: % 72.30/11.65 | | % 72.30/11.65 | | (7) all_6_13 = e4 % 72.30/11.65 | | % 72.30/11.65 | | COMBINE_EQS: (3), (7) imply: % 72.30/11.65 | | (8) all_4_17 = e4 % 72.30/11.65 | | % 72.30/11.65 | | SIMP: (8) implies: % 72.30/11.65 | | (9) all_4_17 = e4 % 72.30/11.65 | | % 72.30/11.65 | | REDUCE: (6), (9) imply: % 72.30/11.65 | | (10) $false % 72.30/11.65 | | % 72.30/11.65 | | CLOSE: (10) is inconsistent. % 72.30/11.65 | | % 72.30/11.65 | Case 2: % 72.30/11.65 | | % 72.30/11.65 | | (11) all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0 % 72.30/11.65 | | % 72.30/11.65 | | REF_CLOSE: (2), (3), (4), (5), (11) are inconsistent by sub-proof #231. % 72.30/11.65 | | % 72.30/11.65 | End of split % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #91 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) all_6_11 = all_4_7 % 72.30/11.65 (2) all_6_11 = e1 % 72.30/11.65 (3) ~ (all_4_7 = e1) % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | COMBINE_EQS: (1), (2) imply: % 72.30/11.65 | (4) all_4_7 = e1 % 72.30/11.65 | % 72.30/11.65 | SIMP: (4) implies: % 72.30/11.65 | (5) all_4_7 = e1 % 72.30/11.65 | % 72.30/11.65 | REDUCE: (3), (5) imply: % 72.30/11.65 | (6) $false % 72.30/11.65 | % 72.30/11.65 | CLOSE: (6) is inconsistent. % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #92 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) all_10_20 = all_4_4 % 72.30/11.65 (2) ~ (all_4_3 = e1) % 72.30/11.65 (3) all_10_12 = all_4_3 % 72.30/11.65 (4) ~ (e3 = e1) % 72.30/11.65 (5) ~ (all_4_4 = e1) % 72.30/11.65 (6) all_10_6 = e1 | all_10_12 = e1 | all_10_20 = e1 % 72.30/11.65 (7) all_10_6 = e3 % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | BETA: splitting (6) gives: % 72.30/11.65 | % 72.30/11.65 | Case 1: % 72.30/11.65 | | % 72.30/11.65 | | (8) all_10_6 = e1 % 72.30/11.65 | | % 72.30/11.65 | | REF_CLOSE: (4), (7), (8) are inconsistent by sub-proof #245. % 72.30/11.65 | | % 72.30/11.65 | Case 2: % 72.30/11.65 | | % 72.30/11.65 | | (9) all_10_12 = e1 | all_10_20 = e1 % 72.30/11.65 | | % 72.30/11.65 | | BETA: splitting (9) gives: % 72.30/11.65 | | % 72.30/11.65 | | Case 1: % 72.30/11.65 | | | % 72.30/11.65 | | | (10) all_10_12 = e1 % 72.30/11.65 | | | % 72.30/11.65 | | | REF_CLOSE: (2), (3), (10) are inconsistent by sub-proof #94. % 72.30/11.65 | | | % 72.30/11.65 | | Case 2: % 72.30/11.65 | | | % 72.30/11.65 | | | (11) all_10_20 = e1 % 72.30/11.65 | | | % 72.30/11.65 | | | REF_CLOSE: (1), (5), (11) are inconsistent by sub-proof #93. % 72.30/11.65 | | | % 72.30/11.65 | | End of split % 72.30/11.65 | | % 72.30/11.65 | End of split % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #93 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) all_10_20 = all_4_4 % 72.30/11.65 (2) all_10_20 = e1 % 72.30/11.65 (3) ~ (all_4_4 = e1) % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | COMBINE_EQS: (1), (2) imply: % 72.30/11.65 | (4) all_4_4 = e1 % 72.30/11.65 | % 72.30/11.65 | SIMP: (4) implies: % 72.30/11.65 | (5) all_4_4 = e1 % 72.30/11.65 | % 72.30/11.65 | REDUCE: (3), (5) imply: % 72.30/11.65 | (6) $false % 72.30/11.65 | % 72.30/11.65 | CLOSE: (6) is inconsistent. % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #94 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) all_10_12 = all_4_3 % 72.30/11.65 (2) all_10_12 = e1 % 72.30/11.65 (3) ~ (all_4_3 = e1) % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | COMBINE_EQS: (1), (2) imply: % 72.30/11.65 | (4) all_4_3 = e1 % 72.30/11.65 | % 72.30/11.65 | SIMP: (4) implies: % 72.30/11.65 | (5) all_4_3 = e1 % 72.30/11.65 | % 72.30/11.65 | REDUCE: (3), (5) imply: % 72.30/11.65 | (6) $false % 72.30/11.65 | % 72.30/11.65 | CLOSE: (6) is inconsistent. % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #95 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) all_10_20 = e2 % 72.30/11.65 (2) all_10_20 = e1 % 72.30/11.65 (3) ~ (e2 = e1) % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | COMBINE_EQS: (1), (2) imply: % 72.30/11.65 | (4) e2 = e1 % 72.30/11.65 | % 72.30/11.65 | SIMP: (4) implies: % 72.30/11.65 | (5) e2 = e1 % 72.30/11.65 | % 72.30/11.65 | REDUCE: (3), (5) imply: % 72.30/11.65 | (6) $false % 72.30/11.65 | % 72.30/11.65 | CLOSE: (6) is inconsistent. % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #96 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) ~ (all_4_9 = e0) % 72.30/11.65 (2) all_6_21 = all_4_9 % 72.30/11.65 (3) ~ (all_4_9 = e2) % 72.30/11.65 (4) ~ (all_4_9 = e3) % 72.30/11.65 (5) all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e0 % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | BETA: splitting (5) gives: % 72.30/11.65 | % 72.30/11.65 | Case 1: % 72.30/11.65 | | % 72.30/11.65 | | (6) all_6_21 = e2 % 72.30/11.65 | | % 72.30/11.65 | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #154. % 72.30/11.65 | | % 72.30/11.65 | Case 2: % 72.30/11.65 | | % 72.30/11.65 | | (7) all_6_21 = e3 | all_6_21 = e0 % 72.30/11.65 | | % 72.30/11.65 | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #122. % 72.30/11.65 | | % 72.30/11.65 | End of split % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #97 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) all_6_17 = all_4_13 % 72.30/11.65 (2) ~ (all_4_13 = e0) % 72.30/11.65 (3) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e0 % 72.30/11.65 (4) ~ (all_4_13 = e2) % 72.30/11.65 (5) ~ (all_4_13 = e3) % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | BETA: splitting (3) gives: % 72.30/11.65 | % 72.30/11.65 | Case 1: % 72.30/11.65 | | % 72.30/11.65 | | (6) all_6_17 = e2 % 72.30/11.65 | | % 72.30/11.65 | | COMBINE_EQS: (1), (6) imply: % 72.30/11.65 | | (7) all_4_13 = e2 % 72.30/11.65 | | % 72.30/11.65 | | REDUCE: (4), (7) imply: % 72.30/11.65 | | (8) $false % 72.30/11.65 | | % 72.30/11.65 | | CLOSE: (8) is inconsistent. % 72.30/11.65 | | % 72.30/11.65 | Case 2: % 72.30/11.65 | | % 72.30/11.65 | | (9) all_6_17 = e3 | all_6_17 = e0 % 72.30/11.65 | | % 72.30/11.65 | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #195. % 72.30/11.65 | | % 72.30/11.65 | End of split % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #98 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = all_8_56) % 72.30/11.65 (2) all_8_21 = e3 % 72.30/11.65 (3) ~ (e3 = e2) % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | ALPHA: (1) implies: % 72.30/11.65 | (4) all_8_21 = e2 % 72.30/11.65 | % 72.30/11.65 | COMBINE_EQS: (2), (4) imply: % 72.30/11.65 | (5) e3 = e2 % 72.30/11.65 | % 72.30/11.65 | REDUCE: (3), (5) imply: % 72.30/11.65 | (6) $false % 72.30/11.65 | % 72.30/11.65 | CLOSE: (6) is inconsistent. % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #99 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) all_8_45 = e0 % 72.30/11.65 (2) all_8_19 = e0 % 72.30/11.65 (3) op(e0, e4) = e1 % 72.30/11.65 (4) op(e3, e1) = e1 % 72.30/11.65 (5) op(e2, e4) = e3 % 72.30/11.65 (6) e2 = e0 % 72.30/11.65 (7) op(e1, e3) = e3 % 72.30/11.65 (8) all_8_60 = e2 % 72.30/11.65 (9) ~ (e1 = e0) % 72.30/11.65 (10) all_8_3 = e2 % 72.30/11.65 (11) op(e0, e4) = all_8_10 % 72.30/11.65 (12) all_8_66 = e4 % 72.30/11.65 (13) op(e3, e4) = all_8_7 % 72.30/11.65 (14) all_8_47 = e2 % 72.30/11.65 (15) op(e3, e3) = all_8_12 % 72.30/11.65 (16) all_8_58 = e2 % 72.30/11.65 (17) all_8_34 = e0 % 72.30/11.65 (18) all_8_50 = e0 % 72.30/11.65 (19) op(e1, e4) = e2 % 72.30/11.65 (20) all_8_62 = e4 % 72.30/11.65 (21) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = all_8_50)) | (all_8_4 % 72.30/11.65 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & % 72.30/11.65 ~ (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | (all_8_8 = e4 & ~ % 72.30/11.65 (all_8_7 = e0) & ~ (all_8_48 = all_8_65)) | (all_8_10 = e3 & ~ % 72.30/11.65 (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) | (all_8_13 = e3 & ~ % 72.30/11.65 (all_8_12 = e2) & ~ (all_8_51 = all_8_56)) | (all_8_15 = e3 & ~ % 72.30/11.65 (all_8_14 = e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = e3 & ~ % 72.30/11.65 (all_8_16 = e0) & ~ (all_8_53 = all_8_66)) | (all_8_19 = e2 & ~ % 72.30/11.65 (all_8_18 = e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = e2 & ~ % 72.30/11.65 (all_8_20 = e3) & ~ (all_8_51 = all_8_56)) | (all_8_24 = e2 & ~ % 72.30/11.65 (all_8_23 = e1) & ~ (all_8_57 = all_8_62)) | (all_8_26 = e2 & ~ % 72.30/11.65 (all_8_25 = e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = e1 & ~ % 72.30/11.65 (all_8_27 = e4) & ~ (all_8_47 = all_8_60)) | (all_8_30 = e1 & ~ % 72.30/11.65 (all_8_29 = e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = e1 & ~ % 72.30/11.65 (all_8_31 = e2) & ~ (all_8_57 = all_8_62)) | (all_8_35 = e1 & ~ % 72.30/11.65 (all_8_34 = e0) & ~ (all_8_63 = all_8_68)) | (all_8_37 = e0 & ~ % 72.30/11.65 (all_8_36 = e4) & ~ (all_8_48 = all_8_65)) | (all_8_39 = e0 & ~ % 72.30/11.65 (all_8_38 = e3) & ~ (all_8_53 = all_8_66)) | (all_8_41 = e0 & ~ % 72.30/11.65 (all_8_40 = e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = e0 & ~ % 72.30/11.65 (all_8_42 = e1) & ~ (all_8_63 = all_8_68)) % 72.30/11.65 (22) ~ (e2 = e1) % 72.30/11.65 (23) op(e2, e4) = all_8_28 % 72.30/11.65 (24) ~ (e2 = e0) % 72.30/11.65 (25) ~ (e3 = e1) % 72.30/11.65 (26) op(e1, e3) = all_8_21 % 72.30/11.65 (27) ~ (e3 = e0) % 72.30/11.65 (28) op(e3, e1) = all_8_29 % 72.30/11.65 (29) op(e1, e4) = all_8_37 % 72.30/11.65 (30) op(e3, e3) = e2 % 72.30/11.65 (31) all_8_67 = e2 % 72.30/11.65 (32) op(e3, e4) = e0 % 72.30/11.65 (33) op(e0, e4) = all_8_1 % 72.30/11.65 (34) op(e1, e3) = all_8_14 % 72.30/11.65 (35) ~ (e3 = e2) % 72.30/11.65 (36) op(e3, e1) = all_8_43 % 72.30/11.65 (37) op(e3, e3) = all_8_30 % 72.30/11.65 (38) all_8_57 = e4 % 72.30/11.65 (39) op(e2, e4) = all_8_5 % 72.30/11.65 (40) op(e1, e1) = all_8_15 % 72.30/11.65 (41) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 72.30/11.65 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 72.30/11.65 (42) op(e1, e1) = e0 % 72.30/11.65 (43) all_8_53 = e4 % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | SIMP: (6) implies: % 72.30/11.65 | (44) e2 = e0 % 72.30/11.65 | % 72.30/11.65 | COMBINE_EQS: (31), (44) imply: % 72.30/11.65 | (45) all_8_67 = e0 % 72.30/11.65 | % 72.30/11.65 | COMBINE_EQS: (16), (44) imply: % 72.30/11.65 | (46) all_8_58 = e0 % 72.30/11.65 | % 72.30/11.65 | REF_CLOSE: (1), (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (13), % 72.30/11.65 | (14), (15), (17), (18), (19), (20), (21), (22), (23), (24), (25), % 72.30/11.65 | (26), (27), (28), (29), (30), (32), (33), (34), (35), (36), (37), % 72.30/11.65 | (38), (39), (40), (41), (42), (43), (45), (46) are inconsistent by % 72.30/11.65 | sub-proof #124. % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #100 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) ~ (all_4_14 = e2) % 72.30/11.65 (2) all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e0 % 72.30/11.65 (3) all_6_22 = all_4_14 % 72.30/11.65 (4) ~ (all_4_14 = e0) % 72.30/11.65 (5) ~ (all_4_14 = e3) % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | BETA: splitting (2) gives: % 72.30/11.65 | % 72.30/11.65 | Case 1: % 72.30/11.65 | | % 72.30/11.65 | | (6) all_6_22 = e2 % 72.30/11.65 | | % 72.30/11.65 | | COMBINE_EQS: (3), (6) imply: % 72.30/11.65 | | (7) all_4_14 = e2 % 72.30/11.65 | | % 72.30/11.65 | | REDUCE: (1), (7) imply: % 72.30/11.65 | | (8) $false % 72.30/11.65 | | % 72.30/11.65 | | CLOSE: (8) is inconsistent. % 72.30/11.65 | | % 72.30/11.65 | Case 2: % 72.30/11.65 | | % 72.30/11.65 | | (9) all_6_22 = e3 | all_6_22 = e0 % 72.30/11.65 | | % 72.30/11.65 | | REF_CLOSE: (3), (4), (5), (9) are inconsistent by sub-proof #101. % 72.30/11.65 | | % 72.30/11.65 | End of split % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #101 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) all_6_22 = e3 | all_6_22 = e0 % 72.30/11.65 (2) all_6_22 = all_4_14 % 72.30/11.65 (3) ~ (all_4_14 = e3) % 72.30/11.65 (4) ~ (all_4_14 = e0) % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | BETA: splitting (1) gives: % 72.30/11.65 | % 72.30/11.65 | Case 1: % 72.30/11.65 | | % 72.30/11.65 | | (5) all_6_22 = e3 % 72.30/11.65 | | % 72.30/11.65 | | COMBINE_EQS: (2), (5) imply: % 72.30/11.65 | | (6) all_4_14 = e3 % 72.30/11.65 | | % 72.30/11.65 | | SIMP: (6) implies: % 72.30/11.65 | | (7) all_4_14 = e3 % 72.30/11.65 | | % 72.30/11.65 | | REDUCE: (3), (7) imply: % 72.30/11.65 | | (8) $false % 72.30/11.65 | | % 72.30/11.65 | | CLOSE: (8) is inconsistent. % 72.30/11.65 | | % 72.30/11.65 | Case 2: % 72.30/11.65 | | % 72.30/11.65 | | (9) all_6_22 = e0 % 72.30/11.65 | | % 72.30/11.65 | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #102. % 72.30/11.65 | | % 72.30/11.65 | End of split % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #102 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) all_6_22 = all_4_14 % 72.30/11.65 (2) all_6_22 = e0 % 72.30/11.65 (3) ~ (all_4_14 = e0) % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | COMBINE_EQS: (1), (2) imply: % 72.30/11.65 | (4) all_4_14 = e0 % 72.30/11.65 | % 72.30/11.65 | SIMP: (4) implies: % 72.30/11.65 | (5) all_4_14 = e0 % 72.30/11.65 | % 72.30/11.65 | REDUCE: (3), (5) imply: % 72.30/11.65 | (6) $false % 72.30/11.65 | % 72.30/11.65 | CLOSE: (6) is inconsistent. % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #103 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) all_8_43 = e1 % 72.30/11.65 (2) all_8_41 = e1 % 72.30/11.65 (3) ~ (e1 = e0) % 72.30/11.65 (4) all_8_39 = e1 % 72.30/11.65 (5) all_10_12 = e2 % 72.30/11.65 (6) (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = all_8_66)) | % 72.30/11.65 (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = all_8_67)) | % 72.30/11.65 (all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = all_8_68)) % 72.30/11.65 (7) ~ (e2 = e1) % 72.30/11.65 (8) ~ (e3 = e1) % 72.30/11.65 (9) all_10_6 = e1 | all_10_12 = e1 | all_10_20 = e1 % 72.30/11.65 (10) all_10_20 = e1 % 72.30/11.65 (11) all_10_6 = e3 % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | BETA: splitting (6) gives: % 72.30/11.65 | % 72.30/11.65 | Case 1: % 72.30/11.65 | | % 72.30/11.65 | | (12) all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = all_8_66) % 72.30/11.65 | | % 72.30/11.65 | | ALPHA: (12) implies: % 72.30/11.65 | | (13) all_8_39 = e0 % 72.30/11.65 | | % 72.30/11.65 | | COMBINE_EQS: (4), (13) imply: % 72.30/11.65 | | (14) e1 = e0 % 72.30/11.65 | | % 72.30/11.65 | | SIMP: (14) implies: % 72.30/11.65 | | (15) e1 = e0 % 72.30/11.65 | | % 72.30/11.65 | | COMBINE_EQS: (10), (15) imply: % 72.30/11.65 | | (16) all_10_20 = e0 % 72.30/11.65 | | % 72.30/11.65 | | REF_CLOSE: (3), (5), (7), (8), (9), (11), (16) are inconsistent by sub-proof % 72.30/11.65 | | #106. % 72.30/11.65 | | % 72.30/11.65 | Case 2: % 72.30/11.65 | | % 72.30/11.65 | | (17) (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = all_8_67)) | % 72.30/11.65 | | (all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = all_8_68)) % 72.30/11.65 | | % 72.30/11.65 | | BETA: splitting (17) gives: % 72.30/11.65 | | % 72.30/11.65 | | Case 1: % 72.30/11.65 | | | % 72.30/11.65 | | | (18) all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = all_8_67) % 72.30/11.65 | | | % 72.30/11.65 | | | ALPHA: (18) implies: % 72.30/11.65 | | | (19) all_8_41 = e0 % 72.30/11.65 | | | % 72.30/11.65 | | | COMBINE_EQS: (2), (19) imply: % 72.30/11.65 | | | (20) e1 = e0 % 72.30/11.65 | | | % 72.30/11.65 | | | SIMP: (20) implies: % 72.30/11.65 | | | (21) e1 = e0 % 72.30/11.65 | | | % 72.30/11.65 | | | COMBINE_EQS: (10), (21) imply: % 72.30/11.65 | | | (22) all_10_20 = e0 % 72.30/11.65 | | | % 72.30/11.65 | | | REF_CLOSE: (3), (5), (7), (8), (9), (11), (22) are inconsistent by % 72.30/11.65 | | | sub-proof #106. % 72.30/11.65 | | | % 72.30/11.65 | | Case 2: % 72.30/11.65 | | | % 72.30/11.65 | | | (23) all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = all_8_68) % 72.30/11.65 | | | % 72.30/11.65 | | | REF_CLOSE: (1), (3), (5), (7), (8), (9), (10), (11), (23) are inconsistent % 72.30/11.65 | | | by sub-proof #104. % 72.30/11.65 | | | % 72.30/11.65 | | End of split % 72.30/11.65 | | % 72.30/11.65 | End of split % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #104 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) all_8_43 = e1 % 72.30/11.65 (2) ~ (e1 = e0) % 72.30/11.65 (3) all_10_12 = e2 % 72.30/11.65 (4) ~ (e2 = e1) % 72.30/11.65 (5) ~ (e3 = e1) % 72.30/11.65 (6) all_10_6 = e1 | all_10_12 = e1 | all_10_20 = e1 % 72.30/11.65 (7) all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = all_8_68) % 72.30/11.65 (8) all_10_20 = e1 % 72.30/11.65 (9) all_10_6 = e3 % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | ALPHA: (7) implies: % 72.30/11.65 | (10) all_8_43 = e0 % 72.30/11.65 | % 72.30/11.65 | COMBINE_EQS: (1), (10) imply: % 72.30/11.65 | (11) e1 = e0 % 72.30/11.65 | % 72.30/11.65 | SIMP: (11) implies: % 72.30/11.65 | (12) e1 = e0 % 72.30/11.65 | % 72.30/11.65 | COMBINE_EQS: (8), (12) imply: % 72.30/11.65 | (13) all_10_20 = e0 % 72.30/11.65 | % 72.30/11.65 | REF_CLOSE: (2), (3), (4), (5), (6), (9), (13) are inconsistent by sub-proof % 72.30/11.65 | #106. % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #105 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = all_8_62) % 72.30/11.65 (2) all_8_32 = e2 % 72.30/11.65 (3) ~ (e2 = e1) % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | ALPHA: (1) implies: % 72.30/11.65 | (4) all_8_32 = e1 % 72.30/11.65 | % 72.30/11.65 | COMBINE_EQS: (2), (4) imply: % 72.30/11.65 | (5) e2 = e1 % 72.30/11.65 | % 72.30/11.65 | SIMP: (5) implies: % 72.30/11.65 | (6) e2 = e1 % 72.30/11.65 | % 72.30/11.65 | REDUCE: (3), (6) imply: % 72.30/11.65 | (7) $false % 72.30/11.65 | % 72.30/11.65 | CLOSE: (7) is inconsistent. % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #106 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) ~ (e1 = e0) % 72.30/11.65 (2) all_10_12 = e2 % 72.30/11.65 (3) ~ (e2 = e1) % 72.30/11.65 (4) ~ (e3 = e1) % 72.30/11.65 (5) all_10_6 = e1 | all_10_12 = e1 | all_10_20 = e1 % 72.30/11.65 (6) all_10_6 = e3 % 72.30/11.65 (7) all_10_20 = e0 % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | BETA: splitting (5) gives: % 72.30/11.65 | % 72.30/11.65 | Case 1: % 72.30/11.65 | | % 72.30/11.65 | | (8) all_10_6 = e1 % 72.30/11.65 | | % 72.30/11.65 | | REF_CLOSE: (4), (6), (8) are inconsistent by sub-proof #245. % 72.30/11.65 | | % 72.30/11.65 | Case 2: % 72.30/11.65 | | % 72.30/11.65 | | (9) all_10_12 = e1 | all_10_20 = e1 % 72.30/11.65 | | % 72.30/11.65 | | REF_CLOSE: (1), (2), (3), (7), (9) are inconsistent by sub-proof #107. % 72.30/11.65 | | % 72.30/11.65 | End of split % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #107 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) ~ (e1 = e0) % 72.30/11.65 (2) all_10_12 = e2 % 72.30/11.65 (3) ~ (e2 = e1) % 72.30/11.65 (4) all_10_12 = e1 | all_10_20 = e1 % 72.30/11.65 (5) all_10_20 = e0 % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | BETA: splitting (4) gives: % 72.30/11.65 | % 72.30/11.65 | Case 1: % 72.30/11.65 | | % 72.30/11.65 | | (6) all_10_12 = e1 % 72.30/11.65 | | % 72.30/11.65 | | COMBINE_EQS: (2), (6) imply: % 72.30/11.65 | | (7) e2 = e1 % 72.30/11.65 | | % 72.30/11.65 | | SIMP: (7) implies: % 72.30/11.65 | | (8) e2 = e1 % 72.30/11.65 | | % 72.30/11.65 | | REDUCE: (3), (8) imply: % 72.30/11.65 | | (9) $false % 72.30/11.65 | | % 72.30/11.65 | | CLOSE: (9) is inconsistent. % 72.30/11.65 | | % 72.30/11.65 | Case 2: % 72.30/11.65 | | % 72.30/11.65 | | (10) all_10_20 = e1 % 72.30/11.65 | | % 72.30/11.65 | | COMBINE_EQS: (5), (10) imply: % 72.30/11.65 | | (11) e1 = e0 % 72.30/11.65 | | % 72.30/11.65 | | REDUCE: (1), (11) imply: % 72.30/11.65 | | (12) $false % 72.30/11.65 | | % 72.30/11.65 | | CLOSE: (12) is inconsistent. % 72.30/11.65 | | % 72.30/11.65 | End of split % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #108 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 = all_8_62)) | % 72.30/11.65 (all_8_26 = e2 & ~ (all_8_25 = e0) & ~ (all_8_58 = all_8_67)) % 72.30/11.65 (2) all_8_23 = e1 % 72.30/11.65 (3) all_8_25 = e0 % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | BETA: splitting (1) gives: % 72.30/11.65 | % 72.30/11.65 | Case 1: % 72.30/11.65 | | % 72.30/11.65 | | (4) all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 = all_8_62) % 72.30/11.65 | | % 72.30/11.65 | | ALPHA: (4) implies: % 72.30/11.65 | | (5) ~ (all_8_23 = e1) % 72.30/11.65 | | % 72.30/11.65 | | REDUCE: (2), (5) imply: % 72.30/11.65 | | (6) $false % 72.30/11.65 | | % 72.30/11.65 | | CLOSE: (6) is inconsistent. % 72.30/11.65 | | % 72.30/11.65 | Case 2: % 72.30/11.65 | | % 72.30/11.65 | | (7) all_8_26 = e2 & ~ (all_8_25 = e0) & ~ (all_8_58 = all_8_67) % 72.30/11.65 | | % 72.30/11.65 | | ALPHA: (7) implies: % 72.30/11.65 | | (8) ~ (all_8_25 = e0) % 72.30/11.65 | | % 72.30/11.65 | | REDUCE: (3), (8) imply: % 72.30/11.65 | | (9) $false % 72.30/11.65 | | % 72.30/11.65 | | CLOSE: (9) is inconsistent. % 72.30/11.65 | | % 72.30/11.65 | End of split % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #109 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) e2 = e0 % 72.30/11.65 (2) ~ (e4 = e2) % 72.30/11.65 (3) all_10_7 = all_4_7 % 72.30/11.65 (4) ~ (e2 = e0) % 72.30/11.65 (5) all_10_7 = e2 | all_10_13 = e2 | all_10_21 = e2 % 72.30/11.65 (6) all_10_21 = e2 % 72.30/11.65 (7) all_10_13 = e4 % 72.30/11.65 (8) ~ (all_4_7 = e2) % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | SIMP: (1) implies: % 72.30/11.65 | (9) e2 = e0 % 72.30/11.65 | % 72.30/11.65 | COMBINE_EQS: (6), (9) imply: % 72.30/11.65 | (10) all_10_21 = e0 % 72.30/11.65 | % 72.30/11.65 | REF_CLOSE: (2), (3), (4), (5), (7), (8), (10) are inconsistent by sub-proof % 72.30/11.65 | #110. % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #110 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) ~ (e4 = e2) % 72.30/11.65 (2) all_10_7 = all_4_7 % 72.30/11.65 (3) ~ (e2 = e0) % 72.30/11.65 (4) all_10_7 = e2 | all_10_13 = e2 | all_10_21 = e2 % 72.30/11.65 (5) all_10_13 = e4 % 72.30/11.65 (6) ~ (all_4_7 = e2) % 72.30/11.65 (7) all_10_21 = e0 % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | BETA: splitting (4) gives: % 72.30/11.65 | % 72.30/11.65 | Case 1: % 72.30/11.65 | | % 72.30/11.65 | | (8) all_10_7 = e2 % 72.30/11.65 | | % 72.30/11.65 | | COMBINE_EQS: (2), (8) imply: % 72.30/11.65 | | (9) all_4_7 = e2 % 72.30/11.65 | | % 72.30/11.65 | | REDUCE: (6), (9) imply: % 72.30/11.65 | | (10) $false % 72.30/11.65 | | % 72.30/11.65 | | CLOSE: (10) is inconsistent. % 72.30/11.65 | | % 72.30/11.65 | Case 2: % 72.30/11.65 | | % 72.30/11.65 | | (11) all_10_13 = e2 | all_10_21 = e2 % 72.30/11.65 | | % 72.30/11.65 | | BETA: splitting (11) gives: % 72.30/11.65 | | % 72.30/11.65 | | Case 1: % 72.30/11.65 | | | % 72.30/11.65 | | | (12) all_10_13 = e2 % 72.30/11.65 | | | % 72.30/11.65 | | | REF_CLOSE: (1), (5), (12) are inconsistent by sub-proof #240. % 72.30/11.65 | | | % 72.30/11.65 | | Case 2: % 72.30/11.65 | | | % 72.30/11.65 | | | (13) all_10_21 = e2 % 72.30/11.65 | | | % 72.30/11.65 | | | COMBINE_EQS: (7), (13) imply: % 72.30/11.65 | | | (14) e2 = e0 % 72.30/11.65 | | | % 72.30/11.65 | | | REDUCE: (3), (14) imply: % 72.30/11.65 | | | (15) $false % 72.30/11.65 | | | % 72.30/11.65 | | | CLOSE: (15) is inconsistent. % 72.30/11.65 | | | % 72.30/11.65 | | End of split % 72.30/11.65 | | % 72.30/11.65 | End of split % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #111 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = all_8_56) % 72.30/11.65 (2) all_8_13 = e0 % 72.30/11.65 (3) ~ (e3 = e0) % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | ALPHA: (1) implies: % 72.30/11.65 | (4) all_8_13 = e3 % 72.30/11.65 | % 72.30/11.65 | COMBINE_EQS: (2), (4) imply: % 72.30/11.65 | (5) e3 = e0 % 72.30/11.65 | % 72.30/11.65 | SIMP: (5) implies: % 72.30/11.65 | (6) e3 = e0 % 72.30/11.65 | % 72.30/11.65 | REDUCE: (3), (6) imply: % 72.30/11.65 | (7) $false % 72.30/11.65 | % 72.30/11.65 | CLOSE: (7) is inconsistent. % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #112 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = all_8_50) % 72.30/11.65 (2) all_8_2 = e2 % 72.30/11.65 (3) ~ (e4 = e2) % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | ALPHA: (1) implies: % 72.30/11.65 | (4) all_8_2 = e4 % 72.30/11.65 | % 72.30/11.65 | COMBINE_EQS: (2), (4) imply: % 72.30/11.65 | (5) e4 = e2 % 72.30/11.65 | % 72.30/11.65 | SIMP: (5) implies: % 72.30/11.65 | (6) e4 = e2 % 72.30/11.65 | % 72.30/11.65 | REDUCE: (3), (6) imply: % 72.30/11.65 | (7) $false % 72.30/11.65 | % 72.30/11.65 | CLOSE: (7) is inconsistent. % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #113 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) all_6_22 = all_4_14 % 72.30/11.65 (2) all_6_22 = e1 % 72.30/11.65 (3) ~ (all_4_14 = e1) % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | COMBINE_EQS: (1), (2) imply: % 72.30/11.65 | (4) all_4_14 = e1 % 72.30/11.65 | % 72.30/11.65 | SIMP: (4) implies: % 72.30/11.65 | (5) all_4_14 = e1 % 72.30/11.65 | % 72.30/11.65 | REDUCE: (3), (5) imply: % 72.30/11.65 | (6) $false % 72.30/11.65 | % 72.30/11.65 | CLOSE: (6) is inconsistent. % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #114 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) all_10_4 = e3 % 72.30/11.65 (2) all_10_4 = e1 % 72.30/11.65 (3) ~ (e3 = e1) % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.30/11.65 | % 72.30/11.65 | COMBINE_EQS: (1), (2) imply: % 72.30/11.65 | (4) e3 = e1 % 72.30/11.65 | % 72.30/11.65 | SIMP: (4) implies: % 72.30/11.65 | (5) e3 = e1 % 72.30/11.65 | % 72.30/11.65 | REDUCE: (3), (5) imply: % 72.30/11.65 | (6) $false % 72.30/11.65 | % 72.30/11.65 | CLOSE: (6) is inconsistent. % 72.30/11.65 | % 72.30/11.65 End of proof % 72.30/11.65 % 72.30/11.65 Sub-proof #115 shows that the following formulas are inconsistent: % 72.30/11.65 ---------------------------------------------------------------- % 72.30/11.65 (1) all_10_11 = e4 % 72.30/11.65 (2) all_10_11 = e3 % 72.30/11.65 (3) ~ (e4 = e3) % 72.30/11.65 % 72.30/11.65 Begin of proof % 72.68/11.65 | % 72.68/11.65 | COMBINE_EQS: (1), (2) imply: % 72.68/11.65 | (4) e4 = e3 % 72.68/11.65 | % 72.68/11.65 | SIMP: (4) implies: % 72.68/11.65 | (5) e4 = e3 % 72.68/11.65 | % 72.68/11.65 | REDUCE: (3), (5) imply: % 72.68/11.65 | (6) $false % 72.68/11.65 | % 72.68/11.65 | CLOSE: (6) is inconsistent. % 72.68/11.65 | % 72.68/11.65 End of proof % 72.68/11.65 % 72.68/11.65 Sub-proof #116 shows that the following formulas are inconsistent: % 72.68/11.65 ---------------------------------------------------------------- % 72.68/11.65 (1) ~ (all_4_8 = e2) % 72.68/11.65 (2) ~ (e4 = e2) % 72.68/11.65 (3) all_10_13 = e2 | all_10_14 = e2 | all_10_15 = e2 | all_10_19 = e2 % 72.68/11.65 (4) all_10_14 = e4 % 72.68/11.65 (5) ~ (e2 = e1) % 72.68/11.65 (6) ~ (e2 = e0) % 72.68/11.65 (7) all_10_13 = all_4_8 % 72.68/11.65 (8) all_10_19 = e1 % 72.68/11.65 (9) all_10_15 = e0 % 72.68/11.65 % 72.68/11.65 Begin of proof % 72.68/11.65 | % 72.68/11.65 | BETA: splitting (3) gives: % 72.68/11.65 | % 72.68/11.65 | Case 1: % 72.68/11.65 | | % 72.68/11.65 | | (10) all_10_13 = e2 % 72.68/11.65 | | % 72.68/11.65 | | REF_CLOSE: (1), (7), (10) are inconsistent by sub-proof #117. % 72.68/11.65 | | % 72.68/11.65 | Case 2: % 72.68/11.65 | | % 72.68/11.65 | | (11) all_10_14 = e2 | all_10_15 = e2 | all_10_19 = e2 % 72.68/11.65 | | % 72.68/11.65 | | BETA: splitting (11) gives: % 72.68/11.65 | | % 72.68/11.65 | | Case 1: % 72.68/11.65 | | | % 72.68/11.65 | | | (12) all_10_14 = e2 % 72.68/11.65 | | | % 72.68/11.65 | | | COMBINE_EQS: (4), (12) imply: % 72.68/11.65 | | | (13) e4 = e2 % 72.68/11.65 | | | % 72.68/11.65 | | | SIMP: (13) implies: % 72.68/11.65 | | | (14) e4 = e2 % 72.68/11.65 | | | % 72.68/11.65 | | | REDUCE: (2), (14) imply: % 72.68/11.65 | | | (15) $false % 72.68/11.65 | | | % 72.68/11.65 | | | CLOSE: (15) is inconsistent. % 72.68/11.65 | | | % 72.68/11.65 | | Case 2: % 72.68/11.65 | | | % 72.68/11.65 | | | (16) all_10_15 = e2 | all_10_19 = e2 % 72.68/11.65 | | | % 72.68/11.65 | | | REF_CLOSE: (5), (6), (8), (9), (16) are inconsistent by sub-proof #193. % 72.68/11.65 | | | % 72.68/11.65 | | End of split % 72.68/11.65 | | % 72.68/11.65 | End of split % 72.68/11.65 | % 72.68/11.65 End of proof % 72.68/11.65 % 72.68/11.65 Sub-proof #117 shows that the following formulas are inconsistent: % 72.68/11.65 ---------------------------------------------------------------- % 72.68/11.65 (1) all_10_13 = all_4_8 % 72.68/11.65 (2) all_10_13 = e2 % 72.68/11.65 (3) ~ (all_4_8 = e2) % 72.68/11.65 % 72.68/11.65 Begin of proof % 72.68/11.65 | % 72.68/11.65 | COMBINE_EQS: (1), (2) imply: % 72.68/11.65 | (4) all_4_8 = e2 % 72.68/11.65 | % 72.68/11.65 | SIMP: (4) implies: % 72.68/11.65 | (5) all_4_8 = e2 % 72.68/11.65 | % 72.68/11.65 | REDUCE: (3), (5) imply: % 72.68/11.65 | (6) $false % 72.68/11.65 | % 72.68/11.65 | CLOSE: (6) is inconsistent. % 72.68/11.65 | % 72.68/11.65 End of proof % 72.68/11.65 % 72.68/11.65 Sub-proof #118 shows that the following formulas are inconsistent: % 72.68/11.65 ---------------------------------------------------------------- % 72.68/11.65 (1) all_10_19 = e3 | all_10_24 = e3 % 72.68/11.65 (2) all_10_24 = e2 % 72.68/11.65 (3) ~ (e3 = e1) % 72.68/11.65 (4) all_10_19 = e1 % 72.68/11.65 (5) ~ (e3 = e2) % 72.68/11.65 % 72.68/11.65 Begin of proof % 72.68/11.65 | % 72.68/11.65 | BETA: splitting (1) gives: % 72.68/11.65 | % 72.68/11.65 | Case 1: % 72.68/11.65 | | % 72.68/11.65 | | (6) all_10_19 = e3 % 72.68/11.65 | | % 72.68/11.65 | | REF_CLOSE: (3), (4), (6) are inconsistent by sub-proof #217. % 72.68/11.65 | | % 72.68/11.65 | Case 2: % 72.68/11.65 | | % 72.68/11.65 | | (7) all_10_24 = e3 % 72.68/11.65 | | % 72.68/11.65 | | COMBINE_EQS: (2), (7) imply: % 72.68/11.65 | | (8) e3 = e2 % 72.68/11.65 | | % 72.68/11.65 | | REDUCE: (5), (8) imply: % 72.68/11.65 | | (9) $false % 72.68/11.65 | | % 72.68/11.65 | | CLOSE: (9) is inconsistent. % 72.68/11.65 | | % 72.68/11.65 | End of split % 72.68/11.65 | % 72.68/11.65 End of proof % 72.68/11.65 % 72.68/11.65 Sub-proof #119 shows that the following formulas are inconsistent: % 72.68/11.65 ---------------------------------------------------------------- % 72.68/11.65 (1) all_6_24 = e3 | all_6_24 = e0 % 72.68/11.65 (2) all_6_24 = all_4_24 % 72.68/11.65 (3) ~ (all_4_24 = e3) % 72.68/11.65 (4) ~ (all_4_24 = e0) % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | BETA: splitting (1) gives: % 72.68/11.67 | % 72.68/11.67 | Case 1: % 72.68/11.67 | | % 72.68/11.67 | | (5) all_6_24 = e3 % 72.68/11.67 | | % 72.68/11.67 | | COMBINE_EQS: (2), (5) imply: % 72.68/11.67 | | (6) all_4_24 = e3 % 72.68/11.67 | | % 72.68/11.67 | | REDUCE: (3), (6) imply: % 72.68/11.67 | | (7) $false % 72.68/11.67 | | % 72.68/11.67 | | CLOSE: (7) is inconsistent. % 72.68/11.67 | | % 72.68/11.67 | Case 2: % 72.68/11.67 | | % 72.68/11.67 | | (8) all_6_24 = e0 % 72.68/11.67 | | % 72.68/11.67 | | COMBINE_EQS: (2), (8) imply: % 72.68/11.67 | | (9) all_4_24 = e0 % 72.68/11.67 | | % 72.68/11.67 | | REDUCE: (4), (9) imply: % 72.68/11.67 | | (10) $false % 72.68/11.67 | | % 72.68/11.67 | | CLOSE: (10) is inconsistent. % 72.68/11.67 | | % 72.68/11.67 | End of split % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #120 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) all_6_9 = all_4_21 % 72.68/11.67 (2) ~ (all_4_21 = e0) % 72.68/11.67 (3) ~ (all_4_21 = e2) % 72.68/11.67 (4) all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e0 % 72.68/11.67 (5) ~ (all_4_21 = e3) % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | BETA: splitting (4) gives: % 72.68/11.67 | % 72.68/11.67 | Case 1: % 72.68/11.67 | | % 72.68/11.67 | | (6) all_6_9 = e2 % 72.68/11.67 | | % 72.68/11.67 | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #121. % 72.68/11.67 | | % 72.68/11.67 | Case 2: % 72.68/11.67 | | % 72.68/11.67 | | (7) all_6_9 = e3 | all_6_9 = e0 % 72.68/11.67 | | % 72.68/11.67 | | REF_CLOSE: (1), (2), (5), (7) are inconsistent by sub-proof #184. % 72.68/11.67 | | % 72.68/11.67 | End of split % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #121 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) all_6_9 = all_4_21 % 72.68/11.67 (2) all_6_9 = e2 % 72.68/11.67 (3) ~ (all_4_21 = e2) % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | COMBINE_EQS: (1), (2) imply: % 72.68/11.67 | (4) all_4_21 = e2 % 72.68/11.67 | % 72.68/11.67 | SIMP: (4) implies: % 72.68/11.67 | (5) all_4_21 = e2 % 72.68/11.67 | % 72.68/11.67 | REDUCE: (3), (5) imply: % 72.68/11.67 | (6) $false % 72.68/11.67 | % 72.68/11.67 | CLOSE: (6) is inconsistent. % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #122 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) all_6_21 = e3 | all_6_21 = e0 % 72.68/11.67 (2) all_6_21 = all_4_9 % 72.68/11.67 (3) ~ (all_4_9 = e3) % 72.68/11.67 (4) ~ (all_4_9 = e0) % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | BETA: splitting (1) gives: % 72.68/11.67 | % 72.68/11.67 | Case 1: % 72.68/11.67 | | % 72.68/11.67 | | (5) all_6_21 = e3 % 72.68/11.67 | | % 72.68/11.67 | | COMBINE_EQS: (2), (5) imply: % 72.68/11.67 | | (6) all_4_9 = e3 % 72.68/11.67 | | % 72.68/11.67 | | SIMP: (6) implies: % 72.68/11.67 | | (7) all_4_9 = e3 % 72.68/11.67 | | % 72.68/11.67 | | REDUCE: (3), (7) imply: % 72.68/11.67 | | (8) $false % 72.68/11.67 | | % 72.68/11.67 | | CLOSE: (8) is inconsistent. % 72.68/11.67 | | % 72.68/11.67 | Case 2: % 72.68/11.67 | | % 72.68/11.67 | | (9) all_6_21 = e0 % 72.68/11.67 | | % 72.68/11.67 | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #140. % 72.68/11.67 | | % 72.68/11.67 | End of split % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #123 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) ~ (e1 = e0) % 72.68/11.67 (2) ~ (e2 = e0) % 72.68/11.67 (3) all_10_16 = e3 % 72.68/11.67 (4) ~ (e3 = e0) % 72.68/11.67 (5) all_10_9 = e2 % 72.68/11.67 (6) all_10_4 = e1 % 72.68/11.67 (7) all_10_4 = e0 | all_10_9 = e0 | all_10_16 = e0 % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | BETA: splitting (7) gives: % 72.68/11.67 | % 72.68/11.67 | Case 1: % 72.68/11.67 | | % 72.68/11.67 | | (8) all_10_4 = e0 % 72.68/11.67 | | % 72.68/11.67 | | COMBINE_EQS: (6), (8) imply: % 72.68/11.67 | | (9) e1 = e0 % 72.68/11.67 | | % 72.68/11.67 | | REDUCE: (1), (9) imply: % 72.68/11.67 | | (10) $false % 72.68/11.67 | | % 72.68/11.67 | | CLOSE: (10) is inconsistent. % 72.68/11.67 | | % 72.68/11.67 | Case 2: % 72.68/11.67 | | % 72.68/11.67 | | (11) all_10_9 = e0 | all_10_16 = e0 % 72.68/11.67 | | % 72.68/11.67 | | BETA: splitting (11) gives: % 72.68/11.67 | | % 72.68/11.67 | | Case 1: % 72.68/11.67 | | | % 72.68/11.67 | | | (12) all_10_9 = e0 % 72.68/11.67 | | | % 72.68/11.67 | | | COMBINE_EQS: (5), (12) imply: % 72.68/11.67 | | | (13) e2 = e0 % 72.68/11.67 | | | % 72.68/11.67 | | | REDUCE: (2), (13) imply: % 72.68/11.67 | | | (14) $false % 72.68/11.67 | | | % 72.68/11.67 | | | CLOSE: (14) is inconsistent. % 72.68/11.67 | | | % 72.68/11.67 | | Case 2: % 72.68/11.67 | | | % 72.68/11.67 | | | (15) all_10_16 = e0 % 72.68/11.67 | | | % 72.68/11.67 | | | COMBINE_EQS: (3), (15) imply: % 72.68/11.67 | | | (16) e3 = e0 % 72.68/11.67 | | | % 72.68/11.67 | | | REDUCE: (4), (16) imply: % 72.68/11.67 | | | (17) $false % 72.68/11.67 | | | % 72.68/11.67 | | | CLOSE: (17) is inconsistent. % 72.68/11.67 | | | % 72.68/11.67 | | End of split % 72.68/11.67 | | % 72.68/11.67 | End of split % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #124 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) all_8_45 = e0 % 72.68/11.67 (2) all_8_19 = e0 % 72.68/11.67 (3) op(e0, e4) = e1 % 72.68/11.67 (4) op(e3, e1) = e1 % 72.68/11.67 (5) op(e2, e4) = e3 % 72.68/11.67 (6) op(e1, e3) = e3 % 72.68/11.67 (7) all_8_60 = e2 % 72.68/11.67 (8) ~ (e1 = e0) % 72.68/11.67 (9) all_8_3 = e2 % 72.68/11.67 (10) op(e0, e4) = all_8_10 % 72.68/11.67 (11) all_8_66 = e4 % 72.68/11.67 (12) op(e3, e4) = all_8_7 % 72.68/11.67 (13) all_8_47 = e2 % 72.68/11.67 (14) op(e3, e3) = all_8_12 % 72.68/11.67 (15) all_8_67 = e0 % 72.68/11.67 (16) all_8_34 = e0 % 72.68/11.67 (17) all_8_50 = e0 % 72.68/11.67 (18) op(e1, e4) = e2 % 72.68/11.67 (19) all_8_62 = e4 % 72.68/11.67 (20) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = all_8_50)) | (all_8_4 % 72.68/11.67 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & % 72.68/11.67 ~ (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | (all_8_8 = e4 & ~ % 72.68/11.67 (all_8_7 = e0) & ~ (all_8_48 = all_8_65)) | (all_8_10 = e3 & ~ % 72.68/11.67 (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) | (all_8_13 = e3 & ~ % 72.68/11.67 (all_8_12 = e2) & ~ (all_8_51 = all_8_56)) | (all_8_15 = e3 & ~ % 72.68/11.67 (all_8_14 = e1) & ~ (all_8_52 = all_8_61)) | (all_8_17 = e3 & ~ % 72.68/11.67 (all_8_16 = e0) & ~ (all_8_53 = all_8_66)) | (all_8_19 = e2 & ~ % 72.68/11.67 (all_8_18 = e4) & ~ (all_8_46 = all_8_55)) | (all_8_21 = e2 & ~ % 72.68/11.67 (all_8_20 = e3) & ~ (all_8_51 = all_8_56)) | (all_8_24 = e2 & ~ % 72.68/11.67 (all_8_23 = e1) & ~ (all_8_57 = all_8_62)) | (all_8_26 = e2 & ~ % 72.68/11.67 (all_8_25 = e0) & ~ (all_8_58 = all_8_67)) | (all_8_28 = e1 & ~ % 72.68/11.67 (all_8_27 = e4) & ~ (all_8_47 = all_8_60)) | (all_8_30 = e1 & ~ % 72.68/11.67 (all_8_29 = e3) & ~ (all_8_52 = all_8_61)) | (all_8_32 = e1 & ~ % 72.68/11.67 (all_8_31 = e2) & ~ (all_8_57 = all_8_62)) | (all_8_35 = e1 & ~ % 72.68/11.67 (all_8_34 = e0) & ~ (all_8_63 = all_8_68)) | (all_8_37 = e0 & ~ % 72.68/11.67 (all_8_36 = e4) & ~ (all_8_48 = all_8_65)) | (all_8_39 = e0 & ~ % 72.68/11.67 (all_8_38 = e3) & ~ (all_8_53 = all_8_66)) | (all_8_41 = e0 & ~ % 72.68/11.67 (all_8_40 = e2) & ~ (all_8_58 = all_8_67)) | (all_8_43 = e0 & ~ % 72.68/11.67 (all_8_42 = e1) & ~ (all_8_63 = all_8_68)) % 72.68/11.67 (21) ~ (e2 = e1) % 72.68/11.67 (22) op(e2, e4) = all_8_28 % 72.68/11.67 (23) ~ (e2 = e0) % 72.68/11.67 (24) ~ (e3 = e1) % 72.68/11.67 (25) op(e1, e3) = all_8_21 % 72.68/11.67 (26) ~ (e3 = e0) % 72.68/11.67 (27) op(e3, e1) = all_8_29 % 72.68/11.67 (28) op(e1, e4) = all_8_37 % 72.68/11.67 (29) op(e3, e3) = e2 % 72.68/11.67 (30) op(e3, e4) = e0 % 72.68/11.67 (31) op(e0, e4) = all_8_1 % 72.68/11.67 (32) op(e1, e3) = all_8_14 % 72.68/11.67 (33) ~ (e3 = e2) % 72.68/11.67 (34) op(e3, e1) = all_8_43 % 72.68/11.67 (35) op(e3, e3) = all_8_30 % 72.68/11.67 (36) all_8_57 = e4 % 72.68/11.67 (37) op(e2, e4) = all_8_5 % 72.68/11.67 (38) op(e1, e1) = all_8_15 % 72.68/11.67 (39) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 72.68/11.67 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 72.68/11.67 (40) all_8_58 = e0 % 72.68/11.67 (41) op(e1, e1) = e0 % 72.68/11.67 (42) all_8_53 = e4 % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | GROUND_INST: instantiating (39) with all_8_10, all_8_1, e4, e0, simplifying % 72.68/11.67 | with (10), (31) gives: % 72.68/11.67 | (43) all_8_1 = all_8_10 % 72.68/11.67 | % 72.68/11.67 | GROUND_INST: instantiating (39) with e1, all_8_1, e4, e0, simplifying with % 72.68/11.67 | (3), (31) gives: % 72.68/11.67 | (44) all_8_1 = e1 % 72.68/11.67 | % 72.68/11.67 | GROUND_INST: instantiating (39) with e0, all_8_15, e1, e1, simplifying with % 72.68/11.67 | (38), (41) gives: % 72.68/11.67 | (45) all_8_15 = e0 % 72.68/11.67 | % 72.68/11.67 | GROUND_INST: instantiating (39) with all_8_21, all_8_14, e3, e1, simplifying % 72.68/11.67 | with (25), (32) gives: % 72.68/11.67 | (46) all_8_14 = all_8_21 % 72.68/11.67 | % 72.68/11.67 | GROUND_INST: instantiating (39) with e3, all_8_14, e3, e1, simplifying with % 72.68/11.67 | (6), (32) gives: % 72.68/11.67 | (47) all_8_14 = e3 % 72.68/11.67 | % 72.68/11.67 | GROUND_INST: instantiating (39) with e2, all_8_37, e4, e1, simplifying with % 72.68/11.67 | (18), (28) gives: % 72.68/11.67 | (48) all_8_37 = e2 % 72.68/11.67 | % 72.68/11.67 | GROUND_INST: instantiating (39) with e3, all_8_5, e4, e2, simplifying with % 72.68/11.67 | (5), (37) gives: % 72.68/11.67 | (49) all_8_5 = e3 % 72.68/11.67 | % 72.68/11.67 | GROUND_INST: instantiating (39) with all_8_28, all_8_5, e4, e2, simplifying % 72.68/11.67 | with (22), (37) gives: % 72.68/11.67 | (50) all_8_5 = all_8_28 % 72.68/11.67 | % 72.68/11.67 | GROUND_INST: instantiating (39) with all_8_43, all_8_29, e1, e3, simplifying % 72.68/11.67 | with (27), (34) gives: % 72.68/11.67 | (51) all_8_29 = all_8_43 % 72.68/11.67 | % 72.68/11.67 | GROUND_INST: instantiating (39) with e1, all_8_29, e1, e3, simplifying with % 72.68/11.67 | (4), (27) gives: % 72.68/11.67 | (52) all_8_29 = e1 % 72.68/11.67 | % 72.68/11.67 | GROUND_INST: instantiating (39) with all_8_30, all_8_12, e3, e3, simplifying % 72.68/11.67 | with (14), (35) gives: % 72.68/11.67 | (53) all_8_12 = all_8_30 % 72.68/11.67 | % 72.68/11.67 | GROUND_INST: instantiating (39) with e2, all_8_12, e3, e3, simplifying with % 72.68/11.67 | (14), (29) gives: % 72.68/11.67 | (54) all_8_12 = e2 % 72.68/11.67 | % 72.68/11.67 | GROUND_INST: instantiating (39) with e0, all_8_7, e4, e3, simplifying with % 72.68/11.67 | (12), (30) gives: % 72.68/11.67 | (55) all_8_7 = e0 % 72.68/11.67 | % 72.68/11.67 | COMBINE_EQS: (43), (44) imply: % 72.68/11.67 | (56) all_8_10 = e1 % 72.68/11.67 | % 72.68/11.67 | SIMP: (56) implies: % 72.68/11.67 | (57) all_8_10 = e1 % 72.68/11.67 | % 72.68/11.67 | COMBINE_EQS: (49), (50) imply: % 72.68/11.67 | (58) all_8_28 = e3 % 72.68/11.67 | % 72.68/11.67 | COMBINE_EQS: (53), (54) imply: % 72.68/11.67 | (59) all_8_30 = e2 % 72.68/11.67 | % 72.68/11.67 | SIMP: (59) implies: % 72.68/11.67 | (60) all_8_30 = e2 % 72.68/11.67 | % 72.68/11.67 | COMBINE_EQS: (46), (47) imply: % 72.68/11.67 | (61) all_8_21 = e3 % 72.68/11.67 | % 72.68/11.67 | COMBINE_EQS: (51), (52) imply: % 72.68/11.67 | (62) all_8_43 = e1 % 72.68/11.67 | % 72.68/11.67 | SIMP: (62) implies: % 72.68/11.67 | (63) all_8_43 = e1 % 72.68/11.67 | % 72.68/11.67 | BETA: splitting (20) gives: % 72.68/11.67 | % 72.68/11.67 | Case 1: % 72.68/11.67 | | % 72.68/11.67 | | (64) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = all_8_50)) | % 72.68/11.67 | | (all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = all_8_55)) | % 72.68/11.67 | | (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 72.68/11.67 | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = all_8_65)) | % 72.68/11.67 | | (all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) | % 72.68/11.67 | | (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = all_8_56)) | % 72.68/11.67 | | (all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 = all_8_61)) | % 72.68/11.67 | | (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = all_8_66)) | % 72.68/11.67 | | (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 = all_8_55)) | % 72.68/11.67 | | (all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = all_8_56)) % 72.68/11.67 | | % 72.68/11.67 | | BETA: splitting (64) gives: % 72.68/11.67 | | % 72.68/11.67 | | Case 1: % 72.68/11.67 | | | % 72.68/11.67 | | | (65) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = all_8_50)) | % 72.68/11.67 | | | (all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = all_8_55)) | % 72.68/11.67 | | | (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 72.68/11.67 | | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = all_8_65)) | % 72.68/11.67 | | | (all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 72.68/11.67 | | | % 72.68/11.67 | | | REF_CLOSE: (1), (7), (9), (13), (17), (24), (55), (57), (65) are % 72.68/11.67 | | | inconsistent by sub-proof #129. % 72.68/11.67 | | | % 72.68/11.67 | | Case 2: % 72.68/11.67 | | | % 72.68/11.67 | | | (66) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = all_8_56)) | % 72.68/11.67 | | | (all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 = all_8_61)) | % 72.68/11.67 | | | (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = all_8_66)) | % 72.68/11.67 | | | (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 = all_8_55)) | % 72.68/11.67 | | | (all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = all_8_56)) % 72.68/11.67 | | | % 72.68/11.67 | | | BETA: splitting (66) gives: % 72.68/11.67 | | | % 72.68/11.67 | | | Case 1: % 72.68/11.67 | | | | % 72.68/11.67 | | | | (67) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = all_8_56)) % 72.68/11.67 | | | | | (all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 = % 72.68/11.67 | | | | all_8_61)) % 72.68/11.67 | | | | % 72.68/11.67 | | | | BETA: splitting (67) gives: % 72.68/11.67 | | | | % 72.68/11.67 | | | | Case 1: % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | (68) all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = all_8_56) % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | ALPHA: (68) implies: % 72.68/11.67 | | | | | (69) ~ (all_8_12 = e2) % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | REDUCE: (54), (69) imply: % 72.68/11.67 | | | | | (70) $false % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | CLOSE: (70) is inconsistent. % 72.68/11.67 | | | | | % 72.68/11.67 | | | | Case 2: % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | (71) all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 = all_8_61) % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | REF_CLOSE: (26), (45), (71) are inconsistent by sub-proof #128. % 72.68/11.67 | | | | | % 72.68/11.67 | | | | End of split % 72.68/11.67 | | | | % 72.68/11.67 | | | Case 2: % 72.68/11.67 | | | | % 72.68/11.67 | | | | (72) (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = all_8_66)) % 72.68/11.67 | | | | | (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 = % 72.68/11.67 | | | | all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 = e3) & ~ % 72.68/11.67 | | | | (all_8_51 = all_8_56)) % 72.68/11.67 | | | | % 72.68/11.67 | | | | BETA: splitting (72) gives: % 72.68/11.67 | | | | % 72.68/11.67 | | | | Case 1: % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | (73) all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = all_8_66) % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | ALPHA: (73) implies: % 72.68/11.67 | | | | | (74) ~ (all_8_53 = all_8_66) % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | REDUCE: (11), (42), (74) imply: % 72.68/11.67 | | | | | (75) $false % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | CLOSE: (75) is inconsistent. % 72.68/11.67 | | | | | % 72.68/11.67 | | | | Case 2: % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | (76) (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 = % 72.68/11.67 | | | | | all_8_55)) | (all_8_21 = e2 & ~ (all_8_20 = e3) & ~ % 72.68/11.67 | | | | | (all_8_51 = all_8_56)) % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | BETA: splitting (76) gives: % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | Case 1: % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | (77) all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 = % 72.68/11.67 | | | | | | all_8_55) % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | ALPHA: (77) implies: % 72.68/11.67 | | | | | | (78) all_8_19 = e2 % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | COMBINE_EQS: (2), (78) imply: % 72.68/11.67 | | | | | | (79) e2 = e0 % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | REDUCE: (23), (79) imply: % 72.68/11.67 | | | | | | (80) $false % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | CLOSE: (80) is inconsistent. % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | Case 2: % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | (81) all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = % 72.68/11.67 | | | | | | all_8_56) % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | ALPHA: (81) implies: % 72.68/11.67 | | | | | | (82) all_8_21 = e2 % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | COMBINE_EQS: (61), (82) imply: % 72.68/11.67 | | | | | | (83) e3 = e2 % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | SIMP: (83) implies: % 72.68/11.67 | | | | | | (84) e3 = e2 % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | REDUCE: (33), (84) imply: % 72.68/11.67 | | | | | | (85) $false % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | CLOSE: (85) is inconsistent. % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | End of split % 72.68/11.67 | | | | | % 72.68/11.67 | | | | End of split % 72.68/11.67 | | | | % 72.68/11.67 | | | End of split % 72.68/11.67 | | | % 72.68/11.67 | | End of split % 72.68/11.67 | | % 72.68/11.67 | Case 2: % 72.68/11.67 | | % 72.68/11.67 | | (86) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 = all_8_62)) | % 72.68/11.67 | | (all_8_26 = e2 & ~ (all_8_25 = e0) & ~ (all_8_58 = all_8_67)) | % 72.68/11.67 | | (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = all_8_60)) | % 72.68/11.67 | | (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 = all_8_61)) | % 72.68/11.67 | | (all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = all_8_62)) | % 72.68/11.67 | | (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 = all_8_68)) | % 72.68/11.67 | | (all_8_37 = e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = all_8_65)) | % 72.68/11.67 | | (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = all_8_66)) | % 72.68/11.67 | | (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = all_8_67)) | % 72.68/11.67 | | (all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = all_8_68)) % 72.68/11.67 | | % 72.68/11.67 | | BETA: splitting (86) gives: % 72.68/11.67 | | % 72.68/11.67 | | Case 1: % 72.68/11.67 | | | % 72.68/11.67 | | | (87) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 = all_8_62)) | % 72.68/11.67 | | | (all_8_26 = e2 & ~ (all_8_25 = e0) & ~ (all_8_58 = all_8_67)) | % 72.68/11.67 | | | (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = all_8_60)) | % 72.68/11.67 | | | (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 = all_8_61)) | % 72.68/11.67 | | | (all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = all_8_62)) % 72.68/11.67 | | | % 72.68/11.67 | | | BETA: splitting (87) gives: % 72.68/11.67 | | | % 72.68/11.67 | | | Case 1: % 72.68/11.67 | | | | % 72.68/11.67 | | | | (88) (all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 = all_8_62)) % 72.68/11.67 | | | | | (all_8_26 = e2 & ~ (all_8_25 = e0) & ~ (all_8_58 = % 72.68/11.67 | | | | all_8_67)) % 72.68/11.67 | | | | % 72.68/11.67 | | | | BETA: splitting (88) gives: % 72.68/11.67 | | | | % 72.68/11.67 | | | | Case 1: % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | (89) all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 = all_8_62) % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | ALPHA: (89) implies: % 72.68/11.67 | | | | | (90) ~ (all_8_57 = all_8_62) % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | REDUCE: (19), (36), (90) imply: % 72.68/11.67 | | | | | (91) $false % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | CLOSE: (91) is inconsistent. % 72.68/11.67 | | | | | % 72.68/11.67 | | | | Case 2: % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | (92) all_8_26 = e2 & ~ (all_8_25 = e0) & ~ (all_8_58 = all_8_67) % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | ALPHA: (92) implies: % 72.68/11.67 | | | | | (93) ~ (all_8_58 = all_8_67) % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | REDUCE: (15), (40), (93) imply: % 72.68/11.67 | | | | | (94) $false % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | CLOSE: (94) is inconsistent. % 72.68/11.67 | | | | | % 72.68/11.67 | | | | End of split % 72.68/11.67 | | | | % 72.68/11.67 | | | Case 2: % 72.68/11.67 | | | | % 72.68/11.67 | | | | (95) (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = all_8_60)) % 72.68/11.67 | | | | | (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 = % 72.68/11.67 | | | | all_8_61)) | (all_8_32 = e1 & ~ (all_8_31 = e2) & ~ % 72.68/11.67 | | | | (all_8_57 = all_8_62)) % 72.68/11.67 | | | | % 72.68/11.67 | | | | BETA: splitting (95) gives: % 72.68/11.67 | | | | % 72.68/11.67 | | | | Case 1: % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | (96) all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = all_8_60) % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | REF_CLOSE: (24), (58), (96) are inconsistent by sub-proof #127. % 72.68/11.67 | | | | | % 72.68/11.67 | | | | Case 2: % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | (97) (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 = % 72.68/11.67 | | | | | all_8_61)) | (all_8_32 = e1 & ~ (all_8_31 = e2) & ~ % 72.68/11.67 | | | | | (all_8_57 = all_8_62)) % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | REF_CLOSE: (19), (21), (36), (60), (97) are inconsistent by sub-proof % 72.68/11.67 | | | | | #126. % 72.68/11.67 | | | | | % 72.68/11.67 | | | | End of split % 72.68/11.67 | | | | % 72.68/11.67 | | | End of split % 72.68/11.67 | | | % 72.68/11.67 | | Case 2: % 72.68/11.67 | | | % 72.68/11.67 | | | (98) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 = all_8_68)) | % 72.68/11.67 | | | (all_8_37 = e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = all_8_65)) | % 72.68/11.67 | | | (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = all_8_66)) | % 72.68/11.67 | | | (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = all_8_67)) | % 72.68/11.67 | | | (all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = all_8_68)) % 72.68/11.67 | | | % 72.68/11.67 | | | BETA: splitting (98) gives: % 72.68/11.67 | | | % 72.68/11.67 | | | Case 1: % 72.68/11.67 | | | | % 72.68/11.67 | | | | (99) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 = all_8_68)) % 72.68/11.67 | | | | | (all_8_37 = e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = % 72.68/11.67 | | | | all_8_65)) % 72.68/11.67 | | | | % 72.68/11.67 | | | | REF_CLOSE: (16), (23), (48), (99) are inconsistent by sub-proof #125. % 72.68/11.67 | | | | % 72.68/11.67 | | | Case 2: % 72.68/11.67 | | | | % 72.68/11.67 | | | | (100) (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = all_8_66)) % 72.68/11.67 | | | | | (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = % 72.68/11.67 | | | | all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = e1) & ~ % 72.68/11.67 | | | | (all_8_63 = all_8_68)) % 72.68/11.67 | | | | % 72.68/11.67 | | | | BETA: splitting (100) gives: % 72.68/11.67 | | | | % 72.68/11.67 | | | | Case 1: % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | (101) all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = all_8_66) % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | ALPHA: (101) implies: % 72.68/11.67 | | | | | (102) ~ (all_8_53 = all_8_66) % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | REDUCE: (11), (42), (102) imply: % 72.68/11.67 | | | | | (103) $false % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | CLOSE: (103) is inconsistent. % 72.68/11.67 | | | | | % 72.68/11.67 | | | | Case 2: % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | (104) (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = % 72.68/11.67 | | | | | all_8_67)) | (all_8_43 = e0 & ~ (all_8_42 = e1) & ~ % 72.68/11.67 | | | | | (all_8_63 = all_8_68)) % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | BETA: splitting (104) gives: % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | Case 1: % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | (105) all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = % 72.68/11.67 | | | | | | all_8_67) % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | ALPHA: (105) implies: % 72.68/11.67 | | | | | | (106) ~ (all_8_58 = all_8_67) % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | REDUCE: (15), (40), (106) imply: % 72.68/11.67 | | | | | | (107) $false % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | CLOSE: (107) is inconsistent. % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | Case 2: % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | (108) all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = % 72.68/11.67 | | | | | | all_8_68) % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | ALPHA: (108) implies: % 72.68/11.67 | | | | | | (109) all_8_43 = e0 % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | COMBINE_EQS: (63), (109) imply: % 72.68/11.67 | | | | | | (110) e1 = e0 % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | SIMP: (110) implies: % 72.68/11.67 | | | | | | (111) e1 = e0 % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | REDUCE: (8), (111) imply: % 72.68/11.67 | | | | | | (112) $false % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | CLOSE: (112) is inconsistent. % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | End of split % 72.68/11.67 | | | | | % 72.68/11.67 | | | | End of split % 72.68/11.67 | | | | % 72.68/11.67 | | | End of split % 72.68/11.67 | | | % 72.68/11.67 | | End of split % 72.68/11.67 | | % 72.68/11.67 | End of split % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #125 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 = all_8_68)) | % 72.68/11.67 (all_8_37 = e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = all_8_65)) % 72.68/11.67 (2) all_8_34 = e0 % 72.68/11.67 (3) all_8_37 = e2 % 72.68/11.67 (4) ~ (e2 = e0) % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | BETA: splitting (1) gives: % 72.68/11.67 | % 72.68/11.67 | Case 1: % 72.68/11.67 | | % 72.68/11.67 | | (5) all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 = all_8_68) % 72.68/11.67 | | % 72.68/11.67 | | ALPHA: (5) implies: % 72.68/11.67 | | (6) ~ (all_8_34 = e0) % 72.68/11.67 | | % 72.68/11.67 | | REDUCE: (2), (6) imply: % 72.68/11.67 | | (7) $false % 72.68/11.67 | | % 72.68/11.67 | | CLOSE: (7) is inconsistent. % 72.68/11.67 | | % 72.68/11.67 | Case 2: % 72.68/11.67 | | % 72.68/11.67 | | (8) all_8_37 = e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = all_8_65) % 72.68/11.67 | | % 72.68/11.67 | | ALPHA: (8) implies: % 72.68/11.67 | | (9) all_8_37 = e0 % 72.68/11.67 | | % 72.68/11.67 | | COMBINE_EQS: (3), (9) imply: % 72.68/11.67 | | (10) e2 = e0 % 72.68/11.67 | | % 72.68/11.67 | | SIMP: (10) implies: % 72.68/11.67 | | (11) e2 = e0 % 72.68/11.67 | | % 72.68/11.67 | | REDUCE: (4), (11) imply: % 72.68/11.67 | | (12) $false % 72.68/11.67 | | % 72.68/11.67 | | CLOSE: (12) is inconsistent. % 72.68/11.67 | | % 72.68/11.67 | End of split % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #126 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 = all_8_61)) | % 72.68/11.67 (all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = all_8_62)) % 72.68/11.67 (2) all_8_62 = e4 % 72.68/11.67 (3) ~ (e2 = e1) % 72.68/11.67 (4) all_8_30 = e2 % 72.68/11.67 (5) all_8_57 = e4 % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | BETA: splitting (1) gives: % 72.68/11.67 | % 72.68/11.67 | Case 1: % 72.68/11.67 | | % 72.68/11.67 | | (6) all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 = all_8_61) % 72.68/11.67 | | % 72.68/11.67 | | REF_CLOSE: (3), (4), (6) are inconsistent by sub-proof #144. % 72.68/11.67 | | % 72.68/11.67 | Case 2: % 72.68/11.67 | | % 72.68/11.67 | | (7) all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = all_8_62) % 72.68/11.67 | | % 72.68/11.67 | | ALPHA: (7) implies: % 72.68/11.67 | | (8) ~ (all_8_57 = all_8_62) % 72.68/11.67 | | % 72.68/11.67 | | REDUCE: (2), (5), (8) imply: % 72.68/11.67 | | (9) $false % 72.68/11.67 | | % 72.68/11.67 | | CLOSE: (9) is inconsistent. % 72.68/11.67 | | % 72.68/11.67 | End of split % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #127 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = all_8_60) % 72.68/11.67 (2) all_8_28 = e3 % 72.68/11.67 (3) ~ (e3 = e1) % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | ALPHA: (1) implies: % 72.68/11.67 | (4) all_8_28 = e1 % 72.68/11.67 | % 72.68/11.67 | COMBINE_EQS: (2), (4) imply: % 72.68/11.67 | (5) e3 = e1 % 72.68/11.67 | % 72.68/11.67 | SIMP: (5) implies: % 72.68/11.67 | (6) e3 = e1 % 72.68/11.67 | % 72.68/11.67 | REDUCE: (3), (6) imply: % 72.68/11.67 | (7) $false % 72.68/11.67 | % 72.68/11.67 | CLOSE: (7) is inconsistent. % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #128 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 = all_8_61) % 72.68/11.67 (2) all_8_15 = e0 % 72.68/11.67 (3) ~ (e3 = e0) % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | ALPHA: (1) implies: % 72.68/11.67 | (4) all_8_15 = e3 % 72.68/11.67 | % 72.68/11.67 | COMBINE_EQS: (2), (4) imply: % 72.68/11.67 | (5) e3 = e0 % 72.68/11.67 | % 72.68/11.67 | REDUCE: (3), (5) imply: % 72.68/11.67 | (6) $false % 72.68/11.67 | % 72.68/11.67 | CLOSE: (6) is inconsistent. % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #129 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) all_8_45 = e0 % 72.68/11.67 (2) all_8_60 = e2 % 72.68/11.67 (3) all_8_3 = e2 % 72.68/11.67 (4) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = all_8_50)) | (all_8_4 % 72.68/11.67 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = all_8_55)) | (all_8_6 = e4 & % 72.68/11.67 ~ (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | (all_8_8 = e4 & ~ % 72.68/11.67 (all_8_7 = e0) & ~ (all_8_48 = all_8_65)) | (all_8_10 = e3 & ~ % 72.68/11.67 (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 72.68/11.67 (5) all_8_47 = e2 % 72.68/11.67 (6) all_8_50 = e0 % 72.68/11.67 (7) ~ (e3 = e1) % 72.68/11.67 (8) all_8_10 = e1 % 72.68/11.67 (9) all_8_7 = e0 % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | BETA: splitting (4) gives: % 72.68/11.67 | % 72.68/11.67 | Case 1: % 72.68/11.67 | | % 72.68/11.67 | | (10) (all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = all_8_50)) | % 72.68/11.67 | | (all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = all_8_55)) % 72.68/11.67 | | % 72.68/11.67 | | BETA: splitting (10) gives: % 72.68/11.67 | | % 72.68/11.67 | | Case 1: % 72.68/11.67 | | | % 72.68/11.67 | | | (11) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = all_8_50) % 72.68/11.67 | | | % 72.68/11.67 | | | ALPHA: (11) implies: % 72.68/11.67 | | | (12) ~ (all_8_45 = all_8_50) % 72.68/11.67 | | | % 72.68/11.67 | | | REDUCE: (1), (6), (12) imply: % 72.68/11.67 | | | (13) $false % 72.68/11.67 | | | % 72.68/11.67 | | | CLOSE: (13) is inconsistent. % 72.68/11.67 | | | % 72.68/11.67 | | Case 2: % 72.68/11.67 | | | % 72.68/11.67 | | | (14) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = all_8_55) % 72.68/11.67 | | | % 72.68/11.67 | | | ALPHA: (14) implies: % 72.68/11.67 | | | (15) ~ (all_8_3 = e2) % 72.68/11.67 | | | % 72.68/11.67 | | | REDUCE: (3), (15) imply: % 72.68/11.67 | | | (16) $false % 72.68/11.67 | | | % 72.68/11.67 | | | CLOSE: (16) is inconsistent. % 72.68/11.67 | | | % 72.68/11.67 | | End of split % 72.68/11.67 | | % 72.68/11.67 | Case 2: % 72.68/11.67 | | % 72.68/11.67 | | (17) (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | % 72.68/11.67 | | (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = all_8_65)) | % 72.68/11.67 | | (all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 72.68/11.67 | | % 72.68/11.67 | | REF_CLOSE: (2), (5), (7), (8), (9), (17) are inconsistent by sub-proof #130. % 72.68/11.67 | | % 72.68/11.67 | End of split % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #130 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) all_8_60 = e2 % 72.68/11.67 (2) all_8_47 = e2 % 72.68/11.67 (3) ~ (e3 = e1) % 72.68/11.67 (4) all_8_10 = e1 % 72.68/11.67 (5) (all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = all_8_60)) | (all_8_8 % 72.68/11.67 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = all_8_65)) | (all_8_10 = e3 & % 72.68/11.67 ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 72.68/11.67 (6) all_8_7 = e0 % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | BETA: splitting (5) gives: % 72.68/11.67 | % 72.68/11.67 | Case 1: % 72.68/11.67 | | % 72.68/11.67 | | (7) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = all_8_60) % 72.68/11.67 | | % 72.68/11.67 | | ALPHA: (7) implies: % 72.68/11.67 | | (8) ~ (all_8_47 = all_8_60) % 72.68/11.67 | | % 72.68/11.67 | | REDUCE: (1), (2), (8) imply: % 72.68/11.67 | | (9) $false % 72.68/11.67 | | % 72.68/11.67 | | CLOSE: (9) is inconsistent. % 72.68/11.67 | | % 72.68/11.67 | Case 2: % 72.68/11.67 | | % 72.68/11.67 | | (10) (all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = all_8_65)) | % 72.68/11.67 | | (all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50)) % 72.68/11.67 | | % 72.68/11.67 | | BETA: splitting (10) gives: % 72.68/11.67 | | % 72.68/11.67 | | Case 1: % 72.68/11.67 | | | % 72.68/11.67 | | | (11) all_8_8 = e4 & ~ (all_8_7 = e0) & ~ (all_8_48 = all_8_65) % 72.68/11.67 | | | % 72.68/11.67 | | | ALPHA: (11) implies: % 72.68/11.67 | | | (12) ~ (all_8_7 = e0) % 72.68/11.67 | | | % 72.68/11.67 | | | REDUCE: (6), (12) imply: % 72.68/11.67 | | | (13) $false % 72.68/11.67 | | | % 72.68/11.67 | | | CLOSE: (13) is inconsistent. % 72.68/11.67 | | | % 72.68/11.67 | | Case 2: % 72.68/11.67 | | | % 72.68/11.67 | | | (14) all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50) % 72.68/11.67 | | | % 72.68/11.67 | | | ALPHA: (14) implies: % 72.68/11.67 | | | (15) all_8_10 = e3 % 72.68/11.67 | | | % 72.68/11.67 | | | COMBINE_EQS: (4), (15) imply: % 72.68/11.67 | | | (16) e3 = e1 % 72.68/11.67 | | | % 72.68/11.67 | | | REDUCE: (3), (16) imply: % 72.68/11.67 | | | (17) $false % 72.68/11.67 | | | % 72.68/11.67 | | | CLOSE: (17) is inconsistent. % 72.68/11.67 | | | % 72.68/11.67 | | End of split % 72.68/11.67 | | % 72.68/11.67 | End of split % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #131 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) all_10_6 = e3 % 72.68/11.67 (2) all_10_6 = e0 % 72.68/11.67 (3) ~ (e3 = e0) % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | COMBINE_EQS: (1), (2) imply: % 72.68/11.67 | (4) e3 = e0 % 72.68/11.67 | % 72.68/11.67 | SIMP: (4) implies: % 72.68/11.67 | (5) e3 = e0 % 72.68/11.67 | % 72.68/11.67 | REDUCE: (3), (5) imply: % 72.68/11.67 | (6) $false % 72.68/11.67 | % 72.68/11.67 | CLOSE: (6) is inconsistent. % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #132 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) all_6_21 = all_4_9 % 72.68/11.67 (2) all_6_21 = e1 % 72.68/11.67 (3) ~ (all_4_9 = e1) % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | COMBINE_EQS: (1), (2) imply: % 72.68/11.67 | (4) all_4_9 = e1 % 72.68/11.67 | % 72.68/11.67 | SIMP: (4) implies: % 72.68/11.67 | (5) all_4_9 = e1 % 72.68/11.67 | % 72.68/11.67 | REDUCE: (3), (5) imply: % 72.68/11.67 | (6) $false % 72.68/11.67 | % 72.68/11.67 | CLOSE: (6) is inconsistent. % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #133 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) all_6_9 = all_4_21 % 72.68/11.67 (2) all_6_9 = e1 % 72.68/11.67 (3) ~ (all_4_21 = e1) % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | COMBINE_EQS: (1), (2) imply: % 72.68/11.67 | (4) all_4_21 = e1 % 72.68/11.67 | % 72.68/11.67 | SIMP: (4) implies: % 72.68/11.67 | (5) all_4_21 = e1 % 72.68/11.67 | % 72.68/11.67 | REDUCE: (3), (5) imply: % 72.68/11.67 | (6) $false % 72.68/11.67 | % 72.68/11.67 | CLOSE: (6) is inconsistent. % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #134 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) ~ (all_4_6 = e1) % 72.68/11.67 (2) all_6_6 = all_4_6 % 72.68/11.67 (3) ~ (all_4_0 = e3) % 72.68/11.67 (4) all_10_4 = e0 | all_10_5 = e0 | all_10_8 = e0 | all_10_14 = e0 | % 72.68/11.67 all_10_22 = e0 % 72.68/11.67 (5) all_10_14 = all_4_13 % 72.68/11.67 (6) ~ (e1 = e0) % 72.68/11.67 (7) ~ (all_4_0 = all_4_3) % 72.68/11.67 (8) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | all_6_16 % 72.68/11.67 = e0 % 72.68/11.67 (9) all_6_15 = all_4_3 % 72.68/11.67 (10) all_10_5 = all_4_11 % 72.68/11.67 (11) all_6_0 = all_4_0 % 72.68/11.67 (12) ~ (all_4_0 = e2) % 72.68/11.67 (13) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0 % 72.68/11.67 (14) ~ (all_4_6 = e4) % 72.68/11.67 (15) ~ (all_4_3 = e1) % 72.68/11.67 (16) ~ (all_4_13 = e0) % 72.68/11.67 (17) all_10_22 = all_4_14 % 72.68/11.67 (18) ~ (e2 = e0) % 72.68/11.67 (19) ~ (all_4_3 = e3) % 72.68/11.67 (20) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1 | all_6_15 % 72.68/11.67 = e0 % 72.68/11.67 (21) ~ (all_4_6 = all_4_11) % 72.68/11.67 (22) ~ (all_4_3 = all_4_8) % 72.68/11.67 (23) ~ (all_4_8 = e1) % 72.68/11.67 (24) ~ (all_4_8 = e0) % 72.68/11.67 (25) all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e1 | all_6_0 = e0 % 72.68/11.67 (26) all_6_16 = all_4_8 % 72.68/11.67 (27) all_10_8 = e2 % 72.68/11.67 (28) ~ (all_4_14 = e0) % 72.68/11.67 (29) all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 | % 72.68/11.67 all_10_22 = e4 % 72.68/11.67 (30) ~ (all_4_14 = e4) % 72.68/11.67 (31) ~ (all_4_0 = e0) % 72.68/11.67 (32) ~ (all_4_3 = e0) % 72.68/11.67 (33) ~ (all_4_6 = all_4_8) % 72.68/11.67 (34) all_10_4 = e1 % 72.68/11.67 (35) ~ (all_4_0 = e1) % 72.68/11.67 (36) ~ (all_4_6 = e2) % 72.68/11.67 (37) ~ (all_4_8 = all_4_13) % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | BETA: splitting (25) gives: % 72.68/11.67 | % 72.68/11.67 | Case 1: % 72.68/11.67 | | % 72.68/11.67 | | (38) all_6_0 = e1 % 72.68/11.67 | | % 72.68/11.67 | | REF_CLOSE: (11), (35), (38) are inconsistent by sub-proof #268. % 72.68/11.67 | | % 72.68/11.67 | Case 2: % 72.68/11.67 | | % 72.68/11.67 | | (39) ~ (all_6_0 = e1) % 72.68/11.67 | | (40) all_6_0 = e4 | all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0 % 72.68/11.67 | | % 72.68/11.67 | | BETA: splitting (40) gives: % 72.68/11.67 | | % 72.68/11.67 | | Case 1: % 72.68/11.67 | | | % 72.68/11.67 | | | (41) all_6_0 = e4 % 72.68/11.67 | | | % 72.68/11.67 | | | COMBINE_EQS: (11), (41) imply: % 72.68/11.67 | | | (42) all_4_0 = e4 % 72.68/11.67 | | | % 72.68/11.67 | | | SIMP: (42) implies: % 72.68/11.67 | | | (43) all_4_0 = e4 % 72.68/11.67 | | | % 72.68/11.67 | | | REDUCE: (7), (43) imply: % 72.68/11.67 | | | (44) ~ (all_4_3 = e4) % 72.68/11.67 | | | % 72.68/11.67 | | | SIMP: (44) implies: % 72.68/11.67 | | | (45) ~ (all_4_3 = e4) % 72.68/11.67 | | | % 72.68/11.67 | | | REDUCE: (35), (43) imply: % 72.68/11.67 | | | (46) ~ (e4 = e1) % 72.68/11.67 | | | % 72.68/11.67 | | | REDUCE: (31), (43) imply: % 72.68/11.67 | | | (47) ~ (e4 = e0) % 72.68/11.67 | | | % 72.68/11.67 | | | BETA: splitting (20) gives: % 72.68/11.67 | | | % 72.68/11.67 | | | Case 1: % 72.68/11.67 | | | | % 72.68/11.67 | | | | (48) all_6_15 = e1 % 72.68/11.67 | | | | % 72.68/11.67 | | | | COMBINE_EQS: (9), (48) imply: % 72.68/11.67 | | | | (49) all_4_3 = e1 % 72.68/11.67 | | | | % 72.68/11.67 | | | | REDUCE: (15), (49) imply: % 72.68/11.67 | | | | (50) $false % 72.68/11.67 | | | | % 72.68/11.67 | | | | CLOSE: (50) is inconsistent. % 72.68/11.67 | | | | % 72.68/11.67 | | | Case 2: % 72.68/11.67 | | | | % 72.68/11.67 | | | | (51) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0 % 72.68/11.67 | | | | % 72.68/11.67 | | | | BETA: splitting (51) gives: % 72.68/11.67 | | | | % 72.68/11.67 | | | | Case 1: % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | (52) all_6_15 = e4 % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | COMBINE_EQS: (9), (52) imply: % 72.68/11.67 | | | | | (53) all_4_3 = e4 % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | REDUCE: (45), (53) imply: % 72.68/11.67 | | | | | (54) $false % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | CLOSE: (54) is inconsistent. % 72.68/11.67 | | | | | % 72.68/11.67 | | | | Case 2: % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | (55) ~ (all_6_15 = e4) % 72.68/11.67 | | | | | (56) all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0 % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | BETA: splitting (4) gives: % 72.68/11.67 | | | | | % 72.68/11.67 | | | | | Case 1: % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | (57) all_10_4 = e0 % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | REF_CLOSE: (6), (34), (57) are inconsistent by sub-proof #264. % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | Case 2: % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | (58) all_10_5 = e0 | all_10_8 = e0 | all_10_14 = e0 | all_10_22 = % 72.68/11.67 | | | | | | e0 % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | BETA: splitting (58) gives: % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | | Case 1: % 72.68/11.67 | | | | | | | % 72.68/11.67 | | | | | | | (59) all_10_5 = e0 % 72.68/11.67 | | | | | | | % 72.68/11.67 | | | | | | | COMBINE_EQS: (10), (59) imply: % 72.68/11.67 | | | | | | | (60) all_4_11 = e0 % 72.68/11.67 | | | | | | | % 72.68/11.67 | | | | | | | SIMP: (60) implies: % 72.68/11.67 | | | | | | | (61) all_4_11 = e0 % 72.68/11.67 | | | | | | | % 72.68/11.67 | | | | | | | REDUCE: (21), (61) imply: % 72.68/11.67 | | | | | | | (62) ~ (all_4_6 = e0) % 72.68/11.67 | | | | | | | % 72.68/11.67 | | | | | | | BETA: splitting (56) gives: % 72.68/11.67 | | | | | | | % 72.68/11.67 | | | | | | | Case 1: % 72.68/11.67 | | | | | | | | % 72.68/11.67 | | | | | | | | (63) all_6_15 = e2 % 72.68/11.67 | | | | | | | | % 72.68/11.67 | | | | | | | | COMBINE_EQS: (9), (63) imply: % 72.68/11.67 | | | | | | | | (64) all_4_3 = e2 % 72.68/11.67 | | | | | | | | % 72.68/11.67 | | | | | | | | REDUCE: (22), (64) imply: % 72.68/11.67 | | | | | | | | (65) ~ (all_4_8 = e2) % 72.68/11.67 | | | | | | | | % 72.68/11.67 | | | | | | | | SIMP: (65) implies: % 72.68/11.67 | | | | | | | | (66) ~ (all_4_8 = e2) % 72.68/11.67 | | | | | | | | % 72.68/11.67 | | | | | | | | REDUCE: (45), (64) imply: % 72.68/11.67 | | | | | | | | (67) ~ (e4 = e2) % 72.68/11.67 | | | | | | | | % 72.68/11.67 | | | | | | | | SIMP: (67) implies: % 72.68/11.67 | | | | | | | | (68) ~ (e4 = e2) % 72.68/11.67 | | | | | | | | % 72.68/11.67 | | | | | | | | BETA: splitting (13) gives: % 72.68/11.67 | | | | | | | | % 72.68/11.67 | | | | | | | | Case 1: % 72.68/11.67 | | | | | | | | | % 72.68/11.67 | | | | | | | | | (69) all_6_6 = e1 % 72.68/11.67 | | | | | | | | | % 72.68/11.67 | | | | | | | | | REF_CLOSE: (1), (2), (69) are inconsistent by sub-proof #246. % 72.68/11.67 | | | | | | | | | % 72.68/11.67 | | | | | | | | Case 2: % 72.68/11.67 | | | | | | | | | % 72.68/11.67 | | | | | | | | | (70) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 | all_6_6 = % 72.68/11.67 | | | | | | | | | e0 % 72.68/11.67 | | | | | | | | | % 72.68/11.67 | | | | | | | | | BETA: splitting (70) gives: % 72.68/11.67 | | | | | | | | | % 72.68/11.67 | | | | | | | | | Case 1: % 72.68/11.67 | | | | | | | | | | % 72.68/11.67 | | | | | | | | | | (71) all_6_6 = e4 % 72.68/11.67 | | | | | | | | | | % 72.68/11.67 | | | | | | | | | | REF_CLOSE: (2), (14), (71) are inconsistent by sub-proof % 72.68/11.67 | | | | | | | | | | #244. % 72.68/11.67 | | | | | | | | | | % 72.68/11.67 | | | | | | | | | Case 2: % 72.68/11.67 | | | | | | | | | | % 72.68/11.67 | | | | | | | | | | (72) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e0 % 72.68/11.67 | | | | | | | | | | % 72.68/11.67 | | | | | | | | | | REF_CLOSE: (2), (5), (8), (17), (23), (24), (26), (27), (29), % 72.68/11.67 | | | | | | | | | | (30), (33), (34), (36), (37), (46), (47), (59), % 72.68/11.67 | | | | | | | | | | (62), (66), (68), (72) are inconsistent by % 72.68/11.67 | | | | | | | | | | sub-proof #202. % 72.68/11.67 | | | | | | | | | | % 72.68/11.67 | | | | | | | | | End of split % 72.68/11.67 | | | | | | | | | % 72.68/11.67 | | | | | | | | End of split % 72.68/11.67 | | | | | | | | % 72.68/11.67 | | | | | | | Case 2: % 72.68/11.67 | | | | | | | | % 72.68/11.67 | | | | | | | | (73) all_6_15 = e3 | all_6_15 = e0 % 72.68/11.67 | | | | | | | | % 72.68/11.67 | | | | | | | | REF_CLOSE: (9), (19), (32), (73) are inconsistent by sub-proof % 72.68/11.67 | | | | | | | | #229. % 72.68/11.67 | | | | | | | | % 72.68/11.67 | | | | | | | End of split % 72.68/11.67 | | | | | | | % 72.68/11.67 | | | | | | Case 2: % 72.68/11.67 | | | | | | | % 72.68/11.67 | | | | | | | (74) all_10_8 = e0 | all_10_14 = e0 | all_10_22 = e0 % 72.68/11.67 | | | | | | | % 72.68/11.67 | | | | | | | REF_CLOSE: (5), (16), (17), (18), (27), (28), (74) are % 72.68/11.67 | | | | | | | inconsistent by sub-proof #252. % 72.68/11.67 | | | | | | | % 72.68/11.67 | | | | | | End of split % 72.68/11.67 | | | | | | % 72.68/11.67 | | | | | End of split % 72.68/11.67 | | | | | % 72.68/11.67 | | | | End of split % 72.68/11.67 | | | | % 72.68/11.67 | | | End of split % 72.68/11.67 | | | % 72.68/11.67 | | Case 2: % 72.68/11.67 | | | % 72.68/11.67 | | | (75) all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0 % 72.68/11.67 | | | % 72.68/11.67 | | | REF_CLOSE: (3), (11), (12), (31), (75) are inconsistent by sub-proof #228. % 72.68/11.67 | | | % 72.68/11.67 | | End of split % 72.68/11.67 | | % 72.68/11.67 | End of split % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #135 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e0 % 72.68/11.67 (2) all_6_7 = all_4_11 % 72.68/11.67 (3) ~ (all_4_11 = e0) % 72.68/11.67 (4) ~ (all_4_11 = e2) % 72.68/11.67 (5) ~ (all_4_11 = e3) % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | BETA: splitting (1) gives: % 72.68/11.67 | % 72.68/11.67 | Case 1: % 72.68/11.67 | | % 72.68/11.67 | | (6) all_6_7 = e2 % 72.68/11.67 | | % 72.68/11.67 | | COMBINE_EQS: (2), (6) imply: % 72.68/11.67 | | (7) all_4_11 = e2 % 72.68/11.67 | | % 72.68/11.67 | | REDUCE: (4), (7) imply: % 72.68/11.67 | | (8) $false % 72.68/11.67 | | % 72.68/11.67 | | CLOSE: (8) is inconsistent. % 72.68/11.67 | | % 72.68/11.67 | Case 2: % 72.68/11.67 | | % 72.68/11.67 | | (9) all_6_7 = e3 | all_6_7 = e0 % 72.68/11.67 | | % 72.68/11.67 | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #136. % 72.68/11.67 | | % 72.68/11.67 | End of split % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #136 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) all_6_7 = e3 | all_6_7 = e0 % 72.68/11.67 (2) all_6_7 = all_4_11 % 72.68/11.67 (3) ~ (all_4_11 = e3) % 72.68/11.67 (4) ~ (all_4_11 = e0) % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | BETA: splitting (1) gives: % 72.68/11.67 | % 72.68/11.67 | Case 1: % 72.68/11.67 | | % 72.68/11.67 | | (5) all_6_7 = e3 % 72.68/11.67 | | % 72.68/11.67 | | COMBINE_EQS: (2), (5) imply: % 72.68/11.67 | | (6) all_4_11 = e3 % 72.68/11.67 | | % 72.68/11.67 | | REDUCE: (3), (6) imply: % 72.68/11.67 | | (7) $false % 72.68/11.67 | | % 72.68/11.67 | | CLOSE: (7) is inconsistent. % 72.68/11.67 | | % 72.68/11.67 | Case 2: % 72.68/11.67 | | % 72.68/11.67 | | (8) all_6_7 = e0 % 72.68/11.67 | | % 72.68/11.67 | | COMBINE_EQS: (2), (8) imply: % 72.68/11.67 | | (9) all_4_11 = e0 % 72.68/11.67 | | % 72.68/11.67 | | REDUCE: (4), (9) imply: % 72.68/11.67 | | (10) $false % 72.68/11.67 | | % 72.68/11.67 | | CLOSE: (10) is inconsistent. % 72.68/11.67 | | % 72.68/11.67 | End of split % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #137 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) ~ (all_4_1 = e1) % 72.68/11.67 (2) ~ (all_4_1 = e0) % 72.68/11.67 (3) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1 | all_6_5 = e0 % 72.68/11.67 (4) all_6_5 = all_4_1 % 72.68/11.67 (5) ~ (all_4_1 = e4) % 72.68/11.67 (6) ~ (all_4_1 = e3) % 72.68/11.67 (7) ~ (all_4_1 = e2) % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | BETA: splitting (3) gives: % 72.68/11.67 | % 72.68/11.67 | Case 1: % 72.68/11.67 | | % 72.68/11.67 | | (8) all_6_5 = e1 % 72.68/11.67 | | % 72.68/11.67 | | COMBINE_EQS: (4), (8) imply: % 72.68/11.67 | | (9) all_4_1 = e1 % 72.68/11.67 | | % 72.68/11.67 | | REDUCE: (1), (9) imply: % 72.68/11.67 | | (10) $false % 72.68/11.67 | | % 72.68/11.67 | | CLOSE: (10) is inconsistent. % 72.68/11.67 | | % 72.68/11.67 | Case 2: % 72.68/11.67 | | % 72.68/11.67 | | (11) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0 % 72.68/11.67 | | % 72.68/11.67 | | REF_CLOSE: (2), (4), (5), (6), (7), (11) are inconsistent by sub-proof #171. % 72.68/11.67 | | % 72.68/11.67 | End of split % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #138 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) all_10_3 = e2 % 72.68/11.67 (2) all_10_3 = e0 % 72.68/11.67 (3) ~ (e2 = e0) % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | COMBINE_EQS: (1), (2) imply: % 72.68/11.67 | (4) e2 = e0 % 72.68/11.67 | % 72.68/11.67 | SIMP: (4) implies: % 72.68/11.67 | (5) e2 = e0 % 72.68/11.67 | % 72.68/11.67 | REDUCE: (3), (5) imply: % 72.68/11.67 | (6) $false % 72.68/11.67 | % 72.68/11.67 | CLOSE: (6) is inconsistent. % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #139 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) all_10_7 = e4 % 72.68/11.67 (2) all_10_7 = e1 % 72.68/11.67 (3) ~ (e4 = e1) % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | COMBINE_EQS: (1), (2) imply: % 72.68/11.67 | (4) e4 = e1 % 72.68/11.67 | % 72.68/11.67 | SIMP: (4) implies: % 72.68/11.67 | (5) e4 = e1 % 72.68/11.67 | % 72.68/11.67 | REDUCE: (3), (5) imply: % 72.68/11.67 | (6) $false % 72.68/11.67 | % 72.68/11.67 | CLOSE: (6) is inconsistent. % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #140 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) all_6_21 = all_4_9 % 72.68/11.67 (2) all_6_21 = e0 % 72.68/11.67 (3) ~ (all_4_9 = e0) % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | COMBINE_EQS: (1), (2) imply: % 72.68/11.67 | (4) all_4_9 = e0 % 72.68/11.67 | % 72.68/11.67 | SIMP: (4) implies: % 72.68/11.67 | (5) all_4_9 = e0 % 72.68/11.67 | % 72.68/11.67 | REDUCE: (3), (5) imply: % 72.68/11.67 | (6) $false % 72.68/11.67 | % 72.68/11.67 | CLOSE: (6) is inconsistent. % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #141 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) (all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 = all_8_68)) | % 72.68/11.67 (all_8_37 = e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = all_8_65)) % 72.68/11.67 (2) all_8_63 = e1 % 72.68/11.67 (3) all_8_65 = e4 % 72.68/11.67 (4) all_8_48 = e4 % 72.68/11.67 (5) all_8_68 = e1 % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | BETA: splitting (1) gives: % 72.68/11.67 | % 72.68/11.67 | Case 1: % 72.68/11.67 | | % 72.68/11.67 | | (6) all_8_35 = e1 & ~ (all_8_34 = e0) & ~ (all_8_63 = all_8_68) % 72.68/11.67 | | % 72.68/11.67 | | ALPHA: (6) implies: % 72.68/11.67 | | (7) ~ (all_8_63 = all_8_68) % 72.68/11.67 | | % 72.68/11.67 | | REDUCE: (2), (5), (7) imply: % 72.68/11.67 | | (8) $false % 72.68/11.67 | | % 72.68/11.67 | | CLOSE: (8) is inconsistent. % 72.68/11.67 | | % 72.68/11.67 | Case 2: % 72.68/11.67 | | % 72.68/11.67 | | (9) all_8_37 = e0 & ~ (all_8_36 = e4) & ~ (all_8_48 = all_8_65) % 72.68/11.67 | | % 72.68/11.67 | | ALPHA: (9) implies: % 72.68/11.67 | | (10) ~ (all_8_48 = all_8_65) % 72.68/11.67 | | % 72.68/11.67 | | REDUCE: (3), (4), (10) imply: % 72.68/11.67 | | (11) $false % 72.68/11.67 | | % 72.68/11.67 | | CLOSE: (11) is inconsistent. % 72.68/11.67 | | % 72.68/11.67 | End of split % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #142 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) ~ (e2 = e1) % 72.68/11.67 (2) ~ (e3 = e1) % 72.68/11.67 (3) all_8_30 = e2 % 72.68/11.67 (4) ~ (e4 = e1) % 72.68/11.67 (5) all_8_28 = e3 % 72.68/11.67 (6) all_8_32 = e4 % 72.68/11.67 (7) (all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = all_8_60)) | % 72.68/11.67 (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 = all_8_61)) | % 72.68/11.67 (all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = all_8_62)) % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | BETA: splitting (7) gives: % 72.68/11.67 | % 72.68/11.67 | Case 1: % 72.68/11.67 | | % 72.68/11.67 | | (8) all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = all_8_60) % 72.68/11.67 | | % 72.68/11.67 | | REF_CLOSE: (2), (5), (8) are inconsistent by sub-proof #208. % 72.68/11.67 | | % 72.68/11.67 | Case 2: % 72.68/11.67 | | % 72.68/11.67 | | (9) (all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 = all_8_61)) | % 72.68/11.67 | | (all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = all_8_62)) % 72.68/11.67 | | % 72.68/11.67 | | BETA: splitting (9) gives: % 72.68/11.67 | | % 72.68/11.67 | | Case 1: % 72.68/11.67 | | | % 72.68/11.67 | | | (10) all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 = all_8_61) % 72.68/11.67 | | | % 72.68/11.67 | | | REF_CLOSE: (1), (3), (10) are inconsistent by sub-proof #144. % 72.68/11.67 | | | % 72.68/11.67 | | Case 2: % 72.68/11.67 | | | % 72.68/11.67 | | | (11) all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = all_8_62) % 72.68/11.67 | | | % 72.68/11.67 | | | REF_CLOSE: (4), (6), (11) are inconsistent by sub-proof #143. % 72.68/11.67 | | | % 72.68/11.67 | | End of split % 72.68/11.67 | | % 72.68/11.67 | End of split % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #143 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) all_8_32 = e1 & ~ (all_8_31 = e2) & ~ (all_8_57 = all_8_62) % 72.68/11.67 (2) all_8_32 = e4 % 72.68/11.67 (3) ~ (e4 = e1) % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | ALPHA: (1) implies: % 72.68/11.67 | (4) all_8_32 = e1 % 72.68/11.67 | % 72.68/11.67 | COMBINE_EQS: (2), (4) imply: % 72.68/11.67 | (5) e4 = e1 % 72.68/11.67 | % 72.68/11.67 | SIMP: (5) implies: % 72.68/11.67 | (6) e4 = e1 % 72.68/11.67 | % 72.68/11.67 | REDUCE: (3), (6) imply: % 72.68/11.67 | (7) $false % 72.68/11.67 | % 72.68/11.67 | CLOSE: (7) is inconsistent. % 72.68/11.67 | % 72.68/11.67 End of proof % 72.68/11.67 % 72.68/11.67 Sub-proof #144 shows that the following formulas are inconsistent: % 72.68/11.67 ---------------------------------------------------------------- % 72.68/11.67 (1) all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 = all_8_61) % 72.68/11.67 (2) all_8_30 = e2 % 72.68/11.67 (3) ~ (e2 = e1) % 72.68/11.67 % 72.68/11.67 Begin of proof % 72.68/11.67 | % 72.68/11.67 | ALPHA: (1) implies: % 72.68/11.67 | (4) all_8_30 = e1 % 72.68/11.67 | % 72.68/11.67 | COMBINE_EQS: (2), (4) imply: % 72.68/11.68 | (5) e2 = e1 % 72.68/11.68 | % 72.68/11.68 | SIMP: (5) implies: % 72.68/11.68 | (6) e2 = e1 % 72.68/11.68 | % 72.68/11.68 | REDUCE: (3), (6) imply: % 72.68/11.68 | (7) $false % 72.68/11.68 | % 72.68/11.68 | CLOSE: (7) is inconsistent. % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #145 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) ~ (e4 = e2) % 72.68/11.68 (2) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = all_8_56)) | % 72.68/11.68 (all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 = all_8_61)) | % 72.68/11.68 (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = all_8_66)) | % 72.68/11.68 (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 = all_8_55)) | % 72.68/11.68 (all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = all_8_56)) % 72.68/11.68 (3) all_8_53 = e3 % 72.68/11.68 (4) all_8_15 = e4 % 72.68/11.68 (5) all_8_21 = e4 % 72.68/11.68 (6) all_8_19 = e1 % 72.68/11.68 (7) ~ (e2 = e1) % 72.68/11.68 (8) ~ (e3 = e1) % 72.68/11.68 (9) ~ (e4 = e3) % 72.68/11.68 (10) all_8_66 = e3 % 72.68/11.68 (11) all_8_13 = e1 % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | BETA: splitting (2) gives: % 72.68/11.68 | % 72.68/11.68 | Case 1: % 72.68/11.68 | | % 72.68/11.68 | | (12) (all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = all_8_56)) | % 72.68/11.68 | | (all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 = all_8_61)) % 72.68/11.68 | | % 72.68/11.68 | | BETA: splitting (12) gives: % 72.68/11.68 | | % 72.68/11.68 | | Case 1: % 72.68/11.68 | | | % 72.68/11.68 | | | (13) all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = all_8_56) % 72.68/11.68 | | | % 72.68/11.68 | | | REF_CLOSE: (8), (11), (13) are inconsistent by sub-proof #149. % 72.68/11.68 | | | % 72.68/11.68 | | Case 2: % 72.68/11.68 | | | % 72.68/11.68 | | | (14) all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 = all_8_61) % 72.68/11.68 | | | % 72.68/11.68 | | | REF_CLOSE: (4), (9), (14) are inconsistent by sub-proof #148. % 72.68/11.68 | | | % 72.68/11.68 | | End of split % 72.68/11.68 | | % 72.68/11.68 | Case 2: % 72.68/11.68 | | % 72.68/11.68 | | (15) (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = all_8_66)) | % 72.68/11.68 | | (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 = all_8_55)) | % 72.68/11.68 | | (all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = all_8_56)) % 72.68/11.68 | | % 72.68/11.68 | | REF_CLOSE: (1), (3), (5), (6), (7), (10), (15) are inconsistent by sub-proof % 72.68/11.68 | | #146. % 72.68/11.68 | | % 72.68/11.68 | End of split % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #146 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) ~ (e4 = e2) % 72.68/11.68 (2) all_8_53 = e3 % 72.68/11.68 (3) all_8_21 = e4 % 72.68/11.68 (4) all_8_19 = e1 % 72.68/11.68 (5) ~ (e2 = e1) % 72.68/11.68 (6) all_8_66 = e3 % 72.68/11.68 (7) (all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = all_8_66)) | % 72.68/11.68 (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 = all_8_55)) | % 72.68/11.68 (all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = all_8_56)) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | BETA: splitting (7) gives: % 72.68/11.68 | % 72.68/11.68 | Case 1: % 72.68/11.68 | | % 72.68/11.68 | | (8) all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = all_8_66) % 72.68/11.68 | | % 72.68/11.68 | | ALPHA: (8) implies: % 72.68/11.68 | | (9) ~ (all_8_53 = all_8_66) % 72.68/11.68 | | % 72.68/11.68 | | REDUCE: (2), (6), (9) imply: % 72.68/11.68 | | (10) $false % 72.68/11.68 | | % 72.68/11.68 | | CLOSE: (10) is inconsistent. % 72.68/11.68 | | % 72.68/11.68 | Case 2: % 72.68/11.68 | | % 72.68/11.68 | | (11) (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 = all_8_55)) | % 72.68/11.68 | | (all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = all_8_56)) % 72.68/11.68 | | % 72.68/11.68 | | BETA: splitting (11) gives: % 72.68/11.68 | | % 72.68/11.68 | | Case 1: % 72.68/11.68 | | | % 72.68/11.68 | | | (12) all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 = all_8_55) % 72.68/11.68 | | | % 72.68/11.68 | | | REF_CLOSE: (4), (5), (12) are inconsistent by sub-proof #147. % 72.68/11.68 | | | % 72.68/11.68 | | Case 2: % 72.68/11.68 | | | % 72.68/11.68 | | | (13) all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = all_8_56) % 72.68/11.68 | | | % 72.68/11.68 | | | REF_CLOSE: (1), (3), (13) are inconsistent by sub-proof #211. % 72.68/11.68 | | | % 72.68/11.68 | | End of split % 72.68/11.68 | | % 72.68/11.68 | End of split % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #147 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 = all_8_55) % 72.68/11.68 (2) all_8_19 = e1 % 72.68/11.68 (3) ~ (e2 = e1) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | ALPHA: (1) implies: % 72.68/11.68 | (4) all_8_19 = e2 % 72.68/11.68 | % 72.68/11.68 | COMBINE_EQS: (2), (4) imply: % 72.68/11.68 | (5) e2 = e1 % 72.68/11.68 | % 72.68/11.68 | SIMP: (5) implies: % 72.68/11.68 | (6) e2 = e1 % 72.68/11.68 | % 72.68/11.68 | REDUCE: (3), (6) imply: % 72.68/11.68 | (7) $false % 72.68/11.68 | % 72.68/11.68 | CLOSE: (7) is inconsistent. % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #148 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 = all_8_61) % 72.68/11.68 (2) all_8_15 = e4 % 72.68/11.68 (3) ~ (e4 = e3) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | ALPHA: (1) implies: % 72.68/11.68 | (4) all_8_15 = e3 % 72.68/11.68 | % 72.68/11.68 | COMBINE_EQS: (2), (4) imply: % 72.68/11.68 | (5) e4 = e3 % 72.68/11.68 | % 72.68/11.68 | REDUCE: (3), (5) imply: % 72.68/11.68 | (6) $false % 72.68/11.68 | % 72.68/11.68 | CLOSE: (6) is inconsistent. % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #149 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) all_8_13 = e3 & ~ (all_8_12 = e2) & ~ (all_8_51 = all_8_56) % 72.68/11.68 (2) all_8_13 = e1 % 72.68/11.68 (3) ~ (e3 = e1) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | ALPHA: (1) implies: % 72.68/11.68 | (4) all_8_13 = e3 % 72.68/11.68 | % 72.68/11.68 | COMBINE_EQS: (2), (4) imply: % 72.68/11.68 | (5) e3 = e1 % 72.68/11.68 | % 72.68/11.68 | SIMP: (5) implies: % 72.68/11.68 | (6) e3 = e1 % 72.68/11.68 | % 72.68/11.68 | REDUCE: (3), (6) imply: % 72.68/11.68 | (7) $false % 72.68/11.68 | % 72.68/11.68 | CLOSE: (7) is inconsistent. % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #150 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) all_8_10 = e3 & ~ (all_8_9 = e4) & ~ (all_8_45 = all_8_50) % 72.68/11.68 (2) all_8_10 = e2 % 72.68/11.68 (3) ~ (e3 = e2) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | ALPHA: (1) implies: % 72.68/11.68 | (4) all_8_10 = e3 % 72.68/11.68 | % 72.68/11.68 | COMBINE_EQS: (2), (4) imply: % 72.68/11.68 | (5) e3 = e2 % 72.68/11.68 | % 72.68/11.68 | SIMP: (5) implies: % 72.68/11.68 | (6) e3 = e2 % 72.68/11.68 | % 72.68/11.68 | REDUCE: (3), (6) imply: % 72.68/11.68 | (7) $false % 72.68/11.68 | % 72.68/11.68 | CLOSE: (7) is inconsistent. % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #151 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = all_8_60) % 72.68/11.68 (2) all_8_6 = e2 % 72.68/11.68 (3) ~ (e4 = e2) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | ALPHA: (1) implies: % 72.68/11.68 | (4) all_8_6 = e4 % 72.68/11.68 | % 72.68/11.68 | COMBINE_EQS: (2), (4) imply: % 72.68/11.68 | (5) e4 = e2 % 72.68/11.68 | % 72.68/11.68 | REDUCE: (3), (5) imply: % 72.68/11.68 | (6) $false % 72.68/11.68 | % 72.68/11.68 | CLOSE: (6) is inconsistent. % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #152 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = all_8_55) % 72.68/11.68 (2) all_8_4 = e3 % 72.68/11.68 (3) ~ (e4 = e3) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | ALPHA: (1) implies: % 72.68/11.68 | (4) all_8_4 = e4 % 72.68/11.68 | % 72.68/11.68 | COMBINE_EQS: (2), (4) imply: % 72.68/11.68 | (5) e4 = e3 % 72.68/11.68 | % 72.68/11.68 | REDUCE: (3), (5) imply: % 72.68/11.68 | (6) $false % 72.68/11.68 | % 72.68/11.68 | CLOSE: (6) is inconsistent. % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #153 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) all_10_11 = e4 % 72.68/11.68 (2) all_10_11 = e1 % 72.68/11.68 (3) ~ (e4 = e1) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | COMBINE_EQS: (1), (2) imply: % 72.68/11.68 | (4) e4 = e1 % 72.68/11.68 | % 72.68/11.68 | SIMP: (4) implies: % 72.68/11.68 | (5) e4 = e1 % 72.68/11.68 | % 72.68/11.68 | REDUCE: (3), (5) imply: % 72.68/11.68 | (6) $false % 72.68/11.68 | % 72.68/11.68 | CLOSE: (6) is inconsistent. % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #154 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) all_6_21 = all_4_9 % 72.68/11.68 (2) all_6_21 = e2 % 72.68/11.68 (3) ~ (all_4_9 = e2) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | COMBINE_EQS: (1), (2) imply: % 72.68/11.68 | (4) all_4_9 = e2 % 72.68/11.68 | % 72.68/11.68 | SIMP: (4) implies: % 72.68/11.68 | (5) all_4_9 = e2 % 72.68/11.68 | % 72.68/11.68 | REDUCE: (3), (5) imply: % 72.68/11.68 | (6) $false % 72.68/11.68 | % 72.68/11.68 | CLOSE: (6) is inconsistent. % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #155 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) all_10_3 = e4 % 72.68/11.68 (2) all_10_3 = e0 % 72.68/11.68 (3) ~ (e4 = e0) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | COMBINE_EQS: (1), (2) imply: % 72.68/11.68 | (4) e4 = e0 % 72.68/11.68 | % 72.68/11.68 | SIMP: (4) implies: % 72.68/11.68 | (5) e4 = e0 % 72.68/11.68 | % 72.68/11.68 | REDUCE: (3), (5) imply: % 72.68/11.68 | (6) $false % 72.68/11.68 | % 72.68/11.68 | CLOSE: (6) is inconsistent. % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #156 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) all_10_10 = e2 % 72.68/11.68 (2) all_10_10 = e1 % 72.68/11.68 (3) ~ (e2 = e1) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | COMBINE_EQS: (1), (2) imply: % 72.68/11.68 | (4) e2 = e1 % 72.68/11.68 | % 72.68/11.68 | SIMP: (4) implies: % 72.68/11.68 | (5) e2 = e1 % 72.68/11.68 | % 72.68/11.68 | REDUCE: (3), (5) imply: % 72.68/11.68 | (6) $false % 72.68/11.68 | % 72.68/11.68 | CLOSE: (6) is inconsistent. % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #157 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) all_6_3 = all_4_15 % 72.68/11.68 (2) all_6_3 = e2 % 72.68/11.68 (3) ~ (all_4_15 = e2) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | COMBINE_EQS: (1), (2) imply: % 72.68/11.68 | (4) all_4_15 = e2 % 72.68/11.68 | % 72.68/11.68 | SIMP: (4) implies: % 72.68/11.68 | (5) all_4_15 = e2 % 72.68/11.68 | % 72.68/11.68 | REDUCE: (3), (5) imply: % 72.68/11.68 | (6) $false % 72.68/11.68 | % 72.68/11.68 | CLOSE: (6) is inconsistent. % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #158 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) ~ (all_4_3 = e2) % 72.68/11.68 (2) all_6_15 = all_4_3 % 72.68/11.68 (3) ~ (all_4_4 = e2) % 72.68/11.68 (4) ~ (all_4_3 = e3) % 72.68/11.68 (5) ~ (all_4_4 = e0) % 72.68/11.68 (6) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0 % 72.68/11.68 (7) ~ (all_4_3 = all_4_4) % 72.68/11.68 (8) ~ (all_4_4 = e3) % 72.68/11.68 (9) all_6_20 = all_4_4 % 72.68/11.68 (10) ~ (all_4_3 = e0) % 72.68/11.68 (11) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e0 % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | BETA: splitting (6) gives: % 72.68/11.68 | % 72.68/11.68 | Case 1: % 72.68/11.68 | | % 72.68/11.68 | | (12) all_6_15 = e4 % 72.68/11.68 | | % 72.68/11.68 | | COMBINE_EQS: (2), (12) imply: % 72.68/11.68 | | (13) all_4_3 = e4 % 72.68/11.68 | | % 72.68/11.68 | | REDUCE: (7), (13) imply: % 72.68/11.68 | | (14) ~ (all_4_4 = e4) % 72.68/11.68 | | % 72.68/11.68 | | SIMP: (14) implies: % 72.68/11.68 | | (15) ~ (all_4_4 = e4) % 72.68/11.68 | | % 72.68/11.68 | | REF_CLOSE: (3), (5), (8), (9), (11), (15) are inconsistent by sub-proof % 72.68/11.68 | | #261. % 72.68/11.68 | | % 72.68/11.68 | Case 2: % 72.68/11.68 | | % 72.68/11.68 | | (16) all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0 % 72.68/11.68 | | % 72.68/11.68 | | REF_CLOSE: (1), (2), (4), (10), (16) are inconsistent by sub-proof #159. % 72.68/11.68 | | % 72.68/11.68 | End of split % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #159 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e0 % 72.68/11.68 (2) ~ (all_4_3 = e2) % 72.68/11.68 (3) all_6_15 = all_4_3 % 72.68/11.68 (4) ~ (all_4_3 = e3) % 72.68/11.68 (5) ~ (all_4_3 = e0) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | BETA: splitting (1) gives: % 72.68/11.68 | % 72.68/11.68 | Case 1: % 72.68/11.68 | | % 72.68/11.68 | | (6) all_6_15 = e2 % 72.68/11.68 | | % 72.68/11.68 | | COMBINE_EQS: (3), (6) imply: % 72.68/11.68 | | (7) all_4_3 = e2 % 72.68/11.68 | | % 72.68/11.68 | | REDUCE: (2), (7) imply: % 72.68/11.68 | | (8) $false % 72.68/11.68 | | % 72.68/11.68 | | CLOSE: (8) is inconsistent. % 72.68/11.68 | | % 72.68/11.68 | Case 2: % 72.68/11.68 | | % 72.68/11.68 | | (9) all_6_15 = e3 | all_6_15 = e0 % 72.68/11.68 | | % 72.68/11.68 | | REF_CLOSE: (3), (4), (5), (9) are inconsistent by sub-proof #229. % 72.68/11.68 | | % 72.68/11.68 | End of split % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #160 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) all_6_20 = all_4_4 % 72.68/11.68 (2) all_6_20 = e1 % 72.68/11.68 (3) ~ (all_4_4 = e1) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | COMBINE_EQS: (1), (2) imply: % 72.68/11.68 | (4) all_4_4 = e1 % 72.68/11.68 | % 72.68/11.68 | SIMP: (4) implies: % 72.68/11.68 | (5) all_4_4 = e1 % 72.68/11.68 | % 72.68/11.68 | REDUCE: (3), (5) imply: % 72.68/11.68 | (6) $false % 72.68/11.68 | % 72.68/11.68 | CLOSE: (6) is inconsistent. % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #161 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) ~ (all_4_1 = e0) % 72.68/11.68 (2) all_10_2 = all_4_1 % 72.68/11.68 (3) all_6_5 = all_4_1 % 72.68/11.68 (4) all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0 % 72.68/11.68 (5) ~ (all_10_2 = e2) % 72.68/11.68 (6) ~ (all_4_1 = e3) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | REDUCE: (2), (5) imply: % 72.68/11.68 | (7) ~ (all_4_1 = e2) % 72.68/11.68 | % 72.68/11.68 | BETA: splitting (4) gives: % 72.68/11.68 | % 72.68/11.68 | Case 1: % 72.68/11.68 | | % 72.68/11.68 | | (8) all_6_5 = e2 % 72.68/11.68 | | % 72.68/11.68 | | REF_CLOSE: (3), (7), (8) are inconsistent by sub-proof #259. % 72.68/11.68 | | % 72.68/11.68 | Case 2: % 72.68/11.68 | | % 72.68/11.68 | | (9) all_6_5 = e3 | all_6_5 = e0 % 72.68/11.68 | | % 72.68/11.68 | | REF_CLOSE: (1), (3), (6), (9) are inconsistent by sub-proof #257. % 72.68/11.68 | | % 72.68/11.68 | End of split % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #162 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) all_10_23 = all_4_19 % 72.68/11.68 (2) all_10_23 = e4 % 72.68/11.68 (3) ~ (all_4_19 = e4) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | COMBINE_EQS: (1), (2) imply: % 72.68/11.68 | (4) all_4_19 = e4 % 72.68/11.68 | % 72.68/11.68 | SIMP: (4) implies: % 72.68/11.68 | (5) all_4_19 = e4 % 72.68/11.68 | % 72.68/11.68 | REDUCE: (3), (5) imply: % 72.68/11.68 | (6) $false % 72.68/11.68 | % 72.68/11.68 | CLOSE: (6) is inconsistent. % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #163 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) op(e2, e3) = e2 % 72.68/11.68 (2) op(e4, e3) = e3 % 72.68/11.68 (3) ~ (e1 = e0) % 72.68/11.68 (4) op(e0, e3) = e4 % 72.68/11.68 (5) op(e0, e3) = e0 % 72.68/11.68 (6) op(e2, e3) = e1 % 72.68/11.68 (7) op(e4, e3) = e4 % 72.68/11.68 (8) op(e3, e4) = e4 % 72.68/11.68 (9) op(e3, e4) = e2 % 72.68/11.68 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 72.68/11.68 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | GROUND_INST: instantiating (10) with e4, e0, e3, e0, simplifying with (4), (5) % 72.68/11.68 | gives: % 72.68/11.68 | (11) e4 = e0 % 72.68/11.68 | % 72.68/11.68 | GROUND_INST: instantiating (10) with e1, e2, e3, e2, simplifying with (1), (6) % 72.68/11.68 | gives: % 72.68/11.68 | (12) e2 = e1 % 72.68/11.68 | % 72.68/11.68 | GROUND_INST: instantiating (10) with e2, e4, e4, e3, simplifying with (8), (9) % 72.68/11.68 | gives: % 72.68/11.68 | (13) e4 = e2 % 72.68/11.68 | % 72.68/11.68 | GROUND_INST: instantiating (10) with e3, e4, e3, e4, simplifying with (2), (7) % 72.68/11.68 | gives: % 72.68/11.68 | (14) e4 = e3 % 72.68/11.68 | % 72.68/11.68 | COMBINE_EQS: (11), (14) imply: % 72.68/11.68 | (15) e3 = e0 % 72.68/11.68 | % 72.68/11.68 | COMBINE_EQS: (13), (14) imply: % 72.68/11.68 | (16) e3 = e2 % 72.68/11.68 | % 72.68/11.68 | COMBINE_EQS: (15), (16) imply: % 72.68/11.68 | (17) e2 = e0 % 72.68/11.68 | % 72.68/11.68 | SIMP: (17) implies: % 72.68/11.68 | (18) e2 = e0 % 72.68/11.68 | % 72.68/11.68 | COMBINE_EQS: (12), (18) imply: % 72.68/11.68 | (19) e1 = e0 % 72.68/11.68 | % 72.68/11.68 | REDUCE: (3), (19) imply: % 72.68/11.68 | (20) $false % 72.68/11.68 | % 72.68/11.68 | CLOSE: (20) is inconsistent. % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #164 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) op(e4, e2) = e4 % 72.68/11.68 (2) op(e4, e2) = e1 % 72.68/11.68 (3) ~ (e3 = e1) % 72.68/11.68 (4) op(e3, e2) = e3 % 72.68/11.68 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 72.68/11.68 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 72.68/11.68 (6) op(e3, e2) = e4 % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | GROUND_INST: instantiating (5) with e4, e3, e2, e3, simplifying with (4), (6) % 72.68/11.68 | gives: % 72.68/11.68 | (7) e4 = e3 % 72.68/11.68 | % 72.68/11.68 | GROUND_INST: instantiating (5) with e1, e4, e2, e4, simplifying with (1), (2) % 72.68/11.68 | gives: % 72.68/11.68 | (8) e4 = e1 % 72.68/11.68 | % 72.68/11.68 | COMBINE_EQS: (7), (8) imply: % 72.68/11.68 | (9) e3 = e1 % 72.68/11.68 | % 72.68/11.68 | SIMP: (9) implies: % 72.68/11.68 | (10) e3 = e1 % 72.68/11.68 | % 72.68/11.68 | REDUCE: (3), (10) imply: % 72.68/11.68 | (11) $false % 72.68/11.68 | % 72.68/11.68 | CLOSE: (11) is inconsistent. % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #165 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) ~ (e1 = e0) % 72.68/11.68 (2) op(e1, e4) = e4 % 72.68/11.68 (3) op(e1, e4) = e1 % 72.68/11.68 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 72.68/11.68 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 72.68/11.68 (5) op(e4, e4) = e0 % 72.68/11.68 (6) op(e4, e4) = e4 % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | GROUND_INST: instantiating (4) with e4, e1, e4, e1, simplifying with (2), (3) % 72.68/11.68 | gives: % 72.68/11.68 | (7) e4 = e1 % 72.68/11.68 | % 72.68/11.68 | GROUND_INST: instantiating (4) with e0, e4, e4, e4, simplifying with (5), (6) % 72.68/11.68 | gives: % 72.68/11.68 | (8) e4 = e0 % 72.68/11.68 | % 72.68/11.68 | COMBINE_EQS: (7), (8) imply: % 72.68/11.68 | (9) e1 = e0 % 72.68/11.68 | % 72.68/11.68 | REDUCE: (1), (9) imply: % 72.68/11.68 | (10) $false % 72.68/11.68 | % 72.68/11.68 | CLOSE: (10) is inconsistent. % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #166 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) all_10_20 = e3 % 72.68/11.68 (2) all_10_20 = e1 % 72.68/11.68 (3) ~ (e3 = e1) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | COMBINE_EQS: (1), (2) imply: % 72.68/11.68 | (4) e3 = e1 % 72.68/11.68 | % 72.68/11.68 | SIMP: (4) implies: % 72.68/11.68 | (5) e3 = e1 % 72.68/11.68 | % 72.68/11.68 | REDUCE: (3), (5) imply: % 72.68/11.68 | (6) $false % 72.68/11.68 | % 72.68/11.68 | CLOSE: (6) is inconsistent. % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #167 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) all_10_20 = e4 % 72.68/11.68 (2) all_10_20 = e1 % 72.68/11.68 (3) ~ (e4 = e1) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | COMBINE_EQS: (1), (2) imply: % 72.68/11.68 | (4) e4 = e1 % 72.68/11.68 | % 72.68/11.68 | SIMP: (4) implies: % 72.68/11.68 | (5) e4 = e1 % 72.68/11.68 | % 72.68/11.68 | REDUCE: (3), (5) imply: % 72.68/11.68 | (6) $false % 72.68/11.68 | % 72.68/11.68 | CLOSE: (6) is inconsistent. % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #168 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) all_10_0 = e4 % 72.68/11.68 (2) all_10_0 = e0 % 72.68/11.68 (3) ~ (e4 = e0) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | COMBINE_EQS: (1), (2) imply: % 72.68/11.68 | (4) e4 = e0 % 72.68/11.68 | % 72.68/11.68 | SIMP: (4) implies: % 72.68/11.68 | (5) e4 = e0 % 72.68/11.68 | % 72.68/11.68 | REDUCE: (3), (5) imply: % 72.68/11.68 | (6) $false % 72.68/11.68 | % 72.68/11.68 | CLOSE: (6) is inconsistent. % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #169 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e0 % 72.68/11.68 (2) ~ (all_4_7 = e3) % 72.68/11.68 (3) ~ (all_4_7 = e0) % 72.68/11.68 (4) all_6_11 = all_4_7 % 72.68/11.68 (5) ~ (all_4_7 = e2) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | BETA: splitting (1) gives: % 72.68/11.68 | % 72.68/11.68 | Case 1: % 72.68/11.68 | | % 72.68/11.68 | | (6) all_6_11 = e2 % 72.68/11.68 | | % 72.68/11.68 | | COMBINE_EQS: (4), (6) imply: % 72.68/11.68 | | (7) all_4_7 = e2 % 72.68/11.68 | | % 72.68/11.68 | | REDUCE: (5), (7) imply: % 72.68/11.68 | | (8) $false % 72.68/11.68 | | % 72.68/11.68 | | CLOSE: (8) is inconsistent. % 72.68/11.68 | | % 72.68/11.68 | Case 2: % 72.68/11.68 | | % 72.68/11.68 | | (9) all_6_11 = e3 | all_6_11 = e0 % 72.68/11.68 | | % 72.68/11.68 | | REF_CLOSE: (2), (3), (4), (9) are inconsistent by sub-proof #170. % 72.68/11.68 | | % 72.68/11.68 | End of split % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #170 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) all_6_11 = e3 | all_6_11 = e0 % 72.68/11.68 (2) all_6_11 = all_4_7 % 72.68/11.68 (3) ~ (all_4_7 = e3) % 72.68/11.68 (4) ~ (all_4_7 = e0) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | BETA: splitting (1) gives: % 72.68/11.68 | % 72.68/11.68 | Case 1: % 72.68/11.68 | | % 72.68/11.68 | | (5) all_6_11 = e3 % 72.68/11.68 | | % 72.68/11.68 | | COMBINE_EQS: (2), (5) imply: % 72.68/11.68 | | (6) all_4_7 = e3 % 72.68/11.68 | | % 72.68/11.68 | | REDUCE: (3), (6) imply: % 72.68/11.68 | | (7) $false % 72.68/11.68 | | % 72.68/11.68 | | CLOSE: (7) is inconsistent. % 72.68/11.68 | | % 72.68/11.68 | Case 2: % 72.68/11.68 | | % 72.68/11.68 | | (8) all_6_11 = e0 % 72.68/11.68 | | % 72.68/11.68 | | COMBINE_EQS: (2), (8) imply: % 72.68/11.68 | | (9) all_4_7 = e0 % 72.68/11.68 | | % 72.68/11.68 | | REDUCE: (4), (9) imply: % 72.68/11.68 | | (10) $false % 72.68/11.68 | | % 72.68/11.68 | | CLOSE: (10) is inconsistent. % 72.68/11.68 | | % 72.68/11.68 | End of split % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #171 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) ~ (all_4_1 = e0) % 72.68/11.68 (2) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0 % 72.68/11.68 (3) all_6_5 = all_4_1 % 72.68/11.68 (4) ~ (all_4_1 = e4) % 72.68/11.68 (5) ~ (all_4_1 = e3) % 72.68/11.68 (6) ~ (all_4_1 = e2) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | BETA: splitting (2) gives: % 72.68/11.68 | % 72.68/11.68 | Case 1: % 72.68/11.68 | | % 72.68/11.68 | | (7) all_6_5 = e4 % 72.68/11.68 | | % 72.68/11.68 | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #260. % 72.68/11.68 | | % 72.68/11.68 | Case 2: % 72.68/11.68 | | % 72.68/11.68 | | (8) all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0 % 72.68/11.68 | | % 72.68/11.68 | | REF_CLOSE: (1), (3), (5), (6), (8) are inconsistent by sub-proof #256. % 72.68/11.68 | | % 72.68/11.68 | End of split % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #172 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) all_10_20 = all_4_4 % 72.68/11.68 (2) all_10_20 = e2 % 72.68/11.68 (3) ~ (all_4_4 = e2) % 72.68/11.68 % 72.68/11.68 Begin of proof % 72.68/11.68 | % 72.68/11.68 | COMBINE_EQS: (1), (2) imply: % 72.68/11.68 | (4) all_4_4 = e2 % 72.68/11.68 | % 72.68/11.68 | SIMP: (4) implies: % 72.68/11.68 | (5) all_4_4 = e2 % 72.68/11.68 | % 72.68/11.68 | REDUCE: (3), (5) imply: % 72.68/11.68 | (6) $false % 72.68/11.68 | % 72.68/11.68 | CLOSE: (6) is inconsistent. % 72.68/11.68 | % 72.68/11.68 End of proof % 72.68/11.68 % 72.68/11.68 Sub-proof #173 shows that the following formulas are inconsistent: % 72.68/11.68 ---------------------------------------------------------------- % 72.68/11.68 (1) ~ (all_4_8 = e4) % 72.68/11.69 (2) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 72.68/11.69 (3) ~ (all_4_3 = all_4_8) % 72.68/11.69 (4) ~ (all_4_8 = e0) % 72.68/11.69 (5) all_6_16 = all_4_8 % 72.68/11.69 (6) all_4_3 = e2 % 72.68/11.69 (7) ~ (all_4_8 = e3) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | SIMP: (6) implies: % 72.68/11.69 | (8) all_4_3 = e2 % 72.68/11.69 | % 72.68/11.69 | REDUCE: (3), (8) imply: % 72.68/11.69 | (9) ~ (all_4_8 = e2) % 72.68/11.69 | % 72.68/11.69 | SIMP: (9) implies: % 72.68/11.69 | (10) ~ (all_4_8 = e2) % 72.68/11.69 | % 72.68/11.69 | REF_CLOSE: (1), (2), (4), (5), (7), (10) are inconsistent by sub-proof #174. % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #174 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) ~ (all_4_8 = e2) % 72.68/11.69 (2) ~ (all_4_8 = e4) % 72.68/11.69 (3) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 72.68/11.69 (4) ~ (all_4_8 = e0) % 72.68/11.69 (5) all_6_16 = all_4_8 % 72.68/11.69 (6) ~ (all_4_8 = e3) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | BETA: splitting (3) gives: % 72.68/11.69 | % 72.68/11.69 | Case 1: % 72.68/11.69 | | % 72.68/11.69 | | (7) all_6_16 = e4 % 72.68/11.69 | | % 72.68/11.69 | | COMBINE_EQS: (5), (7) imply: % 72.68/11.69 | | (8) all_4_8 = e4 % 72.68/11.69 | | % 72.68/11.69 | | REDUCE: (2), (8) imply: % 72.68/11.69 | | (9) $false % 72.68/11.69 | | % 72.68/11.69 | | CLOSE: (9) is inconsistent. % 72.68/11.69 | | % 72.68/11.69 | Case 2: % 72.68/11.69 | | % 72.68/11.69 | | (10) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 72.68/11.69 | | % 72.68/11.69 | | REF_CLOSE: (1), (4), (5), (6), (10) are inconsistent by sub-proof #175. % 72.68/11.69 | | % 72.68/11.69 | End of split % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #175 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) ~ (all_4_8 = e2) % 72.68/11.69 (2) ~ (all_4_8 = e0) % 72.68/11.69 (3) all_6_16 = all_4_8 % 72.68/11.69 (4) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 72.68/11.69 (5) ~ (all_4_8 = e3) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | BETA: splitting (4) gives: % 72.68/11.69 | % 72.68/11.69 | Case 1: % 72.68/11.69 | | % 72.68/11.69 | | (6) all_6_16 = e2 % 72.68/11.69 | | % 72.68/11.69 | | REF_CLOSE: (1), (3), (6) are inconsistent by sub-proof #178. % 72.68/11.69 | | % 72.68/11.69 | Case 2: % 72.68/11.69 | | % 72.68/11.69 | | (7) all_6_16 = e3 | all_6_16 = e0 % 72.68/11.69 | | % 72.68/11.69 | | REF_CLOSE: (2), (3), (5), (7) are inconsistent by sub-proof #176. % 72.68/11.69 | | % 72.68/11.69 | End of split % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #176 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_6_16 = e3 | all_6_16 = e0 % 72.68/11.69 (2) all_6_16 = all_4_8 % 72.68/11.69 (3) ~ (all_4_8 = e3) % 72.68/11.69 (4) ~ (all_4_8 = e0) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | BETA: splitting (1) gives: % 72.68/11.69 | % 72.68/11.69 | Case 1: % 72.68/11.69 | | % 72.68/11.69 | | (5) all_6_16 = e3 % 72.68/11.69 | | % 72.68/11.69 | | COMBINE_EQS: (2), (5) imply: % 72.68/11.69 | | (6) all_4_8 = e3 % 72.68/11.69 | | % 72.68/11.69 | | SIMP: (6) implies: % 72.68/11.69 | | (7) all_4_8 = e3 % 72.68/11.69 | | % 72.68/11.69 | | REDUCE: (3), (7) imply: % 72.68/11.69 | | (8) $false % 72.68/11.69 | | % 72.68/11.69 | | CLOSE: (8) is inconsistent. % 72.68/11.69 | | % 72.68/11.69 | Case 2: % 72.68/11.69 | | % 72.68/11.69 | | (9) all_6_16 = e0 % 72.68/11.69 | | % 72.68/11.69 | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #177. % 72.68/11.69 | | % 72.68/11.69 | End of split % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #177 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_6_16 = all_4_8 % 72.68/11.69 (2) all_6_16 = e0 % 72.68/11.69 (3) ~ (all_4_8 = e0) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | COMBINE_EQS: (1), (2) imply: % 72.68/11.69 | (4) all_4_8 = e0 % 72.68/11.69 | % 72.68/11.69 | SIMP: (4) implies: % 72.68/11.69 | (5) all_4_8 = e0 % 72.68/11.69 | % 72.68/11.69 | REDUCE: (3), (5) imply: % 72.68/11.69 | (6) $false % 72.68/11.69 | % 72.68/11.69 | CLOSE: (6) is inconsistent. % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #178 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_6_16 = all_4_8 % 72.68/11.69 (2) all_6_16 = e2 % 72.68/11.69 (3) ~ (all_4_8 = e2) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | COMBINE_EQS: (1), (2) imply: % 72.68/11.69 | (4) all_4_8 = e2 % 72.68/11.69 | % 72.68/11.69 | SIMP: (4) implies: % 72.68/11.69 | (5) all_4_8 = e2 % 72.68/11.69 | % 72.68/11.69 | REDUCE: (3), (5) imply: % 72.68/11.69 | (6) $false % 72.68/11.69 | % 72.68/11.69 | CLOSE: (6) is inconsistent. % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #179 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_10_6 = e3 % 72.68/11.69 (2) all_10_6 = e2 % 72.68/11.69 (3) ~ (e3 = e2) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | COMBINE_EQS: (1), (2) imply: % 72.68/11.69 | (4) e3 = e2 % 72.68/11.69 | % 72.68/11.69 | SIMP: (4) implies: % 72.68/11.69 | (5) e3 = e2 % 72.68/11.69 | % 72.68/11.69 | REDUCE: (3), (5) imply: % 72.68/11.69 | (6) $false % 72.68/11.69 | % 72.68/11.69 | CLOSE: (6) is inconsistent. % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #180 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_10_0 = e2 % 72.68/11.69 (2) all_10_0 = e0 % 72.68/11.69 (3) ~ (e2 = e0) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | COMBINE_EQS: (1), (2) imply: % 72.68/11.69 | (4) e2 = e0 % 72.68/11.69 | % 72.68/11.69 | SIMP: (4) implies: % 72.68/11.69 | (5) e2 = e0 % 72.68/11.69 | % 72.68/11.69 | REDUCE: (3), (5) imply: % 72.68/11.69 | (6) $false % 72.68/11.69 | % 72.68/11.69 | CLOSE: (6) is inconsistent. % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #181 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_6_8 = all_4_16 % 72.68/11.69 (2) all_6_8 = e1 % 72.68/11.69 (3) ~ (all_4_16 = e1) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | COMBINE_EQS: (1), (2) imply: % 72.68/11.69 | (4) all_4_16 = e1 % 72.68/11.69 | % 72.68/11.69 | SIMP: (4) implies: % 72.68/11.69 | (5) all_4_16 = e1 % 72.68/11.69 | % 72.68/11.69 | REDUCE: (3), (5) imply: % 72.68/11.69 | (6) $false % 72.68/11.69 | % 72.68/11.69 | CLOSE: (6) is inconsistent. % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #182 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_6_17 = all_4_13 % 72.68/11.69 (2) all_6_17 = e1 % 72.68/11.69 (3) ~ (all_4_13 = e1) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | COMBINE_EQS: (1), (2) imply: % 72.68/11.69 | (4) all_4_13 = e1 % 72.68/11.69 | % 72.68/11.69 | SIMP: (4) implies: % 72.68/11.69 | (5) all_4_13 = e1 % 72.68/11.69 | % 72.68/11.69 | REDUCE: (3), (5) imply: % 72.68/11.69 | (6) $false % 72.68/11.69 | % 72.68/11.69 | CLOSE: (6) is inconsistent. % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #183 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_6_7 = all_4_11 % 72.68/11.69 (2) all_6_7 = e1 % 72.68/11.69 (3) ~ (all_4_11 = e1) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | COMBINE_EQS: (1), (2) imply: % 72.68/11.69 | (4) all_4_11 = e1 % 72.68/11.69 | % 72.68/11.69 | SIMP: (4) implies: % 72.68/11.69 | (5) all_4_11 = e1 % 72.68/11.69 | % 72.68/11.69 | REDUCE: (3), (5) imply: % 72.68/11.69 | (6) $false % 72.68/11.69 | % 72.68/11.69 | CLOSE: (6) is inconsistent. % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #184 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_6_9 = e3 | all_6_9 = e0 % 72.68/11.69 (2) all_6_9 = all_4_21 % 72.68/11.69 (3) ~ (all_4_21 = e3) % 72.68/11.69 (4) ~ (all_4_21 = e0) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | BETA: splitting (1) gives: % 72.68/11.69 | % 72.68/11.69 | Case 1: % 72.68/11.69 | | % 72.68/11.69 | | (5) all_6_9 = e3 % 72.68/11.69 | | % 72.68/11.69 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #185. % 72.68/11.69 | | % 72.68/11.69 | Case 2: % 72.68/11.69 | | % 72.68/11.69 | | (6) all_6_9 = e0 % 72.68/11.69 | | % 72.68/11.69 | | COMBINE_EQS: (2), (6) imply: % 72.68/11.69 | | (7) all_4_21 = e0 % 72.68/11.69 | | % 72.68/11.69 | | SIMP: (7) implies: % 72.68/11.69 | | (8) all_4_21 = e0 % 72.68/11.69 | | % 72.68/11.69 | | REDUCE: (4), (8) imply: % 72.68/11.69 | | (9) $false % 72.68/11.69 | | % 72.68/11.69 | | CLOSE: (9) is inconsistent. % 72.68/11.69 | | % 72.68/11.69 | End of split % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #185 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_6_9 = all_4_21 % 72.68/11.69 (2) all_6_9 = e3 % 72.68/11.69 (3) ~ (all_4_21 = e3) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | COMBINE_EQS: (1), (2) imply: % 72.68/11.69 | (4) all_4_21 = e3 % 72.68/11.69 | % 72.68/11.69 | SIMP: (4) implies: % 72.68/11.69 | (5) all_4_21 = e3 % 72.68/11.69 | % 72.68/11.69 | REDUCE: (3), (5) imply: % 72.68/11.69 | (6) $false % 72.68/11.69 | % 72.68/11.69 | CLOSE: (6) is inconsistent. % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #186 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_10_10 = all_4_16 % 72.68/11.69 (2) all_10_10 = e0 % 72.68/11.69 (3) ~ (all_4_16 = e0) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | COMBINE_EQS: (1), (2) imply: % 72.68/11.69 | (4) all_4_16 = e0 % 72.68/11.69 | % 72.68/11.69 | SIMP: (4) implies: % 72.68/11.69 | (5) all_4_16 = e0 % 72.68/11.69 | % 72.68/11.69 | REDUCE: (3), (5) imply: % 72.68/11.69 | (6) $false % 72.68/11.69 | % 72.68/11.69 | CLOSE: (6) is inconsistent. % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #187 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_6_1 = e3 | all_6_1 = e0 % 72.68/11.69 (2) all_6_1 = all_4_5 % 72.68/11.69 (3) ~ (all_4_5 = e3) % 72.68/11.69 (4) ~ (all_4_5 = e0) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | BETA: splitting (1) gives: % 72.68/11.69 | % 72.68/11.69 | Case 1: % 72.68/11.69 | | % 72.68/11.69 | | (5) all_6_1 = e3 % 72.68/11.69 | | % 72.68/11.69 | | COMBINE_EQS: (2), (5) imply: % 72.68/11.69 | | (6) all_4_5 = e3 % 72.68/11.69 | | % 72.68/11.69 | | SIMP: (6) implies: % 72.68/11.69 | | (7) all_4_5 = e3 % 72.68/11.69 | | % 72.68/11.69 | | REDUCE: (3), (7) imply: % 72.68/11.69 | | (8) $false % 72.68/11.69 | | % 72.68/11.69 | | CLOSE: (8) is inconsistent. % 72.68/11.69 | | % 72.68/11.69 | Case 2: % 72.68/11.69 | | % 72.68/11.69 | | (9) all_6_1 = e0 % 72.68/11.69 | | % 72.68/11.69 | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #188. % 72.68/11.69 | | % 72.68/11.69 | End of split % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #188 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_6_1 = all_4_5 % 72.68/11.69 (2) all_6_1 = e0 % 72.68/11.69 (3) ~ (all_4_5 = e0) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | COMBINE_EQS: (1), (2) imply: % 72.68/11.69 | (4) all_4_5 = e0 % 72.68/11.69 | % 72.68/11.69 | SIMP: (4) implies: % 72.68/11.69 | (5) all_4_5 = e0 % 72.68/11.69 | % 72.68/11.69 | REDUCE: (3), (5) imply: % 72.68/11.69 | (6) $false % 72.68/11.69 | % 72.68/11.69 | CLOSE: (6) is inconsistent. % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #189 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_10_19 = e2 | all_10_24 = e2 % 72.68/11.69 (2) ~ (e2 = e1) % 72.68/11.69 (3) all_10_19 = e1 % 72.68/11.69 (4) ~ (e3 = e2) % 72.68/11.69 (5) all_10_24 = e3 % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | BETA: splitting (1) gives: % 72.68/11.69 | % 72.68/11.69 | Case 1: % 72.68/11.69 | | % 72.68/11.69 | | (6) all_10_19 = e2 % 72.68/11.69 | | % 72.68/11.69 | | REF_CLOSE: (2), (3), (6) are inconsistent by sub-proof #194. % 72.68/11.69 | | % 72.68/11.69 | Case 2: % 72.68/11.69 | | % 72.68/11.69 | | (7) all_10_24 = e2 % 72.68/11.69 | | % 72.68/11.69 | | COMBINE_EQS: (5), (7) imply: % 72.68/11.69 | | (8) e3 = e2 % 72.68/11.69 | | % 72.68/11.69 | | SIMP: (8) implies: % 72.68/11.69 | | (9) e3 = e2 % 72.68/11.69 | | % 72.68/11.69 | | REDUCE: (4), (9) imply: % 72.68/11.69 | | (10) $false % 72.68/11.69 | | % 72.68/11.69 | | CLOSE: (10) is inconsistent. % 72.68/11.69 | | % 72.68/11.69 | End of split % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #190 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_10_18 = e2 % 72.68/11.69 (2) all_10_18 = e0 % 72.68/11.69 (3) ~ (e2 = e0) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | COMBINE_EQS: (1), (2) imply: % 72.68/11.69 | (4) e2 = e0 % 72.68/11.69 | % 72.68/11.69 | SIMP: (4) implies: % 72.68/11.69 | (5) e2 = e0 % 72.68/11.69 | % 72.68/11.69 | REDUCE: (3), (5) imply: % 72.68/11.69 | (6) $false % 72.68/11.69 | % 72.68/11.69 | CLOSE: (6) is inconsistent. % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #191 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_10_15 = e3 % 72.68/11.69 (2) all_10_15 = e0 % 72.68/11.69 (3) ~ (e3 = e0) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | COMBINE_EQS: (1), (2) imply: % 72.68/11.69 | (4) e3 = e0 % 72.68/11.69 | % 72.68/11.69 | SIMP: (4) implies: % 72.68/11.69 | (5) e3 = e0 % 72.68/11.69 | % 72.68/11.69 | REDUCE: (3), (5) imply: % 72.68/11.69 | (6) $false % 72.68/11.69 | % 72.68/11.69 | CLOSE: (6) is inconsistent. % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #192 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_10_14 = e2 | all_10_15 = e2 | all_10_19 = e2 % 72.68/11.69 (2) all_10_14 = e3 % 72.68/11.69 (3) ~ (e2 = e1) % 72.68/11.69 (4) ~ (e2 = e0) % 72.68/11.69 (5) all_10_19 = e1 % 72.68/11.69 (6) ~ (e3 = e2) % 72.68/11.69 (7) all_10_15 = e0 % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | BETA: splitting (1) gives: % 72.68/11.69 | % 72.68/11.69 | Case 1: % 72.68/11.69 | | % 72.68/11.69 | | (8) all_10_14 = e2 % 72.68/11.69 | | % 72.68/11.69 | | COMBINE_EQS: (2), (8) imply: % 72.68/11.69 | | (9) e3 = e2 % 72.68/11.69 | | % 72.68/11.69 | | SIMP: (9) implies: % 72.68/11.69 | | (10) e3 = e2 % 72.68/11.69 | | % 72.68/11.69 | | REDUCE: (6), (10) imply: % 72.68/11.69 | | (11) $false % 72.68/11.69 | | % 72.68/11.69 | | CLOSE: (11) is inconsistent. % 72.68/11.69 | | % 72.68/11.69 | Case 2: % 72.68/11.69 | | % 72.68/11.69 | | (12) all_10_15 = e2 | all_10_19 = e2 % 72.68/11.69 | | % 72.68/11.69 | | REF_CLOSE: (3), (4), (5), (7), (12) are inconsistent by sub-proof #193. % 72.68/11.69 | | % 72.68/11.69 | End of split % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #193 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) ~ (e2 = e1) % 72.68/11.69 (2) ~ (e2 = e0) % 72.68/11.69 (3) all_10_15 = e2 | all_10_19 = e2 % 72.68/11.69 (4) all_10_19 = e1 % 72.68/11.69 (5) all_10_15 = e0 % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | BETA: splitting (3) gives: % 72.68/11.69 | % 72.68/11.69 | Case 1: % 72.68/11.69 | | % 72.68/11.69 | | (6) all_10_15 = e2 % 72.68/11.69 | | % 72.68/11.69 | | REF_CLOSE: (2), (5), (6) are inconsistent by sub-proof #232. % 72.68/11.69 | | % 72.68/11.69 | Case 2: % 72.68/11.69 | | % 72.68/11.69 | | (7) all_10_19 = e2 % 72.68/11.69 | | % 72.68/11.69 | | REF_CLOSE: (1), (4), (7) are inconsistent by sub-proof #194. % 72.68/11.69 | | % 72.68/11.69 | End of split % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #194 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_10_19 = e2 % 72.68/11.69 (2) all_10_19 = e1 % 72.68/11.69 (3) ~ (e2 = e1) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | COMBINE_EQS: (1), (2) imply: % 72.68/11.69 | (4) e2 = e1 % 72.68/11.69 | % 72.68/11.69 | SIMP: (4) implies: % 72.68/11.69 | (5) e2 = e1 % 72.68/11.69 | % 72.68/11.69 | REDUCE: (3), (5) imply: % 72.68/11.69 | (6) $false % 72.68/11.69 | % 72.68/11.69 | CLOSE: (6) is inconsistent. % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #195 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_6_17 = e3 | all_6_17 = e0 % 72.68/11.69 (2) all_6_17 = all_4_13 % 72.68/11.69 (3) ~ (all_4_13 = e3) % 72.68/11.69 (4) ~ (all_4_13 = e0) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | BETA: splitting (1) gives: % 72.68/11.69 | % 72.68/11.69 | Case 1: % 72.68/11.69 | | % 72.68/11.69 | | (5) all_6_17 = e3 % 72.68/11.69 | | % 72.68/11.69 | | COMBINE_EQS: (2), (5) imply: % 72.68/11.69 | | (6) all_4_13 = e3 % 72.68/11.69 | | % 72.68/11.69 | | REDUCE: (3), (6) imply: % 72.68/11.69 | | (7) $false % 72.68/11.69 | | % 72.68/11.69 | | CLOSE: (7) is inconsistent. % 72.68/11.69 | | % 72.68/11.69 | Case 2: % 72.68/11.69 | | % 72.68/11.69 | | (8) all_6_17 = e0 % 72.68/11.69 | | % 72.68/11.69 | | COMBINE_EQS: (2), (8) imply: % 72.68/11.69 | | (9) all_4_13 = e0 % 72.68/11.69 | | % 72.68/11.69 | | REDUCE: (4), (9) imply: % 72.68/11.69 | | (10) $false % 72.68/11.69 | | % 72.68/11.69 | | CLOSE: (10) is inconsistent. % 72.68/11.69 | | % 72.68/11.69 | End of split % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #196 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) ~ (all_4_15 = e0) % 72.68/11.69 (2) ~ (all_4_15 = e3) % 72.68/11.69 (3) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e0 % 72.68/11.69 (4) all_6_3 = all_4_15 % 72.68/11.69 (5) ~ (all_4_15 = e2) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | BETA: splitting (3) gives: % 72.68/11.69 | % 72.68/11.69 | Case 1: % 72.68/11.69 | | % 72.68/11.69 | | (6) all_6_3 = e2 % 72.68/11.69 | | % 72.68/11.69 | | COMBINE_EQS: (4), (6) imply: % 72.68/11.69 | | (7) all_4_15 = e2 % 72.68/11.69 | | % 72.68/11.69 | | REDUCE: (5), (7) imply: % 72.68/11.69 | | (8) $false % 72.68/11.69 | | % 72.68/11.69 | | CLOSE: (8) is inconsistent. % 72.68/11.69 | | % 72.68/11.69 | Case 2: % 72.68/11.69 | | % 72.68/11.69 | | (9) all_6_3 = e3 | all_6_3 = e0 % 72.68/11.69 | | % 72.68/11.69 | | REF_CLOSE: (1), (2), (4), (9) are inconsistent by sub-proof #197. % 72.68/11.69 | | % 72.68/11.69 | End of split % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #197 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_6_3 = e3 | all_6_3 = e0 % 72.68/11.69 (2) all_6_3 = all_4_15 % 72.68/11.69 (3) ~ (all_4_15 = e3) % 72.68/11.69 (4) ~ (all_4_15 = e0) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | BETA: splitting (1) gives: % 72.68/11.69 | % 72.68/11.69 | Case 1: % 72.68/11.69 | | % 72.68/11.69 | | (5) all_6_3 = e3 % 72.68/11.69 | | % 72.68/11.69 | | COMBINE_EQS: (2), (5) imply: % 72.68/11.69 | | (6) all_4_15 = e3 % 72.68/11.69 | | % 72.68/11.69 | | REDUCE: (3), (6) imply: % 72.68/11.69 | | (7) $false % 72.68/11.69 | | % 72.68/11.69 | | CLOSE: (7) is inconsistent. % 72.68/11.69 | | % 72.68/11.69 | Case 2: % 72.68/11.69 | | % 72.68/11.69 | | (8) all_6_3 = e0 % 72.68/11.69 | | % 72.68/11.69 | | COMBINE_EQS: (2), (8) imply: % 72.68/11.69 | | (9) all_4_15 = e0 % 72.68/11.69 | | % 72.68/11.69 | | REDUCE: (4), (9) imply: % 72.68/11.69 | | (10) $false % 72.68/11.69 | | % 72.68/11.69 | | CLOSE: (10) is inconsistent. % 72.68/11.69 | | % 72.68/11.69 | End of split % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #198 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) ~ (all_4_16 = e0) % 72.68/11.69 (2) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0 % 72.68/11.69 (3) all_6_8 = all_4_16 % 72.68/11.69 (4) ~ (all_4_16 = e4) % 72.68/11.69 (5) ~ (all_4_16 = e3) % 72.68/11.69 (6) ~ (all_4_16 = e2) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | BETA: splitting (2) gives: % 72.68/11.69 | % 72.68/11.69 | Case 1: % 72.68/11.69 | | % 72.68/11.69 | | (7) all_6_8 = e4 % 72.68/11.69 | | % 72.68/11.69 | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #201. % 72.68/11.69 | | % 72.68/11.69 | Case 2: % 72.68/11.69 | | % 72.68/11.69 | | (8) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0 % 72.68/11.69 | | % 72.68/11.69 | | REF_CLOSE: (1), (3), (5), (6), (8) are inconsistent by sub-proof #199. % 72.68/11.69 | | % 72.68/11.69 | End of split % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #199 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) ~ (all_4_16 = e0) % 72.68/11.69 (2) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e0 % 72.68/11.69 (3) all_6_8 = all_4_16 % 72.68/11.69 (4) ~ (all_4_16 = e3) % 72.68/11.69 (5) ~ (all_4_16 = e2) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | BETA: splitting (2) gives: % 72.68/11.69 | % 72.68/11.69 | Case 1: % 72.68/11.69 | | % 72.68/11.69 | | (6) all_6_8 = e2 % 72.68/11.69 | | % 72.68/11.69 | | COMBINE_EQS: (3), (6) imply: % 72.68/11.69 | | (7) all_4_16 = e2 % 72.68/11.69 | | % 72.68/11.69 | | SIMP: (7) implies: % 72.68/11.69 | | (8) all_4_16 = e2 % 72.68/11.69 | | % 72.68/11.69 | | REDUCE: (5), (8) imply: % 72.68/11.69 | | (9) $false % 72.68/11.69 | | % 72.68/11.69 | | CLOSE: (9) is inconsistent. % 72.68/11.69 | | % 72.68/11.69 | Case 2: % 72.68/11.69 | | % 72.68/11.69 | | (10) all_6_8 = e3 | all_6_8 = e0 % 72.68/11.69 | | % 72.68/11.69 | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #200. % 72.68/11.69 | | % 72.68/11.69 | End of split % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #200 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_6_8 = e3 | all_6_8 = e0 % 72.68/11.69 (2) all_6_8 = all_4_16 % 72.68/11.69 (3) ~ (all_4_16 = e3) % 72.68/11.69 (4) ~ (all_4_16 = e0) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | BETA: splitting (1) gives: % 72.68/11.69 | % 72.68/11.69 | Case 1: % 72.68/11.69 | | % 72.68/11.69 | | (5) all_6_8 = e3 % 72.68/11.69 | | % 72.68/11.69 | | COMBINE_EQS: (2), (5) imply: % 72.68/11.69 | | (6) all_4_16 = e3 % 72.68/11.69 | | % 72.68/11.69 | | REDUCE: (3), (6) imply: % 72.68/11.69 | | (7) $false % 72.68/11.69 | | % 72.68/11.69 | | CLOSE: (7) is inconsistent. % 72.68/11.69 | | % 72.68/11.69 | Case 2: % 72.68/11.69 | | % 72.68/11.69 | | (8) all_6_8 = e0 % 72.68/11.69 | | % 72.68/11.69 | | COMBINE_EQS: (2), (8) imply: % 72.68/11.69 | | (9) all_4_16 = e0 % 72.68/11.69 | | % 72.68/11.69 | | REDUCE: (4), (9) imply: % 72.68/11.69 | | (10) $false % 72.68/11.69 | | % 72.68/11.69 | | CLOSE: (10) is inconsistent. % 72.68/11.69 | | % 72.68/11.69 | End of split % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #201 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_6_8 = all_4_16 % 72.68/11.69 (2) all_6_8 = e4 % 72.68/11.69 (3) ~ (all_4_16 = e4) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | COMBINE_EQS: (1), (2) imply: % 72.68/11.69 | (4) all_4_16 = e4 % 72.68/11.69 | % 72.68/11.69 | SIMP: (4) implies: % 72.68/11.69 | (5) all_4_16 = e4 % 72.68/11.69 | % 72.68/11.69 | REDUCE: (3), (5) imply: % 72.68/11.69 | (6) $false % 72.68/11.69 | % 72.68/11.69 | CLOSE: (6) is inconsistent. % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #202 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_6_6 = all_4_6 % 72.68/11.69 (2) all_10_14 = all_4_13 % 72.68/11.69 (3) ~ (all_4_8 = e2) % 72.68/11.69 (4) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | all_6_16 % 72.68/11.69 = e0 % 72.68/11.69 (5) ~ (all_4_6 = e0) % 72.68/11.69 (6) ~ (e4 = e2) % 72.68/11.69 (7) ~ (e4 = e0) % 72.68/11.69 (8) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e0 % 72.68/11.69 (9) all_10_22 = all_4_14 % 72.68/11.69 (10) all_10_5 = e0 % 72.68/11.69 (11) ~ (all_4_8 = e1) % 72.68/11.69 (12) ~ (all_4_8 = e0) % 72.68/11.69 (13) ~ (e4 = e1) % 72.68/11.69 (14) all_6_16 = all_4_8 % 72.68/11.69 (15) all_10_8 = e2 % 72.68/11.69 (16) all_10_4 = e4 | all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 | % 72.68/11.69 all_10_22 = e4 % 72.68/11.69 (17) ~ (all_4_14 = e4) % 72.68/11.69 (18) ~ (all_4_6 = all_4_8) % 72.68/11.69 (19) all_10_4 = e1 % 72.68/11.69 (20) ~ (all_4_6 = e2) % 72.68/11.69 (21) ~ (all_4_8 = all_4_13) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | BETA: splitting (16) gives: % 72.68/11.69 | % 72.68/11.69 | Case 1: % 72.68/11.69 | | % 72.68/11.69 | | (22) all_10_4 = e4 % 72.68/11.69 | | % 72.68/11.69 | | COMBINE_EQS: (19), (22) imply: % 72.68/11.69 | | (23) e4 = e1 % 72.68/11.69 | | % 72.68/11.69 | | SIMP: (23) implies: % 72.68/11.69 | | (24) e4 = e1 % 72.68/11.69 | | % 72.68/11.69 | | REDUCE: (13), (24) imply: % 72.68/11.69 | | (25) $false % 72.68/11.69 | | % 72.68/11.69 | | CLOSE: (25) is inconsistent. % 72.68/11.69 | | % 72.68/11.69 | Case 2: % 72.68/11.69 | | % 72.68/11.69 | | (26) all_10_5 = e4 | all_10_8 = e4 | all_10_14 = e4 | all_10_22 = e4 % 72.68/11.69 | | % 72.68/11.69 | | BETA: splitting (26) gives: % 72.68/11.69 | | % 72.68/11.69 | | Case 1: % 72.68/11.69 | | | % 72.68/11.69 | | | (27) all_10_5 = e4 % 72.68/11.69 | | | % 72.68/11.69 | | | COMBINE_EQS: (10), (27) imply: % 72.68/11.69 | | | (28) e4 = e0 % 72.68/11.69 | | | % 72.68/11.69 | | | REDUCE: (7), (28) imply: % 72.68/11.69 | | | (29) $false % 72.68/11.69 | | | % 72.68/11.69 | | | CLOSE: (29) is inconsistent. % 72.68/11.69 | | | % 72.68/11.69 | | Case 2: % 72.68/11.69 | | | % 72.68/11.69 | | | (30) all_10_8 = e4 | all_10_14 = e4 | all_10_22 = e4 % 72.68/11.69 | | | % 72.68/11.69 | | | BETA: splitting (30) gives: % 72.68/11.69 | | | % 72.68/11.69 | | | Case 1: % 72.68/11.69 | | | | % 72.68/11.69 | | | | (31) all_10_8 = e4 % 72.68/11.69 | | | | % 72.68/11.69 | | | | REF_CLOSE: (6), (15), (31) are inconsistent by sub-proof #203. % 72.68/11.69 | | | | % 72.68/11.69 | | | Case 2: % 72.68/11.69 | | | | % 72.68/11.69 | | | | (32) all_10_14 = e4 | all_10_22 = e4 % 72.68/11.69 | | | | % 72.68/11.69 | | | | BETA: splitting (32) gives: % 72.68/11.69 | | | | % 72.68/11.69 | | | | Case 1: % 72.68/11.69 | | | | | % 72.68/11.69 | | | | | (33) all_10_14 = e4 % 72.68/11.69 | | | | | % 72.68/11.69 | | | | | COMBINE_EQS: (2), (33) imply: % 72.68/11.69 | | | | | (34) all_4_13 = e4 % 72.68/11.69 | | | | | % 72.68/11.69 | | | | | SIMP: (34) implies: % 72.68/11.69 | | | | | (35) all_4_13 = e4 % 72.68/11.69 | | | | | % 72.68/11.69 | | | | | REDUCE: (21), (35) imply: % 72.68/11.69 | | | | | (36) ~ (all_4_8 = e4) % 72.68/11.69 | | | | | % 72.68/11.69 | | | | | BETA: splitting (4) gives: % 72.68/11.69 | | | | | % 72.68/11.69 | | | | | Case 1: % 72.68/11.69 | | | | | | % 72.68/11.69 | | | | | | (37) all_6_16 = e1 % 72.68/11.69 | | | | | | % 72.68/11.69 | | | | | | COMBINE_EQS: (14), (37) imply: % 72.68/11.69 | | | | | | (38) all_4_8 = e1 % 72.68/11.69 | | | | | | % 72.68/11.69 | | | | | | REDUCE: (11), (38) imply: % 72.68/11.69 | | | | | | (39) $false % 72.68/11.69 | | | | | | % 72.68/11.69 | | | | | | CLOSE: (39) is inconsistent. % 72.68/11.69 | | | | | | % 72.68/11.69 | | | | | Case 2: % 72.68/11.69 | | | | | | % 72.68/11.69 | | | | | | (40) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = % 72.68/11.69 | | | | | | e0 % 72.68/11.69 | | | | | | % 72.68/11.69 | | | | | | BETA: splitting (40) gives: % 72.68/11.69 | | | | | | % 72.68/11.69 | | | | | | Case 1: % 72.68/11.69 | | | | | | | % 72.68/11.69 | | | | | | | (41) all_6_16 = e4 % 72.68/11.69 | | | | | | | % 72.68/11.69 | | | | | | | COMBINE_EQS: (14), (41) imply: % 72.68/11.69 | | | | | | | (42) all_4_8 = e4 % 72.68/11.69 | | | | | | | % 72.68/11.69 | | | | | | | REDUCE: (36), (42) imply: % 72.68/11.69 | | | | | | | (43) $false % 72.68/11.69 | | | | | | | % 72.68/11.69 | | | | | | | CLOSE: (43) is inconsistent. % 72.68/11.69 | | | | | | | % 72.68/11.69 | | | | | | Case 2: % 72.68/11.69 | | | | | | | % 72.68/11.69 | | | | | | | (44) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 72.68/11.69 | | | | | | | % 72.68/11.69 | | | | | | | REF_CLOSE: (1), (3), (5), (8), (12), (14), (18), (20), (44) are % 72.68/11.69 | | | | | | | inconsistent by sub-proof #235. % 72.68/11.69 | | | | | | | % 72.68/11.69 | | | | | | End of split % 72.68/11.69 | | | | | | % 72.68/11.69 | | | | | End of split % 72.68/11.69 | | | | | % 72.68/11.69 | | | | Case 2: % 72.68/11.69 | | | | | % 72.68/11.69 | | | | | (45) all_10_22 = e4 % 72.68/11.69 | | | | | % 72.68/11.69 | | | | | COMBINE_EQS: (9), (45) imply: % 72.68/11.69 | | | | | (46) all_4_14 = e4 % 72.68/11.69 | | | | | % 72.68/11.69 | | | | | SIMP: (46) implies: % 72.68/11.69 | | | | | (47) all_4_14 = e4 % 72.68/11.69 | | | | | % 72.68/11.69 | | | | | REDUCE: (17), (47) imply: % 72.68/11.69 | | | | | (48) $false % 72.68/11.69 | | | | | % 72.68/11.69 | | | | | CLOSE: (48) is inconsistent. % 72.68/11.69 | | | | | % 72.68/11.69 | | | | End of split % 72.68/11.69 | | | | % 72.68/11.69 | | | End of split % 72.68/11.69 | | | % 72.68/11.69 | | End of split % 72.68/11.69 | | % 72.68/11.69 | End of split % 72.68/11.69 | % 72.68/11.69 End of proof % 72.68/11.69 % 72.68/11.69 Sub-proof #203 shows that the following formulas are inconsistent: % 72.68/11.69 ---------------------------------------------------------------- % 72.68/11.69 (1) all_10_8 = e4 % 72.68/11.69 (2) all_10_8 = e2 % 72.68/11.69 (3) ~ (e4 = e2) % 72.68/11.69 % 72.68/11.69 Begin of proof % 72.68/11.69 | % 72.68/11.69 | COMBINE_EQS: (1), (2) imply: % 72.68/11.70 | (4) e4 = e2 % 72.68/11.70 | % 72.68/11.70 | SIMP: (4) implies: % 72.68/11.70 | (5) e4 = e2 % 72.68/11.70 | % 72.68/11.70 | REDUCE: (3), (5) imply: % 72.68/11.70 | (6) $false % 72.68/11.70 | % 72.68/11.70 | CLOSE: (6) is inconsistent. % 72.68/11.70 | % 72.68/11.70 End of proof % 72.68/11.70 % 72.68/11.70 Sub-proof #204 shows that the following formulas are inconsistent: % 72.68/11.70 ---------------------------------------------------------------- % 72.68/11.70 (1) all_8_41 = e1 % 72.68/11.70 (2) ~ (e1 = e0) % 72.68/11.70 (3) ~ (e4 = e0) % 72.68/11.70 (4) (all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = all_8_66)) | % 72.68/11.70 (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = all_8_67)) | % 72.68/11.70 (all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = all_8_68)) % 72.68/11.70 (5) all_8_43 = e4 % 72.68/11.70 (6) all_8_38 = e3 % 72.68/11.70 % 72.68/11.70 Begin of proof % 72.68/11.70 | % 72.68/11.70 | BETA: splitting (4) gives: % 72.68/11.70 | % 72.68/11.70 | Case 1: % 72.68/11.70 | | % 72.68/11.70 | | (7) all_8_39 = e0 & ~ (all_8_38 = e3) & ~ (all_8_53 = all_8_66) % 72.68/11.70 | | % 72.68/11.70 | | ALPHA: (7) implies: % 72.68/11.70 | | (8) ~ (all_8_38 = e3) % 72.68/11.70 | | % 72.68/11.70 | | REDUCE: (6), (8) imply: % 72.68/11.70 | | (9) $false % 72.68/11.70 | | % 72.68/11.70 | | CLOSE: (9) is inconsistent. % 72.68/11.70 | | % 72.68/11.70 | Case 2: % 72.68/11.70 | | % 72.68/11.70 | | (10) (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = all_8_67)) | % 72.68/11.70 | | (all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = all_8_68)) % 72.68/11.70 | | % 72.68/11.70 | | REF_CLOSE: (1), (2), (3), (5), (10) are inconsistent by sub-proof #205. % 72.68/11.70 | | % 72.68/11.70 | End of split % 72.68/11.70 | % 72.68/11.70 End of proof % 72.68/11.70 % 72.68/11.70 Sub-proof #205 shows that the following formulas are inconsistent: % 72.68/11.70 ---------------------------------------------------------------- % 72.68/11.70 (1) all_8_41 = e1 % 72.68/11.70 (2) ~ (e1 = e0) % 72.68/11.70 (3) ~ (e4 = e0) % 72.68/11.70 (4) (all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = all_8_67)) | % 72.68/11.70 (all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = all_8_68)) % 72.68/11.70 (5) all_8_43 = e4 % 72.68/11.70 % 72.68/11.70 Begin of proof % 72.68/11.70 | % 72.68/11.70 | BETA: splitting (4) gives: % 72.68/11.70 | % 72.68/11.70 | Case 1: % 72.68/11.70 | | % 72.68/11.70 | | (6) all_8_41 = e0 & ~ (all_8_40 = e2) & ~ (all_8_58 = all_8_67) % 72.68/11.70 | | % 72.68/11.70 | | ALPHA: (6) implies: % 72.68/11.70 | | (7) all_8_41 = e0 % 72.68/11.70 | | % 72.68/11.70 | | COMBINE_EQS: (1), (7) imply: % 72.68/11.70 | | (8) e1 = e0 % 72.68/11.70 | | % 72.68/11.70 | | SIMP: (8) implies: % 72.68/11.70 | | (9) e1 = e0 % 72.68/11.70 | | % 72.68/11.70 | | REDUCE: (2), (9) imply: % 72.68/11.70 | | (10) $false % 72.68/11.70 | | % 72.68/11.70 | | CLOSE: (10) is inconsistent. % 72.68/11.70 | | % 72.68/11.70 | Case 2: % 72.68/11.70 | | % 72.68/11.70 | | (11) all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = all_8_68) % 72.68/11.70 | | % 72.68/11.70 | | REF_CLOSE: (3), (5), (11) are inconsistent by sub-proof #206. % 72.68/11.70 | | % 72.68/11.70 | End of split % 72.68/11.70 | % 72.68/11.70 End of proof % 72.68/11.70 % 72.68/11.70 Sub-proof #206 shows that the following formulas are inconsistent: % 72.68/11.70 ---------------------------------------------------------------- % 72.68/11.70 (1) all_8_43 = e0 & ~ (all_8_42 = e1) & ~ (all_8_63 = all_8_68) % 72.68/11.70 (2) all_8_43 = e4 % 72.68/11.70 (3) ~ (e4 = e0) % 72.68/11.70 % 72.68/11.70 Begin of proof % 72.68/11.70 | % 72.68/11.70 | ALPHA: (1) implies: % 72.68/11.70 | (4) all_8_43 = e0 % 72.68/11.70 | % 72.68/11.70 | COMBINE_EQS: (2), (4) imply: % 72.68/11.70 | (5) e4 = e0 % 72.68/11.70 | % 72.68/11.70 | SIMP: (5) implies: % 72.68/11.70 | (6) e4 = e0 % 72.68/11.70 | % 72.68/11.70 | REDUCE: (3), (6) imply: % 72.87/11.70 | (7) $false % 72.87/11.70 | % 72.87/11.70 | CLOSE: (7) is inconsistent. % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #207 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) all_8_30 = e1 & ~ (all_8_29 = e3) & ~ (all_8_52 = all_8_61) % 72.87/11.70 (2) all_8_30 = e2 % 72.87/11.70 (3) ~ (e2 = e1) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | ALPHA: (1) implies: % 72.87/11.70 | (4) all_8_30 = e1 % 72.87/11.70 | % 72.87/11.70 | COMBINE_EQS: (2), (4) imply: % 72.87/11.70 | (5) e2 = e1 % 72.87/11.70 | % 72.87/11.70 | REDUCE: (3), (5) imply: % 72.87/11.70 | (6) $false % 72.87/11.70 | % 72.87/11.70 | CLOSE: (6) is inconsistent. % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #208 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) all_8_28 = e1 & ~ (all_8_27 = e4) & ~ (all_8_47 = all_8_60) % 72.87/11.70 (2) all_8_28 = e3 % 72.87/11.70 (3) ~ (e3 = e1) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | ALPHA: (1) implies: % 72.87/11.70 | (4) all_8_28 = e1 % 72.87/11.70 | % 72.87/11.70 | COMBINE_EQS: (2), (4) imply: % 72.87/11.70 | (5) e3 = e1 % 72.87/11.70 | % 72.87/11.70 | REDUCE: (3), (5) imply: % 72.87/11.70 | (6) $false % 72.87/11.70 | % 72.87/11.70 | CLOSE: (6) is inconsistent. % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #209 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) all_8_24 = e2 & ~ (all_8_23 = e1) & ~ (all_8_57 = all_8_62) % 72.87/11.70 (2) all_8_24 = e3 % 72.87/11.70 (3) ~ (e3 = e2) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | ALPHA: (1) implies: % 72.87/11.70 | (4) all_8_24 = e2 % 72.87/11.70 | % 72.87/11.70 | COMBINE_EQS: (2), (4) imply: % 72.87/11.70 | (5) e3 = e2 % 72.87/11.70 | % 72.87/11.70 | REDUCE: (3), (5) imply: % 72.87/11.70 | (6) $false % 72.87/11.70 | % 72.87/11.70 | CLOSE: (6) is inconsistent. % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #210 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) (all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 = all_8_55)) | % 72.87/11.70 (all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = all_8_56)) % 72.87/11.70 (2) all_8_19 = e4 % 72.87/11.70 (3) ~ (e4 = e2) % 72.87/11.70 (4) all_8_21 = e4 % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | BETA: splitting (1) gives: % 72.87/11.70 | % 72.87/11.70 | Case 1: % 72.87/11.70 | | % 72.87/11.70 | | (5) all_8_19 = e2 & ~ (all_8_18 = e4) & ~ (all_8_46 = all_8_55) % 72.87/11.70 | | % 72.87/11.70 | | ALPHA: (5) implies: % 72.87/11.70 | | (6) all_8_19 = e2 % 72.87/11.70 | | % 72.87/11.70 | | COMBINE_EQS: (2), (6) imply: % 72.87/11.70 | | (7) e4 = e2 % 72.87/11.70 | | % 72.87/11.70 | | REDUCE: (3), (7) imply: % 72.87/11.70 | | (8) $false % 72.87/11.70 | | % 72.87/11.70 | | CLOSE: (8) is inconsistent. % 72.87/11.70 | | % 72.87/11.70 | Case 2: % 72.87/11.70 | | % 72.87/11.70 | | (9) all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = all_8_56) % 72.87/11.70 | | % 72.87/11.70 | | REF_CLOSE: (3), (4), (9) are inconsistent by sub-proof #211. % 72.87/11.70 | | % 72.87/11.70 | End of split % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #211 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) all_8_21 = e2 & ~ (all_8_20 = e3) & ~ (all_8_51 = all_8_56) % 72.87/11.70 (2) all_8_21 = e4 % 72.87/11.70 (3) ~ (e4 = e2) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | ALPHA: (1) implies: % 72.87/11.70 | (4) all_8_21 = e2 % 72.87/11.70 | % 72.87/11.70 | COMBINE_EQS: (2), (4) imply: % 72.87/11.70 | (5) e4 = e2 % 72.87/11.70 | % 72.87/11.70 | REDUCE: (3), (5) imply: % 72.87/11.70 | (6) $false % 72.87/11.70 | % 72.87/11.70 | CLOSE: (6) is inconsistent. % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #212 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) all_8_17 = e3 & ~ (all_8_16 = e0) & ~ (all_8_53 = all_8_66) % 72.87/11.70 (2) all_8_17 = e0 % 72.87/11.70 (3) ~ (e3 = e0) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | ALPHA: (1) implies: % 72.87/11.70 | (4) all_8_17 = e3 % 72.87/11.70 | % 72.87/11.70 | COMBINE_EQS: (2), (4) imply: % 72.87/11.70 | (5) e3 = e0 % 72.87/11.70 | % 72.87/11.70 | SIMP: (5) implies: % 72.87/11.70 | (6) e3 = e0 % 72.87/11.70 | % 72.87/11.70 | REDUCE: (3), (6) imply: % 72.87/11.70 | (7) $false % 72.87/11.70 | % 72.87/11.70 | CLOSE: (7) is inconsistent. % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #213 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) all_8_15 = e3 & ~ (all_8_14 = e1) & ~ (all_8_52 = all_8_61) % 72.87/11.70 (2) all_8_15 = e0 % 72.87/11.70 (3) ~ (e3 = e0) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | ALPHA: (1) implies: % 72.87/11.70 | (4) all_8_15 = e3 % 72.87/11.70 | % 72.87/11.70 | COMBINE_EQS: (2), (4) imply: % 72.87/11.70 | (5) e3 = e0 % 72.87/11.70 | % 72.87/11.70 | SIMP: (5) implies: % 72.87/11.70 | (6) e3 = e0 % 72.87/11.70 | % 72.87/11.70 | REDUCE: (3), (6) imply: % 72.87/11.70 | (7) $false % 72.87/11.70 | % 72.87/11.70 | CLOSE: (7) is inconsistent. % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #214 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) all_8_6 = e4 & ~ (all_8_5 = e1) & ~ (all_8_47 = all_8_60) % 72.87/11.70 (2) all_8_6 = e1 % 72.87/11.70 (3) ~ (e4 = e1) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | ALPHA: (1) implies: % 72.87/11.70 | (4) all_8_6 = e4 % 72.87/11.70 | % 72.87/11.70 | COMBINE_EQS: (2), (4) imply: % 72.87/11.70 | (5) e4 = e1 % 72.87/11.70 | % 72.87/11.70 | SIMP: (5) implies: % 72.87/11.70 | (6) e4 = e1 % 72.87/11.70 | % 72.87/11.70 | REDUCE: (3), (6) imply: % 72.87/11.70 | (7) $false % 72.87/11.70 | % 72.87/11.70 | CLOSE: (7) is inconsistent. % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #215 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) all_8_4 = e4 & ~ (all_8_3 = e2) & ~ (all_8_46 = all_8_55) % 72.87/11.70 (2) all_8_4 = e3 % 72.87/11.70 (3) ~ (e4 = e3) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | ALPHA: (1) implies: % 72.87/11.70 | (4) all_8_4 = e4 % 72.87/11.70 | % 72.87/11.70 | COMBINE_EQS: (2), (4) imply: % 72.87/11.70 | (5) e4 = e3 % 72.87/11.70 | % 72.87/11.70 | SIMP: (5) implies: % 72.87/11.70 | (6) e4 = e3 % 72.87/11.70 | % 72.87/11.70 | REDUCE: (3), (6) imply: % 72.87/11.70 | (7) $false % 72.87/11.70 | % 72.87/11.70 | CLOSE: (7) is inconsistent. % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #216 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) all_8_2 = e4 & ~ (all_8_1 = e3) & ~ (all_8_45 = all_8_50) % 72.87/11.70 (2) all_8_2 = e1 % 72.87/11.70 (3) ~ (e4 = e1) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | ALPHA: (1) implies: % 72.87/11.70 | (4) all_8_2 = e4 % 72.87/11.70 | % 72.87/11.70 | COMBINE_EQS: (2), (4) imply: % 72.87/11.70 | (5) e4 = e1 % 72.87/11.70 | % 72.87/11.70 | SIMP: (5) implies: % 72.87/11.70 | (6) e4 = e1 % 72.87/11.70 | % 72.87/11.70 | REDUCE: (3), (6) imply: % 72.87/11.70 | (7) $false % 72.87/11.70 | % 72.87/11.70 | CLOSE: (7) is inconsistent. % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #217 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) all_10_19 = e3 % 72.87/11.70 (2) all_10_19 = e1 % 72.87/11.70 (3) ~ (e3 = e1) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | COMBINE_EQS: (1), (2) imply: % 72.87/11.70 | (4) e3 = e1 % 72.87/11.70 | % 72.87/11.70 | SIMP: (4) implies: % 72.87/11.70 | (5) e3 = e1 % 72.87/11.70 | % 72.87/11.70 | REDUCE: (3), (5) imply: % 72.87/11.70 | (6) $false % 72.87/11.70 | % 72.87/11.70 | CLOSE: (6) is inconsistent. % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #218 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) all_6_3 = all_4_15 % 72.87/11.70 (2) all_6_3 = e4 % 72.87/11.70 (3) ~ (all_4_15 = e4) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | COMBINE_EQS: (1), (2) imply: % 72.87/11.70 | (4) all_4_15 = e4 % 72.87/11.70 | % 72.87/11.70 | SIMP: (4) implies: % 72.87/11.70 | (5) all_4_15 = e4 % 72.87/11.70 | % 72.87/11.70 | REDUCE: (3), (5) imply: % 72.87/11.70 | (6) $false % 72.87/11.70 | % 72.87/11.70 | CLOSE: (6) is inconsistent. % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #219 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) all_6_3 = all_4_15 % 72.87/11.70 (2) all_6_3 = e1 % 72.87/11.70 (3) ~ (all_4_15 = e1) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | COMBINE_EQS: (1), (2) imply: % 72.87/11.70 | (4) all_4_15 = e1 % 72.87/11.70 | % 72.87/11.70 | SIMP: (4) implies: % 72.87/11.70 | (5) all_4_15 = e1 % 72.87/11.70 | % 72.87/11.70 | REDUCE: (3), (5) imply: % 72.87/11.70 | (6) $false % 72.87/11.70 | % 72.87/11.70 | CLOSE: (6) is inconsistent. % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #220 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) all_10_13 = all_4_8 % 72.87/11.70 (2) all_10_13 = e3 % 72.87/11.70 (3) ~ (all_4_8 = e3) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | COMBINE_EQS: (1), (2) imply: % 72.87/11.70 | (4) all_4_8 = e3 % 72.87/11.70 | % 72.87/11.70 | SIMP: (4) implies: % 72.87/11.70 | (5) all_4_8 = e3 % 72.87/11.70 | % 72.87/11.70 | REDUCE: (3), (5) imply: % 72.87/11.70 | (6) $false % 72.87/11.70 | % 72.87/11.70 | CLOSE: (6) is inconsistent. % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #221 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) all_6_1 = all_4_5 % 72.87/11.70 (2) all_6_1 = e4 % 72.87/11.70 (3) ~ (all_4_5 = e4) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | COMBINE_EQS: (1), (2) imply: % 72.87/11.70 | (4) all_4_5 = e4 % 72.87/11.70 | % 72.87/11.70 | SIMP: (4) implies: % 72.87/11.70 | (5) all_4_5 = e4 % 72.87/11.70 | % 72.87/11.70 | REDUCE: (3), (5) imply: % 72.87/11.70 | (6) $false % 72.87/11.70 | % 72.87/11.70 | CLOSE: (6) is inconsistent. % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #222 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) all_6_24 = all_4_24 % 72.87/11.70 (2) all_6_24 = e2 % 72.87/11.70 (3) ~ (all_4_24 = e2) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | COMBINE_EQS: (1), (2) imply: % 72.87/11.70 | (4) all_4_24 = e2 % 72.87/11.70 | % 72.87/11.70 | SIMP: (4) implies: % 72.87/11.70 | (5) all_4_24 = e2 % 72.87/11.70 | % 72.87/11.70 | REDUCE: (3), (5) imply: % 72.87/11.70 | (6) $false % 72.87/11.70 | % 72.87/11.70 | CLOSE: (6) is inconsistent. % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #223 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) all_6_1 = all_4_5 % 72.87/11.70 (2) all_6_1 = e1 % 72.87/11.70 (3) ~ (all_4_5 = e1) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | COMBINE_EQS: (1), (2) imply: % 72.87/11.70 | (4) all_4_5 = e1 % 72.87/11.70 | % 72.87/11.70 | SIMP: (4) implies: % 72.87/11.70 | (5) all_4_5 = e1 % 72.87/11.70 | % 72.87/11.70 | REDUCE: (3), (5) imply: % 72.87/11.70 | (6) $false % 72.87/11.70 | % 72.87/11.70 | CLOSE: (6) is inconsistent. % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #224 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) all_10_12 = all_4_3 % 72.87/11.70 (2) all_10_12 = e3 % 72.87/11.70 (3) ~ (all_4_3 = e3) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | COMBINE_EQS: (1), (2) imply: % 72.87/11.70 | (4) all_4_3 = e3 % 72.87/11.70 | % 72.87/11.70 | SIMP: (4) implies: % 72.87/11.70 | (5) all_4_3 = e3 % 72.87/11.70 | % 72.87/11.70 | REDUCE: (3), (5) imply: % 72.87/11.70 | (6) $false % 72.87/11.70 | % 72.87/11.70 | CLOSE: (6) is inconsistent. % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #225 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) all_6_24 = all_4_24 % 72.87/11.70 (2) all_6_24 = e4 % 72.87/11.70 (3) ~ (all_4_24 = e4) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | COMBINE_EQS: (1), (2) imply: % 72.87/11.70 | (4) all_4_24 = e4 % 72.87/11.70 | % 72.87/11.70 | SIMP: (4) implies: % 72.87/11.70 | (5) all_4_24 = e4 % 72.87/11.70 | % 72.87/11.70 | REDUCE: (3), (5) imply: % 72.87/11.70 | (6) $false % 72.87/11.70 | % 72.87/11.70 | CLOSE: (6) is inconsistent. % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #226 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) all_6_24 = all_4_24 % 72.87/11.70 (2) all_6_24 = e1 % 72.87/11.70 (3) ~ (all_4_24 = e1) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | COMBINE_EQS: (1), (2) imply: % 72.87/11.70 | (4) all_4_24 = e1 % 72.87/11.70 | % 72.87/11.70 | SIMP: (4) implies: % 72.87/11.70 | (5) all_4_24 = e1 % 72.87/11.70 | % 72.87/11.70 | REDUCE: (3), (5) imply: % 72.87/11.70 | (6) $false % 72.87/11.70 | % 72.87/11.70 | CLOSE: (6) is inconsistent. % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #227 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) all_10_2 = all_4_1 % 72.87/11.70 (2) all_10_2 = e0 % 72.87/11.70 (3) ~ (all_4_1 = e0) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | COMBINE_EQS: (1), (2) imply: % 72.87/11.70 | (4) all_4_1 = e0 % 72.87/11.70 | % 72.87/11.70 | SIMP: (4) implies: % 72.87/11.70 | (5) all_4_1 = e0 % 72.87/11.70 | % 72.87/11.70 | REDUCE: (3), (5) imply: % 72.87/11.70 | (6) $false % 72.87/11.70 | % 72.87/11.70 | CLOSE: (6) is inconsistent. % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #228 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) ~ (all_4_0 = e3) % 72.87/11.70 (2) all_6_0 = all_4_0 % 72.87/11.70 (3) ~ (all_4_0 = e2) % 72.87/11.70 (4) all_6_0 = e3 | all_6_0 = e2 | all_6_0 = e0 % 72.87/11.70 (5) ~ (all_4_0 = e0) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | BETA: splitting (4) gives: % 72.87/11.70 | % 72.87/11.70 | Case 1: % 72.87/11.70 | | % 72.87/11.70 | | (6) all_6_0 = e2 % 72.87/11.70 | | % 72.87/11.70 | | COMBINE_EQS: (2), (6) imply: % 72.87/11.70 | | (7) all_4_0 = e2 % 72.87/11.70 | | % 72.87/11.70 | | SIMP: (7) implies: % 72.87/11.70 | | (8) all_4_0 = e2 % 72.87/11.70 | | % 72.87/11.70 | | REDUCE: (3), (8) imply: % 72.87/11.70 | | (9) $false % 72.87/11.70 | | % 72.87/11.70 | | CLOSE: (9) is inconsistent. % 72.87/11.70 | | % 72.87/11.70 | Case 2: % 72.87/11.70 | | % 72.87/11.70 | | (10) all_6_0 = e3 | all_6_0 = e0 % 72.87/11.70 | | % 72.87/11.70 | | BETA: splitting (10) gives: % 72.87/11.70 | | % 72.87/11.70 | | Case 1: % 72.87/11.70 | | | % 72.87/11.70 | | | (11) all_6_0 = e3 % 72.87/11.70 | | | % 72.87/11.70 | | | COMBINE_EQS: (2), (11) imply: % 72.87/11.70 | | | (12) all_4_0 = e3 % 72.87/11.70 | | | % 72.87/11.70 | | | SIMP: (12) implies: % 72.87/11.70 | | | (13) all_4_0 = e3 % 72.87/11.70 | | | % 72.87/11.70 | | | REDUCE: (1), (13) imply: % 72.87/11.70 | | | (14) $false % 72.87/11.70 | | | % 72.87/11.70 | | | CLOSE: (14) is inconsistent. % 72.87/11.70 | | | % 72.87/11.70 | | Case 2: % 72.87/11.70 | | | % 72.87/11.70 | | | (15) all_6_0 = e0 % 72.87/11.70 | | | % 72.87/11.70 | | | COMBINE_EQS: (2), (15) imply: % 72.87/11.70 | | | (16) all_4_0 = e0 % 72.87/11.70 | | | % 72.87/11.70 | | | SIMP: (16) implies: % 72.87/11.70 | | | (17) all_4_0 = e0 % 72.87/11.70 | | | % 72.87/11.70 | | | REDUCE: (5), (17) imply: % 72.87/11.70 | | | (18) $false % 72.87/11.70 | | | % 72.87/11.70 | | | CLOSE: (18) is inconsistent. % 72.87/11.70 | | | % 72.87/11.70 | | End of split % 72.87/11.70 | | % 72.87/11.70 | End of split % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #229 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) all_6_15 = e3 | all_6_15 = e0 % 72.87/11.70 (2) all_6_15 = all_4_3 % 72.87/11.70 (3) ~ (all_4_3 = e3) % 72.87/11.70 (4) ~ (all_4_3 = e0) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | BETA: splitting (1) gives: % 72.87/11.70 | % 72.87/11.70 | Case 1: % 72.87/11.70 | | % 72.87/11.70 | | (5) all_6_15 = e3 % 72.87/11.70 | | % 72.87/11.70 | | COMBINE_EQS: (2), (5) imply: % 72.87/11.70 | | (6) all_4_3 = e3 % 72.87/11.70 | | % 72.87/11.70 | | REDUCE: (3), (6) imply: % 72.87/11.70 | | (7) $false % 72.87/11.70 | | % 72.87/11.70 | | CLOSE: (7) is inconsistent. % 72.87/11.70 | | % 72.87/11.70 | Case 2: % 72.87/11.70 | | % 72.87/11.70 | | (8) all_6_15 = e0 % 72.87/11.70 | | % 72.87/11.70 | | COMBINE_EQS: (2), (8) imply: % 72.87/11.70 | | (9) all_4_3 = e0 % 72.87/11.70 | | % 72.87/11.70 | | REDUCE: (4), (9) imply: % 72.87/11.70 | | (10) $false % 72.87/11.70 | | % 72.87/11.70 | | CLOSE: (10) is inconsistent. % 72.87/11.70 | | % 72.87/11.70 | End of split % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #230 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0 % 72.87/11.70 (2) all_10_10 = e2 | all_10_11 = e2 | all_10_15 = e2 | all_10_23 = e2 % 72.87/11.70 (3) ~ (all_4_17 = e2) % 72.87/11.70 (4) all_10_11 = all_4_17 % 72.87/11.70 (5) ~ (e2 = e1) % 72.87/11.70 (6) ~ (e2 = e0) % 72.87/11.70 (7) all_10_23 = all_4_19 % 72.87/11.70 (8) all_10_10 = e1 % 72.87/11.70 (9) ~ (all_4_19 = e2) % 72.87/11.70 (10) all_6_13 = all_4_17 % 72.87/11.70 (11) ~ (all_4_17 = e3) % 72.87/11.70 (12) ~ (all_4_17 = e0) % 72.87/11.70 (13) all_10_15 = e0 % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | BETA: splitting (2) gives: % 72.87/11.70 | % 72.87/11.70 | Case 1: % 72.87/11.70 | | % 72.87/11.70 | | (14) all_10_10 = e2 % 72.87/11.70 | | % 72.87/11.70 | | COMBINE_EQS: (8), (14) imply: % 72.87/11.70 | | (15) e2 = e1 % 72.87/11.70 | | % 72.87/11.70 | | REDUCE: (5), (15) imply: % 72.87/11.70 | | (16) $false % 72.87/11.70 | | % 72.87/11.70 | | CLOSE: (16) is inconsistent. % 72.87/11.70 | | % 72.87/11.70 | Case 2: % 72.87/11.70 | | % 72.87/11.70 | | (17) all_10_11 = e2 | all_10_15 = e2 | all_10_23 = e2 % 72.87/11.70 | | % 72.87/11.70 | | BETA: splitting (1) gives: % 72.87/11.70 | | % 72.87/11.70 | | Case 1: % 72.87/11.70 | | | % 72.87/11.70 | | | (18) all_6_13 = e4 % 72.87/11.70 | | | % 72.87/11.70 | | | COMBINE_EQS: (10), (18) imply: % 72.87/11.70 | | | (19) all_4_17 = e4 % 72.87/11.70 | | | % 72.87/11.70 | | | COMBINE_EQS: (4), (19) imply: % 72.87/11.70 | | | (20) all_10_11 = e4 % 72.87/11.70 | | | % 72.87/11.70 | | | REDUCE: (3), (19) imply: % 72.87/11.70 | | | (21) ~ (e4 = e2) % 72.87/11.70 | | | % 72.87/11.70 | | | BETA: splitting (17) gives: % 72.87/11.70 | | | % 72.87/11.70 | | | Case 1: % 72.87/11.70 | | | | % 72.87/11.70 | | | | (22) all_10_11 = e2 % 72.87/11.70 | | | | % 72.87/11.70 | | | | COMBINE_EQS: (20), (22) imply: % 72.87/11.70 | | | | (23) e4 = e2 % 72.87/11.70 | | | | % 72.87/11.70 | | | | SIMP: (23) implies: % 72.87/11.70 | | | | (24) e4 = e2 % 72.87/11.70 | | | | % 72.87/11.70 | | | | REDUCE: (21), (24) imply: % 72.87/11.70 | | | | (25) $false % 72.87/11.70 | | | | % 72.87/11.70 | | | | CLOSE: (25) is inconsistent. % 72.87/11.70 | | | | % 72.87/11.70 | | | Case 2: % 72.87/11.70 | | | | % 72.87/11.70 | | | | (26) all_10_15 = e2 | all_10_23 = e2 % 72.87/11.70 | | | | % 72.87/11.70 | | | | BETA: splitting (26) gives: % 72.87/11.70 | | | | % 72.87/11.70 | | | | Case 1: % 72.87/11.70 | | | | | % 72.87/11.70 | | | | | (27) all_10_15 = e2 % 72.87/11.70 | | | | | % 72.87/11.70 | | | | | REF_CLOSE: (6), (13), (27) are inconsistent by sub-proof #232. % 72.87/11.70 | | | | | % 72.87/11.70 | | | | Case 2: % 72.87/11.70 | | | | | % 72.87/11.70 | | | | | (28) all_10_23 = e2 % 72.87/11.70 | | | | | % 72.87/11.70 | | | | | COMBINE_EQS: (7), (28) imply: % 72.87/11.70 | | | | | (29) all_4_19 = e2 % 72.87/11.70 | | | | | % 72.87/11.70 | | | | | SIMP: (29) implies: % 72.87/11.70 | | | | | (30) all_4_19 = e2 % 72.87/11.70 | | | | | % 72.87/11.70 | | | | | REDUCE: (9), (30) imply: % 72.87/11.70 | | | | | (31) $false % 72.87/11.70 | | | | | % 72.87/11.70 | | | | | CLOSE: (31) is inconsistent. % 72.87/11.70 | | | | | % 72.87/11.70 | | | | End of split % 72.87/11.70 | | | | % 72.87/11.70 | | | End of split % 72.87/11.70 | | | % 72.87/11.70 | | Case 2: % 72.87/11.70 | | | % 72.87/11.70 | | | (32) all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0 % 72.87/11.70 | | | % 72.87/11.70 | | | REF_CLOSE: (3), (10), (11), (12), (32) are inconsistent by sub-proof #231. % 72.87/11.70 | | | % 72.87/11.70 | | End of split % 72.87/11.70 | | % 72.87/11.70 | End of split % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #231 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) ~ (all_4_17 = e2) % 72.87/11.70 (2) all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e0 % 72.87/11.70 (3) all_6_13 = all_4_17 % 72.87/11.70 (4) ~ (all_4_17 = e3) % 72.87/11.70 (5) ~ (all_4_17 = e0) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | BETA: splitting (2) gives: % 72.87/11.70 | % 72.87/11.70 | Case 1: % 72.87/11.70 | | % 72.87/11.70 | | (6) all_6_13 = e2 % 72.87/11.70 | | % 72.87/11.70 | | COMBINE_EQS: (3), (6) imply: % 72.87/11.70 | | (7) all_4_17 = e2 % 72.87/11.70 | | % 72.87/11.70 | | REDUCE: (1), (7) imply: % 72.87/11.70 | | (8) $false % 72.87/11.70 | | % 72.87/11.70 | | CLOSE: (8) is inconsistent. % 72.87/11.70 | | % 72.87/11.70 | Case 2: % 72.87/11.70 | | % 72.87/11.70 | | (9) all_6_13 = e3 | all_6_13 = e0 % 72.87/11.70 | | % 72.87/11.70 | | BETA: splitting (9) gives: % 72.87/11.70 | | % 72.87/11.70 | | Case 1: % 72.87/11.70 | | | % 72.87/11.70 | | | (10) all_6_13 = e3 % 72.87/11.70 | | | % 72.87/11.70 | | | COMBINE_EQS: (3), (10) imply: % 72.87/11.70 | | | (11) all_4_17 = e3 % 72.87/11.70 | | | % 72.87/11.70 | | | REDUCE: (4), (11) imply: % 72.87/11.70 | | | (12) $false % 72.87/11.70 | | | % 72.87/11.70 | | | CLOSE: (12) is inconsistent. % 72.87/11.70 | | | % 72.87/11.70 | | Case 2: % 72.87/11.70 | | | % 72.87/11.70 | | | (13) all_6_13 = e0 % 72.87/11.70 | | | % 72.87/11.70 | | | COMBINE_EQS: (3), (13) imply: % 72.87/11.70 | | | (14) all_4_17 = e0 % 72.87/11.70 | | | % 72.87/11.70 | | | REDUCE: (5), (14) imply: % 72.87/11.70 | | | (15) $false % 72.87/11.70 | | | % 72.87/11.70 | | | CLOSE: (15) is inconsistent. % 72.87/11.70 | | | % 72.87/11.70 | | End of split % 72.87/11.70 | | % 72.87/11.70 | End of split % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #232 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) all_10_15 = e2 % 72.87/11.70 (2) all_10_15 = e0 % 72.87/11.70 (3) ~ (e2 = e0) % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | COMBINE_EQS: (1), (2) imply: % 72.87/11.70 | (4) e2 = e0 % 72.87/11.70 | % 72.87/11.70 | SIMP: (4) implies: % 72.87/11.70 | (5) e2 = e0 % 72.87/11.70 | % 72.87/11.70 | REDUCE: (3), (5) imply: % 72.87/11.70 | (6) $false % 72.87/11.70 | % 72.87/11.70 | CLOSE: (6) is inconsistent. % 72.87/11.70 | % 72.87/11.70 End of proof % 72.87/11.70 % 72.87/11.70 Sub-proof #233 shows that the following formulas are inconsistent: % 72.87/11.70 ---------------------------------------------------------------- % 72.87/11.70 (1) ~ (all_4_17 = e1) % 72.87/11.70 (2) all_10_11 = all_4_17 % 72.87/11.70 (3) all_10_8 = e1 | all_10_11 = e1 | all_10_18 = e1 % 72.87/11.70 (4) ~ (e2 = e1) % 72.87/11.70 (5) ~ (all_4_22 = e1) % 72.87/11.70 (6) all_10_18 = all_4_22 % 72.87/11.70 (7) all_10_8 = e2 % 72.87/11.70 % 72.87/11.70 Begin of proof % 72.87/11.70 | % 72.87/11.70 | BETA: splitting (3) gives: % 72.87/11.70 | % 72.87/11.70 | Case 1: % 72.87/11.70 | | % 72.87/11.70 | | (8) all_10_8 = e1 % 72.87/11.70 | | % 72.87/11.70 | | COMBINE_EQS: (7), (8) imply: % 72.87/11.70 | | (9) e2 = e1 % 72.87/11.70 | | % 72.87/11.70 | | REDUCE: (4), (9) imply: % 72.87/11.70 | | (10) $false % 72.87/11.70 | | % 72.87/11.70 | | CLOSE: (10) is inconsistent. % 72.87/11.70 | | % 72.87/11.70 | Case 2: % 72.87/11.70 | | % 72.87/11.70 | | (11) all_10_11 = e1 | all_10_18 = e1 % 72.87/11.70 | | % 72.87/11.70 | | BETA: splitting (11) gives: % 72.87/11.70 | | % 72.87/11.70 | | Case 1: % 72.87/11.70 | | | % 72.87/11.70 | | | (12) all_10_11 = e1 % 72.87/11.70 | | | % 72.87/11.70 | | | REF_CLOSE: (1), (2), (12) are inconsistent by sub-proof #234. % 72.87/11.70 | | | % 72.87/11.70 | | Case 2: % 72.87/11.70 | | | % 72.87/11.70 | | | (13) all_10_18 = e1 % 72.87/11.71 | | | % 72.87/11.71 | | | COMBINE_EQS: (6), (13) imply: % 72.87/11.71 | | | (14) all_4_22 = e1 % 72.87/11.71 | | | % 72.87/11.71 | | | REDUCE: (5), (14) imply: % 72.87/11.71 | | | (15) $false % 72.87/11.71 | | | % 72.87/11.71 | | | CLOSE: (15) is inconsistent. % 72.87/11.71 | | | % 72.87/11.71 | | End of split % 72.87/11.71 | | % 72.87/11.71 | End of split % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #234 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_10_11 = all_4_17 % 72.87/11.71 (2) all_10_11 = e1 % 72.87/11.71 (3) ~ (all_4_17 = e1) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | COMBINE_EQS: (1), (2) imply: % 72.87/11.71 | (4) all_4_17 = e1 % 72.87/11.71 | % 72.87/11.71 | SIMP: (4) implies: % 72.87/11.71 | (5) all_4_17 = e1 % 72.87/11.71 | % 72.87/11.71 | REDUCE: (3), (5) imply: % 72.87/11.71 | (6) $false % 72.87/11.71 | % 72.87/11.71 | CLOSE: (6) is inconsistent. % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #235 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_6_6 = all_4_6 % 72.87/11.71 (2) ~ (all_4_8 = e2) % 72.87/11.71 (3) ~ (all_4_6 = e0) % 72.87/11.71 (4) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e0 % 72.87/11.71 (5) ~ (all_4_8 = e0) % 72.87/11.71 (6) all_6_16 = all_4_8 % 72.87/11.71 (7) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e0 % 72.87/11.71 (8) ~ (all_4_6 = all_4_8) % 72.87/11.71 (9) ~ (all_4_6 = e2) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | BETA: splitting (7) gives: % 72.87/11.71 | % 72.87/11.71 | Case 1: % 72.87/11.71 | | % 72.87/11.71 | | (10) all_6_16 = e2 % 72.87/11.71 | | % 72.87/11.71 | | COMBINE_EQS: (6), (10) imply: % 72.87/11.71 | | (11) all_4_8 = e2 % 72.87/11.71 | | % 72.87/11.71 | | REDUCE: (2), (11) imply: % 72.87/11.71 | | (12) $false % 72.87/11.71 | | % 72.87/11.71 | | CLOSE: (12) is inconsistent. % 72.87/11.71 | | % 72.87/11.71 | Case 2: % 72.87/11.71 | | % 72.87/11.71 | | (13) all_6_16 = e3 | all_6_16 = e0 % 72.87/11.71 | | % 72.87/11.71 | | BETA: splitting (13) gives: % 72.87/11.71 | | % 72.87/11.71 | | Case 1: % 72.87/11.71 | | | % 72.87/11.71 | | | (14) all_6_16 = e3 % 72.87/11.71 | | | % 72.87/11.71 | | | COMBINE_EQS: (6), (14) imply: % 72.87/11.71 | | | (15) all_4_8 = e3 % 72.87/11.71 | | | % 72.87/11.71 | | | REDUCE: (8), (15) imply: % 72.87/11.71 | | | (16) ~ (all_4_6 = e3) % 72.87/11.71 | | | % 72.87/11.71 | | | REF_CLOSE: (1), (3), (4), (9), (16) are inconsistent by sub-proof #236. % 72.87/11.71 | | | % 72.87/11.71 | | Case 2: % 72.87/11.71 | | | % 72.87/11.71 | | | (17) all_6_16 = e0 % 72.87/11.71 | | | % 72.87/11.71 | | | COMBINE_EQS: (6), (17) imply: % 72.87/11.71 | | | (18) all_4_8 = e0 % 72.87/11.71 | | | % 72.87/11.71 | | | REDUCE: (5), (18) imply: % 72.87/11.71 | | | (19) $false % 72.87/11.71 | | | % 72.87/11.71 | | | CLOSE: (19) is inconsistent. % 72.87/11.71 | | | % 72.87/11.71 | | End of split % 72.87/11.71 | | % 72.87/11.71 | End of split % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #236 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_6_6 = all_4_6 % 72.87/11.71 (2) ~ (all_4_6 = e0) % 72.87/11.71 (3) all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e0 % 72.87/11.71 (4) ~ (all_4_6 = e3) % 72.87/11.71 (5) ~ (all_4_6 = e2) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | BETA: splitting (3) gives: % 72.87/11.71 | % 72.87/11.71 | Case 1: % 72.87/11.71 | | % 72.87/11.71 | | (6) all_6_6 = e2 % 72.87/11.71 | | % 72.87/11.71 | | REF_CLOSE: (1), (5), (6) are inconsistent by sub-proof #243. % 72.87/11.71 | | % 72.87/11.71 | Case 2: % 72.87/11.71 | | % 72.87/11.71 | | (7) all_6_6 = e3 | all_6_6 = e0 % 72.87/11.71 | | % 72.87/11.71 | | BETA: splitting (7) gives: % 72.87/11.71 | | % 72.87/11.71 | | Case 1: % 72.87/11.71 | | | % 72.87/11.71 | | | (8) all_6_6 = e3 % 72.87/11.71 | | | % 72.87/11.71 | | | COMBINE_EQS: (1), (8) imply: % 72.87/11.71 | | | (9) all_4_6 = e3 % 72.87/11.71 | | | % 72.87/11.71 | | | SIMP: (9) implies: % 72.87/11.71 | | | (10) all_4_6 = e3 % 72.87/11.71 | | | % 72.87/11.71 | | | REDUCE: (4), (10) imply: % 72.87/11.71 | | | (11) $false % 72.87/11.71 | | | % 72.87/11.71 | | | CLOSE: (11) is inconsistent. % 72.87/11.71 | | | % 72.87/11.71 | | Case 2: % 72.87/11.71 | | | % 72.87/11.71 | | | (12) all_6_6 = e0 % 72.87/11.71 | | | % 72.87/11.71 | | | REF_CLOSE: (1), (2), (12) are inconsistent by sub-proof #237. % 72.87/11.71 | | | % 72.87/11.71 | | End of split % 72.87/11.71 | | % 72.87/11.71 | End of split % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #237 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_6_6 = all_4_6 % 72.87/11.71 (2) all_6_6 = e0 % 72.87/11.71 (3) ~ (all_4_6 = e0) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | COMBINE_EQS: (1), (2) imply: % 72.87/11.71 | (4) all_4_6 = e0 % 72.87/11.71 | % 72.87/11.71 | SIMP: (4) implies: % 72.87/11.71 | (5) all_4_6 = e0 % 72.87/11.71 | % 72.87/11.71 | REDUCE: (3), (5) imply: % 72.87/11.71 | (6) $false % 72.87/11.71 | % 72.87/11.71 | CLOSE: (6) is inconsistent. % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #238 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_10_7 = e1 % 72.87/11.71 (2) ~ (e4 = e2) % 72.87/11.71 (3) all_10_21 = all_4_9 % 72.87/11.71 (4) ~ (e2 = e1) % 72.87/11.71 (5) all_10_7 = e2 | all_10_13 = e2 | all_10_21 = e2 % 72.87/11.71 (6) ~ (all_4_9 = e2) % 72.87/11.71 (7) all_10_13 = e4 % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | BETA: splitting (5) gives: % 72.87/11.71 | % 72.87/11.71 | Case 1: % 72.87/11.71 | | % 72.87/11.71 | | (8) all_10_7 = e2 % 72.87/11.71 | | % 72.87/11.71 | | REF_CLOSE: (1), (4), (8) are inconsistent by sub-proof #241. % 72.87/11.71 | | % 72.87/11.71 | Case 2: % 72.87/11.71 | | % 72.87/11.71 | | (9) all_10_13 = e2 | all_10_21 = e2 % 72.87/11.71 | | % 72.87/11.71 | | REF_CLOSE: (2), (3), (6), (7), (9) are inconsistent by sub-proof #239. % 72.87/11.71 | | % 72.87/11.71 | End of split % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #239 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) ~ (e4 = e2) % 72.87/11.71 (2) all_10_21 = all_4_9 % 72.87/11.71 (3) ~ (all_4_9 = e2) % 72.87/11.71 (4) all_10_13 = e4 % 72.87/11.71 (5) all_10_13 = e2 | all_10_21 = e2 % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | BETA: splitting (5) gives: % 72.87/11.71 | % 72.87/11.71 | Case 1: % 72.87/11.71 | | % 72.87/11.71 | | (6) all_10_13 = e2 % 72.87/11.71 | | % 72.87/11.71 | | REF_CLOSE: (1), (4), (6) are inconsistent by sub-proof #240. % 72.87/11.71 | | % 72.87/11.71 | Case 2: % 72.87/11.71 | | % 72.87/11.71 | | (7) all_10_21 = e2 % 72.87/11.71 | | % 72.87/11.71 | | COMBINE_EQS: (2), (7) imply: % 72.87/11.71 | | (8) all_4_9 = e2 % 72.87/11.71 | | % 72.87/11.71 | | SIMP: (8) implies: % 72.87/11.71 | | (9) all_4_9 = e2 % 72.87/11.71 | | % 72.87/11.71 | | REDUCE: (3), (9) imply: % 72.87/11.71 | | (10) $false % 72.87/11.71 | | % 72.87/11.71 | | CLOSE: (10) is inconsistent. % 72.87/11.71 | | % 72.87/11.71 | End of split % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #240 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_10_13 = e4 % 72.87/11.71 (2) all_10_13 = e2 % 72.87/11.71 (3) ~ (e4 = e2) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | COMBINE_EQS: (1), (2) imply: % 72.87/11.71 | (4) e4 = e2 % 72.87/11.71 | % 72.87/11.71 | SIMP: (4) implies: % 72.87/11.71 | (5) e4 = e2 % 72.87/11.71 | % 72.87/11.71 | REDUCE: (3), (5) imply: % 72.87/11.71 | (6) $false % 72.87/11.71 | % 72.87/11.71 | CLOSE: (6) is inconsistent. % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #241 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_10_7 = e2 % 72.87/11.71 (2) all_10_7 = e1 % 72.87/11.71 (3) ~ (e2 = e1) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | COMBINE_EQS: (1), (2) imply: % 72.87/11.71 | (4) e2 = e1 % 72.87/11.71 | % 72.87/11.71 | SIMP: (4) implies: % 72.87/11.71 | (5) e2 = e1 % 72.87/11.71 | % 72.87/11.71 | REDUCE: (3), (5) imply: % 72.87/11.71 | (6) $false % 72.87/11.71 | % 72.87/11.71 | CLOSE: (6) is inconsistent. % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #242 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_6_16 = all_4_8 % 72.87/11.71 (2) all_6_16 = e1 % 72.87/11.71 (3) ~ (all_4_8 = e1) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | COMBINE_EQS: (1), (2) imply: % 72.87/11.71 | (4) all_4_8 = e1 % 72.87/11.71 | % 72.87/11.71 | SIMP: (4) implies: % 72.87/11.71 | (5) all_4_8 = e1 % 72.87/11.71 | % 72.87/11.71 | REDUCE: (3), (5) imply: % 72.87/11.71 | (6) $false % 72.87/11.71 | % 72.87/11.71 | CLOSE: (6) is inconsistent. % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #243 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_6_6 = all_4_6 % 72.87/11.71 (2) all_6_6 = e2 % 72.87/11.71 (3) ~ (all_4_6 = e2) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | COMBINE_EQS: (1), (2) imply: % 72.87/11.71 | (4) all_4_6 = e2 % 72.87/11.71 | % 72.87/11.71 | SIMP: (4) implies: % 72.87/11.71 | (5) all_4_6 = e2 % 72.87/11.71 | % 72.87/11.71 | REDUCE: (3), (5) imply: % 72.87/11.71 | (6) $false % 72.87/11.71 | % 72.87/11.71 | CLOSE: (6) is inconsistent. % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #244 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_6_6 = all_4_6 % 72.87/11.71 (2) all_6_6 = e4 % 72.87/11.71 (3) ~ (all_4_6 = e4) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | COMBINE_EQS: (1), (2) imply: % 72.87/11.71 | (4) all_4_6 = e4 % 72.87/11.71 | % 72.87/11.71 | SIMP: (4) implies: % 72.87/11.71 | (5) all_4_6 = e4 % 72.87/11.71 | % 72.87/11.71 | REDUCE: (3), (5) imply: % 72.87/11.71 | (6) $false % 72.87/11.71 | % 72.87/11.71 | CLOSE: (6) is inconsistent. % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #245 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_10_6 = e3 % 72.87/11.71 (2) all_10_6 = e1 % 72.87/11.71 (3) ~ (e3 = e1) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | COMBINE_EQS: (1), (2) imply: % 72.87/11.71 | (4) e3 = e1 % 72.87/11.71 | % 72.87/11.71 | SIMP: (4) implies: % 72.87/11.71 | (5) e3 = e1 % 72.87/11.71 | % 72.87/11.71 | REDUCE: (3), (5) imply: % 72.87/11.71 | (6) $false % 72.87/11.71 | % 72.87/11.71 | CLOSE: (6) is inconsistent. % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #246 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_6_6 = all_4_6 % 72.87/11.71 (2) all_6_6 = e1 % 72.87/11.71 (3) ~ (all_4_6 = e1) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | COMBINE_EQS: (1), (2) imply: % 72.87/11.71 | (4) all_4_6 = e1 % 72.87/11.71 | % 72.87/11.71 | SIMP: (4) implies: % 72.87/11.71 | (5) all_4_6 = e1 % 72.87/11.71 | % 72.87/11.71 | REDUCE: (3), (5) imply: % 72.87/11.71 | (6) $false % 72.87/11.71 | % 72.87/11.71 | CLOSE: (6) is inconsistent. % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #247 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_6_13 = all_4_17 % 72.87/11.71 (2) all_6_13 = e1 % 72.87/11.71 (3) ~ (all_4_17 = e1) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | COMBINE_EQS: (1), (2) imply: % 72.87/11.71 | (4) all_4_17 = e1 % 72.87/11.71 | % 72.87/11.71 | SIMP: (4) implies: % 72.87/11.71 | (5) all_4_17 = e1 % 72.87/11.71 | % 72.87/11.71 | REDUCE: (3), (5) imply: % 72.87/11.71 | (6) $false % 72.87/11.71 | % 72.87/11.71 | CLOSE: (6) is inconsistent. % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #248 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_10_5 = all_4_11 % 72.87/11.71 (2) all_10_5 = e1 % 72.87/11.71 (3) ~ (all_4_11 = e1) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | COMBINE_EQS: (1), (2) imply: % 72.87/11.71 | (4) all_4_11 = e1 % 72.87/11.71 | % 72.87/11.71 | SIMP: (4) implies: % 72.87/11.71 | (5) all_4_11 = e1 % 72.87/11.71 | % 72.87/11.71 | REDUCE: (3), (5) imply: % 72.87/11.71 | (6) $false % 72.87/11.71 | % 72.87/11.71 | CLOSE: (6) is inconsistent. % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #249 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_10_2 = all_4_1 % 72.87/11.71 (2) all_10_2 = e1 % 72.87/11.71 (3) ~ (all_4_1 = e1) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | COMBINE_EQS: (1), (2) imply: % 72.87/11.71 | (4) all_4_1 = e1 % 72.87/11.71 | % 72.87/11.71 | SIMP: (4) implies: % 72.87/11.71 | (5) all_4_1 = e1 % 72.87/11.71 | % 72.87/11.71 | REDUCE: (3), (5) imply: % 72.87/11.71 | (6) $false % 72.87/11.71 | % 72.87/11.71 | CLOSE: (6) is inconsistent. % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #250 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_6_5 = all_4_1 % 72.87/11.71 (2) all_6_5 = e1 % 72.87/11.71 (3) ~ (all_4_1 = e1) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | COMBINE_EQS: (1), (2) imply: % 72.87/11.71 | (4) all_4_1 = e1 % 72.87/11.71 | % 72.87/11.71 | SIMP: (4) implies: % 72.87/11.71 | (5) all_4_1 = e1 % 72.87/11.71 | % 72.87/11.71 | REDUCE: (3), (5) imply: % 72.87/11.71 | (6) $false % 72.87/11.71 | % 72.87/11.71 | CLOSE: (6) is inconsistent. % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #251 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_10_4 = e0 | all_10_5 = e0 | all_10_8 = e0 | all_10_14 = e0 | % 72.87/11.71 all_10_22 = e0 % 72.87/11.71 (2) all_10_14 = all_4_13 % 72.87/11.71 (3) ~ (e1 = e0) % 72.87/11.71 (4) ~ (all_4_1 = all_4_11) % 72.87/11.71 (5) all_10_5 = all_4_11 % 72.87/11.71 (6) ~ (all_4_13 = e0) % 72.87/11.71 (7) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1 | all_6_5 = e0 % 72.87/11.71 (8) all_6_5 = all_4_1 % 72.87/11.71 (9) ~ (all_4_4 = e2) % 72.87/11.71 (10) all_10_22 = all_4_14 % 72.87/11.71 (11) ~ (e2 = e0) % 72.87/11.71 (12) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20 % 72.87/11.71 = e0 % 72.87/11.71 (13) ~ (all_4_4 = e0) % 72.87/11.71 (14) ~ (all_4_1 = e4) % 72.87/11.71 (15) ~ (all_4_4 = e4) % 72.87/11.71 (16) all_10_8 = e2 % 72.87/11.71 (17) ~ (all_4_4 = e3) % 72.87/11.71 (18) ~ (all_4_14 = e0) % 72.87/11.71 (19) ~ (all_4_1 = e3) % 72.87/11.71 (20) ~ (all_4_1 = e2) % 72.87/11.71 (21) all_6_20 = all_4_4 % 72.87/11.71 (22) all_10_4 = e1 % 72.87/11.71 (23) ~ (all_4_1 = all_4_4) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | BETA: splitting (1) gives: % 72.87/11.71 | % 72.87/11.71 | Case 1: % 72.87/11.71 | | % 72.87/11.71 | | (24) all_10_4 = e0 % 72.87/11.71 | | % 72.87/11.71 | | REF_CLOSE: (3), (22), (24) are inconsistent by sub-proof #264. % 72.87/11.71 | | % 72.87/11.71 | Case 2: % 72.87/11.71 | | % 72.87/11.71 | | (25) all_10_5 = e0 | all_10_8 = e0 | all_10_14 = e0 | all_10_22 = e0 % 72.87/11.71 | | % 72.87/11.71 | | BETA: splitting (25) gives: % 72.87/11.71 | | % 72.87/11.71 | | Case 1: % 72.87/11.71 | | | % 72.87/11.71 | | | (26) all_10_5 = e0 % 72.87/11.71 | | | % 72.87/11.71 | | | COMBINE_EQS: (5), (26) imply: % 72.87/11.71 | | | (27) all_4_11 = e0 % 72.87/11.71 | | | % 72.87/11.71 | | | SIMP: (27) implies: % 72.87/11.71 | | | (28) all_4_11 = e0 % 72.87/11.71 | | | % 72.87/11.71 | | | REDUCE: (4), (28) imply: % 72.87/11.71 | | | (29) ~ (all_4_1 = e0) % 72.87/11.71 | | | % 72.87/11.71 | | | REF_CLOSE: (7), (8), (9), (12), (13), (14), (15), (17), (19), (20), (21), % 72.87/11.71 | | | (23), (29) are inconsistent by sub-proof #255. % 72.87/11.71 | | | % 72.87/11.71 | | Case 2: % 72.87/11.71 | | | % 72.87/11.71 | | | (30) all_10_8 = e0 | all_10_14 = e0 | all_10_22 = e0 % 72.87/11.71 | | | % 72.87/11.71 | | | REF_CLOSE: (2), (6), (10), (11), (16), (18), (30) are inconsistent by % 72.87/11.71 | | | sub-proof #252. % 72.87/11.71 | | | % 72.87/11.71 | | End of split % 72.87/11.71 | | % 72.87/11.71 | End of split % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #252 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_10_14 = all_4_13 % 72.87/11.71 (2) ~ (all_4_13 = e0) % 72.87/11.71 (3) all_10_8 = e0 | all_10_14 = e0 | all_10_22 = e0 % 72.87/11.71 (4) all_10_22 = all_4_14 % 72.87/11.71 (5) ~ (e2 = e0) % 72.87/11.71 (6) all_10_8 = e2 % 72.87/11.71 (7) ~ (all_4_14 = e0) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | BETA: splitting (3) gives: % 72.87/11.71 | % 72.87/11.71 | Case 1: % 72.87/11.71 | | % 72.87/11.71 | | (8) all_10_8 = e0 % 72.87/11.71 | | % 72.87/11.71 | | COMBINE_EQS: (6), (8) imply: % 72.87/11.71 | | (9) e2 = e0 % 72.87/11.71 | | % 72.87/11.71 | | REDUCE: (5), (9) imply: % 72.87/11.71 | | (10) $false % 72.87/11.71 | | % 72.87/11.71 | | CLOSE: (10) is inconsistent. % 72.87/11.71 | | % 72.87/11.71 | Case 2: % 72.87/11.71 | | % 72.87/11.71 | | (11) all_10_14 = e0 | all_10_22 = e0 % 72.87/11.71 | | % 72.87/11.71 | | BETA: splitting (11) gives: % 72.87/11.71 | | % 72.87/11.71 | | Case 1: % 72.87/11.71 | | | % 72.87/11.71 | | | (12) all_10_14 = e0 % 72.87/11.71 | | | % 72.87/11.71 | | | REF_CLOSE: (1), (2), (12) are inconsistent by sub-proof #254. % 72.87/11.71 | | | % 72.87/11.71 | | Case 2: % 72.87/11.71 | | | % 72.87/11.71 | | | (13) all_10_22 = e0 % 72.87/11.71 | | | % 72.87/11.71 | | | REF_CLOSE: (4), (7), (13) are inconsistent by sub-proof #253. % 72.87/11.71 | | | % 72.87/11.71 | | End of split % 72.87/11.71 | | % 72.87/11.71 | End of split % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #253 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_10_22 = all_4_14 % 72.87/11.71 (2) all_10_22 = e0 % 72.87/11.71 (3) ~ (all_4_14 = e0) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | COMBINE_EQS: (1), (2) imply: % 72.87/11.71 | (4) all_4_14 = e0 % 72.87/11.71 | % 72.87/11.71 | SIMP: (4) implies: % 72.87/11.71 | (5) all_4_14 = e0 % 72.87/11.71 | % 72.87/11.71 | REDUCE: (3), (5) imply: % 72.87/11.71 | (6) $false % 72.87/11.71 | % 72.87/11.71 | CLOSE: (6) is inconsistent. % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #254 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_10_14 = all_4_13 % 72.87/11.71 (2) all_10_14 = e0 % 72.87/11.71 (3) ~ (all_4_13 = e0) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | COMBINE_EQS: (1), (2) imply: % 72.87/11.71 | (4) all_4_13 = e0 % 72.87/11.71 | % 72.87/11.71 | SIMP: (4) implies: % 72.87/11.71 | (5) all_4_13 = e0 % 72.87/11.71 | % 72.87/11.71 | REDUCE: (3), (5) imply: % 72.87/11.71 | (6) $false % 72.87/11.71 | % 72.87/11.71 | CLOSE: (6) is inconsistent. % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #255 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) ~ (all_4_1 = e0) % 72.87/11.71 (2) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e1 | all_6_5 = e0 % 72.87/11.71 (3) all_6_5 = all_4_1 % 72.87/11.71 (4) ~ (all_4_4 = e2) % 72.87/11.71 (5) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20 % 72.87/11.71 = e0 % 72.87/11.71 (6) ~ (all_4_4 = e0) % 72.87/11.71 (7) ~ (all_4_1 = e4) % 72.87/11.71 (8) ~ (all_4_4 = e4) % 72.87/11.71 (9) ~ (all_4_4 = e3) % 72.87/11.71 (10) ~ (all_4_1 = e3) % 72.87/11.71 (11) ~ (all_4_1 = e2) % 72.87/11.71 (12) all_6_20 = all_4_4 % 72.87/11.71 (13) ~ (all_4_1 = all_4_4) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | BETA: splitting (2) gives: % 72.87/11.71 | % 72.87/11.71 | Case 1: % 72.87/11.71 | | % 72.87/11.71 | | (14) all_6_5 = e1 % 72.87/11.71 | | % 72.87/11.71 | | COMBINE_EQS: (3), (14) imply: % 72.87/11.71 | | (15) all_4_1 = e1 % 72.87/11.71 | | % 72.87/11.71 | | SIMP: (15) implies: % 72.87/11.71 | | (16) all_4_1 = e1 % 72.87/11.71 | | % 72.87/11.71 | | REDUCE: (13), (16) imply: % 72.87/11.71 | | (17) ~ (all_4_4 = e1) % 72.87/11.71 | | % 72.87/11.71 | | SIMP: (17) implies: % 72.87/11.71 | | (18) ~ (all_4_4 = e1) % 72.87/11.71 | | % 72.87/11.71 | | BETA: splitting (5) gives: % 72.87/11.71 | | % 72.87/11.71 | | Case 1: % 72.87/11.71 | | | % 72.87/11.71 | | | (19) all_6_20 = e1 % 72.87/11.71 | | | % 72.87/11.71 | | | COMBINE_EQS: (12), (19) imply: % 72.87/11.71 | | | (20) all_4_4 = e1 % 72.87/11.71 | | | % 72.87/11.71 | | | REDUCE: (18), (20) imply: % 72.87/11.71 | | | (21) $false % 72.87/11.71 | | | % 72.87/11.71 | | | CLOSE: (21) is inconsistent. % 72.87/11.71 | | | % 72.87/11.71 | | Case 2: % 72.87/11.71 | | | % 72.87/11.71 | | | (22) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e0 % 72.87/11.71 | | | % 72.87/11.71 | | | REF_CLOSE: (4), (6), (8), (9), (12), (22) are inconsistent by sub-proof % 72.87/11.71 | | | #261. % 72.87/11.71 | | | % 72.87/11.71 | | End of split % 72.87/11.71 | | % 72.87/11.71 | Case 2: % 72.87/11.71 | | % 72.87/11.71 | | (23) all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0 % 72.87/11.71 | | % 72.87/11.71 | | BETA: splitting (23) gives: % 72.87/11.71 | | % 72.87/11.71 | | Case 1: % 72.87/11.71 | | | % 72.87/11.71 | | | (24) all_6_5 = e4 % 72.87/11.71 | | | % 72.87/11.71 | | | REF_CLOSE: (3), (7), (24) are inconsistent by sub-proof #260. % 72.87/11.71 | | | % 72.87/11.71 | | Case 2: % 72.87/11.71 | | | % 72.87/11.71 | | | (25) all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0 % 72.87/11.71 | | | % 72.87/11.71 | | | REF_CLOSE: (1), (3), (10), (11), (25) are inconsistent by sub-proof #256. % 72.87/11.71 | | | % 72.87/11.71 | | End of split % 72.87/11.71 | | % 72.87/11.71 | End of split % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #256 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) ~ (all_4_1 = e0) % 72.87/11.71 (2) all_6_5 = all_4_1 % 72.87/11.71 (3) all_6_5 = e3 | all_6_5 = e2 | all_6_5 = e0 % 72.87/11.71 (4) ~ (all_4_1 = e3) % 72.87/11.71 (5) ~ (all_4_1 = e2) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | BETA: splitting (3) gives: % 72.87/11.71 | % 72.87/11.71 | Case 1: % 72.87/11.71 | | % 72.87/11.71 | | (6) all_6_5 = e2 % 72.87/11.71 | | % 72.87/11.71 | | REF_CLOSE: (2), (5), (6) are inconsistent by sub-proof #259. % 72.87/11.71 | | % 72.87/11.71 | Case 2: % 72.87/11.71 | | % 72.87/11.71 | | (7) all_6_5 = e3 | all_6_5 = e0 % 72.87/11.71 | | % 72.87/11.71 | | REF_CLOSE: (1), (2), (4), (7) are inconsistent by sub-proof #257. % 72.87/11.71 | | % 72.87/11.71 | End of split % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #257 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_6_5 = e3 | all_6_5 = e0 % 72.87/11.71 (2) all_6_5 = all_4_1 % 72.87/11.71 (3) ~ (all_4_1 = e3) % 72.87/11.71 (4) ~ (all_4_1 = e0) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | BETA: splitting (1) gives: % 72.87/11.71 | % 72.87/11.71 | Case 1: % 72.87/11.71 | | % 72.87/11.71 | | (5) all_6_5 = e3 % 72.87/11.71 | | % 72.87/11.71 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #258. % 72.87/11.71 | | % 72.87/11.71 | Case 2: % 72.87/11.71 | | % 72.87/11.71 | | (6) all_6_5 = e0 % 72.87/11.71 | | % 72.87/11.71 | | COMBINE_EQS: (2), (6) imply: % 72.87/11.71 | | (7) all_4_1 = e0 % 72.87/11.71 | | % 72.87/11.71 | | SIMP: (7) implies: % 72.87/11.71 | | (8) all_4_1 = e0 % 72.87/11.71 | | % 72.87/11.71 | | REDUCE: (4), (8) imply: % 72.87/11.71 | | (9) $false % 72.87/11.71 | | % 72.87/11.71 | | CLOSE: (9) is inconsistent. % 72.87/11.71 | | % 72.87/11.71 | End of split % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #258 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_6_5 = all_4_1 % 72.87/11.71 (2) all_6_5 = e3 % 72.87/11.71 (3) ~ (all_4_1 = e3) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | COMBINE_EQS: (1), (2) imply: % 72.87/11.71 | (4) all_4_1 = e3 % 72.87/11.71 | % 72.87/11.71 | SIMP: (4) implies: % 72.87/11.71 | (5) all_4_1 = e3 % 72.87/11.71 | % 72.87/11.71 | REDUCE: (3), (5) imply: % 72.87/11.71 | (6) $false % 72.87/11.71 | % 72.87/11.71 | CLOSE: (6) is inconsistent. % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #259 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_6_5 = all_4_1 % 72.87/11.71 (2) all_6_5 = e2 % 72.87/11.71 (3) ~ (all_4_1 = e2) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | COMBINE_EQS: (1), (2) imply: % 72.87/11.71 | (4) all_4_1 = e2 % 72.87/11.71 | % 72.87/11.71 | SIMP: (4) implies: % 72.87/11.71 | (5) all_4_1 = e2 % 72.87/11.71 | % 72.87/11.71 | REDUCE: (3), (5) imply: % 72.87/11.71 | (6) $false % 72.87/11.71 | % 72.87/11.71 | CLOSE: (6) is inconsistent. % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #260 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_6_5 = all_4_1 % 72.87/11.71 (2) all_6_5 = e4 % 72.87/11.71 (3) ~ (all_4_1 = e4) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | COMBINE_EQS: (1), (2) imply: % 72.87/11.71 | (4) all_4_1 = e4 % 72.87/11.71 | % 72.87/11.71 | SIMP: (4) implies: % 72.87/11.71 | (5) all_4_1 = e4 % 72.87/11.71 | % 72.87/11.71 | REDUCE: (3), (5) imply: % 72.87/11.71 | (6) $false % 72.87/11.71 | % 72.87/11.71 | CLOSE: (6) is inconsistent. % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #261 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) ~ (all_4_4 = e2) % 72.87/11.71 (2) ~ (all_4_4 = e0) % 72.87/11.71 (3) ~ (all_4_4 = e4) % 72.87/11.71 (4) ~ (all_4_4 = e3) % 72.87/11.71 (5) all_6_20 = all_4_4 % 72.87/11.71 (6) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e0 % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | BETA: splitting (6) gives: % 72.87/11.71 | % 72.87/11.71 | Case 1: % 72.87/11.71 | | % 72.87/11.71 | | (7) all_6_20 = e4 % 72.87/11.71 | | % 72.87/11.71 | | COMBINE_EQS: (5), (7) imply: % 72.87/11.71 | | (8) all_4_4 = e4 % 72.87/11.71 | | % 72.87/11.71 | | REDUCE: (3), (8) imply: % 72.87/11.71 | | (9) $false % 72.87/11.71 | | % 72.87/11.71 | | CLOSE: (9) is inconsistent. % 72.87/11.71 | | % 72.87/11.71 | Case 2: % 72.87/11.71 | | % 72.87/11.71 | | (10) all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e0 % 72.87/11.71 | | % 72.87/11.71 | | REF_CLOSE: (1), (2), (4), (5), (10) are inconsistent by sub-proof #262. % 72.87/11.71 | | % 72.87/11.71 | End of split % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #262 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) ~ (all_4_4 = e2) % 72.87/11.71 (2) ~ (all_4_4 = e0) % 72.87/11.71 (3) ~ (all_4_4 = e3) % 72.87/11.71 (4) all_6_20 = all_4_4 % 72.87/11.71 (5) all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e0 % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | BETA: splitting (5) gives: % 72.87/11.71 | % 72.87/11.71 | Case 1: % 72.87/11.71 | | % 72.87/11.71 | | (6) all_6_20 = e2 % 72.87/11.71 | | % 72.87/11.71 | | COMBINE_EQS: (4), (6) imply: % 72.87/11.71 | | (7) all_4_4 = e2 % 72.87/11.71 | | % 72.87/11.71 | | REDUCE: (1), (7) imply: % 72.87/11.71 | | (8) $false % 72.87/11.71 | | % 72.87/11.71 | | CLOSE: (8) is inconsistent. % 72.87/11.71 | | % 72.87/11.71 | Case 2: % 72.87/11.71 | | % 72.87/11.71 | | (9) all_6_20 = e3 | all_6_20 = e0 % 72.87/11.71 | | % 72.87/11.71 | | REF_CLOSE: (2), (3), (4), (9) are inconsistent by sub-proof #263. % 72.87/11.71 | | % 72.87/11.71 | End of split % 72.87/11.71 | % 72.87/11.71 End of proof % 72.87/11.71 % 72.87/11.71 Sub-proof #263 shows that the following formulas are inconsistent: % 72.87/11.71 ---------------------------------------------------------------- % 72.87/11.71 (1) all_6_20 = e3 | all_6_20 = e0 % 72.87/11.71 (2) all_6_20 = all_4_4 % 72.87/11.71 (3) ~ (all_4_4 = e3) % 72.87/11.71 (4) ~ (all_4_4 = e0) % 72.87/11.71 % 72.87/11.71 Begin of proof % 72.87/11.71 | % 72.87/11.71 | BETA: splitting (1) gives: % 72.87/11.71 | % 72.87/11.71 | Case 1: % 72.87/11.71 | | % 72.87/11.71 | | (5) all_6_20 = e3 % 72.87/11.71 | | % 72.87/11.71 | | COMBINE_EQS: (2), (5) imply: % 72.87/11.71 | | (6) all_4_4 = e3 % 72.87/11.71 | | % 72.87/11.71 | | REDUCE: (3), (6) imply: % 72.87/11.72 | | (7) $false % 72.87/11.72 | | % 72.87/11.72 | | CLOSE: (7) is inconsistent. % 72.87/11.72 | | % 72.87/11.72 | Case 2: % 72.87/11.72 | | % 72.87/11.72 | | (8) all_6_20 = e0 % 72.87/11.72 | | % 72.87/11.72 | | COMBINE_EQS: (2), (8) imply: % 72.87/11.72 | | (9) all_4_4 = e0 % 72.87/11.72 | | % 72.87/11.72 | | REDUCE: (4), (9) imply: % 72.87/11.72 | | (10) $false % 72.87/11.72 | | % 72.87/11.72 | | CLOSE: (10) is inconsistent. % 72.87/11.72 | | % 72.87/11.72 | End of split % 72.87/11.72 | % 72.87/11.72 End of proof % 72.87/11.72 % 72.87/11.72 Sub-proof #264 shows that the following formulas are inconsistent: % 72.87/11.72 ---------------------------------------------------------------- % 72.87/11.72 (1) all_10_4 = e1 % 72.87/11.72 (2) all_10_4 = e0 % 72.87/11.72 (3) ~ (e1 = e0) % 72.87/11.72 % 72.87/11.72 Begin of proof % 72.87/11.72 | % 72.87/11.72 | COMBINE_EQS: (1), (2) imply: % 72.87/11.72 | (4) e1 = e0 % 72.87/11.72 | % 72.87/11.72 | SIMP: (4) implies: % 72.87/11.72 | (5) e1 = e0 % 72.87/11.72 | % 72.87/11.72 | REDUCE: (3), (5) imply: % 72.87/11.72 | (6) $false % 72.87/11.72 | % 72.87/11.72 | CLOSE: (6) is inconsistent. % 72.87/11.72 | % 72.87/11.72 End of proof % 72.87/11.72 % 72.87/11.72 Sub-proof #265 shows that the following formulas are inconsistent: % 72.87/11.72 ---------------------------------------------------------------- % 72.87/11.72 (1) all_6_24 = all_4_24 % 72.87/11.72 (2) all_6_24 = e3 % 72.87/11.72 (3) ~ (all_4_24 = e3) % 72.87/11.72 % 72.87/11.72 Begin of proof % 72.87/11.72 | % 72.87/11.72 | COMBINE_EQS: (1), (2) imply: % 72.87/11.72 | (4) all_4_24 = e3 % 72.87/11.72 | % 72.87/11.72 | SIMP: (4) implies: % 72.87/11.72 | (5) all_4_24 = e3 % 72.87/11.72 | % 72.87/11.72 | REDUCE: (3), (5) imply: % 72.87/11.72 | (6) $false % 72.87/11.72 | % 72.87/11.72 | CLOSE: (6) is inconsistent. % 72.87/11.72 | % 72.87/11.72 End of proof % 72.87/11.72 % 72.87/11.72 Sub-proof #266 shows that the following formulas are inconsistent: % 72.87/11.72 ---------------------------------------------------------------- % 72.87/11.72 (1) all_6_15 = all_4_3 % 72.87/11.72 (2) all_6_15 = e4 % 72.87/11.72 (3) ~ (all_4_3 = e4) % 72.87/11.72 % 72.87/11.72 Begin of proof % 72.87/11.72 | % 72.87/11.72 | COMBINE_EQS: (1), (2) imply: % 72.87/11.72 | (4) all_4_3 = e4 % 72.87/11.72 | % 72.87/11.72 | SIMP: (4) implies: % 72.87/11.72 | (5) all_4_3 = e4 % 72.87/11.72 | % 72.87/11.72 | REDUCE: (3), (5) imply: % 72.87/11.72 | (6) $false % 72.87/11.72 | % 72.87/11.72 | CLOSE: (6) is inconsistent. % 72.87/11.72 | % 72.87/11.72 End of proof % 72.87/11.72 % 72.87/11.72 Sub-proof #267 shows that the following formulas are inconsistent: % 72.87/11.72 ---------------------------------------------------------------- % 72.87/11.72 (1) all_6_15 = all_4_3 % 72.87/11.72 (2) all_6_15 = e1 % 72.87/11.72 (3) ~ (all_4_3 = e1) % 72.87/11.72 % 72.87/11.72 Begin of proof % 72.87/11.72 | % 72.87/11.72 | COMBINE_EQS: (1), (2) imply: % 72.87/11.72 | (4) all_4_3 = e1 % 72.87/11.72 | % 72.87/11.72 | SIMP: (4) implies: % 72.87/11.72 | (5) all_4_3 = e1 % 72.87/11.72 | % 72.87/11.72 | REDUCE: (3), (5) imply: % 72.87/11.72 | (6) $false % 72.87/11.72 | % 72.87/11.72 | CLOSE: (6) is inconsistent. % 72.87/11.72 | % 72.87/11.72 End of proof % 72.87/11.72 % 72.87/11.72 Sub-proof #268 shows that the following formulas are inconsistent: % 72.87/11.72 ---------------------------------------------------------------- % 72.87/11.72 (1) all_6_0 = all_4_0 % 72.87/11.72 (2) all_6_0 = e1 % 72.87/11.72 (3) ~ (all_4_0 = e1) % 72.87/11.72 % 72.87/11.72 Begin of proof % 72.87/11.72 | % 72.87/11.72 | COMBINE_EQS: (1), (2) imply: % 72.87/11.72 | (4) all_4_0 = e1 % 72.87/11.72 | % 72.87/11.72 | SIMP: (4) implies: % 72.87/11.72 | (5) all_4_0 = e1 % 72.87/11.72 | % 72.87/11.72 | REDUCE: (3), (5) imply: % 72.87/11.72 | (6) $false % 72.87/11.72 | % 72.87/11.72 | CLOSE: (6) is inconsistent. % 72.87/11.72 | % 72.87/11.72 End of proof % 72.87/11.72 % SZS output end Proof for theBenchmark % 72.87/11.72 % 72.87/11.72 11113ms %------------------------------------------------------------------------------