%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ALG055+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 : n019.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 16:36:01 EDT 2023 % Result : Theorem 17.95s 3.20s % Output : Proof 82.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG055+1 : TPTP v8.1.2. Released v2.7.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n019.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Mon Aug 28 04:53:28 EDT 2023 % 0.13/0.35 % CPUTime : % 0.20/0.59 ________ _____ % 0.20/0.59 ___ __ \_________(_)________________________________ % 0.20/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.59 % 0.20/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.59 (2023-06-19) % 0.20/0.59 % 0.20/0.59 (c) Philipp Rümmer, 2009-2023 % 0.20/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.59 Amanda Stjerna. % 0.20/0.59 Free software under BSD-3-Clause. % 0.20/0.59 % 0.20/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.59 % 0.20/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.20/0.60 Running up to 7 provers in parallel. % 0.20/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 7.26/1.73 Prover 1: Preprocessing ... % 7.26/1.74 Prover 4: Preprocessing ... % 7.72/1.78 Prover 2: Preprocessing ... % 7.72/1.78 Prover 3: Preprocessing ... % 7.72/1.79 Prover 5: Preprocessing ... % 7.72/1.79 Prover 0: Preprocessing ... % 7.72/1.79 Prover 6: Preprocessing ... % 12.93/2.50 Prover 1: Constructing countermodel ... % 13.12/2.51 Prover 2: Constructing countermodel ... % 13.31/2.54 Prover 4: Constructing countermodel ... % 13.31/2.56 Prover 3: Constructing countermodel ... % 14.53/2.77 Prover 6: Constructing countermodel ... % 15.09/2.80 Prover 0: Constructing countermodel ... % 17.95/3.20 Prover 6: proved (2576ms) % 17.95/3.20 % 17.95/3.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 17.95/3.20 % 17.95/3.20 Prover 3: stopped % 17.95/3.20 Prover 0: stopped % 17.95/3.20 Prover 2: stopped % 17.95/3.21 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 17.95/3.21 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 17.95/3.22 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 17.95/3.22 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 19.21/3.37 Prover 5: Constructing countermodel ... % 19.21/3.41 Prover 5: stopped % 19.21/3.45 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 20.97/3.69 Prover 8: Preprocessing ... % 21.95/3.82 Prover 7: Preprocessing ... % 21.95/3.85 Prover 11: Preprocessing ... % 21.95/3.85 Prover 10: Preprocessing ... % 23.19/3.94 Prover 13: Preprocessing ... % 23.19/3.98 Prover 8: Constructing countermodel ... % 24.96/4.30 Prover 13: Constructing countermodel ... % 24.96/4.31 Prover 10: Constructing countermodel ... % 25.67/4.34 Prover 11: Constructing countermodel ... % 26.42/4.39 Prover 7: Constructing countermodel ... % 63.35/9.27 Prover 13: stopped % 63.35/9.27 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 64.39/9.44 Prover 16: Preprocessing ... % 66.52/9.67 Prover 16: Constructing countermodel ... % 76.66/10.95 Prover 1: Found proof (size 11697) % 76.66/10.95 Prover 1: proved (10340ms) % 76.66/10.95 Prover 10: stopped % 76.66/10.95 Prover 8: stopped % 76.66/10.95 Prover 16: stopped % 76.66/10.95 Prover 11: stopped % 76.66/10.95 Prover 7: stopped % 76.66/10.96 Prover 4: stopped % 76.66/10.96 % 76.66/10.96 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 76.66/10.96 % 78.00/11.30 % SZS output start Proof for theBenchmark % 78.00/11.34 Assumptions after simplification: % 78.00/11.34 --------------------------------- % 78.00/11.34 % 78.00/11.34 (ax1) % 78.00/11.39 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? % 78.00/11.39 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] % 78.00/11.39 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 78.00/11.39 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 78.00/11.39 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 78.00/11.39 [v23: $i] : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = % 78.00/11.39 v22 & op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) = % 78.00/11.39 v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2, e4) = % 78.00/11.39 v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11 & op(e2, e0) = % 78.00/11.40 v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = v7 & op(e1, e1) = v6 % 78.00/11.40 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & % 78.00/11.40 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & % 78.00/11.40 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & % 78.00/11.40 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 78.00/11.40 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 | % 78.00/11.40 v24 = e2 | v24 = e1 | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 = % 78.00/11.40 e1 | v23 = e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) & % 78.00/11.40 (v21 = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20 = % 78.00/11.40 e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19 = e2 | % 78.00/11.40 v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18 = e1 | v18 = % 78.00/11.40 e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17 = e0) & (v16 = e4 | % 78.00/11.40 v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) & (v15 = e4 | v15 = e3 | v15 = % 78.00/11.40 e2 | v15 = e1 | v15 = e0) & (v14 = e4 | v14 = e3 | v14 = e2 | v14 = e1 | % 78.00/11.40 v14 = e0) & (v13 = e4 | v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 % 78.00/11.40 = e4 | v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 | % 78.00/11.40 v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 = % 78.00/11.40 e1 | v10 = e0) & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = % 78.00/11.40 e4 | v8 = e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2 % 78.00/11.40 | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 = e0) & % 78.00/11.40 (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4 | v4 = e3 | v4 % 78.00/11.40 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3 = e2 | v3 = e1 | v3 = % 78.00/11.40 e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e4 | v1 = % 78.00/11.40 e3 | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 % 78.00/11.40 | v0 = e0)) % 78.00/11.40 % 78.00/11.40 (ax3) % 78.00/11.41 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? % 78.00/11.41 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] % 78.00/11.41 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 78.00/11.41 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 78.00/11.41 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 78.00/11.41 [v23: $i] : ? [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = % 78.00/11.41 v20 & op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3, e3) = % 78.00/11.41 v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7 & op(e2, e4) = % 78.00/11.41 v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2, e1) = v13 & op(e2, e0) = % 78.00/11.41 v6 & op(e1, e4) = v12 & op(e1, e3) = v11 & op(e1, e2) = v10 & op(e1, e1) = % 78.00/11.41 v9 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 & % 78.00/11.41 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & % 78.00/11.41 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & % 78.00/11.41 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 78.00/11.41 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v23 = e4 | % 78.00/11.42 v20 = e4 | v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 | v18 = e4 | v12 = % 78.00/11.42 e4 | v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 | v15 = e3 | v8 = e3) & % 78.00/11.42 (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 | v4 = e3) & (v24 = e2 | v23 = e2 % 78.00/11.42 | v20 = e2 | v15 = e2 | v8 = e2) & (v24 = e2 | v22 = e2 | v18 = e2 | v12 = % 78.00/11.42 e2 | v4 = e2) & (v24 = e1 | v23 = e1 | v20 = e1 | v15 = e1 | v8 = e1) & % 78.00/11.42 (v24 = e1 | v22 = e1 | v18 = e1 | v12 = e1 | v4 = e1) & (v24 = e0 | v23 = e0 % 78.00/11.42 | v20 = e0 | v15 = e0 | v8 = e0) & (v24 = e0 | v22 = e0 | v18 = e0 | v12 = % 78.00/11.42 e0 | v4 = e0) & (v23 = e4 | v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) & % 78.00/11.42 (v23 = e3 | v21 = e3 | v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 | v21 = e2 % 78.00/11.42 | v17 = e2 | v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 | v17 = e1 | v11 = % 78.00/11.42 e1 | v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 | v11 = e0 | v3 = e0) & % 78.00/11.42 (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 | v7 = e4) & (v22 = e3 | v21 = e3 % 78.00/11.42 | v19 = e3 | v14 = e3 | v7 = e3) & (v22 = e2 | v21 = e2 | v19 = e2 | v14 = % 78.00/11.42 e2 | v7 = e2) & (v22 = e1 | v21 = e1 | v19 = e1 | v14 = e1 | v7 = e1) & % 78.00/11.42 (v22 = e0 | v21 = e0 | v19 = e0 | v14 = e0 | v7 = e0) & (v20 = e4 | v19 = e4 % 78.00/11.42 | v16 = e4 | v10 = e4 | v2 = e4) & (v20 = e3 | v19 = e3 | v16 = e3 | v10 = % 78.00/11.42 e3 | v2 = e3) & (v20 = e2 | v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) & % 78.00/11.42 (v20 = e1 | v19 = e1 | v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 | v19 = e0 % 78.00/11.42 | v16 = e0 | v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 | v16 = e4 | v13 = % 78.00/11.42 e4 | v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 | v13 = e3 | v6 = e3) & % 78.00/11.42 (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 | v6 = e2) & (v18 = e1 | v17 = e1 % 78.00/11.42 | v16 = e1 | v13 = e1 | v6 = e1) & (v18 = e0 | v17 = e0 | v16 = e0 | v13 = % 78.00/11.42 e0 | v6 = e0) & (v15 = e4 | v14 = e4 | v13 = e4 | v9 = e4 | v1 = e4) & % 78.00/11.42 (v15 = e3 | v14 = e3 | v13 = e3 | v9 = e3 | v1 = e3) & (v15 = e2 | v14 = e2 % 78.00/11.42 | v13 = e2 | v9 = e2 | v1 = e2) & (v15 = e1 | v14 = e1 | v13 = e1 | v9 = % 78.00/11.42 e1 | v1 = e1) & (v15 = e0 | v14 = e0 | v13 = e0 | v9 = e0 | v1 = e0) & % 78.00/11.42 (v12 = e4 | v11 = e4 | v10 = e4 | v9 = e4 | v5 = e4) & (v12 = e3 | v11 = e3 % 78.00/11.42 | v10 = e3 | v9 = e3 | v5 = e3) & (v12 = e2 | v11 = e2 | v10 = e2 | v9 = % 78.00/11.42 e2 | v5 = e2) & (v12 = e1 | v11 = e1 | v10 = e1 | v9 = e1 | v5 = e1) & % 78.00/11.42 (v12 = e0 | v11 = e0 | v10 = e0 | v9 = e0 | v5 = e0) & (v8 = e4 | v7 = e4 | % 78.00/11.42 v6 = e4 | v5 = e4 | v0 = e4) & (v8 = e3 | v7 = e3 | v6 = e3 | v5 = e3 | v0 % 78.00/11.42 = e3) & (v8 = e2 | v7 = e2 | v6 = e2 | v5 = e2 | v0 = e2) & (v8 = e1 | v7 % 78.00/11.42 = e1 | v6 = e1 | v5 = e1 | v0 = e1) & (v4 = e4 | v3 = e4 | v2 = e4 | v1 = % 78.00/11.42 e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v2 = e3 | v1 = e3 | v0 = e3) & (v4 = % 78.00/11.42 e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 = e2) & (v4 = e1 | v3 = e1 | v2 = e1 % 78.00/11.42 | v1 = e1 | v0 = e1) & (v0 = e0 | ((v8 = e0 | v7 = e0 | v6 = e0 | v5 = e0) % 78.00/11.42 & (v4 = e0 | v3 = e0 | v2 = e0 | v1 = e0)))) % 78.00/11.42 % 78.00/11.42 (ax4) % 78.64/11.45 $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? % 78.64/11.45 [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] % 78.64/11.45 : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? % 78.64/11.45 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? % 78.64/11.45 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? % 78.64/11.45 [v23: $i] : ? [v24: $i] : ( ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v21) & % 78.64/11.45 ~ (v24 = v20) & ~ (v24 = v19) & ~ (v24 = v14) & ~ (v24 = v9) & ~ (v24 = % 78.64/11.45 v4) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~ (v23 = v18) & % 78.64/11.45 ~ (v23 = v13) & ~ (v23 = v8) & ~ (v23 = v3) & ~ (v22 = v21) & ~ (v22 = % 78.64/11.45 v20) & ~ (v22 = v17) & ~ (v22 = v12) & ~ (v22 = v7) & ~ (v22 = v2) & % 78.64/11.45 ~ (v21 = v20) & ~ (v21 = v16) & ~ (v21 = v11) & ~ (v21 = v6) & ~ (v21 = % 78.64/11.45 v1) & ~ (v20 = v15) & ~ (v20 = v10) & ~ (v20 = v5) & ~ (v20 = v0) & ~ % 78.64/11.45 (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 = % 78.64/11.45 v14) & ~ (v19 = v9) & ~ (v19 = v4) & ~ (v18 = v17) & ~ (v18 = v16) & % 78.64/11.45 ~ (v18 = v15) & ~ (v18 = v13) & ~ (v18 = v8) & ~ (v18 = v3) & ~ (v17 = % 78.64/11.45 v16) & ~ (v17 = v15) & ~ (v17 = v12) & ~ (v17 = v7) & ~ (v17 = v2) & % 78.64/11.45 ~ (v16 = v15) & ~ (v16 = v11) & ~ (v16 = v6) & ~ (v16 = v1) & ~ (v15 = % 78.64/11.45 v10) & ~ (v15 = v5) & ~ (v15 = v0) & ~ (v14 = v13) & ~ (v14 = v12) & % 78.64/11.45 ~ (v14 = v11) & ~ (v14 = v10) & ~ (v14 = v9) & ~ (v14 = v4) & ~ (v13 = % 78.64/11.45 v12) & ~ (v13 = v11) & ~ (v13 = v10) & ~ (v13 = v8) & ~ (v13 = v3) & % 78.64/11.45 ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = v7) & ~ (v12 = v2) & ~ (v11 = % 78.64/11.45 v10) & ~ (v11 = v6) & ~ (v11 = v1) & ~ (v10 = v5) & ~ (v10 = v0) & ~ % 78.64/11.45 (v9 = v8) & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = v4) & ~ % 78.64/11.45 (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v3) & ~ (v7 = v6) & ~ % 78.64/11.45 (v7 = v5) & ~ (v7 = v2) & ~ (v6 = v5) & ~ (v6 = v1) & ~ (v5 = v0) & ~ % 78.64/11.45 (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ % 78.64/11.45 (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & % 78.64/11.45 op(e4, e4) = v24 & op(e4, e3) = v19 & op(e4, e2) = v14 & op(e4, e1) = v9 & % 78.64/11.45 op(e4, e0) = v4 & op(e3, e4) = v23 & op(e3, e3) = v18 & op(e3, e2) = v13 & % 78.64/11.45 op(e3, e1) = v8 & op(e3, e0) = v3 & op(e2, e4) = v22 & op(e2, e3) = v17 & % 78.64/11.45 op(e2, e2) = v12 & op(e2, e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 & % 78.64/11.45 op(e1, e3) = v16 & op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 & % 78.64/11.45 op(e0, e4) = v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1) = v5 & % 78.64/11.45 op(e0, e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) % 78.64/11.45 & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & % 78.64/11.45 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 78.64/11.45 $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 78.64/11.45 % 78.64/11.45 (ax6) % 78.64/11.46 op(e4, e4) = e0 & op(e3, e4) = e1 & op(e2, e4) = e3 & op(e2, e2) = e4 & $i(e4) % 78.64/11.46 & $i(e3) & $i(e2) & $i(e1) & $i(e0) % 78.64/11.46 % 78.64/11.46 (co1) % 78.64/11.50 $i(unit) & $i(e4) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: % 78.64/11.50 $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : % 78.64/11.50 ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? % 78.64/11.50 [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? % 78.64/11.50 [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? % 78.64/11.50 [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? % 78.64/11.50 [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? % 78.64/11.50 [v32: $i] : ? [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? % 78.64/11.50 [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? % 78.64/11.50 [v42: $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? % 78.64/11.50 [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] : ? % 78.64/11.50 [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: $i] : ? % 78.64/11.50 [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? [v61: $i] : ? % 78.64/11.50 [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i] : ? [v66: $i] : ? % 78.64/11.50 [v67: $i] : ? [v68: $i] : ? [v69: $i] : (op(e4, v68) = v69 & op(e4, v65) = % 78.64/11.50 v67 & op(e4, v62) = v64 & op(e4, v59) = v61 & op(e4, v56) = v58 & op(e4, % 78.64/11.50 v53) = v54 & op(e4, v39) = v40 & op(e4, v25) = v26 & op(e4, v11) = v12 & % 78.64/11.50 op(e4, e4) = v68 & op(e4, e3) = v53 & op(e4, e2) = v39 & op(e4, e1) = v25 & % 78.64/11.50 op(e4, e0) = v11 & op(e3, v65) = v66 & op(e3, v53) = v55 & op(e3, v51) = v52 % 78.64/11.50 & op(e3, v48) = v50 & op(e3, v45) = v47 & op(e3, v42) = v44 & op(e3, v36) = % 78.64/11.50 v37 & op(e3, v22) = v23 & op(e3, v8) = v9 & op(e3, e4) = v65 & op(e3, e3) = % 78.64/11.50 v51 & op(e3, e2) = v36 & op(e3, e1) = v22 & op(e3, e0) = v8 & op(e2, v62) = % 78.64/11.50 v63 & op(e2, v48) = v49 & op(e2, v39) = v41 & op(e2, v36) = v38 & op(e2, % 78.64/11.50 v34) = v35 & op(e2, v31) = v33 & op(e2, v28) = v30 & op(e2, v19) = v20 & % 78.64/11.50 op(e2, v5) = v6 & op(e2, e4) = v62 & op(e2, e3) = v48 & op(e2, e2) = v34 & % 78.64/11.50 op(e2, e1) = v19 & op(e2, e0) = v5 & op(e1, v59) = v60 & op(e1, v45) = v46 & % 78.64/11.50 op(e1, v31) = v32 & op(e1, v25) = v27 & op(e1, v22) = v24 & op(e1, v19) = % 78.64/11.50 v21 & op(e1, v17) = v18 & op(e1, v14) = v16 & op(e1, v2) = v3 & op(e1, e4) = % 78.64/11.50 v59 & op(e1, e3) = v45 & op(e1, e2) = v31 & op(e1, e1) = v17 & op(e1, e0) = % 78.64/11.50 v2 & op(e0, v56) = v57 & op(e0, v42) = v43 & op(e0, v28) = v29 & op(e0, v14) % 78.64/11.50 = v15 & op(e0, v11) = v13 & op(e0, v8) = v10 & op(e0, v5) = v7 & op(e0, v2) % 78.64/11.50 = v4 & op(e0, v0) = v1 & op(e0, e4) = v56 & op(e0, e3) = v42 & op(e0, e2) = % 78.64/11.50 v28 & op(e0, e1) = v14 & op(e0, e0) = v0 & $i(v69) & $i(v68) & $i(v67) & % 78.64/11.50 $i(v66) & $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) & % 78.64/11.50 $i(v59) & $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) & % 78.64/11.50 $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) & $i(v46) & % 78.64/11.50 $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) & % 78.64/11.50 $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) & $i(v33) & $i(v32) & % 78.64/11.50 $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & % 78.64/11.50 $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & % 78.64/11.50 $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & % 78.64/11.50 $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & % 78.64/11.50 $i(v2) & $i(v1) & $i(v0) & ((v67 = e3 & ~ (v66 = e4)) | (v64 = e2 & ~ (v63 % 78.64/11.50 = e4)) | (v61 = e1 & ~ (v60 = e4)) | (v58 = e0 & ~ (v57 = e4))) & % 78.64/11.50 ((v55 = e4 & ~ (v54 = e3)) | (v50 = e2 & ~ (v49 = e3)) | (v47 = e1 & ~ % 78.64/11.50 (v46 = e3)) | (v44 = e0 & ~ (v43 = e3))) & ((v41 = e4 & ~ (v40 = e2)) % 78.64/11.50 | (v38 = e3 & ~ (v37 = e2)) | (v33 = e1 & ~ (v32 = e2)) | (v30 = e0 & ~ % 78.64/11.50 (v29 = e2))) & ((v27 = e4 & ~ (v26 = e1)) | (v24 = e3 & ~ (v23 = e1)) % 78.64/11.50 | (v21 = e2 & ~ (v20 = e1)) | (v16 = e0 & ~ (v15 = e1))) & ((v13 = e4 & % 78.64/11.50 ~ (v12 = e0)) | (v10 = e3 & ~ (v9 = e0)) | (v7 = e2 & ~ (v6 = e0)) | % 78.64/11.50 (v4 = e1 & ~ (v3 = e0))) & ((( ~ (v68 = e4) | ~ (unit = e4)) & ( ~ (v65 % 78.64/11.50 = e4) | ~ (unit = e4)) & ( ~ (v62 = e4) | ~ (unit = e4)) & ( ~ % 78.64/11.50 (v59 = e4) | ~ (unit = e4)) & ( ~ (v56 = e4) | ~ (unit = e4)) & ( ~ % 78.64/11.50 (v53 = e4) | (v68 = e3 & ~ (unit = e4))) & ( ~ (v51 = e4) | (v65 = e3 % 78.64/11.50 & ~ (unit = e4))) & ( ~ (v48 = e4) | (v62 = e3 & ~ (unit = e4))) & % 78.64/11.50 ( ~ (v45 = e4) | (v59 = e3 & ~ (unit = e4))) & ( ~ (v42 = e4) | (v56 = % 78.64/11.50 e3 & ~ (unit = e4))) & ( ~ (v39 = e4) | (v68 = e2 & ~ (unit = % 78.64/11.50 e4))) & ( ~ (v36 = e4) | (v65 = e2 & ~ (unit = e4))) & ( ~ (v34 = % 78.64/11.50 e4) | (v62 = e2 & ~ (unit = e4))) & ( ~ (v31 = e4) | (v59 = e2 & ~ % 78.64/11.50 (unit = e4))) & ( ~ (v28 = e4) | (v56 = e2 & ~ (unit = e4))) & ( ~ % 78.64/11.50 (v25 = e4) | (v68 = e1 & ~ (unit = e4))) & ( ~ (v22 = e4) | (v65 = e1 % 78.64/11.50 & ~ (unit = e4))) & ( ~ (v19 = e4) | (v62 = e1 & ~ (unit = e4))) & % 78.64/11.50 ( ~ (v17 = e4) | (v59 = e1 & ~ (unit = e4))) & ( ~ (v14 = e4) | (v56 = % 78.64/11.50 e1 & ~ (unit = e4))) & ( ~ (v11 = e4) | (v68 = e0 & ~ (unit = % 78.64/11.50 e4))) & ( ~ (v8 = e4) | (v65 = e0 & ~ (unit = e4))) & ( ~ (v5 = % 78.64/11.50 e4) | (v62 = e0 & ~ (unit = e4))) & ( ~ (v2 = e4) | (v59 = e0 & ~ % 78.64/11.50 (unit = e4))) & ( ~ (v0 = e4) | (v56 = e0 & ~ (unit = e4)))) | (( ~ % 78.64/11.50 (v68 = e3) | (v53 = e4 & ~ (unit = e3))) & ( ~ (v65 = e3) | (v51 = e4 % 78.64/11.50 & ~ (unit = e3))) & ( ~ (v62 = e3) | (v48 = e4 & ~ (unit = e3))) & % 78.64/11.50 ( ~ (v59 = e3) | (v45 = e4 & ~ (unit = e3))) & ( ~ (v56 = e3) | (v42 = % 78.64/11.50 e4 & ~ (unit = e3))) & ( ~ (v53 = e3) | ~ (unit = e3)) & ( ~ (v51 % 78.64/11.50 = e3) | ~ (unit = e3)) & ( ~ (v48 = e3) | ~ (unit = e3)) & ( ~ % 78.64/11.50 (v45 = e3) | ~ (unit = e3)) & ( ~ (v42 = e3) | ~ (unit = e3)) & ( ~ % 78.64/11.50 (v39 = e3) | (v53 = e2 & ~ (unit = e3))) & ( ~ (v36 = e3) | (v51 = e2 % 78.64/11.50 & ~ (unit = e3))) & ( ~ (v34 = e3) | (v48 = e2 & ~ (unit = e3))) & % 78.64/11.50 ( ~ (v31 = e3) | (v45 = e2 & ~ (unit = e3))) & ( ~ (v28 = e3) | (v42 = % 78.64/11.50 e2 & ~ (unit = e3))) & ( ~ (v25 = e3) | (v53 = e1 & ~ (unit = % 78.64/11.50 e3))) & ( ~ (v22 = e3) | (v51 = e1 & ~ (unit = e3))) & ( ~ (v19 = % 78.64/11.50 e3) | (v48 = e1 & ~ (unit = e3))) & ( ~ (v17 = e3) | (v45 = e1 & ~ % 78.64/11.50 (unit = e3))) & ( ~ (v14 = e3) | (v42 = e1 & ~ (unit = e3))) & ( ~ % 78.64/11.51 (v11 = e3) | (v53 = e0 & ~ (unit = e3))) & ( ~ (v8 = e3) | (v51 = e0 % 78.64/11.51 & ~ (unit = e3))) & ( ~ (v5 = e3) | (v48 = e0 & ~ (unit = e3))) & % 78.64/11.51 ( ~ (v2 = e3) | (v45 = e0 & ~ (unit = e3))) & ( ~ (v0 = e3) | (v42 = e0 % 78.64/11.51 & ~ (unit = e3)))) | (( ~ (v68 = e2) | (v39 = e4 & ~ (unit = e2))) % 78.64/11.51 & ( ~ (v65 = e2) | (v36 = e4 & ~ (unit = e2))) & ( ~ (v62 = e2) | (v34 % 78.64/11.51 = e4 & ~ (unit = e2))) & ( ~ (v59 = e2) | (v31 = e4 & ~ (unit = % 78.64/11.51 e2))) & ( ~ (v56 = e2) | (v28 = e4 & ~ (unit = e2))) & ( ~ (v53 = % 78.64/11.51 e2) | (v39 = e3 & ~ (unit = e2))) & ( ~ (v51 = e2) | (v36 = e3 & ~ % 78.64/11.51 (unit = e2))) & ( ~ (v48 = e2) | (v34 = e3 & ~ (unit = e2))) & ( ~ % 78.64/11.51 (v45 = e2) | (v31 = e3 & ~ (unit = e2))) & ( ~ (v42 = e2) | (v28 = e3 % 78.64/11.51 & ~ (unit = e2))) & ( ~ (v39 = e2) | ~ (unit = e2)) & ( ~ (v36 = % 78.64/11.51 e2) | ~ (unit = e2)) & ( ~ (v34 = e2) | ~ (unit = e2)) & ( ~ (v31 % 78.64/11.51 = e2) | ~ (unit = e2)) & ( ~ (v28 = e2) | ~ (unit = e2)) & ( ~ % 78.64/11.51 (v25 = e2) | (v39 = e1 & ~ (unit = e2))) & ( ~ (v22 = e2) | (v36 = e1 % 78.64/11.51 & ~ (unit = e2))) & ( ~ (v19 = e2) | (v34 = e1 & ~ (unit = e2))) & % 78.64/11.51 ( ~ (v17 = e2) | (v31 = e1 & ~ (unit = e2))) & ( ~ (v14 = e2) | (v28 = % 78.64/11.51 e1 & ~ (unit = e2))) & ( ~ (v11 = e2) | (v39 = e0 & ~ (unit = % 78.64/11.51 e2))) & ( ~ (v8 = e2) | (v36 = e0 & ~ (unit = e2))) & ( ~ (v5 = % 78.64/11.51 e2) | (v34 = e0 & ~ (unit = e2))) & ( ~ (v2 = e2) | (v31 = e0 & ~ % 78.64/11.51 (unit = e2))) & ( ~ (v0 = e2) | (v28 = e0 & ~ (unit = e2)))) | (( ~ % 78.64/11.51 (v68 = e1) | (v25 = e4 & ~ (unit = e1))) & ( ~ (v65 = e1) | (v22 = e4 % 78.64/11.51 & ~ (unit = e1))) & ( ~ (v62 = e1) | (v19 = e4 & ~ (unit = e1))) & % 78.64/11.51 ( ~ (v59 = e1) | (v17 = e4 & ~ (unit = e1))) & ( ~ (v56 = e1) | (v14 = % 78.64/11.51 e4 & ~ (unit = e1))) & ( ~ (v53 = e1) | (v25 = e3 & ~ (unit = % 78.64/11.51 e1))) & ( ~ (v51 = e1) | (v22 = e3 & ~ (unit = e1))) & ( ~ (v48 = % 78.64/11.51 e1) | (v19 = e3 & ~ (unit = e1))) & ( ~ (v45 = e1) | (v17 = e3 & ~ % 78.64/11.51 (unit = e1))) & ( ~ (v42 = e1) | (v14 = e3 & ~ (unit = e1))) & ( ~ % 78.64/11.51 (v39 = e1) | (v25 = e2 & ~ (unit = e1))) & ( ~ (v36 = e1) | (v22 = e2 % 78.64/11.51 & ~ (unit = e1))) & ( ~ (v34 = e1) | (v19 = e2 & ~ (unit = e1))) & % 78.64/11.51 ( ~ (v31 = e1) | (v17 = e2 & ~ (unit = e1))) & ( ~ (v28 = e1) | (v14 = % 78.64/11.51 e2 & ~ (unit = e1))) & ( ~ (v25 = e1) | ~ (unit = e1)) & ( ~ (v22 % 78.64/11.51 = e1) | ~ (unit = e1)) & ( ~ (v19 = e1) | ~ (unit = e1)) & ( ~ % 78.64/11.51 (v17 = e1) | ~ (unit = e1)) & ( ~ (v14 = e1) | ~ (unit = e1)) & ( ~ % 78.64/11.51 (v11 = e1) | (v25 = e0 & ~ (unit = e1))) & ( ~ (v8 = e1) | (v22 = e0 % 78.64/11.51 & ~ (unit = e1))) & ( ~ (v5 = e1) | (v19 = e0 & ~ (unit = e1))) & % 78.64/11.51 ( ~ (v2 = e1) | (v17 = e0 & ~ (unit = e1))) & ( ~ (v0 = e1) | (v14 = e0 % 78.64/11.51 & ~ (unit = e1)))) | (( ~ (v68 = e0) | (v11 = e4 & ~ (unit = e0))) % 78.64/11.51 & ( ~ (v65 = e0) | (v8 = e4 & ~ (unit = e0))) & ( ~ (v62 = e0) | (v5 = % 78.64/11.51 e4 & ~ (unit = e0))) & ( ~ (v59 = e0) | (v2 = e4 & ~ (unit = e0))) % 78.64/11.51 & ( ~ (v56 = e0) | (v0 = e4 & ~ (unit = e0))) & ( ~ (v53 = e0) | (v11 = % 78.64/11.51 e3 & ~ (unit = e0))) & ( ~ (v51 = e0) | (v8 = e3 & ~ (unit = e0))) % 78.64/11.51 & ( ~ (v48 = e0) | (v5 = e3 & ~ (unit = e0))) & ( ~ (v45 = e0) | (v2 = % 78.64/11.51 e3 & ~ (unit = e0))) & ( ~ (v42 = e0) | (v0 = e3 & ~ (unit = e0))) % 78.64/11.51 & ( ~ (v39 = e0) | (v11 = e2 & ~ (unit = e0))) & ( ~ (v36 = e0) | (v8 = % 78.64/11.51 e2 & ~ (unit = e0))) & ( ~ (v34 = e0) | (v5 = e2 & ~ (unit = e0))) % 78.64/11.51 & ( ~ (v31 = e0) | (v2 = e2 & ~ (unit = e0))) & ( ~ (v28 = e0) | (v0 = % 78.64/11.51 e2 & ~ (unit = e0))) & ( ~ (v25 = e0) | (v11 = e1 & ~ (unit = % 78.64/11.51 e0))) & ( ~ (v22 = e0) | (v8 = e1 & ~ (unit = e0))) & ( ~ (v19 = % 78.64/11.51 e0) | (v5 = e1 & ~ (unit = e0))) & ( ~ (v17 = e0) | (v2 = e1 & ~ % 78.64/11.51 (unit = e0))) & ( ~ (v14 = e0) | (v0 = e1 & ~ (unit = e0))) & ( ~ % 78.64/11.51 (v11 = e0) | ~ (unit = e0)) & ( ~ (v8 = e0) | ~ (unit = e0)) & ( ~ % 78.64/11.51 (v5 = e0) | ~ (unit = e0)) & ( ~ (v2 = e0) | ~ (unit = e0)) & ( ~ % 78.64/11.51 (v0 = e0) | ~ (unit = e0))))) % 78.64/11.51 % 78.64/11.51 (function-axioms) % 78.64/11.51 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3, % 78.64/11.51 v2) = v1) | ~ (op(v3, v2) = v0)) % 78.64/11.51 % 78.64/11.51 Further assumptions not needed in the proof: % 78.64/11.51 -------------------------------------------- % 78.64/11.51 ax2, ax5 % 78.64/11.51 % 78.64/11.51 Those formulas are unsatisfiable: % 78.64/11.51 --------------------------------- % 78.64/11.51 % 78.64/11.51 Begin of proof % 78.64/11.51 | % 78.64/11.51 | ALPHA: (ax1) implies: % 79.31/11.52 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 79.31/11.52 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 79.31/11.52 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 79.31/11.52 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: % 79.31/11.52 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? % 79.31/11.52 | [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = v22 & % 79.31/11.52 | op(e4, e1) = v21 & op(e4, e0) = v20 & op(e3, e4) = v19 & op(e3, e3) = % 79.31/11.52 | v18 & op(e3, e2) = v17 & op(e3, e1) = v16 & op(e3, e0) = v15 & op(e2, % 79.31/11.52 | e4) = v14 & op(e2, e3) = v13 & op(e2, e2) = v12 & op(e2, e1) = v11 % 79.31/11.52 | & op(e2, e0) = v10 & op(e1, e4) = v9 & op(e1, e3) = v8 & op(e1, e2) = % 79.31/11.52 | v7 & op(e1, e1) = v6 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, e3) % 79.31/11.52 | = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v24) % 79.31/11.52 | & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) % 79.31/11.52 | & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) % 79.31/11.52 | & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & % 79.31/11.52 | $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v24 = e3 | v24 = e2 | v24 = e1 % 79.31/11.52 | | v24 = e0) & (v23 = e4 | v23 = e3 | v23 = e2 | v23 = e1 | v23 = % 79.31/11.52 | e0) & (v22 = e4 | v22 = e3 | v22 = e2 | v22 = e1 | v22 = e0) & (v21 % 79.31/11.52 | = e4 | v21 = e3 | v21 = e2 | v21 = e1 | v21 = e0) & (v20 = e4 | v20 % 79.31/11.52 | = e3 | v20 = e2 | v20 = e1 | v20 = e0) & (v19 = e4 | v19 = e3 | v19 % 79.31/11.52 | = e2 | v19 = e1 | v19 = e0) & (v18 = e4 | v18 = e3 | v18 = e2 | v18 % 79.31/11.52 | = e1 | v18 = e0) & (v17 = e4 | v17 = e3 | v17 = e2 | v17 = e1 | v17 % 79.31/11.52 | = e0) & (v16 = e4 | v16 = e3 | v16 = e2 | v16 = e1 | v16 = e0) & % 79.31/11.52 | (v15 = e4 | v15 = e3 | v15 = e2 | v15 = e1 | v15 = e0) & (v14 = e4 | % 79.31/11.52 | v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e4 | v13 = e3 | % 79.31/11.52 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e4 | v12 = e3 | v12 = e2 | % 79.31/11.52 | v12 = e1 | v12 = e0) & (v11 = e4 | v11 = e3 | v11 = e2 | v11 = e1 | % 79.31/11.52 | v11 = e0) & (v10 = e4 | v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) % 79.31/11.52 | & (v9 = e4 | v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e4 | v8 = % 79.31/11.52 | e3 | v8 = e2 | v8 = e1 | v8 = e0) & (v7 = e4 | v7 = e3 | v7 = e2 | % 79.31/11.52 | v7 = e1 | v7 = e0) & (v6 = e4 | v6 = e3 | v6 = e2 | v6 = e1 | v6 = % 79.31/11.52 | e0) & (v5 = e4 | v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) & (v4 = e4 % 79.31/11.52 | | v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e4 | v3 = e3 | v3 % 79.31/11.52 | = e2 | v3 = e1 | v3 = e0) & (v2 = e4 | v2 = e3 | v2 = e2 | v2 = e1 % 79.31/11.52 | | v2 = e0) & (v1 = e4 | v1 = e3 | v1 = e2 | v1 = e1 | v1 = e0) & % 79.31/11.52 | (v0 = e4 | v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0)) % 79.31/11.52 | % 79.31/11.52 | ALPHA: (ax3) implies: % 79.31/11.53 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 79.31/11.53 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 79.31/11.53 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 79.31/11.53 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: % 79.31/11.53 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? % 79.31/11.53 | [v24: $i] : (op(e4, e4) = v24 & op(e4, e3) = v23 & op(e4, e2) = v20 & % 79.31/11.53 | op(e4, e1) = v15 & op(e4, e0) = v8 & op(e3, e4) = v22 & op(e3, e3) = % 79.31/11.53 | v21 & op(e3, e2) = v19 & op(e3, e1) = v14 & op(e3, e0) = v7 & op(e2, % 79.31/11.53 | e4) = v18 & op(e2, e3) = v17 & op(e2, e2) = v16 & op(e2, e1) = v13 % 79.31/11.53 | & op(e2, e0) = v6 & op(e1, e4) = v12 & op(e1, e3) = v11 & op(e1, e2) % 79.31/11.53 | = v10 & op(e1, e1) = v9 & op(e1, e0) = v5 & op(e0, e4) = v4 & op(e0, % 79.31/11.53 | e3) = v3 & op(e0, e2) = v2 & op(e0, e1) = v1 & op(e0, e0) = v0 & % 79.31/11.53 | $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & % 79.31/11.53 | $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & % 79.31/11.53 | $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 79.31/11.53 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v24 = e4 | v23 = e4 | v20 = e4 | % 79.31/11.53 | v15 = e4 | v8 = e4) & (v24 = e4 | v22 = e4 | v18 = e4 | v12 = e4 | % 79.31/11.53 | v4 = e4) & (v24 = e3 | v23 = e3 | v20 = e3 | v15 = e3 | v8 = e3) & % 79.31/11.53 | (v24 = e3 | v22 = e3 | v18 = e3 | v12 = e3 | v4 = e3) & (v24 = e2 | % 79.31/11.53 | v23 = e2 | v20 = e2 | v15 = e2 | v8 = e2) & (v24 = e2 | v22 = e2 | % 79.31/11.53 | v18 = e2 | v12 = e2 | v4 = e2) & (v24 = e1 | v23 = e1 | v20 = e1 | % 79.31/11.53 | v15 = e1 | v8 = e1) & (v24 = e1 | v22 = e1 | v18 = e1 | v12 = e1 | % 79.31/11.53 | v4 = e1) & (v24 = e0 | v23 = e0 | v20 = e0 | v15 = e0 | v8 = e0) & % 79.31/11.53 | (v24 = e0 | v22 = e0 | v18 = e0 | v12 = e0 | v4 = e0) & (v23 = e4 | % 79.31/11.53 | v21 = e4 | v17 = e4 | v11 = e4 | v3 = e4) & (v23 = e3 | v21 = e3 | % 79.31/11.53 | v17 = e3 | v11 = e3 | v3 = e3) & (v23 = e2 | v21 = e2 | v17 = e2 | % 79.31/11.53 | v11 = e2 | v3 = e2) & (v23 = e1 | v21 = e1 | v17 = e1 | v11 = e1 | % 79.31/11.53 | v3 = e1) & (v23 = e0 | v21 = e0 | v17 = e0 | v11 = e0 | v3 = e0) & % 79.31/11.53 | (v22 = e4 | v21 = e4 | v19 = e4 | v14 = e4 | v7 = e4) & (v22 = e3 | % 79.31/11.53 | v21 = e3 | v19 = e3 | v14 = e3 | v7 = e3) & (v22 = e2 | v21 = e2 | % 79.31/11.53 | v19 = e2 | v14 = e2 | v7 = e2) & (v22 = e1 | v21 = e1 | v19 = e1 | % 79.31/11.53 | v14 = e1 | v7 = e1) & (v22 = e0 | v21 = e0 | v19 = e0 | v14 = e0 | % 79.31/11.53 | v7 = e0) & (v20 = e4 | v19 = e4 | v16 = e4 | v10 = e4 | v2 = e4) & % 79.31/11.53 | (v20 = e3 | v19 = e3 | v16 = e3 | v10 = e3 | v2 = e3) & (v20 = e2 | % 79.31/11.53 | v19 = e2 | v16 = e2 | v10 = e2 | v2 = e2) & (v20 = e1 | v19 = e1 | % 79.31/11.53 | v16 = e1 | v10 = e1 | v2 = e1) & (v20 = e0 | v19 = e0 | v16 = e0 | % 79.31/11.53 | v10 = e0 | v2 = e0) & (v18 = e4 | v17 = e4 | v16 = e4 | v13 = e4 | % 79.31/11.53 | v6 = e4) & (v18 = e3 | v17 = e3 | v16 = e3 | v13 = e3 | v6 = e3) & % 79.31/11.53 | (v18 = e2 | v17 = e2 | v16 = e2 | v13 = e2 | v6 = e2) & (v18 = e1 | % 79.31/11.53 | v17 = e1 | v16 = e1 | v13 = e1 | v6 = e1) & (v18 = e0 | v17 = e0 | % 79.31/11.53 | v16 = e0 | v13 = e0 | v6 = e0) & (v15 = e4 | v14 = e4 | v13 = e4 | % 79.31/11.53 | v9 = e4 | v1 = e4) & (v15 = e3 | v14 = e3 | v13 = e3 | v9 = e3 | v1 % 79.31/11.53 | = e3) & (v15 = e2 | v14 = e2 | v13 = e2 | v9 = e2 | v1 = e2) & (v15 % 79.31/11.53 | = e1 | v14 = e1 | v13 = e1 | v9 = e1 | v1 = e1) & (v15 = e0 | v14 = % 79.31/11.53 | e0 | v13 = e0 | v9 = e0 | v1 = e0) & (v12 = e4 | v11 = e4 | v10 = % 79.31/11.53 | e4 | v9 = e4 | v5 = e4) & (v12 = e3 | v11 = e3 | v10 = e3 | v9 = e3 % 79.31/11.53 | | v5 = e3) & (v12 = e2 | v11 = e2 | v10 = e2 | v9 = e2 | v5 = e2) & % 79.31/11.53 | (v12 = e1 | v11 = e1 | v10 = e1 | v9 = e1 | v5 = e1) & (v12 = e0 | % 79.31/11.53 | v11 = e0 | v10 = e0 | v9 = e0 | v5 = e0) & (v8 = e4 | v7 = e4 | v6 % 79.31/11.53 | = e4 | v5 = e4 | v0 = e4) & (v8 = e3 | v7 = e3 | v6 = e3 | v5 = e3 % 79.31/11.53 | | v0 = e3) & (v8 = e2 | v7 = e2 | v6 = e2 | v5 = e2 | v0 = e2) & % 79.31/11.53 | (v8 = e1 | v7 = e1 | v6 = e1 | v5 = e1 | v0 = e1) & (v4 = e4 | v3 = % 79.31/11.53 | e4 | v2 = e4 | v1 = e4 | v0 = e4) & (v4 = e3 | v3 = e3 | v2 = e3 | % 79.31/11.53 | v1 = e3 | v0 = e3) & (v4 = e2 | v3 = e2 | v2 = e2 | v1 = e2 | v0 = % 79.31/11.53 | e2) & (v4 = e1 | v3 = e1 | v2 = e1 | v1 = e1 | v0 = e1) & (v0 = e0 % 79.31/11.53 | | ((v8 = e0 | v7 = e0 | v6 = e0 | v5 = e0) & (v4 = e0 | v3 = e0 | % 79.31/11.53 | v2 = e0 | v1 = e0)))) % 79.31/11.53 | % 79.31/11.53 | ALPHA: (ax4) implies: % 79.31/11.54 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 79.31/11.54 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 79.31/11.54 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 79.31/11.54 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: % 79.31/11.54 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? % 79.31/11.54 | [v24: $i] : ( ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v21) & ~ (v24 % 79.31/11.54 | = v20) & ~ (v24 = v19) & ~ (v24 = v14) & ~ (v24 = v9) & ~ (v24 % 79.31/11.54 | = v4) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~ (v23 % 79.31/11.54 | = v18) & ~ (v23 = v13) & ~ (v23 = v8) & ~ (v23 = v3) & ~ (v22 = % 79.31/11.54 | v21) & ~ (v22 = v20) & ~ (v22 = v17) & ~ (v22 = v12) & ~ (v22 = % 79.31/11.54 | v7) & ~ (v22 = v2) & ~ (v21 = v20) & ~ (v21 = v16) & ~ (v21 = % 79.31/11.54 | v11) & ~ (v21 = v6) & ~ (v21 = v1) & ~ (v20 = v15) & ~ (v20 = % 79.31/11.54 | v10) & ~ (v20 = v5) & ~ (v20 = v0) & ~ (v19 = v18) & ~ (v19 = % 79.31/11.54 | v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 = v14) & ~ (v19 = % 79.31/11.54 | v9) & ~ (v19 = v4) & ~ (v18 = v17) & ~ (v18 = v16) & ~ (v18 = % 79.31/11.54 | v15) & ~ (v18 = v13) & ~ (v18 = v8) & ~ (v18 = v3) & ~ (v17 = % 79.31/11.54 | v16) & ~ (v17 = v15) & ~ (v17 = v12) & ~ (v17 = v7) & ~ (v17 = % 79.31/11.54 | v2) & ~ (v16 = v15) & ~ (v16 = v11) & ~ (v16 = v6) & ~ (v16 = % 79.31/11.54 | v1) & ~ (v15 = v10) & ~ (v15 = v5) & ~ (v15 = v0) & ~ (v14 = % 79.31/11.54 | v13) & ~ (v14 = v12) & ~ (v14 = v11) & ~ (v14 = v10) & ~ (v14 = % 79.31/11.54 | v9) & ~ (v14 = v4) & ~ (v13 = v12) & ~ (v13 = v11) & ~ (v13 = % 79.31/11.54 | v10) & ~ (v13 = v8) & ~ (v13 = v3) & ~ (v12 = v11) & ~ (v12 = % 79.31/11.54 | v10) & ~ (v12 = v7) & ~ (v12 = v2) & ~ (v11 = v10) & ~ (v11 = % 79.31/11.54 | v6) & ~ (v11 = v1) & ~ (v10 = v5) & ~ (v10 = v0) & ~ (v9 = v8) % 79.31/11.54 | & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = v4) & ~ (v8 % 79.31/11.54 | = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v3) & ~ (v7 = v6) & % 79.31/11.54 | ~ (v7 = v5) & ~ (v7 = v2) & ~ (v6 = v5) & ~ (v6 = v1) & ~ (v5 = % 79.31/11.54 | v0) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v4 = v0) & % 79.31/11.54 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = % 79.31/11.54 | v0) & ~ (v1 = v0) & op(e4, e4) = v24 & op(e4, e3) = v19 & op(e4, % 79.31/11.54 | e2) = v14 & op(e4, e1) = v9 & op(e4, e0) = v4 & op(e3, e4) = v23 & % 79.31/11.54 | op(e3, e3) = v18 & op(e3, e2) = v13 & op(e3, e1) = v8 & op(e3, e0) = % 79.31/11.54 | v3 & op(e2, e4) = v22 & op(e2, e3) = v17 & op(e2, e2) = v12 & op(e2, % 79.31/11.54 | e1) = v7 & op(e2, e0) = v2 & op(e1, e4) = v21 & op(e1, e3) = v16 & % 79.31/11.54 | op(e1, e2) = v11 & op(e1, e1) = v6 & op(e1, e0) = v1 & op(e0, e4) = % 79.31/11.54 | v20 & op(e0, e3) = v15 & op(e0, e2) = v10 & op(e0, e1) = v5 & op(e0, % 79.31/11.54 | e0) = v0 & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & % 79.31/11.54 | $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & % 79.31/11.54 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 79.31/11.54 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 79.31/11.54 | % 79.31/11.54 | ALPHA: (ax6) implies: % 79.31/11.54 | (4) op(e2, e2) = e4 % 79.31/11.54 | (5) op(e2, e4) = e3 % 79.31/11.54 | (6) op(e3, e4) = e1 % 79.31/11.54 | (7) op(e4, e4) = e0 % 79.31/11.54 | % 79.31/11.54 | ALPHA: (co1) implies: % 79.31/11.56 | (8) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 79.31/11.56 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 79.31/11.56 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 79.31/11.56 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: % 79.31/11.56 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? % 79.31/11.56 | [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : % 79.31/11.56 | ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? [v33: % 79.31/11.56 | $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] : ? % 79.31/11.56 | [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: $i] : % 79.31/11.56 | ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? [v47: % 79.31/11.56 | $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] : ? % 79.31/11.56 | [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: $i] : % 79.31/11.56 | ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? [v61: % 79.31/11.56 | $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i] : ? % 79.31/11.56 | [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : (op(e4, v68) = % 79.31/11.56 | v69 & op(e4, v65) = v67 & op(e4, v62) = v64 & op(e4, v59) = v61 & % 79.31/11.56 | op(e4, v56) = v58 & op(e4, v53) = v54 & op(e4, v39) = v40 & op(e4, % 79.31/11.56 | v25) = v26 & op(e4, v11) = v12 & op(e4, e4) = v68 & op(e4, e3) = % 79.31/11.56 | v53 & op(e4, e2) = v39 & op(e4, e1) = v25 & op(e4, e0) = v11 & op(e3, % 79.31/11.56 | v65) = v66 & op(e3, v53) = v55 & op(e3, v51) = v52 & op(e3, v48) = % 79.31/11.56 | v50 & op(e3, v45) = v47 & op(e3, v42) = v44 & op(e3, v36) = v37 & % 79.31/11.56 | op(e3, v22) = v23 & op(e3, v8) = v9 & op(e3, e4) = v65 & op(e3, e3) = % 79.31/11.56 | v51 & op(e3, e2) = v36 & op(e3, e1) = v22 & op(e3, e0) = v8 & op(e2, % 79.31/11.56 | v62) = v63 & op(e2, v48) = v49 & op(e2, v39) = v41 & op(e2, v36) = % 79.31/11.56 | v38 & op(e2, v34) = v35 & op(e2, v31) = v33 & op(e2, v28) = v30 & % 79.31/11.56 | op(e2, v19) = v20 & op(e2, v5) = v6 & op(e2, e4) = v62 & op(e2, e3) = % 79.31/11.56 | v48 & op(e2, e2) = v34 & op(e2, e1) = v19 & op(e2, e0) = v5 & op(e1, % 79.31/11.56 | v59) = v60 & op(e1, v45) = v46 & op(e1, v31) = v32 & op(e1, v25) = % 79.31/11.56 | v27 & op(e1, v22) = v24 & op(e1, v19) = v21 & op(e1, v17) = v18 & % 79.31/11.56 | op(e1, v14) = v16 & op(e1, v2) = v3 & op(e1, e4) = v59 & op(e1, e3) = % 79.31/11.56 | v45 & op(e1, e2) = v31 & op(e1, e1) = v17 & op(e1, e0) = v2 & op(e0, % 79.31/11.56 | v56) = v57 & op(e0, v42) = v43 & op(e0, v28) = v29 & op(e0, v14) = % 79.31/11.56 | v15 & op(e0, v11) = v13 & op(e0, v8) = v10 & op(e0, v5) = v7 & op(e0, % 79.31/11.56 | v2) = v4 & op(e0, v0) = v1 & op(e0, e4) = v56 & op(e0, e3) = v42 & % 79.31/11.56 | op(e0, e2) = v28 & op(e0, e1) = v14 & op(e0, e0) = v0 & $i(v69) & % 79.31/11.56 | $i(v68) & $i(v67) & $i(v66) & $i(v65) & $i(v64) & $i(v63) & $i(v62) & % 79.31/11.56 | $i(v61) & $i(v60) & $i(v59) & $i(v58) & $i(v57) & $i(v56) & $i(v55) & % 79.31/11.56 | $i(v54) & $i(v53) & $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) & % 79.31/11.56 | $i(v47) & $i(v46) & $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & % 79.31/11.56 | $i(v40) & $i(v39) & $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) & % 79.31/11.56 | $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & % 79.31/11.56 | $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & % 79.31/11.56 | $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & % 79.31/11.56 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 79.31/11.56 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((v67 = e3 & ~ % 79.31/11.56 | (v66 = e4)) | (v64 = e2 & ~ (v63 = e4)) | (v61 = e1 & ~ (v60 = % 79.31/11.56 | e4)) | (v58 = e0 & ~ (v57 = e4))) & ((v55 = e4 & ~ (v54 = % 79.31/11.56 | e3)) | (v50 = e2 & ~ (v49 = e3)) | (v47 = e1 & ~ (v46 = e3)) % 79.31/11.56 | | (v44 = e0 & ~ (v43 = e3))) & ((v41 = e4 & ~ (v40 = e2)) | (v38 % 79.31/11.56 | = e3 & ~ (v37 = e2)) | (v33 = e1 & ~ (v32 = e2)) | (v30 = e0 & % 79.31/11.56 | ~ (v29 = e2))) & ((v27 = e4 & ~ (v26 = e1)) | (v24 = e3 & ~ % 79.31/11.56 | (v23 = e1)) | (v21 = e2 & ~ (v20 = e1)) | (v16 = e0 & ~ (v15 = % 79.31/11.56 | e1))) & ((v13 = e4 & ~ (v12 = e0)) | (v10 = e3 & ~ (v9 = e0)) % 79.31/11.56 | | (v7 = e2 & ~ (v6 = e0)) | (v4 = e1 & ~ (v3 = e0))) & ((( ~ (v68 % 79.31/11.56 | = e4) | ~ (unit = e4)) & ( ~ (v65 = e4) | ~ (unit = e4)) & % 79.31/11.56 | ( ~ (v62 = e4) | ~ (unit = e4)) & ( ~ (v59 = e4) | ~ (unit = % 79.31/11.56 | e4)) & ( ~ (v56 = e4) | ~ (unit = e4)) & ( ~ (v53 = e4) | % 79.31/11.56 | (v68 = e3 & ~ (unit = e4))) & ( ~ (v51 = e4) | (v65 = e3 & ~ % 79.31/11.56 | (unit = e4))) & ( ~ (v48 = e4) | (v62 = e3 & ~ (unit = e4))) % 79.31/11.56 | & ( ~ (v45 = e4) | (v59 = e3 & ~ (unit = e4))) & ( ~ (v42 = e4) % 79.31/11.56 | | (v56 = e3 & ~ (unit = e4))) & ( ~ (v39 = e4) | (v68 = e2 & % 79.31/11.56 | ~ (unit = e4))) & ( ~ (v36 = e4) | (v65 = e2 & ~ (unit = % 79.31/11.56 | e4))) & ( ~ (v34 = e4) | (v62 = e2 & ~ (unit = e4))) & ( ~ % 79.31/11.56 | (v31 = e4) | (v59 = e2 & ~ (unit = e4))) & ( ~ (v28 = e4) | % 79.31/11.56 | (v56 = e2 & ~ (unit = e4))) & ( ~ (v25 = e4) | (v68 = e1 & ~ % 79.31/11.56 | (unit = e4))) & ( ~ (v22 = e4) | (v65 = e1 & ~ (unit = e4))) % 79.31/11.56 | & ( ~ (v19 = e4) | (v62 = e1 & ~ (unit = e4))) & ( ~ (v17 = e4) % 79.31/11.56 | | (v59 = e1 & ~ (unit = e4))) & ( ~ (v14 = e4) | (v56 = e1 & % 79.31/11.56 | ~ (unit = e4))) & ( ~ (v11 = e4) | (v68 = e0 & ~ (unit = % 79.31/11.56 | e4))) & ( ~ (v8 = e4) | (v65 = e0 & ~ (unit = e4))) & ( ~ % 79.31/11.56 | (v5 = e4) | (v62 = e0 & ~ (unit = e4))) & ( ~ (v2 = e4) | (v59 % 79.31/11.56 | = e0 & ~ (unit = e4))) & ( ~ (v0 = e4) | (v56 = e0 & ~ % 79.31/11.56 | (unit = e4)))) | (( ~ (v68 = e3) | (v53 = e4 & ~ (unit = % 79.31/11.56 | e3))) & ( ~ (v65 = e3) | (v51 = e4 & ~ (unit = e3))) & ( ~ % 79.31/11.56 | (v62 = e3) | (v48 = e4 & ~ (unit = e3))) & ( ~ (v59 = e3) | % 79.31/11.56 | (v45 = e4 & ~ (unit = e3))) & ( ~ (v56 = e3) | (v42 = e4 & ~ % 79.31/11.56 | (unit = e3))) & ( ~ (v53 = e3) | ~ (unit = e3)) & ( ~ (v51 = % 79.31/11.56 | e3) | ~ (unit = e3)) & ( ~ (v48 = e3) | ~ (unit = e3)) & ( % 79.31/11.56 | ~ (v45 = e3) | ~ (unit = e3)) & ( ~ (v42 = e3) | ~ (unit = % 79.31/11.56 | e3)) & ( ~ (v39 = e3) | (v53 = e2 & ~ (unit = e3))) & ( ~ % 79.31/11.56 | (v36 = e3) | (v51 = e2 & ~ (unit = e3))) & ( ~ (v34 = e3) | % 79.31/11.56 | (v48 = e2 & ~ (unit = e3))) & ( ~ (v31 = e3) | (v45 = e2 & ~ % 79.31/11.56 | (unit = e3))) & ( ~ (v28 = e3) | (v42 = e2 & ~ (unit = e3))) % 79.31/11.56 | & ( ~ (v25 = e3) | (v53 = e1 & ~ (unit = e3))) & ( ~ (v22 = e3) % 79.31/11.56 | | (v51 = e1 & ~ (unit = e3))) & ( ~ (v19 = e3) | (v48 = e1 & % 79.31/11.56 | ~ (unit = e3))) & ( ~ (v17 = e3) | (v45 = e1 & ~ (unit = % 79.31/11.56 | e3))) & ( ~ (v14 = e3) | (v42 = e1 & ~ (unit = e3))) & ( ~ % 79.31/11.56 | (v11 = e3) | (v53 = e0 & ~ (unit = e3))) & ( ~ (v8 = e3) | % 79.31/11.56 | (v51 = e0 & ~ (unit = e3))) & ( ~ (v5 = e3) | (v48 = e0 & ~ % 79.31/11.56 | (unit = e3))) & ( ~ (v2 = e3) | (v45 = e0 & ~ (unit = e3))) % 79.31/11.56 | & ( ~ (v0 = e3) | (v42 = e0 & ~ (unit = e3)))) | (( ~ (v68 = e2) % 79.31/11.56 | | (v39 = e4 & ~ (unit = e2))) & ( ~ (v65 = e2) | (v36 = e4 & % 79.31/11.56 | ~ (unit = e2))) & ( ~ (v62 = e2) | (v34 = e4 & ~ (unit = % 79.31/11.56 | e2))) & ( ~ (v59 = e2) | (v31 = e4 & ~ (unit = e2))) & ( ~ % 79.31/11.56 | (v56 = e2) | (v28 = e4 & ~ (unit = e2))) & ( ~ (v53 = e2) | % 79.31/11.56 | (v39 = e3 & ~ (unit = e2))) & ( ~ (v51 = e2) | (v36 = e3 & ~ % 79.31/11.56 | (unit = e2))) & ( ~ (v48 = e2) | (v34 = e3 & ~ (unit = e2))) % 79.31/11.56 | & ( ~ (v45 = e2) | (v31 = e3 & ~ (unit = e2))) & ( ~ (v42 = e2) % 79.31/11.56 | | (v28 = e3 & ~ (unit = e2))) & ( ~ (v39 = e2) | ~ (unit = % 79.31/11.56 | e2)) & ( ~ (v36 = e2) | ~ (unit = e2)) & ( ~ (v34 = e2) | ~ % 79.31/11.56 | (unit = e2)) & ( ~ (v31 = e2) | ~ (unit = e2)) & ( ~ (v28 = % 79.31/11.56 | e2) | ~ (unit = e2)) & ( ~ (v25 = e2) | (v39 = e1 & ~ (unit % 79.31/11.56 | = e2))) & ( ~ (v22 = e2) | (v36 = e1 & ~ (unit = e2))) & ( % 79.31/11.56 | ~ (v19 = e2) | (v34 = e1 & ~ (unit = e2))) & ( ~ (v17 = e2) | % 79.31/11.56 | (v31 = e1 & ~ (unit = e2))) & ( ~ (v14 = e2) | (v28 = e1 & ~ % 79.31/11.56 | (unit = e2))) & ( ~ (v11 = e2) | (v39 = e0 & ~ (unit = e2))) % 79.31/11.56 | & ( ~ (v8 = e2) | (v36 = e0 & ~ (unit = e2))) & ( ~ (v5 = e2) | % 79.31/11.56 | (v34 = e0 & ~ (unit = e2))) & ( ~ (v2 = e2) | (v31 = e0 & ~ % 79.31/11.56 | (unit = e2))) & ( ~ (v0 = e2) | (v28 = e0 & ~ (unit = e2)))) % 79.31/11.56 | | (( ~ (v68 = e1) | (v25 = e4 & ~ (unit = e1))) & ( ~ (v65 = e1) | % 79.31/11.56 | (v22 = e4 & ~ (unit = e1))) & ( ~ (v62 = e1) | (v19 = e4 & ~ % 79.31/11.56 | (unit = e1))) & ( ~ (v59 = e1) | (v17 = e4 & ~ (unit = e1))) % 79.31/11.56 | & ( ~ (v56 = e1) | (v14 = e4 & ~ (unit = e1))) & ( ~ (v53 = e1) % 79.31/11.56 | | (v25 = e3 & ~ (unit = e1))) & ( ~ (v51 = e1) | (v22 = e3 & % 79.31/11.56 | ~ (unit = e1))) & ( ~ (v48 = e1) | (v19 = e3 & ~ (unit = % 79.31/11.56 | e1))) & ( ~ (v45 = e1) | (v17 = e3 & ~ (unit = e1))) & ( ~ % 79.31/11.56 | (v42 = e1) | (v14 = e3 & ~ (unit = e1))) & ( ~ (v39 = e1) | % 79.31/11.56 | (v25 = e2 & ~ (unit = e1))) & ( ~ (v36 = e1) | (v22 = e2 & ~ % 79.31/11.56 | (unit = e1))) & ( ~ (v34 = e1) | (v19 = e2 & ~ (unit = e1))) % 79.31/11.56 | & ( ~ (v31 = e1) | (v17 = e2 & ~ (unit = e1))) & ( ~ (v28 = e1) % 79.31/11.56 | | (v14 = e2 & ~ (unit = e1))) & ( ~ (v25 = e1) | ~ (unit = % 79.31/11.56 | e1)) & ( ~ (v22 = e1) | ~ (unit = e1)) & ( ~ (v19 = e1) | ~ % 79.31/11.56 | (unit = e1)) & ( ~ (v17 = e1) | ~ (unit = e1)) & ( ~ (v14 = % 79.31/11.56 | e1) | ~ (unit = e1)) & ( ~ (v11 = e1) | (v25 = e0 & ~ (unit % 79.31/11.56 | = e1))) & ( ~ (v8 = e1) | (v22 = e0 & ~ (unit = e1))) & ( % 79.31/11.56 | ~ (v5 = e1) | (v19 = e0 & ~ (unit = e1))) & ( ~ (v2 = e1) | % 79.31/11.56 | (v17 = e0 & ~ (unit = e1))) & ( ~ (v0 = e1) | (v14 = e0 & ~ % 79.31/11.56 | (unit = e1)))) | (( ~ (v68 = e0) | (v11 = e4 & ~ (unit = % 79.31/11.56 | e0))) & ( ~ (v65 = e0) | (v8 = e4 & ~ (unit = e0))) & ( ~ % 79.31/11.56 | (v62 = e0) | (v5 = e4 & ~ (unit = e0))) & ( ~ (v59 = e0) | (v2 % 79.31/11.56 | = e4 & ~ (unit = e0))) & ( ~ (v56 = e0) | (v0 = e4 & ~ % 79.31/11.56 | (unit = e0))) & ( ~ (v53 = e0) | (v11 = e3 & ~ (unit = e0))) % 79.31/11.56 | & ( ~ (v51 = e0) | (v8 = e3 & ~ (unit = e0))) & ( ~ (v48 = e0) | % 79.31/11.56 | (v5 = e3 & ~ (unit = e0))) & ( ~ (v45 = e0) | (v2 = e3 & ~ % 79.31/11.56 | (unit = e0))) & ( ~ (v42 = e0) | (v0 = e3 & ~ (unit = e0))) % 79.31/11.56 | & ( ~ (v39 = e0) | (v11 = e2 & ~ (unit = e0))) & ( ~ (v36 = e0) % 79.31/11.56 | | (v8 = e2 & ~ (unit = e0))) & ( ~ (v34 = e0) | (v5 = e2 & ~ % 79.31/11.56 | (unit = e0))) & ( ~ (v31 = e0) | (v2 = e2 & ~ (unit = e0))) % 79.31/11.56 | & ( ~ (v28 = e0) | (v0 = e2 & ~ (unit = e0))) & ( ~ (v25 = e0) | % 79.31/11.56 | (v11 = e1 & ~ (unit = e0))) & ( ~ (v22 = e0) | (v8 = e1 & ~ % 79.31/11.56 | (unit = e0))) & ( ~ (v19 = e0) | (v5 = e1 & ~ (unit = e0))) % 79.31/11.56 | & ( ~ (v17 = e0) | (v2 = e1 & ~ (unit = e0))) & ( ~ (v14 = e0) | % 79.31/11.56 | (v0 = e1 & ~ (unit = e0))) & ( ~ (v11 = e0) | ~ (unit = e0)) % 79.31/11.56 | & ( ~ (v8 = e0) | ~ (unit = e0)) & ( ~ (v5 = e0) | ~ (unit = % 79.31/11.56 | e0)) & ( ~ (v2 = e0) | ~ (unit = e0)) & ( ~ (v0 = e0) | ~ % 79.31/11.56 | (unit = e0))))) % 79.31/11.56 | % 79.31/11.56 | DELTA: instantiating (3) with fresh symbols all_4_0, all_4_1, all_4_2, % 79.31/11.56 | all_4_3, all_4_4, all_4_5, all_4_6, all_4_7, all_4_8, all_4_9, % 79.31/11.56 | all_4_10, all_4_11, all_4_12, all_4_13, all_4_14, all_4_15, all_4_16, % 79.31/11.56 | all_4_17, all_4_18, all_4_19, all_4_20, all_4_21, all_4_22, all_4_23, % 79.31/11.56 | all_4_24 gives: % 79.31/11.57 | (9) ~ (all_4_0 = all_4_1) & ~ (all_4_0 = all_4_2) & ~ (all_4_0 = % 79.31/11.57 | all_4_3) & ~ (all_4_0 = all_4_4) & ~ (all_4_0 = all_4_5) & ~ % 79.31/11.57 | (all_4_0 = all_4_10) & ~ (all_4_0 = all_4_15) & ~ (all_4_0 = % 79.31/11.57 | all_4_20) & ~ (all_4_1 = all_4_2) & ~ (all_4_1 = all_4_3) & ~ % 79.31/11.57 | (all_4_1 = all_4_4) & ~ (all_4_1 = all_4_6) & ~ (all_4_1 = all_4_11) % 79.31/11.57 | & ~ (all_4_1 = all_4_16) & ~ (all_4_1 = all_4_21) & ~ (all_4_2 = % 79.31/11.57 | all_4_3) & ~ (all_4_2 = all_4_4) & ~ (all_4_2 = all_4_7) & ~ % 79.31/11.57 | (all_4_2 = all_4_12) & ~ (all_4_2 = all_4_17) & ~ (all_4_2 = % 79.31/11.57 | all_4_22) & ~ (all_4_3 = all_4_4) & ~ (all_4_3 = all_4_8) & ~ % 79.31/11.57 | (all_4_3 = all_4_13) & ~ (all_4_3 = all_4_18) & ~ (all_4_3 = % 79.31/11.57 | all_4_23) & ~ (all_4_4 = all_4_9) & ~ (all_4_4 = all_4_14) & ~ % 79.31/11.57 | (all_4_4 = all_4_19) & ~ (all_4_4 = all_4_24) & ~ (all_4_5 = all_4_6) % 79.31/11.57 | & ~ (all_4_5 = all_4_7) & ~ (all_4_5 = all_4_8) & ~ (all_4_5 = % 79.31/11.57 | all_4_9) & ~ (all_4_5 = all_4_10) & ~ (all_4_5 = all_4_15) & ~ % 79.31/11.57 | (all_4_5 = all_4_20) & ~ (all_4_6 = all_4_7) & ~ (all_4_6 = all_4_8) % 79.31/11.57 | & ~ (all_4_6 = all_4_9) & ~ (all_4_6 = all_4_11) & ~ (all_4_6 = % 79.31/11.57 | all_4_16) & ~ (all_4_6 = all_4_21) & ~ (all_4_7 = all_4_8) & ~ % 79.31/11.57 | (all_4_7 = all_4_9) & ~ (all_4_7 = all_4_12) & ~ (all_4_7 = all_4_17) % 79.31/11.57 | & ~ (all_4_7 = all_4_22) & ~ (all_4_8 = all_4_9) & ~ (all_4_8 = % 79.31/11.57 | all_4_13) & ~ (all_4_8 = all_4_18) & ~ (all_4_8 = all_4_23) & ~ % 79.31/11.57 | (all_4_9 = all_4_14) & ~ (all_4_9 = all_4_19) & ~ (all_4_9 = % 79.31/11.57 | all_4_24) & ~ (all_4_10 = all_4_11) & ~ (all_4_10 = all_4_12) & ~ % 79.31/11.57 | (all_4_10 = all_4_13) & ~ (all_4_10 = all_4_14) & ~ (all_4_10 = % 79.31/11.57 | all_4_15) & ~ (all_4_10 = all_4_20) & ~ (all_4_11 = all_4_12) & ~ % 79.31/11.57 | (all_4_11 = all_4_13) & ~ (all_4_11 = all_4_14) & ~ (all_4_11 = % 79.31/11.57 | all_4_16) & ~ (all_4_11 = all_4_21) & ~ (all_4_12 = all_4_13) & ~ % 79.31/11.57 | (all_4_12 = all_4_14) & ~ (all_4_12 = all_4_17) & ~ (all_4_12 = % 79.31/11.57 | all_4_22) & ~ (all_4_13 = all_4_14) & ~ (all_4_13 = all_4_18) & ~ % 79.31/11.57 | (all_4_13 = all_4_23) & ~ (all_4_14 = all_4_19) & ~ (all_4_14 = % 79.31/11.57 | all_4_24) & ~ (all_4_15 = all_4_16) & ~ (all_4_15 = all_4_17) & ~ % 79.31/11.57 | (all_4_15 = all_4_18) & ~ (all_4_15 = all_4_19) & ~ (all_4_15 = % 79.31/11.57 | all_4_20) & ~ (all_4_16 = all_4_17) & ~ (all_4_16 = all_4_18) & ~ % 79.31/11.57 | (all_4_16 = all_4_19) & ~ (all_4_16 = all_4_21) & ~ (all_4_17 = % 79.31/11.57 | all_4_18) & ~ (all_4_17 = all_4_19) & ~ (all_4_17 = all_4_22) & ~ % 79.31/11.57 | (all_4_18 = all_4_19) & ~ (all_4_18 = all_4_23) & ~ (all_4_19 = % 79.31/11.57 | all_4_24) & ~ (all_4_20 = all_4_21) & ~ (all_4_20 = all_4_22) & ~ % 79.31/11.57 | (all_4_20 = all_4_23) & ~ (all_4_20 = all_4_24) & ~ (all_4_21 = % 79.31/11.57 | all_4_22) & ~ (all_4_21 = all_4_23) & ~ (all_4_21 = all_4_24) & ~ % 79.31/11.57 | (all_4_22 = all_4_23) & ~ (all_4_22 = all_4_24) & ~ (all_4_23 = % 79.31/11.57 | all_4_24) & op(e4, e4) = all_4_0 & op(e4, e3) = all_4_5 & op(e4, e2) % 79.31/11.57 | = all_4_10 & op(e4, e1) = all_4_15 & op(e4, e0) = all_4_20 & op(e3, e4) % 79.31/11.57 | = all_4_1 & op(e3, e3) = all_4_6 & op(e3, e2) = all_4_11 & op(e3, e1) = % 79.31/11.57 | all_4_16 & op(e3, e0) = all_4_21 & op(e2, e4) = all_4_2 & op(e2, e3) = % 79.31/11.57 | all_4_7 & op(e2, e2) = all_4_12 & op(e2, e1) = all_4_17 & op(e2, e0) = % 79.31/11.57 | all_4_22 & op(e1, e4) = all_4_3 & op(e1, e3) = all_4_8 & op(e1, e2) = % 79.31/11.57 | all_4_13 & op(e1, e1) = all_4_18 & op(e1, e0) = all_4_23 & op(e0, e4) = % 79.31/11.57 | all_4_4 & op(e0, e3) = all_4_9 & op(e0, e2) = all_4_14 & op(e0, e1) = % 79.31/11.57 | all_4_19 & op(e0, e0) = all_4_24 & $i(all_4_0) & $i(all_4_1) & % 79.31/11.57 | $i(all_4_2) & $i(all_4_3) & $i(all_4_4) & $i(all_4_5) & $i(all_4_6) & % 79.31/11.57 | $i(all_4_7) & $i(all_4_8) & $i(all_4_9) & $i(all_4_10) & $i(all_4_11) & % 79.31/11.57 | $i(all_4_12) & $i(all_4_13) & $i(all_4_14) & $i(all_4_15) & % 79.31/11.57 | $i(all_4_16) & $i(all_4_17) & $i(all_4_18) & $i(all_4_19) & % 79.31/11.57 | $i(all_4_20) & $i(all_4_21) & $i(all_4_22) & $i(all_4_23) & % 79.31/11.57 | $i(all_4_24) % 79.31/11.57 | % 79.31/11.57 | ALPHA: (9) implies: % 79.31/11.57 | (10) ~ (all_4_23 = all_4_24) % 79.31/11.57 | (11) ~ (all_4_22 = all_4_24) % 79.31/11.57 | (12) ~ (all_4_22 = all_4_23) % 79.31/11.57 | (13) ~ (all_4_21 = all_4_24) % 79.31/11.57 | (14) ~ (all_4_21 = all_4_23) % 79.31/11.57 | (15) ~ (all_4_21 = all_4_22) % 79.31/11.57 | (16) ~ (all_4_20 = all_4_24) % 79.31/11.57 | (17) ~ (all_4_20 = all_4_23) % 79.31/11.57 | (18) ~ (all_4_20 = all_4_22) % 79.31/11.57 | (19) ~ (all_4_20 = all_4_21) % 79.31/11.57 | (20) ~ (all_4_19 = all_4_24) % 79.31/11.57 | (21) ~ (all_4_18 = all_4_23) % 79.31/11.57 | (22) ~ (all_4_18 = all_4_19) % 79.31/11.57 | (23) ~ (all_4_17 = all_4_22) % 79.31/11.57 | (24) ~ (all_4_17 = all_4_19) % 79.31/11.57 | (25) ~ (all_4_17 = all_4_18) % 79.31/11.57 | (26) ~ (all_4_16 = all_4_21) % 79.31/11.57 | (27) ~ (all_4_16 = all_4_19) % 79.31/11.57 | (28) ~ (all_4_16 = all_4_18) % 79.31/11.57 | (29) ~ (all_4_16 = all_4_17) % 79.31/11.57 | (30) ~ (all_4_15 = all_4_20) % 79.31/11.57 | (31) ~ (all_4_15 = all_4_19) % 79.31/11.57 | (32) ~ (all_4_15 = all_4_18) % 79.31/11.57 | (33) ~ (all_4_15 = all_4_17) % 79.31/11.57 | (34) ~ (all_4_15 = all_4_16) % 79.31/11.57 | (35) ~ (all_4_14 = all_4_24) % 79.31/11.57 | (36) ~ (all_4_14 = all_4_19) % 79.31/11.57 | (37) ~ (all_4_13 = all_4_23) % 79.31/11.57 | (38) ~ (all_4_13 = all_4_18) % 79.31/11.57 | (39) ~ (all_4_13 = all_4_14) % 79.31/11.57 | (40) ~ (all_4_12 = all_4_22) % 79.31/11.57 | (41) ~ (all_4_12 = all_4_17) % 79.31/11.57 | (42) ~ (all_4_12 = all_4_14) % 79.31/11.57 | (43) ~ (all_4_12 = all_4_13) % 79.31/11.57 | (44) ~ (all_4_11 = all_4_21) % 79.31/11.57 | (45) ~ (all_4_11 = all_4_16) % 79.31/11.57 | (46) ~ (all_4_11 = all_4_14) % 79.31/11.57 | (47) ~ (all_4_11 = all_4_13) % 79.31/11.57 | (48) ~ (all_4_11 = all_4_12) % 79.31/11.57 | (49) ~ (all_4_10 = all_4_20) % 79.31/11.57 | (50) ~ (all_4_10 = all_4_15) % 79.31/11.57 | (51) ~ (all_4_10 = all_4_14) % 79.31/11.57 | (52) ~ (all_4_10 = all_4_13) % 79.31/11.57 | (53) ~ (all_4_10 = all_4_12) % 79.31/11.57 | (54) ~ (all_4_10 = all_4_11) % 79.31/11.57 | (55) ~ (all_4_9 = all_4_24) % 79.31/11.57 | (56) ~ (all_4_9 = all_4_19) % 79.31/11.57 | (57) ~ (all_4_9 = all_4_14) % 79.31/11.57 | (58) ~ (all_4_8 = all_4_23) % 79.31/11.57 | (59) ~ (all_4_8 = all_4_18) % 79.31/11.57 | (60) ~ (all_4_8 = all_4_13) % 79.31/11.57 | (61) ~ (all_4_8 = all_4_9) % 79.31/11.57 | (62) ~ (all_4_7 = all_4_22) % 79.31/11.57 | (63) ~ (all_4_7 = all_4_17) % 79.31/11.57 | (64) ~ (all_4_7 = all_4_12) % 79.31/11.57 | (65) ~ (all_4_7 = all_4_9) % 79.31/11.57 | (66) ~ (all_4_7 = all_4_8) % 79.31/11.57 | (67) ~ (all_4_6 = all_4_21) % 79.31/11.58 | (68) ~ (all_4_6 = all_4_16) % 79.31/11.58 | (69) ~ (all_4_6 = all_4_11) % 79.31/11.58 | (70) ~ (all_4_6 = all_4_9) % 79.31/11.58 | (71) ~ (all_4_6 = all_4_8) % 79.31/11.58 | (72) ~ (all_4_6 = all_4_7) % 79.31/11.58 | (73) ~ (all_4_5 = all_4_20) % 79.31/11.58 | (74) ~ (all_4_5 = all_4_15) % 79.31/11.58 | (75) ~ (all_4_5 = all_4_10) % 79.31/11.58 | (76) ~ (all_4_5 = all_4_9) % 79.31/11.58 | (77) ~ (all_4_5 = all_4_8) % 79.31/11.58 | (78) ~ (all_4_5 = all_4_7) % 79.31/11.58 | (79) ~ (all_4_5 = all_4_6) % 79.31/11.58 | (80) ~ (all_4_4 = all_4_24) % 79.31/11.58 | (81) ~ (all_4_4 = all_4_19) % 79.31/11.58 | (82) ~ (all_4_4 = all_4_14) % 79.31/11.58 | (83) ~ (all_4_4 = all_4_9) % 79.31/11.58 | (84) ~ (all_4_3 = all_4_23) % 79.31/11.58 | (85) ~ (all_4_3 = all_4_18) % 79.31/11.58 | (86) ~ (all_4_3 = all_4_13) % 79.31/11.58 | (87) ~ (all_4_3 = all_4_8) % 79.31/11.58 | (88) ~ (all_4_3 = all_4_4) % 79.31/11.58 | (89) ~ (all_4_2 = all_4_22) % 79.31/11.58 | (90) ~ (all_4_2 = all_4_17) % 79.31/11.58 | (91) ~ (all_4_2 = all_4_7) % 79.31/11.58 | (92) ~ (all_4_2 = all_4_4) % 79.31/11.58 | (93) ~ (all_4_2 = all_4_3) % 79.31/11.58 | (94) ~ (all_4_1 = all_4_21) % 79.31/11.58 | (95) ~ (all_4_1 = all_4_16) % 79.31/11.58 | (96) ~ (all_4_1 = all_4_11) % 79.31/11.58 | (97) ~ (all_4_1 = all_4_6) % 79.31/11.58 | (98) ~ (all_4_1 = all_4_4) % 79.31/11.58 | (99) ~ (all_4_1 = all_4_3) % 79.31/11.58 | (100) ~ (all_4_0 = all_4_20) % 79.31/11.58 | (101) ~ (all_4_0 = all_4_15) % 79.31/11.58 | (102) ~ (all_4_0 = all_4_10) % 79.31/11.58 | (103) ~ (all_4_0 = all_4_5) % 79.31/11.58 | (104) ~ (all_4_0 = all_4_4) % 79.31/11.58 | (105) ~ (all_4_0 = all_4_3) % 79.31/11.58 | (106) ~ (all_4_0 = all_4_2) % 79.31/11.58 | (107) ~ (all_4_0 = all_4_1) % 79.31/11.58 | (108) op(e0, e0) = all_4_24 % 79.31/11.58 | (109) op(e0, e1) = all_4_19 % 79.31/11.58 | (110) op(e0, e2) = all_4_14 % 79.31/11.58 | (111) op(e0, e3) = all_4_9 % 79.31/11.58 | (112) op(e0, e4) = all_4_4 % 79.31/11.58 | (113) op(e1, e0) = all_4_23 % 79.31/11.58 | (114) op(e1, e1) = all_4_18 % 79.31/11.58 | (115) op(e1, e2) = all_4_13 % 79.31/11.58 | (116) op(e1, e3) = all_4_8 % 79.31/11.58 | (117) op(e1, e4) = all_4_3 % 79.31/11.58 | (118) op(e2, e0) = all_4_22 % 79.31/11.58 | (119) op(e2, e1) = all_4_17 % 79.31/11.58 | (120) op(e2, e2) = all_4_12 % 79.31/11.58 | (121) op(e2, e3) = all_4_7 % 79.31/11.58 | (122) op(e2, e4) = all_4_2 % 79.31/11.58 | (123) op(e3, e0) = all_4_21 % 79.31/11.58 | (124) op(e3, e1) = all_4_16 % 79.31/11.58 | (125) op(e3, e2) = all_4_11 % 79.31/11.58 | (126) op(e3, e3) = all_4_6 % 79.31/11.58 | (127) op(e3, e4) = all_4_1 % 79.31/11.58 | (128) op(e4, e0) = all_4_20 % 79.31/11.58 | (129) op(e4, e1) = all_4_15 % 79.31/11.58 | (130) op(e4, e2) = all_4_10 % 79.31/11.58 | (131) op(e4, e3) = all_4_5 % 79.31/11.58 | (132) op(e4, e4) = all_4_0 % 79.31/11.58 | % 79.31/11.58 | DELTA: instantiating (1) with fresh symbols all_6_0, all_6_1, all_6_2, % 79.31/11.58 | all_6_3, all_6_4, all_6_5, all_6_6, all_6_7, all_6_8, all_6_9, % 79.31/11.58 | all_6_10, all_6_11, all_6_12, all_6_13, all_6_14, all_6_15, all_6_16, % 79.31/11.58 | all_6_17, all_6_18, all_6_19, all_6_20, all_6_21, all_6_22, all_6_23, % 79.31/11.58 | all_6_24 gives: % 79.31/11.59 | (133) op(e4, e4) = all_6_0 & op(e4, e3) = all_6_1 & op(e4, e2) = all_6_2 & % 79.31/11.59 | op(e4, e1) = all_6_3 & op(e4, e0) = all_6_4 & op(e3, e4) = all_6_5 & % 79.31/11.59 | op(e3, e3) = all_6_6 & op(e3, e2) = all_6_7 & op(e3, e1) = all_6_8 & % 79.31/11.59 | op(e3, e0) = all_6_9 & op(e2, e4) = all_6_10 & op(e2, e3) = all_6_11 % 79.31/11.59 | & op(e2, e2) = all_6_12 & op(e2, e1) = all_6_13 & op(e2, e0) = % 79.31/11.59 | all_6_14 & op(e1, e4) = all_6_15 & op(e1, e3) = all_6_16 & op(e1, e2) % 79.31/11.59 | = all_6_17 & op(e1, e1) = all_6_18 & op(e1, e0) = all_6_19 & op(e0, % 79.31/11.59 | e4) = all_6_20 & op(e0, e3) = all_6_21 & op(e0, e2) = all_6_22 & % 79.31/11.59 | op(e0, e1) = all_6_23 & op(e0, e0) = all_6_24 & $i(all_6_0) & % 79.31/11.59 | $i(all_6_1) & $i(all_6_2) & $i(all_6_3) & $i(all_6_4) & $i(all_6_5) & % 79.31/11.59 | $i(all_6_6) & $i(all_6_7) & $i(all_6_8) & $i(all_6_9) & $i(all_6_10) % 79.31/11.59 | & $i(all_6_11) & $i(all_6_12) & $i(all_6_13) & $i(all_6_14) & % 79.31/11.59 | $i(all_6_15) & $i(all_6_16) & $i(all_6_17) & $i(all_6_18) & % 79.31/11.59 | $i(all_6_19) & $i(all_6_20) & $i(all_6_21) & $i(all_6_22) & % 79.31/11.59 | $i(all_6_23) & $i(all_6_24) & (all_6_0 = e4 | all_6_0 = e3 | all_6_0 % 79.31/11.59 | = e2 | all_6_0 = e1 | all_6_0 = e0) & (all_6_1 = e4 | all_6_1 = e3 % 79.31/11.59 | | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0) & (all_6_2 = e4 | % 79.31/11.59 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0) & % 79.31/11.59 | (all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3 % 79.31/11.59 | = e0) & (all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1 % 79.31/11.59 | | all_6_4 = e0) & (all_6_5 = e4 | all_6_5 = e3 | all_6_5 = e2 | % 79.31/11.59 | all_6_5 = e1 | all_6_5 = e0) & (all_6_6 = e4 | all_6_6 = e3 | % 79.31/11.59 | all_6_6 = e2 | all_6_6 = e1 | all_6_6 = e0) & (all_6_7 = e4 | % 79.31/11.59 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 = e0) & % 79.31/11.59 | (all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 % 79.31/11.59 | = e0) & (all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1 % 79.31/11.59 | | all_6_9 = e0) & (all_6_10 = e4 | all_6_10 = e3 | all_6_10 = e2 | % 79.31/11.59 | all_6_10 = e1 | all_6_10 = e0) & (all_6_11 = e4 | all_6_11 = e3 | % 79.31/11.59 | all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0) & (all_6_12 = e4 | % 79.31/11.59 | all_6_12 = e3 | all_6_12 = e2 | all_6_12 = e1 | all_6_12 = e0) & % 79.31/11.59 | (all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 | % 79.31/11.59 | all_6_13 = e0) & (all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 | % 79.31/11.59 | all_6_14 = e1 | all_6_14 = e0) & (all_6_15 = e4 | all_6_15 = e3 | % 79.31/11.59 | all_6_15 = e2 | all_6_15 = e1 | all_6_15 = e0) & (all_6_16 = e4 | % 79.31/11.59 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | all_6_16 = e0) & % 79.31/11.59 | (all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 | % 79.31/11.59 | all_6_17 = e0) & (all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 | % 79.31/11.59 | all_6_18 = e1 | all_6_18 = e0) & (all_6_19 = e4 | all_6_19 = e3 | % 79.31/11.59 | all_6_19 = e2 | all_6_19 = e1 | all_6_19 = e0) & (all_6_20 = e4 | % 79.31/11.59 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20 = e0) & % 79.31/11.59 | (all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 | % 79.31/11.59 | all_6_21 = e0) & (all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | % 79.31/11.59 | all_6_22 = e1 | all_6_22 = e0) & (all_6_23 = e4 | all_6_23 = e3 | % 79.31/11.59 | all_6_23 = e2 | all_6_23 = e1 | all_6_23 = e0) & (all_6_24 = e4 | % 79.31/11.59 | all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 | all_6_24 = e0) % 79.31/11.59 | % 79.31/11.59 | ALPHA: (133) implies: % 79.31/11.59 | (134) op(e0, e0) = all_6_24 % 79.31/11.59 | (135) op(e0, e1) = all_6_23 % 79.31/11.59 | (136) op(e0, e2) = all_6_22 % 79.31/11.59 | (137) op(e0, e3) = all_6_21 % 79.31/11.59 | (138) op(e0, e4) = all_6_20 % 79.31/11.59 | (139) op(e1, e0) = all_6_19 % 79.31/11.59 | (140) op(e1, e1) = all_6_18 % 79.31/11.59 | (141) op(e1, e2) = all_6_17 % 79.31/11.59 | (142) op(e1, e3) = all_6_16 % 79.31/11.59 | (143) op(e1, e4) = all_6_15 % 79.31/11.59 | (144) op(e2, e0) = all_6_14 % 79.31/11.59 | (145) op(e2, e1) = all_6_13 % 79.31/11.59 | (146) op(e2, e2) = all_6_12 % 79.31/11.59 | (147) op(e2, e3) = all_6_11 % 79.31/11.59 | (148) op(e2, e4) = all_6_10 % 79.31/11.59 | (149) op(e3, e0) = all_6_9 % 79.31/11.59 | (150) op(e3, e1) = all_6_8 % 79.31/11.59 | (151) op(e3, e2) = all_6_7 % 79.31/11.59 | (152) op(e3, e3) = all_6_6 % 79.31/11.59 | (153) op(e3, e4) = all_6_5 % 79.31/11.59 | (154) op(e4, e0) = all_6_4 % 79.31/11.59 | (155) op(e4, e1) = all_6_3 % 79.31/11.59 | (156) op(e4, e2) = all_6_2 % 79.31/11.59 | (157) op(e4, e3) = all_6_1 % 79.31/11.59 | (158) op(e4, e4) = all_6_0 % 79.31/11.59 | (159) all_6_24 = e4 | all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 | % 79.31/11.59 | all_6_24 = e0 % 79.31/11.59 | (160) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e1 | % 79.31/11.59 | all_6_22 = e0 % 79.31/11.59 | (161) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 | % 79.31/11.59 | all_6_21 = e0 % 79.31/11.59 | (162) all_6_20 = e4 | all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | % 79.31/11.59 | all_6_20 = e0 % 79.31/11.59 | (163) all_6_19 = e4 | all_6_19 = e3 | all_6_19 = e2 | all_6_19 = e1 | % 79.31/11.59 | all_6_19 = e0 % 79.31/11.59 | (164) all_6_18 = e4 | all_6_18 = e3 | all_6_18 = e2 | all_6_18 = e1 | % 79.31/11.59 | all_6_18 = e0 % 79.31/11.59 | (165) all_6_17 = e4 | all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 | % 79.31/11.59 | all_6_17 = e0 % 79.31/11.59 | (166) all_6_16 = e4 | all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | % 79.31/11.59 | all_6_16 = e0 % 79.31/11.59 | (167) all_6_15 = e4 | all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1 | % 79.31/11.59 | all_6_15 = e0 % 79.31/11.59 | (168) all_6_14 = e4 | all_6_14 = e3 | all_6_14 = e2 | all_6_14 = e1 | % 79.31/11.59 | all_6_14 = e0 % 79.31/11.59 | (169) all_6_13 = e4 | all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 | % 79.31/11.59 | all_6_13 = e0 % 79.31/11.59 | (170) all_6_11 = e4 | all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 | % 79.31/11.59 | all_6_11 = e0 % 79.31/11.59 | (171) all_6_9 = e4 | all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1 | all_6_9 = % 79.31/11.59 | e0 % 79.31/11.59 | (172) all_6_8 = e4 | all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 = % 79.31/11.59 | e0 % 79.31/11.59 | (173) all_6_7 = e4 | all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 = % 79.31/11.59 | e0 % 79.31/11.59 | (174) all_6_6 = e4 | all_6_6 = e3 | all_6_6 = e2 | all_6_6 = e1 | all_6_6 = % 79.31/11.59 | e0 % 79.31/11.59 | (175) all_6_4 = e4 | all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1 | all_6_4 = % 79.31/11.59 | e0 % 79.31/11.59 | (176) all_6_3 = e4 | all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3 = % 79.31/11.59 | e0 % 79.31/11.59 | (177) all_6_2 = e4 | all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = % 79.31/11.59 | e0 % 79.31/11.59 | (178) all_6_1 = e4 | all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = % 79.31/11.59 | e0 % 79.31/11.59 | % 79.31/11.59 | DELTA: instantiating (2) with fresh symbols all_8_0, all_8_1, all_8_2, % 79.31/11.59 | all_8_3, all_8_4, all_8_5, all_8_6, all_8_7, all_8_8, all_8_9, % 79.31/11.59 | all_8_10, all_8_11, all_8_12, all_8_13, all_8_14, all_8_15, all_8_16, % 79.31/11.59 | all_8_17, all_8_18, all_8_19, all_8_20, all_8_21, all_8_22, all_8_23, % 79.31/11.59 | all_8_24 gives: % 79.31/11.60 | (179) op(e4, e4) = all_8_0 & op(e4, e3) = all_8_1 & op(e4, e2) = all_8_4 & % 79.31/11.60 | op(e4, e1) = all_8_9 & op(e4, e0) = all_8_16 & op(e3, e4) = all_8_2 & % 79.31/11.60 | op(e3, e3) = all_8_3 & op(e3, e2) = all_8_5 & op(e3, e1) = all_8_10 & % 79.31/11.60 | op(e3, e0) = all_8_17 & op(e2, e4) = all_8_6 & op(e2, e3) = all_8_7 & % 79.31/11.60 | op(e2, e2) = all_8_8 & op(e2, e1) = all_8_11 & op(e2, e0) = all_8_18 % 79.31/11.60 | & op(e1, e4) = all_8_12 & op(e1, e3) = all_8_13 & op(e1, e2) = % 79.31/11.60 | all_8_14 & op(e1, e1) = all_8_15 & op(e1, e0) = all_8_19 & op(e0, e4) % 79.31/11.60 | = all_8_20 & op(e0, e3) = all_8_21 & op(e0, e2) = all_8_22 & op(e0, % 79.31/11.60 | e1) = all_8_23 & op(e0, e0) = all_8_24 & $i(all_8_0) & $i(all_8_1) % 79.31/11.60 | & $i(all_8_2) & $i(all_8_3) & $i(all_8_4) & $i(all_8_5) & $i(all_8_6) % 79.31/11.60 | & $i(all_8_7) & $i(all_8_8) & $i(all_8_9) & $i(all_8_10) & % 79.31/11.60 | $i(all_8_11) & $i(all_8_12) & $i(all_8_13) & $i(all_8_14) & % 79.31/11.60 | $i(all_8_15) & $i(all_8_16) & $i(all_8_17) & $i(all_8_18) & % 79.31/11.60 | $i(all_8_19) & $i(all_8_20) & $i(all_8_21) & $i(all_8_22) & % 79.31/11.60 | $i(all_8_23) & $i(all_8_24) & (all_8_0 = e4 | all_8_1 = e4 | all_8_4 % 79.31/11.60 | = e4 | all_8_9 = e4 | all_8_16 = e4) & (all_8_0 = e4 | all_8_2 = e4 % 79.31/11.60 | | all_8_6 = e4 | all_8_12 = e4 | all_8_20 = e4) & (all_8_0 = e3 | % 79.31/11.60 | all_8_1 = e3 | all_8_4 = e3 | all_8_9 = e3 | all_8_16 = e3) & % 79.31/11.60 | (all_8_0 = e3 | all_8_2 = e3 | all_8_6 = e3 | all_8_12 = e3 | % 79.31/11.60 | all_8_20 = e3) & (all_8_0 = e2 | all_8_1 = e2 | all_8_4 = e2 | % 79.31/11.60 | all_8_9 = e2 | all_8_16 = e2) & (all_8_0 = e2 | all_8_2 = e2 | % 79.31/11.60 | all_8_6 = e2 | all_8_12 = e2 | all_8_20 = e2) & (all_8_0 = e1 | % 79.31/11.60 | all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 | all_8_16 = e1) & % 79.31/11.60 | (all_8_0 = e1 | all_8_2 = e1 | all_8_6 = e1 | all_8_12 = e1 | % 79.31/11.60 | all_8_20 = e1) & (all_8_0 = e0 | all_8_1 = e0 | all_8_4 = e0 | % 79.31/11.60 | all_8_9 = e0 | all_8_16 = e0) & (all_8_0 = e0 | all_8_2 = e0 | % 79.31/11.60 | all_8_6 = e0 | all_8_12 = e0 | all_8_20 = e0) & (all_8_1 = e4 | % 79.31/11.60 | all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4) & % 79.31/11.60 | (all_8_1 = e3 | all_8_3 = e3 | all_8_7 = e3 | all_8_13 = e3 | % 79.31/11.60 | all_8_21 = e3) & (all_8_1 = e2 | all_8_3 = e2 | all_8_7 = e2 | % 79.31/11.60 | all_8_13 = e2 | all_8_21 = e2) & (all_8_1 = e1 | all_8_3 = e1 | % 79.31/11.60 | all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1) & (all_8_1 = e0 | % 79.31/11.60 | all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0) & % 79.31/11.60 | (all_8_2 = e4 | all_8_3 = e4 | all_8_5 = e4 | all_8_10 = e4 | % 79.31/11.60 | all_8_17 = e4) & (all_8_2 = e3 | all_8_3 = e3 | all_8_5 = e3 | % 79.31/11.60 | all_8_10 = e3 | all_8_17 = e3) & (all_8_2 = e2 | all_8_3 = e2 | % 79.31/11.60 | all_8_5 = e2 | all_8_10 = e2 | all_8_17 = e2) & (all_8_2 = e1 | % 79.31/11.60 | all_8_3 = e1 | all_8_5 = e1 | all_8_10 = e1 | all_8_17 = e1) & % 79.31/11.60 | (all_8_2 = e0 | all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | % 79.31/11.60 | all_8_17 = e0) & (all_8_4 = e4 | all_8_5 = e4 | all_8_8 = e4 | % 79.31/11.60 | all_8_14 = e4 | all_8_22 = e4) & (all_8_4 = e3 | all_8_5 = e3 | % 79.31/11.60 | all_8_8 = e3 | all_8_14 = e3 | all_8_22 = e3) & (all_8_4 = e2 | % 79.31/11.60 | all_8_5 = e2 | all_8_8 = e2 | all_8_14 = e2 | all_8_22 = e2) & % 79.31/11.60 | (all_8_4 = e1 | all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 | % 79.31/11.60 | all_8_22 = e1) & (all_8_4 = e0 | all_8_5 = e0 | all_8_8 = e0 | % 79.31/11.60 | all_8_14 = e0 | all_8_22 = e0) & (all_8_6 = e4 | all_8_7 = e4 | % 79.31/11.60 | all_8_8 = e4 | all_8_11 = e4 | all_8_18 = e4) & (all_8_6 = e3 | % 79.31/11.60 | all_8_7 = e3 | all_8_8 = e3 | all_8_11 = e3 | all_8_18 = e3) & % 79.31/11.60 | (all_8_6 = e2 | all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 | % 79.31/11.60 | all_8_18 = e2) & (all_8_6 = e1 | all_8_7 = e1 | all_8_8 = e1 | % 79.31/11.60 | all_8_11 = e1 | all_8_18 = e1) & (all_8_6 = e0 | all_8_7 = e0 | % 79.31/11.60 | all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0) & (all_8_9 = e4 | % 79.31/11.60 | all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 | all_8_23 = e4) & % 79.31/11.60 | (all_8_9 = e3 | all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 | % 79.31/11.60 | all_8_23 = e3) & (all_8_9 = e2 | all_8_10 = e2 | all_8_11 = e2 | % 79.31/11.60 | all_8_15 = e2 | all_8_23 = e2) & (all_8_9 = e1 | all_8_10 = e1 | % 79.31/11.60 | all_8_11 = e1 | all_8_15 = e1 | all_8_23 = e1) & (all_8_9 = e0 | % 79.31/11.60 | all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 | all_8_23 = e0) & % 79.31/11.60 | (all_8_12 = e4 | all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 | % 79.31/11.60 | all_8_19 = e4) & (all_8_12 = e3 | all_8_13 = e3 | all_8_14 = e3 | % 79.31/11.60 | all_8_15 = e3 | all_8_19 = e3) & (all_8_12 = e2 | all_8_13 = e2 | % 79.31/11.60 | all_8_14 = e2 | all_8_15 = e2 | all_8_19 = e2) & (all_8_12 = e1 | % 79.31/11.60 | all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1) & % 79.31/11.60 | (all_8_12 = e0 | all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 | % 79.31/11.60 | all_8_19 = e0) & (all_8_16 = e4 | all_8_17 = e4 | all_8_18 = e4 | % 79.31/11.60 | all_8_19 = e4 | all_8_24 = e4) & (all_8_16 = e3 | all_8_17 = e3 | % 79.31/11.60 | all_8_18 = e3 | all_8_19 = e3 | all_8_24 = e3) & (all_8_16 = e2 | % 79.31/11.60 | all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 | all_8_24 = e2) & % 79.31/11.60 | (all_8_16 = e1 | all_8_17 = e1 | all_8_18 = e1 | all_8_19 = e1 | % 79.31/11.60 | all_8_24 = e1) & (all_8_20 = e4 | all_8_21 = e4 | all_8_22 = e4 | % 79.31/11.60 | all_8_23 = e4 | all_8_24 = e4) & (all_8_20 = e3 | all_8_21 = e3 | % 79.31/11.60 | all_8_22 = e3 | all_8_23 = e3 | all_8_24 = e3) & (all_8_20 = e2 | % 79.31/11.60 | all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 | all_8_24 = e2) & % 79.31/11.60 | (all_8_20 = e1 | all_8_21 = e1 | all_8_22 = e1 | all_8_23 = e1 | % 79.31/11.60 | all_8_24 = e1) & (all_8_24 = e0 | ((all_8_16 = e0 | all_8_17 = e0 | % 79.31/11.60 | all_8_18 = e0 | all_8_19 = e0) & (all_8_20 = e0 | all_8_21 = e0 % 79.31/11.60 | | all_8_22 = e0 | all_8_23 = e0))) % 79.31/11.60 | % 79.31/11.60 | ALPHA: (179) implies: % 79.31/11.60 | (180) op(e0, e0) = all_8_24 % 79.31/11.60 | (181) op(e0, e1) = all_8_23 % 79.31/11.60 | (182) op(e0, e2) = all_8_22 % 79.31/11.60 | (183) op(e0, e3) = all_8_21 % 79.31/11.60 | (184) op(e0, e4) = all_8_20 % 79.31/11.60 | (185) op(e1, e0) = all_8_19 % 79.31/11.60 | (186) op(e1, e1) = all_8_15 % 79.31/11.60 | (187) op(e1, e2) = all_8_14 % 79.31/11.60 | (188) op(e1, e3) = all_8_13 % 79.31/11.60 | (189) op(e1, e4) = all_8_12 % 79.31/11.60 | (190) op(e2, e0) = all_8_18 % 79.31/11.60 | (191) op(e2, e1) = all_8_11 % 79.31/11.60 | (192) op(e2, e2) = all_8_8 % 79.31/11.60 | (193) op(e2, e3) = all_8_7 % 79.31/11.60 | (194) op(e2, e4) = all_8_6 % 79.31/11.60 | (195) op(e3, e0) = all_8_17 % 79.31/11.60 | (196) op(e3, e1) = all_8_10 % 79.31/11.60 | (197) op(e3, e2) = all_8_5 % 79.31/11.60 | (198) op(e3, e3) = all_8_3 % 79.31/11.60 | (199) op(e3, e4) = all_8_2 % 79.31/11.60 | (200) op(e4, e0) = all_8_16 % 79.31/11.60 | (201) op(e4, e1) = all_8_9 % 79.31/11.60 | (202) op(e4, e2) = all_8_4 % 79.31/11.61 | (203) op(e4, e3) = all_8_1 % 79.31/11.61 | (204) op(e4, e4) = all_8_0 % 79.31/11.61 | (205) all_8_24 = e0 | ((all_8_16 = e0 | all_8_17 = e0 | all_8_18 = e0 | % 79.31/11.61 | all_8_19 = e0) & (all_8_20 = e0 | all_8_21 = e0 | all_8_22 = e0 | % 79.31/11.61 | all_8_23 = e0)) % 79.31/11.61 | (206) all_8_20 = e1 | all_8_21 = e1 | all_8_22 = e1 | all_8_23 = e1 | % 79.31/11.61 | all_8_24 = e1 % 79.31/11.61 | (207) all_8_20 = e2 | all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 | % 79.31/11.61 | all_8_24 = e2 % 79.31/11.61 | (208) all_8_20 = e3 | all_8_21 = e3 | all_8_22 = e3 | all_8_23 = e3 | % 79.31/11.61 | all_8_24 = e3 % 79.31/11.61 | (209) all_8_20 = e4 | all_8_21 = e4 | all_8_22 = e4 | all_8_23 = e4 | % 79.31/11.61 | all_8_24 = e4 % 79.31/11.61 | (210) all_8_16 = e1 | all_8_17 = e1 | all_8_18 = e1 | all_8_19 = e1 | % 79.31/11.61 | all_8_24 = e1 % 79.31/11.61 | (211) all_8_16 = e2 | all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 | % 79.31/11.61 | all_8_24 = e2 % 79.31/11.61 | (212) all_8_16 = e3 | all_8_17 = e3 | all_8_18 = e3 | all_8_19 = e3 | % 79.31/11.61 | all_8_24 = e3 % 79.31/11.61 | (213) all_8_16 = e4 | all_8_17 = e4 | all_8_18 = e4 | all_8_19 = e4 | % 79.31/11.61 | all_8_24 = e4 % 79.31/11.61 | (214) all_8_12 = e0 | all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 | % 79.31/11.61 | all_8_19 = e0 % 79.31/11.61 | (215) all_8_12 = e1 | all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | % 79.31/11.61 | all_8_19 = e1 % 79.31/11.61 | (216) all_8_12 = e4 | all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 | % 79.31/11.61 | all_8_19 = e4 % 79.31/11.61 | (217) all_8_9 = e0 | all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 | % 79.31/11.61 | all_8_23 = e0 % 79.31/11.61 | (218) all_8_9 = e1 | all_8_10 = e1 | all_8_11 = e1 | all_8_15 = e1 | % 79.31/11.61 | all_8_23 = e1 % 79.72/11.61 | (219) all_8_9 = e3 | all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 | % 79.72/11.61 | all_8_23 = e3 % 79.72/11.61 | (220) all_8_9 = e4 | all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 | % 79.72/11.61 | all_8_23 = e4 % 79.72/11.61 | (221) all_8_6 = e0 | all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | all_8_18 % 79.72/11.61 | = e0 % 79.72/11.61 | (222) all_8_6 = e1 | all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | all_8_18 % 79.72/11.61 | = e1 % 79.72/11.61 | (223) all_8_6 = e2 | all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 | all_8_18 % 79.72/11.61 | = e2 % 79.72/11.61 | (224) all_8_4 = e0 | all_8_5 = e0 | all_8_8 = e0 | all_8_14 = e0 | all_8_22 % 79.72/11.61 | = e0 % 79.72/11.61 | (225) all_8_4 = e1 | all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 | all_8_22 % 79.72/11.61 | = e1 % 79.72/11.61 | (226) all_8_4 = e2 | all_8_5 = e2 | all_8_8 = e2 | all_8_14 = e2 | all_8_22 % 79.72/11.61 | = e2 % 79.72/11.61 | (227) all_8_4 = e3 | all_8_5 = e3 | all_8_8 = e3 | all_8_14 = e3 | all_8_22 % 79.72/11.61 | = e3 % 79.72/11.61 | (228) all_8_2 = e0 | all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | all_8_17 % 79.72/11.61 | = e0 % 79.72/11.61 | (229) all_8_2 = e2 | all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 | all_8_17 % 79.72/11.61 | = e2 % 79.72/11.61 | (230) all_8_2 = e3 | all_8_3 = e3 | all_8_5 = e3 | all_8_10 = e3 | all_8_17 % 79.72/11.61 | = e3 % 79.72/11.61 | (231) all_8_2 = e4 | all_8_3 = e4 | all_8_5 = e4 | all_8_10 = e4 | all_8_17 % 79.72/11.61 | = e4 % 79.72/11.61 | (232) all_8_1 = e0 | all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | all_8_21 % 79.72/11.61 | = e0 % 79.72/11.61 | (233) all_8_1 = e1 | all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 | all_8_21 % 79.72/11.61 | = e1 % 79.72/11.61 | (234) all_8_1 = e3 | all_8_3 = e3 | all_8_7 = e3 | all_8_13 = e3 | all_8_21 % 79.72/11.61 | = e3 % 79.72/11.61 | (235) all_8_1 = e4 | all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 | all_8_21 % 79.72/11.61 | = e4 % 79.72/11.61 | (236) all_8_0 = e1 | all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 | all_8_16 % 79.72/11.61 | = e1 % 79.72/11.61 | (237) all_8_0 = e2 | all_8_1 = e2 | all_8_4 = e2 | all_8_9 = e2 | all_8_16 % 79.72/11.61 | = e2 % 79.72/11.61 | (238) all_8_0 = e3 | all_8_1 = e3 | all_8_4 = e3 | all_8_9 = e3 | all_8_16 % 79.72/11.61 | = e3 % 79.72/11.61 | (239) all_8_0 = e4 | all_8_1 = e4 | all_8_4 = e4 | all_8_9 = e4 | all_8_16 % 79.72/11.61 | = e4 % 79.72/11.61 | % 79.72/11.61 | DELTA: instantiating (8) with fresh symbols all_10_0, all_10_1, all_10_2, % 79.72/11.61 | all_10_3, all_10_4, all_10_5, all_10_6, all_10_7, all_10_8, all_10_9, % 79.72/11.61 | all_10_10, all_10_11, all_10_12, all_10_13, all_10_14, all_10_15, % 79.72/11.61 | all_10_16, all_10_17, all_10_18, all_10_19, all_10_20, all_10_21, % 79.72/11.61 | all_10_22, all_10_23, all_10_24, all_10_25, all_10_26, all_10_27, % 79.72/11.61 | all_10_28, all_10_29, all_10_30, all_10_31, all_10_32, all_10_33, % 79.72/11.61 | all_10_34, all_10_35, all_10_36, all_10_37, all_10_38, all_10_39, % 79.72/11.61 | all_10_40, all_10_41, all_10_42, all_10_43, all_10_44, all_10_45, % 79.72/11.61 | all_10_46, all_10_47, all_10_48, all_10_49, all_10_50, all_10_51, % 79.72/11.61 | all_10_52, all_10_53, all_10_54, all_10_55, all_10_56, all_10_57, % 79.72/11.61 | all_10_58, all_10_59, all_10_60, all_10_61, all_10_62, all_10_63, % 79.72/11.61 | all_10_64, all_10_65, all_10_66, all_10_67, all_10_68, all_10_69 gives: % 79.72/11.63 | (240) op(e4, all_10_1) = all_10_0 & op(e4, all_10_4) = all_10_2 & op(e4, % 79.72/11.63 | all_10_7) = all_10_5 & op(e4, all_10_10) = all_10_8 & op(e4, % 79.72/11.63 | all_10_13) = all_10_11 & op(e4, all_10_16) = all_10_15 & op(e4, % 79.72/11.63 | all_10_30) = all_10_29 & op(e4, all_10_44) = all_10_43 & op(e4, % 79.72/11.63 | all_10_58) = all_10_57 & op(e4, e4) = all_10_1 & op(e4, e3) = % 79.72/11.63 | all_10_16 & op(e4, e2) = all_10_30 & op(e4, e1) = all_10_44 & op(e4, % 79.72/11.63 | e0) = all_10_58 & op(e3, all_10_4) = all_10_3 & op(e3, all_10_16) = % 79.72/11.63 | all_10_14 & op(e3, all_10_18) = all_10_17 & op(e3, all_10_21) = % 79.72/11.63 | all_10_19 & op(e3, all_10_24) = all_10_22 & op(e3, all_10_27) = % 79.72/11.63 | all_10_25 & op(e3, all_10_33) = all_10_32 & op(e3, all_10_47) = % 79.72/11.63 | all_10_46 & op(e3, all_10_61) = all_10_60 & op(e3, e4) = all_10_4 & % 79.72/11.63 | op(e3, e3) = all_10_18 & op(e3, e2) = all_10_33 & op(e3, e1) = % 79.72/11.63 | all_10_47 & op(e3, e0) = all_10_61 & op(e2, all_10_7) = all_10_6 & % 79.72/11.63 | op(e2, all_10_21) = all_10_20 & op(e2, all_10_30) = all_10_28 & % 79.72/11.63 | op(e2, all_10_33) = all_10_31 & op(e2, all_10_35) = all_10_34 & % 79.72/11.63 | op(e2, all_10_38) = all_10_36 & op(e2, all_10_41) = all_10_39 & % 79.72/11.63 | op(e2, all_10_50) = all_10_49 & op(e2, all_10_64) = all_10_63 & % 79.72/11.63 | op(e2, e4) = all_10_7 & op(e2, e3) = all_10_21 & op(e2, e2) = % 79.72/11.63 | all_10_35 & op(e2, e1) = all_10_50 & op(e2, e0) = all_10_64 & op(e1, % 79.72/11.63 | all_10_10) = all_10_9 & op(e1, all_10_24) = all_10_23 & op(e1, % 79.72/11.63 | all_10_38) = all_10_37 & op(e1, all_10_44) = all_10_42 & op(e1, % 79.72/11.63 | all_10_47) = all_10_45 & op(e1, all_10_50) = all_10_48 & op(e1, % 79.72/11.63 | all_10_52) = all_10_51 & op(e1, all_10_55) = all_10_53 & op(e1, % 79.72/11.63 | all_10_67) = all_10_66 & op(e1, e4) = all_10_10 & op(e1, e3) = % 79.72/11.63 | all_10_24 & op(e1, e2) = all_10_38 & op(e1, e1) = all_10_52 & op(e1, % 79.72/11.63 | e0) = all_10_67 & op(e0, all_10_13) = all_10_12 & op(e0, all_10_27) % 79.72/11.63 | = all_10_26 & op(e0, all_10_41) = all_10_40 & op(e0, all_10_55) = % 79.72/11.63 | all_10_54 & op(e0, all_10_58) = all_10_56 & op(e0, all_10_61) = % 79.72/11.63 | all_10_59 & op(e0, all_10_64) = all_10_62 & op(e0, all_10_67) = % 79.72/11.63 | all_10_65 & op(e0, all_10_69) = all_10_68 & op(e0, e4) = all_10_13 & % 79.72/11.63 | op(e0, e3) = all_10_27 & op(e0, e2) = all_10_41 & op(e0, e1) = % 79.72/11.63 | all_10_55 & op(e0, e0) = all_10_69 & $i(all_10_0) & $i(all_10_1) & % 79.72/11.63 | $i(all_10_2) & $i(all_10_3) & $i(all_10_4) & $i(all_10_5) & % 79.72/11.63 | $i(all_10_6) & $i(all_10_7) & $i(all_10_8) & $i(all_10_9) & % 79.72/11.63 | $i(all_10_10) & $i(all_10_11) & $i(all_10_12) & $i(all_10_13) & % 79.72/11.63 | $i(all_10_14) & $i(all_10_15) & $i(all_10_16) & $i(all_10_17) & % 79.72/11.63 | $i(all_10_18) & $i(all_10_19) & $i(all_10_20) & $i(all_10_21) & % 79.72/11.63 | $i(all_10_22) & $i(all_10_23) & $i(all_10_24) & $i(all_10_25) & % 79.72/11.63 | $i(all_10_26) & $i(all_10_27) & $i(all_10_28) & $i(all_10_29) & % 79.72/11.63 | $i(all_10_30) & $i(all_10_31) & $i(all_10_32) & $i(all_10_33) & % 79.72/11.63 | $i(all_10_34) & $i(all_10_35) & $i(all_10_36) & $i(all_10_37) & % 79.72/11.63 | $i(all_10_38) & $i(all_10_39) & $i(all_10_40) & $i(all_10_41) & % 79.72/11.63 | $i(all_10_42) & $i(all_10_43) & $i(all_10_44) & $i(all_10_45) & % 79.72/11.63 | $i(all_10_46) & $i(all_10_47) & $i(all_10_48) & $i(all_10_49) & % 79.72/11.63 | $i(all_10_50) & $i(all_10_51) & $i(all_10_52) & $i(all_10_53) & % 79.72/11.63 | $i(all_10_54) & $i(all_10_55) & $i(all_10_56) & $i(all_10_57) & % 79.72/11.63 | $i(all_10_58) & $i(all_10_59) & $i(all_10_60) & $i(all_10_61) & % 79.72/11.63 | $i(all_10_62) & $i(all_10_63) & $i(all_10_64) & $i(all_10_65) & % 79.72/11.63 | $i(all_10_66) & $i(all_10_67) & $i(all_10_68) & $i(all_10_69) & % 79.72/11.63 | ((all_10_2 = e3 & ~ (all_10_3 = e4)) | (all_10_5 = e2 & ~ (all_10_6 % 79.72/11.63 | = e4)) | (all_10_8 = e1 & ~ (all_10_9 = e4)) | (all_10_11 = e0 % 79.72/11.63 | & ~ (all_10_12 = e4))) & ((all_10_14 = e4 & ~ (all_10_15 = e3)) % 79.72/11.63 | | (all_10_19 = e2 & ~ (all_10_20 = e3)) | (all_10_22 = e1 & ~ % 79.72/11.63 | (all_10_23 = e3)) | (all_10_25 = e0 & ~ (all_10_26 = e3))) & % 79.72/11.63 | ((all_10_28 = e4 & ~ (all_10_29 = e2)) | (all_10_31 = e3 & ~ % 79.72/11.63 | (all_10_32 = e2)) | (all_10_36 = e1 & ~ (all_10_37 = e2)) | % 79.72/11.63 | (all_10_39 = e0 & ~ (all_10_40 = e2))) & ((all_10_42 = e4 & ~ % 79.72/11.63 | (all_10_43 = e1)) | (all_10_45 = e3 & ~ (all_10_46 = e1)) | % 79.72/11.63 | (all_10_48 = e2 & ~ (all_10_49 = e1)) | (all_10_53 = e0 & ~ % 79.72/11.63 | (all_10_54 = e1))) & ((all_10_56 = e4 & ~ (all_10_57 = e0)) | % 79.72/11.63 | (all_10_59 = e3 & ~ (all_10_60 = e0)) | (all_10_62 = e2 & ~ % 79.72/11.63 | (all_10_63 = e0)) | (all_10_65 = e1 & ~ (all_10_66 = e0))) & ((( % 79.72/11.63 | ~ (all_10_1 = e4) | ~ (unit = e4)) & ( ~ (all_10_4 = e4) | ~ % 79.72/11.63 | (unit = e4)) & ( ~ (all_10_7 = e4) | ~ (unit = e4)) & ( ~ % 79.72/11.63 | (all_10_10 = e4) | ~ (unit = e4)) & ( ~ (all_10_13 = e4) | ~ % 79.72/11.63 | (unit = e4)) & ( ~ (all_10_16 = e4) | (all_10_1 = e3 & ~ (unit % 79.72/11.63 | = e4))) & ( ~ (all_10_18 = e4) | (all_10_4 = e3 & ~ (unit % 79.72/11.63 | = e4))) & ( ~ (all_10_21 = e4) | (all_10_7 = e3 & ~ (unit % 79.72/11.63 | = e4))) & ( ~ (all_10_24 = e4) | (all_10_10 = e3 & ~ (unit % 79.72/11.63 | = e4))) & ( ~ (all_10_27 = e4) | (all_10_13 = e3 & ~ (unit % 79.72/11.63 | = e4))) & ( ~ (all_10_30 = e4) | (all_10_1 = e2 & ~ (unit % 79.72/11.63 | = e4))) & ( ~ (all_10_33 = e4) | (all_10_4 = e2 & ~ (unit % 79.72/11.63 | = e4))) & ( ~ (all_10_35 = e4) | (all_10_7 = e2 & ~ (unit % 79.72/11.63 | = e4))) & ( ~ (all_10_38 = e4) | (all_10_10 = e2 & ~ (unit % 79.72/11.63 | = e4))) & ( ~ (all_10_41 = e4) | (all_10_13 = e2 & ~ (unit % 79.72/11.63 | = e4))) & ( ~ (all_10_44 = e4) | (all_10_1 = e1 & ~ (unit % 79.72/11.63 | = e4))) & ( ~ (all_10_47 = e4) | (all_10_4 = e1 & ~ (unit % 79.72/11.63 | = e4))) & ( ~ (all_10_50 = e4) | (all_10_7 = e1 & ~ (unit % 79.72/11.63 | = e4))) & ( ~ (all_10_52 = e4) | (all_10_10 = e1 & ~ (unit % 79.72/11.63 | = e4))) & ( ~ (all_10_55 = e4) | (all_10_13 = e1 & ~ (unit % 79.72/11.63 | = e4))) & ( ~ (all_10_58 = e4) | (all_10_1 = e0 & ~ (unit % 79.72/11.63 | = e4))) & ( ~ (all_10_61 = e4) | (all_10_4 = e0 & ~ (unit % 79.72/11.63 | = e4))) & ( ~ (all_10_64 = e4) | (all_10_7 = e0 & ~ (unit % 79.72/11.63 | = e4))) & ( ~ (all_10_67 = e4) | (all_10_10 = e0 & ~ (unit % 79.72/11.63 | = e4))) & ( ~ (all_10_69 = e4) | (all_10_13 = e0 & ~ (unit % 79.72/11.63 | = e4)))) | (( ~ (all_10_1 = e3) | (all_10_16 = e4 & ~ % 79.72/11.63 | (unit = e3))) & ( ~ (all_10_4 = e3) | (all_10_18 = e4 & ~ % 79.72/11.63 | (unit = e3))) & ( ~ (all_10_7 = e3) | (all_10_21 = e4 & ~ % 79.72/11.63 | (unit = e3))) & ( ~ (all_10_10 = e3) | (all_10_24 = e4 & ~ % 79.72/11.63 | (unit = e3))) & ( ~ (all_10_13 = e3) | (all_10_27 = e4 & ~ % 79.72/11.63 | (unit = e3))) & ( ~ (all_10_16 = e3) | ~ (unit = e3)) & ( ~ % 79.72/11.63 | (all_10_18 = e3) | ~ (unit = e3)) & ( ~ (all_10_21 = e3) | ~ % 79.72/11.63 | (unit = e3)) & ( ~ (all_10_24 = e3) | ~ (unit = e3)) & ( ~ % 79.72/11.63 | (all_10_27 = e3) | ~ (unit = e3)) & ( ~ (all_10_30 = e3) | % 79.72/11.63 | (all_10_16 = e2 & ~ (unit = e3))) & ( ~ (all_10_33 = e3) | % 79.72/11.63 | (all_10_18 = e2 & ~ (unit = e3))) & ( ~ (all_10_35 = e3) | % 79.72/11.63 | (all_10_21 = e2 & ~ (unit = e3))) & ( ~ (all_10_38 = e3) | % 79.72/11.63 | (all_10_24 = e2 & ~ (unit = e3))) & ( ~ (all_10_41 = e3) | % 79.72/11.63 | (all_10_27 = e2 & ~ (unit = e3))) & ( ~ (all_10_44 = e3) | % 79.72/11.63 | (all_10_16 = e1 & ~ (unit = e3))) & ( ~ (all_10_47 = e3) | % 79.72/11.63 | (all_10_18 = e1 & ~ (unit = e3))) & ( ~ (all_10_50 = e3) | % 79.72/11.63 | (all_10_21 = e1 & ~ (unit = e3))) & ( ~ (all_10_52 = e3) | % 79.72/11.63 | (all_10_24 = e1 & ~ (unit = e3))) & ( ~ (all_10_55 = e3) | % 79.72/11.63 | (all_10_27 = e1 & ~ (unit = e3))) & ( ~ (all_10_58 = e3) | % 79.72/11.63 | (all_10_16 = e0 & ~ (unit = e3))) & ( ~ (all_10_61 = e3) | % 79.72/11.63 | (all_10_18 = e0 & ~ (unit = e3))) & ( ~ (all_10_64 = e3) | % 79.72/11.63 | (all_10_21 = e0 & ~ (unit = e3))) & ( ~ (all_10_67 = e3) | % 79.72/11.63 | (all_10_24 = e0 & ~ (unit = e3))) & ( ~ (all_10_69 = e3) | % 79.72/11.63 | (all_10_27 = e0 & ~ (unit = e3)))) | (( ~ (all_10_1 = e2) | % 79.72/11.63 | (all_10_30 = e4 & ~ (unit = e2))) & ( ~ (all_10_4 = e2) | % 79.72/11.63 | (all_10_33 = e4 & ~ (unit = e2))) & ( ~ (all_10_7 = e2) | % 79.72/11.63 | (all_10_35 = e4 & ~ (unit = e2))) & ( ~ (all_10_10 = e2) | % 79.72/11.63 | (all_10_38 = e4 & ~ (unit = e2))) & ( ~ (all_10_13 = e2) | % 79.72/11.63 | (all_10_41 = e4 & ~ (unit = e2))) & ( ~ (all_10_16 = e2) | % 79.72/11.63 | (all_10_30 = e3 & ~ (unit = e2))) & ( ~ (all_10_18 = e2) | % 79.72/11.63 | (all_10_33 = e3 & ~ (unit = e2))) & ( ~ (all_10_21 = e2) | % 79.72/11.63 | (all_10_35 = e3 & ~ (unit = e2))) & ( ~ (all_10_24 = e2) | % 79.72/11.63 | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ (all_10_27 = e2) | % 79.72/11.63 | (all_10_41 = e3 & ~ (unit = e2))) & ( ~ (all_10_30 = e2) | ~ % 79.72/11.63 | (unit = e2)) & ( ~ (all_10_33 = e2) | ~ (unit = e2)) & ( ~ % 79.72/11.63 | (all_10_35 = e2) | ~ (unit = e2)) & ( ~ (all_10_38 = e2) | ~ % 79.72/11.63 | (unit = e2)) & ( ~ (all_10_41 = e2) | ~ (unit = e2)) & ( ~ % 79.72/11.63 | (all_10_44 = e2) | (all_10_30 = e1 & ~ (unit = e2))) & ( ~ % 79.72/11.63 | (all_10_47 = e2) | (all_10_33 = e1 & ~ (unit = e2))) & ( ~ % 79.72/11.63 | (all_10_50 = e2) | (all_10_35 = e1 & ~ (unit = e2))) & ( ~ % 79.72/11.63 | (all_10_52 = e2) | (all_10_38 = e1 & ~ (unit = e2))) & ( ~ % 79.72/11.63 | (all_10_55 = e2) | (all_10_41 = e1 & ~ (unit = e2))) & ( ~ % 79.72/11.63 | (all_10_58 = e2) | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 79.72/11.63 | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit = e2))) & ( ~ % 79.72/11.63 | (all_10_64 = e2) | (all_10_35 = e0 & ~ (unit = e2))) & ( ~ % 79.72/11.63 | (all_10_67 = e2) | (all_10_38 = e0 & ~ (unit = e2))) & ( ~ % 79.72/11.63 | (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit = e2)))) | (( ~ % 79.72/11.63 | (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = e1))) & ( ~ % 79.72/11.63 | (all_10_4 = e1) | (all_10_47 = e4 & ~ (unit = e1))) & ( ~ % 79.72/11.63 | (all_10_7 = e1) | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 79.72/11.63 | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit = e1))) & ( ~ % 79.72/11.63 | (all_10_13 = e1) | (all_10_55 = e4 & ~ (unit = e1))) & ( ~ % 79.72/11.63 | (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit = e1))) & ( ~ % 79.72/11.63 | (all_10_18 = e1) | (all_10_47 = e3 & ~ (unit = e1))) & ( ~ % 79.72/11.63 | (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit = e1))) & ( ~ % 79.72/11.63 | (all_10_24 = e1) | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 79.72/11.63 | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = e1))) & ( ~ % 79.72/11.63 | (all_10_30 = e1) | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ % 79.72/11.63 | (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit = e1))) & ( ~ % 79.72/11.63 | (all_10_35 = e1) | (all_10_50 = e2 & ~ (unit = e1))) & ( ~ % 79.72/11.63 | (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit = e1))) & ( ~ % 79.72/11.63 | (all_10_41 = e1) | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 79.72/11.63 | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ (all_10_47 = e1) | ~ % 79.72/11.63 | (unit = e1)) & ( ~ (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 79.72/11.63 | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ (all_10_55 = e1) | ~ % 79.72/11.63 | (unit = e1)) & ( ~ (all_10_58 = e1) | (all_10_44 = e0 & ~ % 79.72/11.63 | (unit = e1))) & ( ~ (all_10_61 = e1) | (all_10_47 = e0 & ~ % 79.72/11.63 | (unit = e1))) & ( ~ (all_10_64 = e1) | (all_10_50 = e0 & ~ % 79.72/11.63 | (unit = e1))) & ( ~ (all_10_67 = e1) | (all_10_52 = e0 & ~ % 79.72/11.63 | (unit = e1))) & ( ~ (all_10_69 = e1) | (all_10_55 = e0 & ~ % 79.72/11.63 | (unit = e1)))) | (( ~ (all_10_1 = e0) | (all_10_58 = e4 & ~ % 79.72/11.63 | (unit = e0))) & ( ~ (all_10_4 = e0) | (all_10_61 = e4 & ~ % 79.72/11.63 | (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = e4 & ~ % 79.72/11.63 | (unit = e0))) & ( ~ (all_10_10 = e0) | (all_10_67 = e4 & ~ % 79.72/11.63 | (unit = e0))) & ( ~ (all_10_13 = e0) | (all_10_69 = e4 & ~ % 79.72/11.63 | (unit = e0))) & ( ~ (all_10_16 = e0) | (all_10_58 = e3 & ~ % 79.72/11.63 | (unit = e0))) & ( ~ (all_10_18 = e0) | (all_10_61 = e3 & ~ % 79.72/11.63 | (unit = e0))) & ( ~ (all_10_21 = e0) | (all_10_64 = e3 & ~ % 79.72/11.63 | (unit = e0))) & ( ~ (all_10_24 = e0) | (all_10_67 = e3 & ~ % 79.72/11.63 | (unit = e0))) & ( ~ (all_10_27 = e0) | (all_10_69 = e3 & ~ % 79.72/11.63 | (unit = e0))) & ( ~ (all_10_30 = e0) | (all_10_58 = e2 & ~ % 79.72/11.63 | (unit = e0))) & ( ~ (all_10_33 = e0) | (all_10_61 = e2 & ~ % 79.72/11.63 | (unit = e0))) & ( ~ (all_10_35 = e0) | (all_10_64 = e2 & ~ % 79.72/11.63 | (unit = e0))) & ( ~ (all_10_38 = e0) | (all_10_67 = e2 & ~ % 79.72/11.63 | (unit = e0))) & ( ~ (all_10_41 = e0) | (all_10_69 = e2 & ~ % 79.72/11.63 | (unit = e0))) & ( ~ (all_10_44 = e0) | (all_10_58 = e1 & ~ % 79.72/11.63 | (unit = e0))) & ( ~ (all_10_47 = e0) | (all_10_61 = e1 & ~ % 79.72/11.63 | (unit = e0))) & ( ~ (all_10_50 = e0) | (all_10_64 = e1 & ~ % 79.72/11.63 | (unit = e0))) & ( ~ (all_10_52 = e0) | (all_10_67 = e1 & ~ % 79.72/11.63 | (unit = e0))) & ( ~ (all_10_55 = e0) | (all_10_69 = e1 & ~ % 79.72/11.63 | (unit = e0))) & ( ~ (all_10_58 = e0) | ~ (unit = e0)) & ( ~ % 79.72/11.63 | (all_10_61 = e0) | ~ (unit = e0)) & ( ~ (all_10_64 = e0) | ~ % 79.72/11.63 | (unit = e0)) & ( ~ (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 79.72/11.63 | (all_10_69 = e0) | ~ (unit = e0)))) % 79.72/11.63 | % 79.72/11.63 | ALPHA: (240) implies: % 79.72/11.63 | (241) op(e0, e0) = all_10_69 % 79.72/11.63 | (242) op(e0, e1) = all_10_55 % 79.72/11.63 | (243) op(e0, e2) = all_10_41 % 79.72/11.63 | (244) op(e0, e3) = all_10_27 % 79.72/11.63 | (245) op(e0, e4) = all_10_13 % 79.72/11.63 | (246) op(e0, all_10_67) = all_10_65 % 79.72/11.63 | (247) op(e0, all_10_64) = all_10_62 % 79.72/11.63 | (248) op(e0, all_10_61) = all_10_59 % 79.72/11.63 | (249) op(e0, all_10_58) = all_10_56 % 79.72/11.63 | (250) op(e0, all_10_55) = all_10_54 % 79.72/11.63 | (251) op(e0, all_10_41) = all_10_40 % 79.72/11.63 | (252) op(e0, all_10_27) = all_10_26 % 79.72/11.63 | (253) op(e0, all_10_13) = all_10_12 % 79.72/11.63 | (254) op(e1, e0) = all_10_67 % 79.72/11.63 | (255) op(e1, e1) = all_10_52 % 79.72/11.63 | (256) op(e1, e2) = all_10_38 % 79.72/11.63 | (257) op(e1, e3) = all_10_24 % 79.72/11.63 | (258) op(e1, e4) = all_10_10 % 79.72/11.63 | (259) op(e1, all_10_67) = all_10_66 % 79.72/11.63 | (260) op(e1, all_10_55) = all_10_53 % 79.72/11.63 | (261) op(e1, all_10_50) = all_10_48 % 79.72/11.63 | (262) op(e1, all_10_47) = all_10_45 % 79.72/11.63 | (263) op(e1, all_10_44) = all_10_42 % 79.72/11.63 | (264) op(e1, all_10_38) = all_10_37 % 79.72/11.63 | (265) op(e1, all_10_24) = all_10_23 % 79.72/11.63 | (266) op(e1, all_10_10) = all_10_9 % 79.72/11.63 | (267) op(e2, e0) = all_10_64 % 79.72/11.63 | (268) op(e2, e1) = all_10_50 % 79.72/11.63 | (269) op(e2, e2) = all_10_35 % 79.72/11.63 | (270) op(e2, e3) = all_10_21 % 79.72/11.63 | (271) op(e2, e4) = all_10_7 % 79.72/11.63 | (272) op(e2, all_10_64) = all_10_63 % 79.72/11.63 | (273) op(e2, all_10_50) = all_10_49 % 79.72/11.63 | (274) op(e2, all_10_38) = all_10_36 % 79.72/11.63 | (275) op(e2, all_10_33) = all_10_31 % 79.72/11.63 | (276) op(e2, all_10_30) = all_10_28 % 79.72/11.63 | (277) op(e2, all_10_21) = all_10_20 % 79.72/11.63 | (278) op(e2, all_10_7) = all_10_6 % 79.72/11.63 | (279) op(e3, e0) = all_10_61 % 79.72/11.63 | (280) op(e3, e1) = all_10_47 % 79.72/11.63 | (281) op(e3, e2) = all_10_33 % 79.72/11.63 | (282) op(e3, e3) = all_10_18 % 79.72/11.63 | (283) op(e3, e4) = all_10_4 % 79.72/11.63 | (284) op(e3, all_10_61) = all_10_60 % 79.72/11.63 | (285) op(e3, all_10_47) = all_10_46 % 79.72/11.63 | (286) op(e3, all_10_33) = all_10_32 % 79.72/11.63 | (287) op(e3, all_10_27) = all_10_25 % 79.72/11.63 | (288) op(e3, all_10_24) = all_10_22 % 79.72/11.63 | (289) op(e3, all_10_21) = all_10_19 % 79.72/11.63 | (290) op(e3, all_10_16) = all_10_14 % 79.72/11.63 | (291) op(e3, all_10_4) = all_10_3 % 79.72/11.63 | (292) op(e4, e0) = all_10_58 % 79.72/11.63 | (293) op(e4, e1) = all_10_44 % 79.72/11.63 | (294) op(e4, e2) = all_10_30 % 79.72/11.63 | (295) op(e4, e3) = all_10_16 % 79.72/11.63 | (296) op(e4, e4) = all_10_1 % 79.72/11.63 | (297) op(e4, all_10_58) = all_10_57 % 79.72/11.63 | (298) op(e4, all_10_13) = all_10_11 % 79.72/11.63 | (299) op(e4, all_10_10) = all_10_8 % 79.72/11.63 | (300) op(e4, all_10_7) = all_10_5 % 79.72/11.63 | (301) op(e4, all_10_4) = all_10_2 % 79.72/11.64 | (302) (( ~ (all_10_1 = e4) | ~ (unit = e4)) & ( ~ (all_10_4 = e4) | ~ % 79.72/11.64 | (unit = e4)) & ( ~ (all_10_7 = e4) | ~ (unit = e4)) & ( ~ % 79.72/11.64 | (all_10_10 = e4) | ~ (unit = e4)) & ( ~ (all_10_13 = e4) | ~ % 79.72/11.64 | (unit = e4)) & ( ~ (all_10_16 = e4) | (all_10_1 = e3 & ~ (unit = % 79.72/11.64 | e4))) & ( ~ (all_10_18 = e4) | (all_10_4 = e3 & ~ (unit = % 79.72/11.64 | e4))) & ( ~ (all_10_21 = e4) | (all_10_7 = e3 & ~ (unit = % 79.72/11.64 | e4))) & ( ~ (all_10_24 = e4) | (all_10_10 = e3 & ~ (unit = % 79.72/11.64 | e4))) & ( ~ (all_10_27 = e4) | (all_10_13 = e3 & ~ (unit = % 79.72/11.64 | e4))) & ( ~ (all_10_30 = e4) | (all_10_1 = e2 & ~ (unit = % 79.72/11.64 | e4))) & ( ~ (all_10_33 = e4) | (all_10_4 = e2 & ~ (unit = % 79.72/11.64 | e4))) & ( ~ (all_10_35 = e4) | (all_10_7 = e2 & ~ (unit = % 79.72/11.64 | e4))) & ( ~ (all_10_38 = e4) | (all_10_10 = e2 & ~ (unit = % 79.72/11.64 | e4))) & ( ~ (all_10_41 = e4) | (all_10_13 = e2 & ~ (unit = % 79.72/11.64 | e4))) & ( ~ (all_10_44 = e4) | (all_10_1 = e1 & ~ (unit = % 79.72/11.64 | e4))) & ( ~ (all_10_47 = e4) | (all_10_4 = e1 & ~ (unit = % 79.72/11.64 | e4))) & ( ~ (all_10_50 = e4) | (all_10_7 = e1 & ~ (unit = % 79.72/11.64 | e4))) & ( ~ (all_10_52 = e4) | (all_10_10 = e1 & ~ (unit = % 79.72/11.64 | e4))) & ( ~ (all_10_55 = e4) | (all_10_13 = e1 & ~ (unit = % 79.72/11.64 | e4))) & ( ~ (all_10_58 = e4) | (all_10_1 = e0 & ~ (unit = % 79.72/11.64 | e4))) & ( ~ (all_10_61 = e4) | (all_10_4 = e0 & ~ (unit = % 79.72/11.64 | e4))) & ( ~ (all_10_64 = e4) | (all_10_7 = e0 & ~ (unit = % 79.72/11.64 | e4))) & ( ~ (all_10_67 = e4) | (all_10_10 = e0 & ~ (unit = % 79.72/11.64 | e4))) & ( ~ (all_10_69 = e4) | (all_10_13 = e0 & ~ (unit = % 79.72/11.64 | e4)))) | (( ~ (all_10_1 = e3) | (all_10_16 = e4 & ~ (unit = % 79.72/11.64 | e3))) & ( ~ (all_10_4 = e3) | (all_10_18 = e4 & ~ (unit = % 79.72/11.64 | e3))) & ( ~ (all_10_7 = e3) | (all_10_21 = e4 & ~ (unit = % 79.72/11.64 | e3))) & ( ~ (all_10_10 = e3) | (all_10_24 = e4 & ~ (unit = % 79.72/11.64 | e3))) & ( ~ (all_10_13 = e3) | (all_10_27 = e4 & ~ (unit = % 79.72/11.64 | e3))) & ( ~ (all_10_16 = e3) | ~ (unit = e3)) & ( ~ % 79.72/11.64 | (all_10_18 = e3) | ~ (unit = e3)) & ( ~ (all_10_21 = e3) | ~ % 79.72/11.64 | (unit = e3)) & ( ~ (all_10_24 = e3) | ~ (unit = e3)) & ( ~ % 79.72/11.64 | (all_10_27 = e3) | ~ (unit = e3)) & ( ~ (all_10_30 = e3) | % 79.72/11.64 | (all_10_16 = e2 & ~ (unit = e3))) & ( ~ (all_10_33 = e3) | % 79.72/11.64 | (all_10_18 = e2 & ~ (unit = e3))) & ( ~ (all_10_35 = e3) | % 79.72/11.64 | (all_10_21 = e2 & ~ (unit = e3))) & ( ~ (all_10_38 = e3) | % 79.72/11.64 | (all_10_24 = e2 & ~ (unit = e3))) & ( ~ (all_10_41 = e3) | % 79.72/11.64 | (all_10_27 = e2 & ~ (unit = e3))) & ( ~ (all_10_44 = e3) | % 79.72/11.64 | (all_10_16 = e1 & ~ (unit = e3))) & ( ~ (all_10_47 = e3) | % 79.72/11.64 | (all_10_18 = e1 & ~ (unit = e3))) & ( ~ (all_10_50 = e3) | % 79.72/11.64 | (all_10_21 = e1 & ~ (unit = e3))) & ( ~ (all_10_52 = e3) | % 79.72/11.64 | (all_10_24 = e1 & ~ (unit = e3))) & ( ~ (all_10_55 = e3) | % 79.72/11.64 | (all_10_27 = e1 & ~ (unit = e3))) & ( ~ (all_10_58 = e3) | % 79.72/11.64 | (all_10_16 = e0 & ~ (unit = e3))) & ( ~ (all_10_61 = e3) | % 79.72/11.64 | (all_10_18 = e0 & ~ (unit = e3))) & ( ~ (all_10_64 = e3) | % 79.72/11.64 | (all_10_21 = e0 & ~ (unit = e3))) & ( ~ (all_10_67 = e3) | % 79.72/11.64 | (all_10_24 = e0 & ~ (unit = e3))) & ( ~ (all_10_69 = e3) | % 79.72/11.64 | (all_10_27 = e0 & ~ (unit = e3)))) | (( ~ (all_10_1 = e2) | % 79.72/11.64 | (all_10_30 = e4 & ~ (unit = e2))) & ( ~ (all_10_4 = e2) | % 79.72/11.64 | (all_10_33 = e4 & ~ (unit = e2))) & ( ~ (all_10_7 = e2) | % 79.72/11.64 | (all_10_35 = e4 & ~ (unit = e2))) & ( ~ (all_10_10 = e2) | % 79.72/11.64 | (all_10_38 = e4 & ~ (unit = e2))) & ( ~ (all_10_13 = e2) | % 79.72/11.64 | (all_10_41 = e4 & ~ (unit = e2))) & ( ~ (all_10_16 = e2) | % 79.72/11.64 | (all_10_30 = e3 & ~ (unit = e2))) & ( ~ (all_10_18 = e2) | % 79.72/11.64 | (all_10_33 = e3 & ~ (unit = e2))) & ( ~ (all_10_21 = e2) | % 79.72/11.64 | (all_10_35 = e3 & ~ (unit = e2))) & ( ~ (all_10_24 = e2) | % 79.72/11.64 | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ (all_10_27 = e2) | % 79.72/11.64 | (all_10_41 = e3 & ~ (unit = e2))) & ( ~ (all_10_30 = e2) | ~ % 79.72/11.64 | (unit = e2)) & ( ~ (all_10_33 = e2) | ~ (unit = e2)) & ( ~ % 79.72/11.64 | (all_10_35 = e2) | ~ (unit = e2)) & ( ~ (all_10_38 = e2) | ~ % 79.72/11.64 | (unit = e2)) & ( ~ (all_10_41 = e2) | ~ (unit = e2)) & ( ~ % 79.72/11.64 | (all_10_44 = e2) | (all_10_30 = e1 & ~ (unit = e2))) & ( ~ % 79.72/11.64 | (all_10_47 = e2) | (all_10_33 = e1 & ~ (unit = e2))) & ( ~ % 79.72/11.64 | (all_10_50 = e2) | (all_10_35 = e1 & ~ (unit = e2))) & ( ~ % 79.72/11.64 | (all_10_52 = e2) | (all_10_38 = e1 & ~ (unit = e2))) & ( ~ % 79.72/11.64 | (all_10_55 = e2) | (all_10_41 = e1 & ~ (unit = e2))) & ( ~ % 79.72/11.64 | (all_10_58 = e2) | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 79.72/11.64 | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit = e2))) & ( ~ % 79.72/11.64 | (all_10_64 = e2) | (all_10_35 = e0 & ~ (unit = e2))) & ( ~ % 79.72/11.64 | (all_10_67 = e2) | (all_10_38 = e0 & ~ (unit = e2))) & ( ~ % 79.72/11.64 | (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit = e2)))) | (( ~ % 79.72/11.64 | (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = e1))) & ( ~ % 79.72/11.64 | (all_10_4 = e1) | (all_10_47 = e4 & ~ (unit = e1))) & ( ~ % 79.72/11.64 | (all_10_7 = e1) | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 79.72/11.64 | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit = e1))) & ( ~ % 79.72/11.64 | (all_10_13 = e1) | (all_10_55 = e4 & ~ (unit = e1))) & ( ~ % 79.72/11.64 | (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit = e1))) & ( ~ % 79.72/11.64 | (all_10_18 = e1) | (all_10_47 = e3 & ~ (unit = e1))) & ( ~ % 79.72/11.64 | (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit = e1))) & ( ~ % 79.72/11.64 | (all_10_24 = e1) | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 79.72/11.64 | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = e1))) & ( ~ % 79.72/11.64 | (all_10_30 = e1) | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ % 79.72/11.64 | (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit = e1))) & ( ~ % 79.72/11.64 | (all_10_35 = e1) | (all_10_50 = e2 & ~ (unit = e1))) & ( ~ % 79.72/11.64 | (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit = e1))) & ( ~ % 79.72/11.64 | (all_10_41 = e1) | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 79.72/11.64 | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ (all_10_47 = e1) | ~ % 79.72/11.64 | (unit = e1)) & ( ~ (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 79.72/11.64 | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ (all_10_55 = e1) | ~ % 79.72/11.64 | (unit = e1)) & ( ~ (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit % 79.72/11.64 | = e1))) & ( ~ (all_10_61 = e1) | (all_10_47 = e0 & ~ (unit = % 79.72/11.64 | e1))) & ( ~ (all_10_64 = e1) | (all_10_50 = e0 & ~ (unit = % 79.72/11.64 | e1))) & ( ~ (all_10_67 = e1) | (all_10_52 = e0 & ~ (unit = % 79.72/11.64 | e1))) & ( ~ (all_10_69 = e1) | (all_10_55 = e0 & ~ (unit = % 79.72/11.64 | e1)))) | (( ~ (all_10_1 = e0) | (all_10_58 = e4 & ~ (unit = % 79.72/11.64 | e0))) & ( ~ (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = % 79.72/11.64 | e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = e4 & ~ (unit = % 79.72/11.64 | e0))) & ( ~ (all_10_10 = e0) | (all_10_67 = e4 & ~ (unit = % 79.72/11.64 | e0))) & ( ~ (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit = % 79.72/11.64 | e0))) & ( ~ (all_10_16 = e0) | (all_10_58 = e3 & ~ (unit = % 79.72/11.64 | e0))) & ( ~ (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit = % 79.72/11.64 | e0))) & ( ~ (all_10_21 = e0) | (all_10_64 = e3 & ~ (unit = % 79.72/11.64 | e0))) & ( ~ (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit = % 79.72/11.64 | e0))) & ( ~ (all_10_27 = e0) | (all_10_69 = e3 & ~ (unit = % 79.72/11.64 | e0))) & ( ~ (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit = % 79.72/11.64 | e0))) & ( ~ (all_10_33 = e0) | (all_10_61 = e2 & ~ (unit = % 79.72/11.64 | e0))) & ( ~ (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit = % 79.72/11.64 | e0))) & ( ~ (all_10_38 = e0) | (all_10_67 = e2 & ~ (unit = % 79.72/11.64 | e0))) & ( ~ (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit = % 79.72/11.64 | e0))) & ( ~ (all_10_44 = e0) | (all_10_58 = e1 & ~ (unit = % 79.72/11.64 | e0))) & ( ~ (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit = % 79.72/11.64 | e0))) & ( ~ (all_10_50 = e0) | (all_10_64 = e1 & ~ (unit = % 79.72/11.64 | e0))) & ( ~ (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit = % 79.72/11.64 | e0))) & ( ~ (all_10_55 = e0) | (all_10_69 = e1 & ~ (unit = % 79.72/11.64 | e0))) & ( ~ (all_10_58 = e0) | ~ (unit = e0)) & ( ~ % 79.72/11.64 | (all_10_61 = e0) | ~ (unit = e0)) & ( ~ (all_10_64 = e0) | ~ % 79.72/11.64 | (unit = e0)) & ( ~ (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 79.72/11.64 | (all_10_69 = e0) | ~ (unit = e0))) % 79.72/11.64 | (303) (all_10_56 = e4 & ~ (all_10_57 = e0)) | (all_10_59 = e3 & ~ % 79.72/11.64 | (all_10_60 = e0)) | (all_10_62 = e2 & ~ (all_10_63 = e0)) | % 79.72/11.64 | (all_10_65 = e1 & ~ (all_10_66 = e0)) % 79.72/11.64 | (304) (all_10_42 = e4 & ~ (all_10_43 = e1)) | (all_10_45 = e3 & ~ % 79.72/11.64 | (all_10_46 = e1)) | (all_10_48 = e2 & ~ (all_10_49 = e1)) | % 79.72/11.64 | (all_10_53 = e0 & ~ (all_10_54 = e1)) % 79.72/11.64 | (305) (all_10_28 = e4 & ~ (all_10_29 = e2)) | (all_10_31 = e3 & ~ % 79.72/11.64 | (all_10_32 = e2)) | (all_10_36 = e1 & ~ (all_10_37 = e2)) | % 79.72/11.64 | (all_10_39 = e0 & ~ (all_10_40 = e2)) % 79.72/11.64 | (306) (all_10_14 = e4 & ~ (all_10_15 = e3)) | (all_10_19 = e2 & ~ % 79.72/11.64 | (all_10_20 = e3)) | (all_10_22 = e1 & ~ (all_10_23 = e3)) | % 79.72/11.64 | (all_10_25 = e0 & ~ (all_10_26 = e3)) % 79.72/11.64 | (307) (all_10_2 = e3 & ~ (all_10_3 = e4)) | (all_10_5 = e2 & ~ (all_10_6 % 79.72/11.64 | = e4)) | (all_10_8 = e1 & ~ (all_10_9 = e4)) | (all_10_11 = e0 & % 79.72/11.64 | ~ (all_10_12 = e4)) % 79.72/11.64 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_6_24, all_8_24, e0, e0, % 79.72/11.65 | simplifying with (134), (180) gives: % 79.72/11.65 | (308) all_8_24 = all_6_24 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_8_24, all_10_69, e0, e0, % 79.72/11.65 | simplifying with (180), (241) gives: % 79.72/11.65 | (309) all_10_69 = all_8_24 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_4_24, all_10_69, e0, e0, % 79.72/11.65 | simplifying with (108), (241) gives: % 79.72/11.65 | (310) all_10_69 = all_4_24 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_8_23, all_10_55, e1, e0, % 79.72/11.65 | simplifying with (181), (242) gives: % 79.72/11.65 | (311) all_10_55 = all_8_23 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_6_23, all_10_55, e1, e0, % 79.72/11.65 | simplifying with (135), (242) gives: % 79.72/11.65 | (312) all_10_55 = all_6_23 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_4_19, all_10_55, e1, e0, % 79.72/11.65 | simplifying with (109), (242) gives: % 79.72/11.65 | (313) all_10_55 = all_4_19 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_8_22, all_10_41, e2, e0, % 79.72/11.65 | simplifying with (182), (243) gives: % 79.72/11.65 | (314) all_10_41 = all_8_22 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_6_22, all_10_41, e2, e0, % 79.72/11.65 | simplifying with (136), (243) gives: % 79.72/11.65 | (315) all_10_41 = all_6_22 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_4_14, all_10_41, e2, e0, % 79.72/11.65 | simplifying with (110), (243) gives: % 79.72/11.65 | (316) all_10_41 = all_4_14 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_6_21, all_8_21, e3, e0, % 79.72/11.65 | simplifying with (137), (183) gives: % 79.72/11.65 | (317) all_8_21 = all_6_21 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_8_21, all_10_27, e3, e0, % 79.72/11.65 | simplifying with (183), (244) gives: % 79.72/11.65 | (318) all_10_27 = all_8_21 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_4_9, all_10_27, e3, e0, % 79.72/11.65 | simplifying with (111), (244) gives: % 79.72/11.65 | (319) all_10_27 = all_4_9 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_6_20, all_8_20, e4, e0, % 79.72/11.65 | simplifying with (138), (184) gives: % 79.72/11.65 | (320) all_8_20 = all_6_20 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_8_20, all_10_13, e4, e0, % 79.72/11.65 | simplifying with (184), (245) gives: % 79.72/11.65 | (321) all_10_13 = all_8_20 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_4_4, all_10_13, e4, e0, % 79.72/11.65 | simplifying with (112), (245) gives: % 79.72/11.65 | (322) all_10_13 = all_4_4 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_6_19, all_8_19, e0, e1, % 79.72/11.65 | simplifying with (139), (185) gives: % 79.72/11.65 | (323) all_8_19 = all_6_19 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_8_19, all_10_67, e0, e1, % 79.72/11.65 | simplifying with (185), (254) gives: % 79.72/11.65 | (324) all_10_67 = all_8_19 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_4_23, all_10_67, e0, e1, % 79.72/11.65 | simplifying with (113), (254) gives: % 79.72/11.65 | (325) all_10_67 = all_4_23 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_6_18, all_8_15, e1, e1, % 79.72/11.65 | simplifying with (140), (186) gives: % 79.72/11.65 | (326) all_8_15 = all_6_18 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_8_15, all_10_52, e1, e1, % 79.72/11.65 | simplifying with (186), (255) gives: % 79.72/11.65 | (327) all_10_52 = all_8_15 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_4_18, all_10_52, e1, e1, % 79.72/11.65 | simplifying with (114), (255) gives: % 79.72/11.65 | (328) all_10_52 = all_4_18 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_6_17, all_8_14, e2, e1, % 79.72/11.65 | simplifying with (141), (187) gives: % 79.72/11.65 | (329) all_8_14 = all_6_17 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_8_14, all_10_38, e2, e1, % 79.72/11.65 | simplifying with (187), (256) gives: % 79.72/11.65 | (330) all_10_38 = all_8_14 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_4_13, all_10_38, e2, e1, % 79.72/11.65 | simplifying with (115), (256) gives: % 79.72/11.65 | (331) all_10_38 = all_4_13 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_8_13, all_10_24, e3, e1, % 79.72/11.65 | simplifying with (188), (257) gives: % 79.72/11.65 | (332) all_10_24 = all_8_13 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_6_16, all_10_24, e3, e1, % 79.72/11.65 | simplifying with (142), (257) gives: % 79.72/11.65 | (333) all_10_24 = all_6_16 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_4_8, all_10_24, e3, e1, % 79.72/11.65 | simplifying with (116), (257) gives: % 79.72/11.65 | (334) all_10_24 = all_4_8 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_6_15, all_8_12, e4, e1, % 79.72/11.65 | simplifying with (143), (189) gives: % 79.72/11.65 | (335) all_8_12 = all_6_15 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_8_12, all_10_10, e4, e1, % 79.72/11.65 | simplifying with (189), (258) gives: % 79.72/11.65 | (336) all_10_10 = all_8_12 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_4_3, all_10_10, e4, e1, % 79.72/11.65 | simplifying with (117), (258) gives: % 79.72/11.65 | (337) all_10_10 = all_4_3 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_8_18, all_10_64, e0, e2, % 79.72/11.65 | simplifying with (190), (267) gives: % 79.72/11.65 | (338) all_10_64 = all_8_18 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_6_14, all_10_64, e0, e2, % 79.72/11.65 | simplifying with (144), (267) gives: % 79.72/11.65 | (339) all_10_64 = all_6_14 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_4_22, all_10_64, e0, e2, % 79.72/11.65 | simplifying with (118), (267) gives: % 79.72/11.65 | (340) all_10_64 = all_4_22 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_6_13, all_8_11, e1, e2, % 79.72/11.65 | simplifying with (145), (191) gives: % 79.72/11.65 | (341) all_8_11 = all_6_13 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_8_11, all_10_50, e1, e2, % 79.72/11.65 | simplifying with (191), (268) gives: % 79.72/11.65 | (342) all_10_50 = all_8_11 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_4_17, all_10_50, e1, e2, % 79.72/11.65 | simplifying with (119), (268) gives: % 79.72/11.65 | (343) all_10_50 = all_4_17 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_4_12, all_8_8, e2, e2, % 79.72/11.65 | simplifying with (120), (192) gives: % 79.72/11.65 | (344) all_8_8 = all_4_12 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with e4, all_8_8, e2, e2, % 79.72/11.65 | simplifying with (4), (192) gives: % 79.72/11.65 | (345) all_8_8 = e4 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_8_8, all_10_35, e2, e2, % 79.72/11.65 | simplifying with (192), (269) gives: % 79.72/11.65 | (346) all_10_35 = all_8_8 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_6_12, all_10_35, e2, e2, % 79.72/11.65 | simplifying with (146), (269) gives: % 79.72/11.65 | (347) all_10_35 = all_6_12 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_6_11, all_8_7, e3, e2, % 79.72/11.65 | simplifying with (147), (193) gives: % 79.72/11.65 | (348) all_8_7 = all_6_11 % 79.72/11.65 | % 79.72/11.65 | GROUND_INST: instantiating (function-axioms) with all_8_7, all_10_21, e3, e2, % 79.72/11.65 | simplifying with (193), (270) gives: % 79.72/11.66 | (349) all_10_21 = all_8_7 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_4_7, all_10_21, e3, e2, % 79.72/11.66 | simplifying with (121), (270) gives: % 79.72/11.66 | (350) all_10_21 = all_4_7 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_4_2, all_6_10, e4, e2, % 79.72/11.66 | simplifying with (122), (148) gives: % 79.72/11.66 | (351) all_6_10 = all_4_2 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_6_10, all_8_6, e4, e2, % 79.72/11.66 | simplifying with (148), (194) gives: % 79.72/11.66 | (352) all_8_6 = all_6_10 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_8_6, all_10_7, e4, e2, % 79.72/11.66 | simplifying with (194), (271) gives: % 79.72/11.66 | (353) all_10_7 = all_8_6 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with e3, all_10_7, e4, e2, % 79.72/11.66 | simplifying with (5), (271) gives: % 79.72/11.66 | (354) all_10_7 = e3 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_6_9, all_8_17, e0, e3, % 79.72/11.66 | simplifying with (149), (195) gives: % 79.72/11.66 | (355) all_8_17 = all_6_9 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_8_17, all_10_61, e0, e3, % 79.72/11.66 | simplifying with (195), (279) gives: % 79.72/11.66 | (356) all_10_61 = all_8_17 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_4_21, all_10_61, e0, e3, % 79.72/11.66 | simplifying with (123), (279) gives: % 79.72/11.66 | (357) all_10_61 = all_4_21 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_4_16, all_8_10, e1, e3, % 79.72/11.66 | simplifying with (124), (196) gives: % 79.72/11.66 | (358) all_8_10 = all_4_16 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_8_10, all_10_47, e1, e3, % 79.72/11.66 | simplifying with (196), (280) gives: % 79.72/11.66 | (359) all_10_47 = all_8_10 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_6_8, all_10_47, e1, e3, % 79.72/11.66 | simplifying with (150), (280) gives: % 79.72/11.66 | (360) all_10_47 = all_6_8 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_6_7, all_8_5, e2, e3, % 79.72/11.66 | simplifying with (151), (197) gives: % 79.72/11.66 | (361) all_8_5 = all_6_7 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_8_5, all_10_33, e2, e3, % 79.72/11.66 | simplifying with (197), (281) gives: % 79.72/11.66 | (362) all_10_33 = all_8_5 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_4_11, all_10_33, e2, e3, % 79.72/11.66 | simplifying with (125), (281) gives: % 79.72/11.66 | (363) all_10_33 = all_4_11 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_8_3, all_10_18, e3, e3, % 79.72/11.66 | simplifying with (198), (282) gives: % 79.72/11.66 | (364) all_10_18 = all_8_3 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_6_6, all_10_18, e3, e3, % 79.72/11.66 | simplifying with (152), (282) gives: % 79.72/11.66 | (365) all_10_18 = all_6_6 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_4_6, all_10_18, e3, e3, % 79.72/11.66 | simplifying with (126), (282) gives: % 79.72/11.66 | (366) all_10_18 = all_4_6 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_6_5, all_8_2, e4, e3, % 79.72/11.66 | simplifying with (153), (199) gives: % 79.72/11.66 | (367) all_8_2 = all_6_5 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_4_1, all_8_2, e4, e3, % 79.72/11.66 | simplifying with (127), (199) gives: % 79.72/11.66 | (368) all_8_2 = all_4_1 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_8_2, all_10_4, e4, e3, % 79.72/11.66 | simplifying with (199), (283) gives: % 79.72/11.66 | (369) all_10_4 = all_8_2 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with e1, all_10_4, e4, e3, % 79.72/11.66 | simplifying with (6), (283) gives: % 79.72/11.66 | (370) all_10_4 = e1 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_6_4, all_8_16, e0, e4, % 79.72/11.66 | simplifying with (154), (200) gives: % 79.72/11.66 | (371) all_8_16 = all_6_4 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_8_16, all_10_58, e0, e4, % 79.72/11.66 | simplifying with (200), (292) gives: % 79.72/11.66 | (372) all_10_58 = all_8_16 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_4_20, all_10_58, e0, e4, % 79.72/11.66 | simplifying with (128), (292) gives: % 79.72/11.66 | (373) all_10_58 = all_4_20 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_6_3, all_8_9, e1, e4, % 79.72/11.66 | simplifying with (155), (201) gives: % 79.72/11.66 | (374) all_8_9 = all_6_3 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_8_9, all_10_44, e1, e4, % 79.72/11.66 | simplifying with (201), (293) gives: % 79.72/11.66 | (375) all_10_44 = all_8_9 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_4_15, all_10_44, e1, e4, % 79.72/11.66 | simplifying with (129), (293) gives: % 79.72/11.66 | (376) all_10_44 = all_4_15 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_8_4, all_10_30, e2, e4, % 79.72/11.66 | simplifying with (202), (294) gives: % 79.72/11.66 | (377) all_10_30 = all_8_4 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_6_2, all_10_30, e2, e4, % 79.72/11.66 | simplifying with (156), (294) gives: % 79.72/11.66 | (378) all_10_30 = all_6_2 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_4_10, all_10_30, e2, e4, % 79.72/11.66 | simplifying with (130), (294) gives: % 79.72/11.66 | (379) all_10_30 = all_4_10 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_8_1, all_10_16, e3, e4, % 79.72/11.66 | simplifying with (203), (295) gives: % 79.72/11.66 | (380) all_10_16 = all_8_1 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_6_1, all_10_16, e3, e4, % 79.72/11.66 | simplifying with (157), (295) gives: % 79.72/11.66 | (381) all_10_16 = all_6_1 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_4_5, all_10_16, e3, e4, % 79.72/11.66 | simplifying with (131), (295) gives: % 79.72/11.66 | (382) all_10_16 = all_4_5 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_6_0, all_8_0, e4, e4, % 79.72/11.66 | simplifying with (158), (204) gives: % 79.72/11.66 | (383) all_8_0 = all_6_0 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_4_0, all_8_0, e4, e4, % 79.72/11.66 | simplifying with (132), (204) gives: % 79.72/11.66 | (384) all_8_0 = all_4_0 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with all_8_0, all_10_1, e4, e4, % 79.72/11.66 | simplifying with (204), (296) gives: % 79.72/11.66 | (385) all_10_1 = all_8_0 % 79.72/11.66 | % 79.72/11.66 | GROUND_INST: instantiating (function-axioms) with e0, all_10_1, e4, e4, % 79.72/11.66 | simplifying with (7), (296) gives: % 79.72/11.66 | (386) all_10_1 = e0 % 79.72/11.66 | % 79.72/11.66 | COMBINE_EQS: (385), (386) imply: % 79.72/11.66 | (387) all_8_0 = e0 % 79.72/11.66 | % 79.72/11.66 | SIMP: (387) implies: % 79.72/11.66 | (388) all_8_0 = e0 % 79.72/11.66 | % 79.72/11.66 | COMBINE_EQS: (369), (370) imply: % 79.72/11.66 | (389) all_8_2 = e1 % 79.72/11.66 | % 79.72/11.66 | SIMP: (389) implies: % 79.72/11.66 | (390) all_8_2 = e1 % 79.72/11.66 | % 79.72/11.66 | COMBINE_EQS: (353), (354) imply: % 79.72/11.66 | (391) all_8_6 = e3 % 79.72/11.66 | % 79.72/11.66 | SIMP: (391) implies: % 79.72/11.66 | (392) all_8_6 = e3 % 79.72/11.66 | % 79.72/11.66 | COMBINE_EQS: (336), (337) imply: % 79.72/11.66 | (393) all_8_12 = all_4_3 % 79.72/11.66 | % 79.72/11.66 | SIMP: (393) implies: % 79.72/11.66 | (394) all_8_12 = all_4_3 % 79.72/11.66 | % 79.72/11.66 | COMBINE_EQS: (321), (322) imply: % 79.72/11.66 | (395) all_8_20 = all_4_4 % 79.72/11.66 | % 79.72/11.66 | SIMP: (395) implies: % 79.72/11.66 | (396) all_8_20 = all_4_4 % 79.72/11.66 | % 79.72/11.66 | COMBINE_EQS: (380), (382) imply: % 79.72/11.66 | (397) all_8_1 = all_4_5 % 79.72/11.66 | % 79.72/11.66 | COMBINE_EQS: (380), (381) imply: % 79.72/11.66 | (398) all_8_1 = all_6_1 % 79.72/11.66 | % 79.72/11.66 | COMBINE_EQS: (364), (365) imply: % 79.72/11.66 | (399) all_8_3 = all_6_6 % 79.72/11.66 | % 79.72/11.66 | COMBINE_EQS: (364), (366) imply: % 79.72/11.66 | (400) all_8_3 = all_4_6 % 79.72/11.66 | % 79.72/11.66 | COMBINE_EQS: (349), (350) imply: % 79.72/11.66 | (401) all_8_7 = all_4_7 % 79.72/11.66 | % 79.72/11.66 | SIMP: (401) implies: % 79.72/11.67 | (402) all_8_7 = all_4_7 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (332), (334) imply: % 79.72/11.67 | (403) all_8_13 = all_4_8 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (332), (333) imply: % 79.72/11.67 | (404) all_8_13 = all_6_16 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (318), (319) imply: % 79.72/11.67 | (405) all_8_21 = all_4_9 % 79.72/11.67 | % 79.72/11.67 | SIMP: (405) implies: % 79.72/11.67 | (406) all_8_21 = all_4_9 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (377), (379) imply: % 79.72/11.67 | (407) all_8_4 = all_4_10 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (377), (378) imply: % 79.72/11.67 | (408) all_8_4 = all_6_2 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (362), (363) imply: % 79.72/11.67 | (409) all_8_5 = all_4_11 % 79.72/11.67 | % 79.72/11.67 | SIMP: (409) implies: % 79.72/11.67 | (410) all_8_5 = all_4_11 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (346), (347) imply: % 79.72/11.67 | (411) all_8_8 = all_6_12 % 79.72/11.67 | % 79.72/11.67 | SIMP: (411) implies: % 79.72/11.67 | (412) all_8_8 = all_6_12 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (330), (331) imply: % 79.72/11.67 | (413) all_8_14 = all_4_13 % 79.72/11.67 | % 79.72/11.67 | SIMP: (413) implies: % 79.72/11.67 | (414) all_8_14 = all_4_13 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (314), (316) imply: % 79.72/11.67 | (415) all_8_22 = all_4_14 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (314), (315) imply: % 79.72/11.67 | (416) all_8_22 = all_6_22 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (375), (376) imply: % 79.72/11.67 | (417) all_8_9 = all_4_15 % 79.72/11.67 | % 79.72/11.67 | SIMP: (417) implies: % 79.72/11.67 | (418) all_8_9 = all_4_15 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (359), (360) imply: % 79.72/11.67 | (419) all_8_10 = all_6_8 % 79.72/11.67 | % 79.72/11.67 | SIMP: (419) implies: % 79.72/11.67 | (420) all_8_10 = all_6_8 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (342), (343) imply: % 79.72/11.67 | (421) all_8_11 = all_4_17 % 79.72/11.67 | % 79.72/11.67 | SIMP: (421) implies: % 79.72/11.67 | (422) all_8_11 = all_4_17 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (327), (328) imply: % 79.72/11.67 | (423) all_8_15 = all_4_18 % 79.72/11.67 | % 79.72/11.67 | SIMP: (423) implies: % 79.72/11.67 | (424) all_8_15 = all_4_18 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (311), (313) imply: % 79.72/11.67 | (425) all_8_23 = all_4_19 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (311), (312) imply: % 79.72/11.67 | (426) all_8_23 = all_6_23 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (372), (373) imply: % 79.72/11.67 | (427) all_8_16 = all_4_20 % 79.72/11.67 | % 79.72/11.67 | SIMP: (427) implies: % 79.72/11.67 | (428) all_8_16 = all_4_20 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (356), (357) imply: % 79.72/11.67 | (429) all_8_17 = all_4_21 % 79.72/11.67 | % 79.72/11.67 | SIMP: (429) implies: % 79.72/11.67 | (430) all_8_17 = all_4_21 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (338), (340) imply: % 79.72/11.67 | (431) all_8_18 = all_4_22 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (338), (339) imply: % 79.72/11.67 | (432) all_8_18 = all_6_14 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (324), (325) imply: % 79.72/11.67 | (433) all_8_19 = all_4_23 % 79.72/11.67 | % 79.72/11.67 | SIMP: (433) implies: % 79.72/11.67 | (434) all_8_19 = all_4_23 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (309), (310) imply: % 79.72/11.67 | (435) all_8_24 = all_4_24 % 79.72/11.67 | % 79.72/11.67 | SIMP: (435) implies: % 79.72/11.67 | (436) all_8_24 = all_4_24 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (383), (384) imply: % 79.72/11.67 | (437) all_6_0 = all_4_0 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (383), (388) imply: % 79.72/11.67 | (438) all_6_0 = e0 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (397), (398) imply: % 79.72/11.67 | (439) all_6_1 = all_4_5 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (367), (390) imply: % 79.72/11.67 | (440) all_6_5 = e1 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (367), (368) imply: % 79.72/11.67 | (441) all_6_5 = all_4_1 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (399), (400) imply: % 79.72/11.67 | (442) all_6_6 = all_4_6 % 79.72/11.67 | % 79.72/11.67 | SIMP: (442) implies: % 79.72/11.67 | (443) all_6_6 = all_4_6 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (407), (408) imply: % 79.72/11.67 | (444) all_6_2 = all_4_10 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (361), (410) imply: % 79.72/11.67 | (445) all_6_7 = all_4_11 % 79.72/11.67 | % 79.72/11.67 | SIMP: (445) implies: % 79.72/11.67 | (446) all_6_7 = all_4_11 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (352), (392) imply: % 79.72/11.67 | (447) all_6_10 = e3 % 79.72/11.67 | % 79.72/11.67 | SIMP: (447) implies: % 79.72/11.67 | (448) all_6_10 = e3 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (348), (402) imply: % 79.72/11.67 | (449) all_6_11 = all_4_7 % 79.72/11.67 | % 79.72/11.67 | SIMP: (449) implies: % 79.72/11.67 | (450) all_6_11 = all_4_7 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (345), (412) imply: % 79.72/11.67 | (451) all_6_12 = e4 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (344), (412) imply: % 79.72/11.67 | (452) all_6_12 = all_4_12 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (374), (418) imply: % 79.72/11.67 | (453) all_6_3 = all_4_15 % 79.72/11.67 | % 79.72/11.67 | SIMP: (453) implies: % 79.72/11.67 | (454) all_6_3 = all_4_15 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (358), (420) imply: % 79.72/11.67 | (455) all_6_8 = all_4_16 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (341), (422) imply: % 79.72/11.67 | (456) all_6_13 = all_4_17 % 79.72/11.67 | % 79.72/11.67 | SIMP: (456) implies: % 79.72/11.67 | (457) all_6_13 = all_4_17 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (335), (394) imply: % 79.72/11.67 | (458) all_6_15 = all_4_3 % 79.72/11.67 | % 79.72/11.67 | SIMP: (458) implies: % 79.72/11.67 | (459) all_6_15 = all_4_3 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (403), (404) imply: % 79.72/11.67 | (460) all_6_16 = all_4_8 % 79.72/11.67 | % 79.72/11.67 | SIMP: (460) implies: % 79.72/11.67 | (461) all_6_16 = all_4_8 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (329), (414) imply: % 79.72/11.67 | (462) all_6_17 = all_4_13 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (326), (424) imply: % 79.72/11.67 | (463) all_6_18 = all_4_18 % 79.72/11.67 | % 79.72/11.67 | SIMP: (463) implies: % 79.72/11.67 | (464) all_6_18 = all_4_18 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (371), (428) imply: % 79.72/11.67 | (465) all_6_4 = all_4_20 % 79.72/11.67 | % 79.72/11.67 | SIMP: (465) implies: % 79.72/11.67 | (466) all_6_4 = all_4_20 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (355), (430) imply: % 79.72/11.67 | (467) all_6_9 = all_4_21 % 79.72/11.67 | % 79.72/11.67 | SIMP: (467) implies: % 79.72/11.67 | (468) all_6_9 = all_4_21 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (431), (432) imply: % 79.72/11.67 | (469) all_6_14 = all_4_22 % 79.72/11.67 | % 79.72/11.67 | SIMP: (469) implies: % 79.72/11.67 | (470) all_6_14 = all_4_22 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (323), (434) imply: % 79.72/11.67 | (471) all_6_19 = all_4_23 % 79.72/11.67 | % 79.72/11.67 | SIMP: (471) implies: % 79.72/11.67 | (472) all_6_19 = all_4_23 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (320), (396) imply: % 79.72/11.67 | (473) all_6_20 = all_4_4 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (317), (406) imply: % 79.72/11.67 | (474) all_6_21 = all_4_9 % 79.72/11.67 | % 79.72/11.67 | SIMP: (474) implies: % 79.72/11.67 | (475) all_6_21 = all_4_9 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (415), (416) imply: % 79.72/11.67 | (476) all_6_22 = all_4_14 % 79.72/11.67 | % 79.72/11.67 | SIMP: (476) implies: % 79.72/11.67 | (477) all_6_22 = all_4_14 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (425), (426) imply: % 79.72/11.67 | (478) all_6_23 = all_4_19 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (308), (436) imply: % 79.72/11.67 | (479) all_6_24 = all_4_24 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (437), (438) imply: % 79.72/11.67 | (480) all_4_0 = e0 % 79.72/11.67 | % 79.72/11.67 | SIMP: (480) implies: % 79.72/11.67 | (481) all_4_0 = e0 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (440), (441) imply: % 79.72/11.67 | (482) all_4_1 = e1 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (351), (448) imply: % 79.72/11.67 | (483) all_4_2 = e3 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (451), (452) imply: % 79.72/11.67 | (484) all_4_12 = e4 % 79.72/11.67 | % 79.72/11.67 | SIMP: (484) implies: % 79.72/11.67 | (485) all_4_12 = e4 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (360), (455) imply: % 79.72/11.67 | (486) all_10_47 = all_4_16 % 79.72/11.67 | % 79.72/11.67 | COMBINE_EQS: (347), (451) imply: % 79.72/11.67 | (487) all_10_35 = e4 % 79.72/11.67 | % 79.72/11.67 | REDUCE: (107), (481), (482) imply: % 79.72/11.67 | (488) ~ (e1 = e0) % 79.72/11.67 | % 79.72/11.67 | SIMP: (488) implies: % 79.72/11.67 | (489) ~ (e1 = e0) % 79.72/11.67 | % 79.72/11.67 | REDUCE: (106), (481), (483) imply: % 79.72/11.67 | (490) ~ (e3 = e0) % 79.72/11.67 | % 79.72/11.67 | SIMP: (490) implies: % 79.72/11.67 | (491) ~ (e3 = e0) % 79.72/11.67 | % 79.72/11.67 | REDUCE: (105), (481) imply: % 79.72/11.67 | (492) ~ (all_4_3 = e0) % 79.72/11.67 | % 79.72/11.67 | SIMP: (492) implies: % 79.72/11.68 | (493) ~ (all_4_3 = e0) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (104), (481) imply: % 79.72/11.68 | (494) ~ (all_4_4 = e0) % 79.72/11.68 | % 79.72/11.68 | SIMP: (494) implies: % 79.72/11.68 | (495) ~ (all_4_4 = e0) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (103), (481) imply: % 79.72/11.68 | (496) ~ (all_4_5 = e0) % 79.72/11.68 | % 79.72/11.68 | SIMP: (496) implies: % 79.72/11.68 | (497) ~ (all_4_5 = e0) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (102), (481) imply: % 79.72/11.68 | (498) ~ (all_4_10 = e0) % 79.72/11.68 | % 79.72/11.68 | SIMP: (498) implies: % 79.72/11.68 | (499) ~ (all_4_10 = e0) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (101), (481) imply: % 79.72/11.68 | (500) ~ (all_4_15 = e0) % 79.72/11.68 | % 79.72/11.68 | SIMP: (500) implies: % 79.72/11.68 | (501) ~ (all_4_15 = e0) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (100), (481) imply: % 79.72/11.68 | (502) ~ (all_4_20 = e0) % 79.72/11.68 | % 79.72/11.68 | SIMP: (502) implies: % 79.72/11.68 | (503) ~ (all_4_20 = e0) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (99), (482) imply: % 79.72/11.68 | (504) ~ (all_4_3 = e1) % 79.72/11.68 | % 79.72/11.68 | SIMP: (504) implies: % 79.72/11.68 | (505) ~ (all_4_3 = e1) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (98), (482) imply: % 79.72/11.68 | (506) ~ (all_4_4 = e1) % 79.72/11.68 | % 79.72/11.68 | SIMP: (506) implies: % 79.72/11.68 | (507) ~ (all_4_4 = e1) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (97), (482) imply: % 79.72/11.68 | (508) ~ (all_4_6 = e1) % 79.72/11.68 | % 79.72/11.68 | SIMP: (508) implies: % 79.72/11.68 | (509) ~ (all_4_6 = e1) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (96), (482) imply: % 79.72/11.68 | (510) ~ (all_4_11 = e1) % 79.72/11.68 | % 79.72/11.68 | SIMP: (510) implies: % 79.72/11.68 | (511) ~ (all_4_11 = e1) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (95), (482) imply: % 79.72/11.68 | (512) ~ (all_4_16 = e1) % 79.72/11.68 | % 79.72/11.68 | SIMP: (512) implies: % 79.72/11.68 | (513) ~ (all_4_16 = e1) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (94), (482) imply: % 79.72/11.68 | (514) ~ (all_4_21 = e1) % 79.72/11.68 | % 79.72/11.68 | SIMP: (514) implies: % 79.72/11.68 | (515) ~ (all_4_21 = e1) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (93), (483) imply: % 79.72/11.68 | (516) ~ (all_4_3 = e3) % 79.72/11.68 | % 79.72/11.68 | SIMP: (516) implies: % 79.72/11.68 | (517) ~ (all_4_3 = e3) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (92), (483) imply: % 79.72/11.68 | (518) ~ (all_4_4 = e3) % 79.72/11.68 | % 79.72/11.68 | SIMP: (518) implies: % 79.72/11.68 | (519) ~ (all_4_4 = e3) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (91), (483) imply: % 79.72/11.68 | (520) ~ (all_4_7 = e3) % 79.72/11.68 | % 79.72/11.68 | SIMP: (520) implies: % 79.72/11.68 | (521) ~ (all_4_7 = e3) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (90), (483) imply: % 79.72/11.68 | (522) ~ (all_4_17 = e3) % 79.72/11.68 | % 79.72/11.68 | SIMP: (522) implies: % 79.72/11.68 | (523) ~ (all_4_17 = e3) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (89), (483) imply: % 79.72/11.68 | (524) ~ (all_4_22 = e3) % 79.72/11.68 | % 79.72/11.68 | SIMP: (524) implies: % 79.72/11.68 | (525) ~ (all_4_22 = e3) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (64), (485) imply: % 79.72/11.68 | (526) ~ (all_4_7 = e4) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (53), (485) imply: % 79.72/11.68 | (527) ~ (all_4_10 = e4) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (48), (485) imply: % 79.72/11.68 | (528) ~ (all_4_11 = e4) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (43), (485) imply: % 79.72/11.68 | (529) ~ (all_4_13 = e4) % 79.72/11.68 | % 79.72/11.68 | SIMP: (529) implies: % 79.72/11.68 | (530) ~ (all_4_13 = e4) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (42), (485) imply: % 79.72/11.68 | (531) ~ (all_4_14 = e4) % 79.72/11.68 | % 79.72/11.68 | SIMP: (531) implies: % 79.72/11.68 | (532) ~ (all_4_14 = e4) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (41), (485) imply: % 79.72/11.68 | (533) ~ (all_4_17 = e4) % 79.72/11.68 | % 79.72/11.68 | SIMP: (533) implies: % 79.72/11.68 | (534) ~ (all_4_17 = e4) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (40), (485) imply: % 79.72/11.68 | (535) ~ (all_4_22 = e4) % 79.72/11.68 | % 79.72/11.68 | SIMP: (535) implies: % 79.72/11.68 | (536) ~ (all_4_22 = e4) % 79.72/11.68 | % 79.72/11.68 | REDUCE: (301), (370) imply: % 79.72/11.68 | (537) op(e4, e1) = all_10_2 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (300), (354) imply: % 79.72/11.68 | (538) op(e4, e3) = all_10_5 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (299), (337) imply: % 79.72/11.68 | (539) op(e4, all_4_3) = all_10_8 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (298), (322) imply: % 79.72/11.68 | (540) op(e4, all_4_4) = all_10_11 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (297), (373) imply: % 79.72/11.68 | (541) op(e4, all_4_20) = all_10_57 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (291), (370) imply: % 79.72/11.68 | (542) op(e3, e1) = all_10_3 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (290), (382) imply: % 79.72/11.68 | (543) op(e3, all_4_5) = all_10_14 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (289), (350) imply: % 79.72/11.68 | (544) op(e3, all_4_7) = all_10_19 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (288), (334) imply: % 79.72/11.68 | (545) op(e3, all_4_8) = all_10_22 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (287), (319) imply: % 79.72/11.68 | (546) op(e3, all_4_9) = all_10_25 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (286), (363) imply: % 79.72/11.68 | (547) op(e3, all_4_11) = all_10_32 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (285), (486) imply: % 79.72/11.68 | (548) op(e3, all_4_16) = all_10_46 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (284), (357) imply: % 79.72/11.68 | (549) op(e3, all_4_21) = all_10_60 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (278), (354) imply: % 79.72/11.68 | (550) op(e2, e3) = all_10_6 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (277), (350) imply: % 79.72/11.68 | (551) op(e2, all_4_7) = all_10_20 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (276), (379) imply: % 79.72/11.68 | (552) op(e2, all_4_10) = all_10_28 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (275), (363) imply: % 79.72/11.68 | (553) op(e2, all_4_11) = all_10_31 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (274), (331) imply: % 79.72/11.68 | (554) op(e2, all_4_13) = all_10_36 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (273), (343) imply: % 79.72/11.68 | (555) op(e2, all_4_17) = all_10_49 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (272), (340) imply: % 79.72/11.68 | (556) op(e2, all_4_22) = all_10_63 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (266), (337) imply: % 79.72/11.68 | (557) op(e1, all_4_3) = all_10_9 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (265), (334) imply: % 79.72/11.68 | (558) op(e1, all_4_8) = all_10_23 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (264), (331) imply: % 79.72/11.68 | (559) op(e1, all_4_13) = all_10_37 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (263), (376) imply: % 79.72/11.68 | (560) op(e1, all_4_15) = all_10_42 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (262), (486) imply: % 79.72/11.68 | (561) op(e1, all_4_16) = all_10_45 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (261), (343) imply: % 79.72/11.68 | (562) op(e1, all_4_17) = all_10_48 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (260), (313) imply: % 79.72/11.68 | (563) op(e1, all_4_19) = all_10_53 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (259), (325) imply: % 79.72/11.68 | (564) op(e1, all_4_23) = all_10_66 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (253), (322) imply: % 79.72/11.68 | (565) op(e0, all_4_4) = all_10_12 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (252), (319) imply: % 79.72/11.68 | (566) op(e0, all_4_9) = all_10_26 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (251), (316) imply: % 79.72/11.68 | (567) op(e0, all_4_14) = all_10_40 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (250), (313) imply: % 79.72/11.68 | (568) op(e0, all_4_19) = all_10_54 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (249), (373) imply: % 79.72/11.68 | (569) op(e0, all_4_20) = all_10_56 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (248), (357) imply: % 79.72/11.68 | (570) op(e0, all_4_21) = all_10_59 % 79.72/11.68 | % 79.72/11.68 | REDUCE: (247), (340) imply: % 79.72/11.68 | (571) op(e0, all_4_22) = all_10_62 % 79.72/11.68 | % 79.72/11.69 | REDUCE: (246), (325) imply: % 79.72/11.69 | (572) op(e0, all_4_23) = all_10_65 % 79.72/11.69 | % 79.72/11.69 | GROUND_INST: instantiating (function-axioms) with all_4_7, all_10_6, e3, e2, % 79.72/11.69 | simplifying with (121), (550) gives: % 79.72/11.69 | (573) all_10_6 = all_4_7 % 79.72/11.69 | % 79.72/11.69 | GROUND_INST: instantiating (function-axioms) with all_4_16, all_10_3, e1, e3, % 79.72/11.69 | simplifying with (124), (542) gives: % 79.72/11.69 | (574) all_10_3 = all_4_16 % 79.72/11.69 | % 79.72/11.69 | GROUND_INST: instantiating (function-axioms) with all_4_15, all_10_2, e1, e4, % 79.72/11.69 | simplifying with (129), (537) gives: % 79.72/11.69 | (575) all_10_2 = all_4_15 % 79.72/11.69 | % 79.72/11.69 | GROUND_INST: instantiating (function-axioms) with all_4_5, all_10_5, e3, e4, % 79.72/11.69 | simplifying with (131), (538) gives: % 79.72/11.69 | (576) all_10_5 = all_4_5 % 79.72/11.69 | % 79.72/11.69 | BETA: splitting (205) gives: % 79.72/11.69 | % 79.72/11.69 | Case 1: % 79.72/11.69 | | % 79.72/11.69 | | (577) all_8_24 = e0 % 79.72/11.69 | | % 79.72/11.69 | | COMBINE_EQS: (436), (577) imply: % 79.72/11.69 | | (578) all_4_24 = e0 % 79.72/11.69 | | % 79.72/11.69 | | SIMP: (578) implies: % 79.72/11.69 | | (579) all_4_24 = e0 % 79.72/11.69 | | % 79.72/11.69 | | REDUCE: (35), (579) imply: % 79.72/11.69 | | (580) ~ (all_4_14 = e0) % 79.72/11.69 | | % 79.72/11.69 | | REDUCE: (13), (579) imply: % 79.72/11.69 | | (581) ~ (all_4_21 = e0) % 79.72/11.69 | | % 79.72/11.69 | | REDUCE: (11), (579) imply: % 79.72/11.69 | | (582) ~ (all_4_22 = e0) % 79.72/11.69 | | % 79.72/11.69 | | REDUCE: (10), (579) imply: % 79.72/11.69 | | (583) ~ (all_4_23 = e0) % 79.72/11.69 | | % 79.72/11.69 | | BETA: splitting (167) gives: % 79.72/11.69 | | % 79.72/11.69 | | Case 1: % 79.72/11.69 | | | % 79.72/11.69 | | | (584) all_6_15 = e4 % 79.72/11.69 | | | % 79.72/11.69 | | | COMBINE_EQS: (459), (584) imply: % 79.72/11.69 | | | (585) all_4_3 = e4 % 79.72/11.69 | | | % 79.72/11.69 | | | SIMP: (585) implies: % 79.72/11.69 | | | (586) all_4_3 = e4 % 79.72/11.69 | | | % 79.72/11.69 | | | REDUCE: (88), (586) imply: % 79.72/11.69 | | | (587) ~ (all_4_4 = e4) % 79.72/11.69 | | | % 79.72/11.69 | | | SIMP: (587) implies: % 79.72/11.69 | | | (588) ~ (all_4_4 = e4) % 79.72/11.69 | | | % 79.72/11.69 | | | REDUCE: (85), (586) imply: % 79.72/11.69 | | | (589) ~ (all_4_18 = e4) % 79.72/11.69 | | | % 79.72/11.69 | | | SIMP: (589) implies: % 79.72/11.69 | | | (590) ~ (all_4_18 = e4) % 79.72/11.69 | | | % 79.72/11.69 | | | REDUCE: (505), (586) imply: % 79.72/11.69 | | | (591) ~ (e4 = e1) % 79.72/11.69 | | | % 79.72/11.69 | | | REDUCE: (493), (586) imply: % 79.72/11.69 | | | (592) ~ (e4 = e0) % 79.72/11.69 | | | % 79.72/11.69 | | | REDUCE: (539), (586) imply: % 79.72/11.69 | | | (593) op(e4, e4) = all_10_8 % 79.72/11.69 | | | % 79.72/11.69 | | | BETA: splitting (162) gives: % 79.72/11.69 | | | % 79.72/11.69 | | | Case 1: % 79.72/11.69 | | | | % 79.72/11.69 | | | | (594) all_6_20 = e4 % 79.72/11.69 | | | | % 79.72/11.69 | | | | COMBINE_EQS: (473), (594) imply: % 79.72/11.69 | | | | (595) all_4_4 = e4 % 79.72/11.69 | | | | % 79.72/11.69 | | | | REDUCE: (588), (595) imply: % 79.72/11.69 | | | | (596) $false % 80.08/11.69 | | | | % 80.08/11.69 | | | | CLOSE: (596) is inconsistent. % 80.08/11.69 | | | | % 80.08/11.69 | | | Case 2: % 80.08/11.69 | | | | % 80.08/11.69 | | | | (597) ~ (all_6_20 = e4) % 80.08/11.69 | | | | (598) all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20 = e0 % 80.08/11.69 | | | | % 80.08/11.69 | | | | BETA: splitting (598) gives: % 80.08/11.69 | | | | % 80.08/11.69 | | | | Case 1: % 80.08/11.69 | | | | | % 80.08/11.69 | | | | | (599) all_6_20 = e2 % 80.08/11.69 | | | | | % 80.08/11.69 | | | | | COMBINE_EQS: (473), (599) imply: % 80.08/11.69 | | | | | (600) all_4_4 = e2 % 80.08/11.69 | | | | | % 80.08/11.69 | | | | | COMBINE_EQS: (322), (600) imply: % 80.08/11.69 | | | | | (601) all_10_13 = e2 % 80.08/11.69 | | | | | % 80.08/11.69 | | | | | REDUCE: (81), (600) imply: % 80.08/11.69 | | | | | (602) ~ (all_4_19 = e2) % 80.08/11.69 | | | | | % 80.08/11.69 | | | | | SIMP: (602) implies: % 80.08/11.69 | | | | | (603) ~ (all_4_19 = e2) % 80.08/11.69 | | | | | % 80.08/11.69 | | | | | REDUCE: (588), (600) imply: % 80.08/11.69 | | | | | (604) ~ (e4 = e2) % 80.08/11.69 | | | | | % 80.08/11.69 | | | | | SIMP: (604) implies: % 80.08/11.69 | | | | | (605) ~ (e4 = e2) % 80.08/11.69 | | | | | % 80.08/11.69 | | | | | REDUCE: (519), (600) imply: % 80.08/11.69 | | | | | (606) ~ (e3 = e2) % 80.08/11.69 | | | | | % 80.08/11.69 | | | | | SIMP: (606) implies: % 80.08/11.69 | | | | | (607) ~ (e3 = e2) % 80.08/11.69 | | | | | % 80.08/11.69 | | | | | REDUCE: (540), (600) imply: % 80.08/11.69 | | | | | (608) op(e4, e2) = all_10_11 % 80.08/11.69 | | | | | % 80.08/11.69 | | | | | GROUND_INST: instantiating (function-axioms) with all_4_10, all_10_11, % 80.08/11.69 | | | | | e2, e4, simplifying with (130), (608) gives: % 80.08/11.69 | | | | | (609) all_10_11 = all_4_10 % 80.08/11.69 | | | | | % 80.08/11.69 | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_8, e4, % 80.08/11.69 | | | | | e4, simplifying with (7), (593) gives: % 80.08/11.69 | | | | | (610) all_10_8 = e0 % 80.08/11.69 | | | | | % 80.08/11.69 | | | | | BETA: splitting (168) gives: % 80.08/11.69 | | | | | % 80.08/11.69 | | | | | Case 1: % 80.08/11.69 | | | | | | % 80.08/11.69 | | | | | | (611) all_6_14 = e4 % 80.08/11.69 | | | | | | % 80.08/11.69 | | | | | | COMBINE_EQS: (470), (611) imply: % 80.08/11.69 | | | | | | (612) all_4_22 = e4 % 80.08/11.69 | | | | | | % 80.08/11.69 | | | | | | REDUCE: (536), (612) imply: % 80.08/11.69 | | | | | | (613) $false % 80.08/11.69 | | | | | | % 80.08/11.69 | | | | | | CLOSE: (613) is inconsistent. % 80.08/11.69 | | | | | | % 80.08/11.69 | | | | | Case 2: % 80.08/11.69 | | | | | | % 80.08/11.69 | | | | | | (614) all_6_14 = e3 | all_6_14 = e2 | all_6_14 = e1 | all_6_14 = % 80.08/11.69 | | | | | | e0 % 80.08/11.69 | | | | | | % 80.08/11.69 | | | | | | BETA: splitting (307) gives: % 80.08/11.69 | | | | | | % 80.08/11.69 | | | | | | Case 1: % 80.08/11.69 | | | | | | | % 80.08/11.69 | | | | | | | (615) (all_10_2 = e3 & ~ (all_10_3 = e4)) | (all_10_5 = e2 & % 80.08/11.69 | | | | | | | ~ (all_10_6 = e4)) % 80.08/11.69 | | | | | | | % 80.08/11.69 | | | | | | | BETA: splitting (615) gives: % 80.08/11.69 | | | | | | | % 80.08/11.69 | | | | | | | Case 1: % 80.08/11.69 | | | | | | | | % 80.08/11.69 | | | | | | | | (616) all_10_2 = e3 & ~ (all_10_3 = e4) % 80.08/11.69 | | | | | | | | % 80.08/11.69 | | | | | | | | ALPHA: (616) implies: % 80.08/11.69 | | | | | | | | (617) all_10_2 = e3 % 80.08/11.69 | | | | | | | | (618) ~ (all_10_3 = e4) % 80.08/11.69 | | | | | | | | % 80.08/11.69 | | | | | | | | COMBINE_EQS: (575), (617) imply: % 80.08/11.69 | | | | | | | | (619) all_4_15 = e3 % 80.08/11.69 | | | | | | | | % 80.08/11.69 | | | | | | | | REDUCE: (574), (618) imply: % 80.08/11.69 | | | | | | | | (620) ~ (all_4_16 = e4) % 80.08/11.69 | | | | | | | | % 80.08/11.69 | | | | | | | | REDUCE: (34), (619) imply: % 80.08/11.69 | | | | | | | | (621) ~ (all_4_16 = e3) % 80.08/11.69 | | | | | | | | % 80.08/11.69 | | | | | | | | SIMP: (621) implies: % 80.08/11.69 | | | | | | | | (622) ~ (all_4_16 = e3) % 80.08/11.69 | | | | | | | | % 80.08/11.69 | | | | | | | | BETA: splitting (302) gives: % 80.08/11.69 | | | | | | | | % 80.08/11.69 | | | | | | | | Case 1: % 80.08/11.69 | | | | | | | | | % 80.08/11.70 | | | | | | | | | (623) (( ~ (all_10_1 = e4) | ~ (unit = e4)) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_4 = e4) | ~ (unit = e4)) & ( ~ (all_10_7 % 80.08/11.70 | | | | | | | | | = e4) | ~ (unit = e4)) & ( ~ (all_10_10 = e4) % 80.08/11.70 | | | | | | | | | | ~ (unit = e4)) & ( ~ (all_10_13 = e4) | ~ % 80.08/11.70 | | | | | | | | | (unit = e4)) & ( ~ (all_10_16 = e4) | (all_10_1 = % 80.08/11.70 | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_18 = e4) | % 80.08/11.70 | | | | | | | | | (all_10_4 = e3 & ~ (unit = e4))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_21 = e4) | (all_10_7 = e3 & ~ (unit = % 80.08/11.70 | | | | | | | | | e4))) & ( ~ (all_10_24 = e4) | (all_10_10 = % 80.08/11.70 | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_27 = e4) | % 80.08/11.70 | | | | | | | | | (all_10_13 = e3 & ~ (unit = e4))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_30 = e4) | (all_10_1 = e2 & ~ (unit = % 80.08/11.70 | | | | | | | | | e4))) & ( ~ (all_10_33 = e4) | (all_10_4 = e2 % 80.08/11.70 | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_35 = e4) | % 80.08/11.70 | | | | | | | | | (all_10_7 = e2 & ~ (unit = e4))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_38 = e4) | (all_10_10 = e2 & ~ (unit = % 80.08/11.70 | | | | | | | | | e4))) & ( ~ (all_10_41 = e4) | (all_10_13 = % 80.08/11.70 | | | | | | | | | e2 & ~ (unit = e4))) & ( ~ (all_10_44 = e4) | % 80.08/11.70 | | | | | | | | | (all_10_1 = e1 & ~ (unit = e4))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_47 = e4) | (all_10_4 = e1 & ~ (unit = % 80.08/11.70 | | | | | | | | | e4))) & ( ~ (all_10_50 = e4) | (all_10_7 = e1 % 80.08/11.70 | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_52 = e4) | % 80.08/11.70 | | | | | | | | | (all_10_10 = e1 & ~ (unit = e4))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_55 = e4) | (all_10_13 = e1 & ~ (unit = % 80.08/11.70 | | | | | | | | | e4))) & ( ~ (all_10_58 = e4) | (all_10_1 = e0 % 80.08/11.70 | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_61 = e4) | % 80.08/11.70 | | | | | | | | | (all_10_4 = e0 & ~ (unit = e4))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_64 = e4) | (all_10_7 = e0 & ~ (unit = % 80.08/11.70 | | | | | | | | | e4))) & ( ~ (all_10_67 = e4) | (all_10_10 = % 80.08/11.70 | | | | | | | | | e0 & ~ (unit = e4))) & ( ~ (all_10_69 = e4) | % 80.08/11.70 | | | | | | | | | (all_10_13 = e0 & ~ (unit = e4)))) | (( ~ % 80.08/11.70 | | | | | | | | | (all_10_1 = e3) | (all_10_16 = e4 & ~ (unit = % 80.08/11.70 | | | | | | | | | e3))) & ( ~ (all_10_4 = e3) | (all_10_18 = e4 % 80.08/11.70 | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_7 = e3) | % 80.08/11.70 | | | | | | | | | (all_10_21 = e4 & ~ (unit = e3))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_10 = e3) | (all_10_24 = e4 & ~ (unit = % 80.08/11.70 | | | | | | | | | e3))) & ( ~ (all_10_13 = e3) | (all_10_27 = % 80.08/11.70 | | | | | | | | | e4 & ~ (unit = e3))) & ( ~ (all_10_16 = e3) | % 80.08/11.70 | | | | | | | | | ~ (unit = e3)) & ( ~ (all_10_18 = e3) | ~ (unit % 80.08/11.70 | | | | | | | | | = e3)) & ( ~ (all_10_21 = e3) | ~ (unit = e3)) % 80.08/11.70 | | | | | | | | | & ( ~ (all_10_24 = e3) | ~ (unit = e3)) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_27 = e3) | ~ (unit = e3)) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_30 = e3) | (all_10_16 = e2 & ~ (unit = % 80.08/11.70 | | | | | | | | | e3))) & ( ~ (all_10_33 = e3) | (all_10_18 = % 80.08/11.70 | | | | | | | | | e2 & ~ (unit = e3))) & ( ~ (all_10_35 = e3) | % 80.08/11.70 | | | | | | | | | (all_10_21 = e2 & ~ (unit = e3))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_38 = e3) | (all_10_24 = e2 & ~ (unit = % 80.08/11.70 | | | | | | | | | e3))) & ( ~ (all_10_41 = e3) | (all_10_27 = % 80.08/11.70 | | | | | | | | | e2 & ~ (unit = e3))) & ( ~ (all_10_44 = e3) | % 80.08/11.70 | | | | | | | | | (all_10_16 = e1 & ~ (unit = e3))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_47 = e3) | (all_10_18 = e1 & ~ (unit = % 80.08/11.70 | | | | | | | | | e3))) & ( ~ (all_10_50 = e3) | (all_10_21 = % 80.08/11.70 | | | | | | | | | e1 & ~ (unit = e3))) & ( ~ (all_10_52 = e3) | % 80.08/11.70 | | | | | | | | | (all_10_24 = e1 & ~ (unit = e3))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_55 = e3) | (all_10_27 = e1 & ~ (unit = % 80.08/11.70 | | | | | | | | | e3))) & ( ~ (all_10_58 = e3) | (all_10_16 = % 80.08/11.70 | | | | | | | | | e0 & ~ (unit = e3))) & ( ~ (all_10_61 = e3) | % 80.08/11.70 | | | | | | | | | (all_10_18 = e0 & ~ (unit = e3))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_64 = e3) | (all_10_21 = e0 & ~ (unit = % 80.08/11.70 | | | | | | | | | e3))) & ( ~ (all_10_67 = e3) | (all_10_24 = % 80.08/11.70 | | | | | | | | | e0 & ~ (unit = e3))) & ( ~ (all_10_69 = e3) | % 80.08/11.70 | | | | | | | | | (all_10_27 = e0 & ~ (unit = e3)))) % 80.08/11.70 | | | | | | | | | % 80.08/11.70 | | | | | | | | | REF_CLOSE: (350), (354), (487), (526), (607), (623) are % 80.08/11.70 | | | | | | | | | inconsistent by sub-proof #184. % 80.08/11.70 | | | | | | | | | % 80.08/11.70 | | | | | | | | Case 2: % 80.08/11.70 | | | | | | | | | % 80.08/11.70 | | | | | | | | | (624) (( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit = % 80.08/11.70 | | | | | | | | | e2))) & ( ~ (all_10_4 = e2) | (all_10_33 = e4 % 80.08/11.70 | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_7 = e2) | % 80.08/11.70 | | | | | | | | | (all_10_35 = e4 & ~ (unit = e2))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit = % 80.08/11.70 | | | | | | | | | e2))) & ( ~ (all_10_13 = e2) | (all_10_41 = % 80.08/11.70 | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_16 = e2) | % 80.08/11.70 | | | | | | | | | (all_10_30 = e3 & ~ (unit = e2))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_18 = e2) | (all_10_33 = e3 & ~ (unit = % 80.08/11.70 | | | | | | | | | e2))) & ( ~ (all_10_21 = e2) | (all_10_35 = % 80.08/11.70 | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_24 = e2) | % 80.08/11.70 | | | | | | | | | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit = % 80.08/11.70 | | | | | | | | | e2))) & ( ~ (all_10_30 = e2) | ~ (unit = % 80.08/11.70 | | | | | | | | | e2)) & ( ~ (all_10_33 = e2) | ~ (unit = e2)) & % 80.08/11.70 | | | | | | | | | ( ~ (all_10_35 = e2) | ~ (unit = e2)) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_38 = e2) | ~ (unit = e2)) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_41 = e2) | ~ (unit = e2)) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_44 = e2) | (all_10_30 = e1 & ~ (unit = % 80.08/11.70 | | | | | | | | | e2))) & ( ~ (all_10_47 = e2) | (all_10_33 = % 80.08/11.70 | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_50 = e2) | % 80.08/11.70 | | | | | | | | | (all_10_35 = e1 & ~ (unit = e2))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_52 = e2) | (all_10_38 = e1 & ~ (unit = % 80.08/11.70 | | | | | | | | | e2))) & ( ~ (all_10_55 = e2) | (all_10_41 = % 80.08/11.70 | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_58 = e2) | % 80.08/11.70 | | | | | | | | | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit = % 80.08/11.70 | | | | | | | | | e2))) & ( ~ (all_10_64 = e2) | (all_10_35 = % 80.08/11.70 | | | | | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_67 = e2) | % 80.08/11.70 | | | | | | | | | (all_10_38 = e0 & ~ (unit = e2))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit = % 80.08/11.70 | | | | | | | | | e2)))) | (( ~ (all_10_1 = e1) | (all_10_44 = % 80.08/11.70 | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_4 = e1) | % 80.08/11.70 | | | | | | | | | (all_10_47 = e4 & ~ (unit = e1))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_7 = e1) | (all_10_50 = e4 & ~ (unit = % 80.08/11.70 | | | | | | | | | e1))) & ( ~ (all_10_10 = e1) | (all_10_52 = % 80.08/11.70 | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_13 = e1) | % 80.08/11.70 | | | | | | | | | (all_10_55 = e4 & ~ (unit = e1))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit = % 80.08/11.70 | | | | | | | | | e1))) & ( ~ (all_10_18 = e1) | (all_10_47 = % 80.08/11.70 | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_21 = e1) | % 80.08/11.70 | | | | | | | | | (all_10_50 = e3 & ~ (unit = e1))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_24 = e1) | (all_10_52 = e3 & ~ (unit = % 80.08/11.70 | | | | | | | | | e1))) & ( ~ (all_10_27 = e1) | (all_10_55 = % 80.08/11.70 | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_30 = e1) | % 80.08/11.70 | | | | | | | | | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit = % 80.08/11.70 | | | | | | | | | e1))) & ( ~ (all_10_35 = e1) | (all_10_50 = % 80.08/11.70 | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_38 = e1) | % 80.08/11.70 | | | | | | | | | (all_10_52 = e2 & ~ (unit = e1))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_41 = e1) | (all_10_55 = e2 & ~ (unit = % 80.08/11.70 | | | | | | | | | e1))) & ( ~ (all_10_44 = e1) | ~ (unit = % 80.08/11.70 | | | | | | | | | e1)) & ( ~ (all_10_47 = e1) | ~ (unit = e1)) & % 80.08/11.70 | | | | | | | | | ( ~ (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit = % 80.08/11.70 | | | | | | | | | e1))) & ( ~ (all_10_61 = e1) | (all_10_47 = % 80.08/11.70 | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_64 = e1) | % 80.08/11.70 | | | | | | | | | (all_10_50 = e0 & ~ (unit = e1))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_67 = e1) | (all_10_52 = e0 & ~ (unit = % 80.08/11.70 | | | | | | | | | e1))) & ( ~ (all_10_69 = e1) | (all_10_55 = % 80.08/11.70 | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_1 = e0) | % 80.08/11.70 | | | | | | | | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = % 80.08/11.70 | | | | | | | | | e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = e4 % 80.08/11.70 | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_10 = e0) | % 80.08/11.70 | | | | | | | | | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit = % 80.08/11.70 | | | | | | | | | e0))) & ( ~ (all_10_16 = e0) | (all_10_58 = % 80.08/11.70 | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_18 = e0) | % 80.08/11.70 | | | | | | | | | (all_10_61 = e3 & ~ (unit = e0))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_21 = e0) | (all_10_64 = e3 & ~ (unit = % 80.08/11.70 | | | | | | | | | e0))) & ( ~ (all_10_24 = e0) | (all_10_67 = % 80.08/11.70 | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_27 = e0) | % 80.08/11.70 | | | | | | | | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit = % 80.08/11.70 | | | | | | | | | e0))) & ( ~ (all_10_33 = e0) | (all_10_61 = % 80.08/11.70 | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_35 = e0) | % 80.08/11.70 | | | | | | | | | (all_10_64 = e2 & ~ (unit = e0))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_38 = e0) | (all_10_67 = e2 & ~ (unit = % 80.08/11.70 | | | | | | | | | e0))) & ( ~ (all_10_41 = e0) | (all_10_69 = % 80.08/11.70 | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_44 = e0) | % 80.08/11.70 | | | | | | | | | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit = % 80.08/11.70 | | | | | | | | | e0))) & ( ~ (all_10_50 = e0) | (all_10_64 = % 80.08/11.70 | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_52 = e0) | % 80.08/11.70 | | | | | | | | | (all_10_67 = e1 & ~ (unit = e0))) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_55 = e0) | (all_10_69 = e1 & ~ (unit = % 80.08/11.70 | | | | | | | | | e0))) & ( ~ (all_10_58 = e0) | ~ (unit = % 80.08/11.70 | | | | | | | | | e0)) & ( ~ (all_10_61 = e0) | ~ (unit = e0)) & % 80.08/11.70 | | | | | | | | | ( ~ (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 80.08/11.70 | | | | | | | | | (all_10_69 = e0) | ~ (unit = e0))) % 80.08/11.70 | | | | | | | | | % 80.08/11.70 | | | | | | | | | BETA: splitting (624) gives: % 80.08/11.70 | | | | | | | | | % 80.08/11.70 | | | | | | | | | Case 1: % 80.08/11.70 | | | | | | | | | | % 80.08/11.70 | | | | | | | | | | (625) ( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit = % 80.08/11.70 | | | | | | | | | | e2))) & ( ~ (all_10_4 = e2) | (all_10_33 = e4 % 80.08/11.70 | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_7 = e2) | % 80.08/11.70 | | | | | | | | | | (all_10_35 = e4 & ~ (unit = e2))) & ( ~ % 80.08/11.70 | | | | | | | | | | (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit = % 80.08/11.70 | | | | | | | | | | e2))) & ( ~ (all_10_13 = e2) | (all_10_41 = % 80.08/11.70 | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_16 = e2) | % 80.08/11.70 | | | | | | | | | | (all_10_30 = e3 & ~ (unit = e2))) & ( ~ % 80.08/11.70 | | | | | | | | | | (all_10_18 = e2) | (all_10_33 = e3 & ~ (unit = % 80.08/11.70 | | | | | | | | | | e2))) & ( ~ (all_10_21 = e2) | (all_10_35 = % 80.08/11.70 | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_24 = e2) | % 80.08/11.70 | | | | | | | | | | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 80.08/11.70 | | | | | | | | | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit = % 80.08/11.70 | | | | | | | | | | e2))) & ( ~ (all_10_30 = e2) | ~ (unit = % 80.08/11.70 | | | | | | | | | | e2)) & ( ~ (all_10_33 = e2) | ~ (unit = e2)) & % 80.08/11.70 | | | | | | | | | | ( ~ (all_10_35 = e2) | ~ (unit = e2)) & ( ~ % 80.08/11.70 | | | | | | | | | | (all_10_38 = e2) | ~ (unit = e2)) & ( ~ % 80.08/11.70 | | | | | | | | | | (all_10_41 = e2) | ~ (unit = e2)) & ( ~ % 80.08/11.70 | | | | | | | | | | (all_10_44 = e2) | (all_10_30 = e1 & ~ (unit = % 80.08/11.70 | | | | | | | | | | e2))) & ( ~ (all_10_47 = e2) | (all_10_33 = % 80.08/11.70 | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_50 = e2) | % 80.08/11.70 | | | | | | | | | | (all_10_35 = e1 & ~ (unit = e2))) & ( ~ % 80.08/11.70 | | | | | | | | | | (all_10_52 = e2) | (all_10_38 = e1 & ~ (unit = % 80.08/11.70 | | | | | | | | | | e2))) & ( ~ (all_10_55 = e2) | (all_10_41 = % 80.08/11.70 | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_58 = e2) | % 80.08/11.70 | | | | | | | | | | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 80.08/11.70 | | | | | | | | | | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit = % 80.08/11.70 | | | | | | | | | | e2))) & ( ~ (all_10_64 = e2) | (all_10_35 = % 80.08/11.70 | | | | | | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_67 = e2) | % 80.08/11.70 | | | | | | | | | | (all_10_38 = e0 & ~ (unit = e2))) & ( ~ % 80.08/11.70 | | | | | | | | | | (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit = % 80.08/11.70 | | | | | | | | | | e2))) % 80.08/11.70 | | | | | | | | | | % 80.08/11.70 | | | | | | | | | | ALPHA: (625) implies: % 80.08/11.70 | | | | | | | | | | (626) ~ (all_10_13 = e2) | (all_10_41 = e4 & ~ (unit = % 80.08/11.70 | | | | | | | | | | e2)) % 80.08/11.70 | | | | | | | | | | % 80.08/11.70 | | | | | | | | | | REF_CLOSE: (316), (532), (601), (626) are inconsistent by % 80.08/11.70 | | | | | | | | | | sub-proof #183. % 80.08/11.70 | | | | | | | | | | % 80.08/11.70 | | | | | | | | | Case 2: % 80.08/11.70 | | | | | | | | | | % 80.08/11.71 | | | | | | | | | | (627) (( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = % 80.08/11.71 | | | | | | | | | | e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = % 80.08/11.71 | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) | % 80.08/11.71 | | | | | | | | | | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 80.08/11.71 | | | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit = % 80.08/11.71 | | | | | | | | | | e1))) & ( ~ (all_10_13 = e1) | (all_10_55 = % 80.08/11.71 | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_16 = e1) % 80.08/11.71 | | | | | | | | | | | (all_10_44 = e3 & ~ (unit = e1))) & ( ~ % 80.08/11.71 | | | | | | | | | | (all_10_18 = e1) | (all_10_47 = e3 & ~ (unit = % 80.08/11.71 | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_50 = % 80.08/11.71 | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_24 = e1) % 80.08/11.71 | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 80.08/11.71 | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = % 80.08/11.71 | | | | | | | | | | e1))) & ( ~ (all_10_30 = e1) | (all_10_44 = % 80.08/11.71 | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_33 = e1) % 80.08/11.71 | | | | | | | | | | | (all_10_47 = e2 & ~ (unit = e1))) & ( ~ % 80.08/11.71 | | | | | | | | | | (all_10_35 = e1) | (all_10_50 = e2 & ~ (unit = % 80.08/11.71 | | | | | | | | | | e1))) & ( ~ (all_10_38 = e1) | (all_10_52 = % 80.08/11.71 | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_41 = e1) % 80.08/11.71 | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 80.08/11.71 | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.71 | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.71 | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.71 | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.71 | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.71 | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit = % 80.08/11.71 | | | | | | | | | | e1))) & ( ~ (all_10_61 = e1) | (all_10_47 = % 80.08/11.71 | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_64 = e1) % 80.08/11.71 | | | | | | | | | | | (all_10_50 = e0 & ~ (unit = e1))) & ( ~ % 80.08/11.71 | | | | | | | | | | (all_10_67 = e1) | (all_10_52 = e0 & ~ (unit = % 80.08/11.71 | | | | | | | | | | e1))) & ( ~ (all_10_69 = e1) | (all_10_55 = % 80.08/11.71 | | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_1 = e0) % 80.08/11.71 | | | | | | | | | | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ % 80.08/11.71 | | | | | | | | | | (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = % 80.08/11.71 | | | | | | | | | | e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = % 80.08/11.71 | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) % 80.08/11.71 | | | | | | | | | | | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ % 80.08/11.71 | | | | | | | | | | (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit = % 80.08/11.71 | | | | | | | | | | e0))) & ( ~ (all_10_16 = e0) | (all_10_58 = % 80.08/11.71 | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_18 = e0) % 80.08/11.71 | | | | | | | | | | | (all_10_61 = e3 & ~ (unit = e0))) & ( ~ % 80.08/11.71 | | | | | | | | | | (all_10_21 = e0) | (all_10_64 = e3 & ~ (unit = % 80.08/11.71 | | | | | | | | | | e0))) & ( ~ (all_10_24 = e0) | (all_10_67 = % 80.08/11.71 | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_27 = e0) % 80.08/11.71 | | | | | | | | | | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 80.08/11.71 | | | | | | | | | | (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit = % 80.08/11.71 | | | | | | | | | | e0))) & ( ~ (all_10_33 = e0) | (all_10_61 = % 80.08/11.71 | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_35 = e0) % 80.08/11.71 | | | | | | | | | | | (all_10_64 = e2 & ~ (unit = e0))) & ( ~ % 80.08/11.71 | | | | | | | | | | (all_10_38 = e0) | (all_10_67 = e2 & ~ (unit = % 80.08/11.71 | | | | | | | | | | e0))) & ( ~ (all_10_41 = e0) | (all_10_69 = % 80.08/11.71 | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_44 = e0) % 80.08/11.71 | | | | | | | | | | | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 80.08/11.71 | | | | | | | | | | (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit = % 80.08/11.71 | | | | | | | | | | e0))) & ( ~ (all_10_50 = e0) | (all_10_64 = % 80.08/11.71 | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_52 = e0) % 80.08/11.71 | | | | | | | | | | | (all_10_67 = e1 & ~ (unit = e0))) & ( ~ % 80.08/11.71 | | | | | | | | | | (all_10_55 = e0) | (all_10_69 = e1 & ~ (unit = % 80.08/11.71 | | | | | | | | | | e0))) & ( ~ (all_10_58 = e0) | ~ (unit = % 80.08/11.71 | | | | | | | | | | e0)) & ( ~ (all_10_61 = e0) | ~ (unit = e0)) % 80.08/11.71 | | | | | | | | | | & ( ~ (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 80.08/11.71 | | | | | | | | | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 80.08/11.71 | | | | | | | | | | (all_10_69 = e0) | ~ (unit = e0))) % 80.08/11.71 | | | | | | | | | | % 80.08/11.71 | | | | | | | | | | BETA: splitting (627) gives: % 80.08/11.71 | | | | | | | | | | % 80.08/11.71 | | | | | | | | | | Case 1: % 80.08/11.71 | | | | | | | | | | | % 80.08/11.71 | | | | | | | | | | | (628) ( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = % 80.08/11.71 | | | | | | | | | | | e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = % 80.08/11.71 | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) | % 80.08/11.71 | | | | | | | | | | | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 80.08/11.71 | | | | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit = % 80.08/11.71 | | | | | | | | | | | e1))) & ( ~ (all_10_13 = e1) | (all_10_55 = % 80.08/11.71 | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_16 = e1) | % 80.08/11.71 | | | | | | | | | | | (all_10_44 = e3 & ~ (unit = e1))) & ( ~ % 80.08/11.71 | | | | | | | | | | | (all_10_18 = e1) | (all_10_47 = e3 & ~ (unit = % 80.08/11.71 | | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_50 = % 80.08/11.71 | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_24 = e1) | % 80.08/11.71 | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 80.08/11.71 | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = % 80.08/11.71 | | | | | | | | | | | e1))) & ( ~ (all_10_30 = e1) | (all_10_44 = % 80.08/11.71 | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_33 = e1) | % 80.08/11.71 | | | | | | | | | | | (all_10_47 = e2 & ~ (unit = e1))) & ( ~ % 80.08/11.71 | | | | | | | | | | | (all_10_35 = e1) | (all_10_50 = e2 & ~ (unit = % 80.08/11.71 | | | | | | | | | | | e1))) & ( ~ (all_10_38 = e1) | (all_10_52 = % 80.08/11.71 | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_41 = e1) | % 80.08/11.71 | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 80.08/11.71 | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.71 | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.71 | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.71 | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.71 | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.71 | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit = % 80.08/11.71 | | | | | | | | | | | e1))) & ( ~ (all_10_61 = e1) | (all_10_47 = % 80.08/11.71 | | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_64 = e1) | % 80.08/11.71 | | | | | | | | | | | (all_10_50 = e0 & ~ (unit = e1))) & ( ~ % 80.08/11.71 | | | | | | | | | | | (all_10_67 = e1) | (all_10_52 = e0 & ~ (unit = % 80.08/11.71 | | | | | | | | | | | e1))) & ( ~ (all_10_69 = e1) | (all_10_55 = % 80.08/11.71 | | | | | | | | | | | e0 & ~ (unit = e1))) % 80.08/11.71 | | | | | | | | | | | % 80.08/11.71 | | | | | | | | | | | ALPHA: (628) implies: % 80.08/11.71 | | | | | | | | | | | (629) ~ (all_10_4 = e1) | (all_10_47 = e4 & ~ (unit = % 80.08/11.71 | | | | | | | | | | | e1)) % 80.08/11.71 | | | | | | | | | | | % 80.08/11.71 | | | | | | | | | | | REF_CLOSE: (370), (486), (620), (629) are inconsistent by % 80.08/11.71 | | | | | | | | | | | sub-proof #182. % 80.08/11.71 | | | | | | | | | | | % 80.08/11.71 | | | | | | | | | | Case 2: % 80.08/11.71 | | | | | | | | | | | % 80.08/11.71 | | | | | | | | | | | (630) ( ~ (all_10_1 = e0) | (all_10_58 = e4 & ~ (unit = % 80.08/11.71 | | | | | | | | | | | e0))) & ( ~ (all_10_4 = e0) | (all_10_61 = % 80.08/11.71 | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_7 = e0) | % 80.08/11.71 | | | | | | | | | | | (all_10_64 = e4 & ~ (unit = e0))) & ( ~ % 80.08/11.71 | | | | | | | | | | | (all_10_10 = e0) | (all_10_67 = e4 & ~ (unit = % 80.08/11.71 | | | | | | | | | | | e0))) & ( ~ (all_10_13 = e0) | (all_10_69 = % 80.08/11.71 | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_16 = e0) | % 80.08/11.71 | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 80.08/11.71 | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit = % 80.08/11.71 | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_64 = % 80.08/11.71 | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_24 = e0) | % 80.08/11.71 | | | | | | | | | | | (all_10_67 = e3 & ~ (unit = e0))) & ( ~ % 80.08/11.71 | | | | | | | | | | | (all_10_27 = e0) | (all_10_69 = e3 & ~ (unit = % 80.08/11.71 | | | | | | | | | | | e0))) & ( ~ (all_10_30 = e0) | (all_10_58 = % 80.08/11.71 | | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_33 = e0) | % 80.08/11.71 | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 80.08/11.71 | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit = % 80.08/11.71 | | | | | | | | | | | e0))) & ( ~ (all_10_38 = e0) | (all_10_67 = % 80.08/11.71 | | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_41 = e0) | % 80.08/11.71 | | | | | | | | | | | (all_10_69 = e2 & ~ (unit = e0))) & ( ~ % 80.08/11.71 | | | | | | | | | | | (all_10_44 = e0) | (all_10_58 = e1 & ~ (unit = % 80.08/11.71 | | | | | | | | | | | e0))) & ( ~ (all_10_47 = e0) | (all_10_61 = % 80.08/11.71 | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_50 = e0) | % 80.08/11.71 | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 80.08/11.71 | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit = % 80.08/11.71 | | | | | | | | | | | e0))) & ( ~ (all_10_55 = e0) | (all_10_69 = % 80.08/11.71 | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_58 = e0) | % 80.08/11.71 | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_61 = e0) | ~ % 80.08/11.71 | | | | | | | | | | | (unit = e0)) & ( ~ (all_10_64 = e0) | ~ (unit = % 80.08/11.71 | | | | | | | | | | | e0)) & ( ~ (all_10_67 = e0) | ~ (unit = e0)) % 80.08/11.71 | | | | | | | | | | | & ( ~ (all_10_69 = e0) | ~ (unit = e0)) % 80.08/11.71 | | | | | | | | | | | % 80.08/11.71 | | | | | | | | | | | ALPHA: (630) implies: % 80.08/11.71 | | | | | | | | | | | (631) ~ (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit = % 80.08/11.71 | | | | | | | | | | | e0)) % 80.08/11.71 | | | | | | | | | | | (632) ~ (all_10_33 = e0) | (all_10_61 = e2 & ~ (unit = % 80.08/11.71 | | | | | | | | | | | e0)) % 80.08/11.71 | | | | | | | | | | | (633) ~ (all_10_1 = e0) | (all_10_58 = e4 & ~ (unit = % 80.08/11.71 | | | | | | | | | | | e0)) % 80.08/11.71 | | | | | | | | | | | % 80.08/11.71 | | | | | | | | | | | BETA: splitting (633) gives: % 80.08/11.71 | | | | | | | | | | | % 80.08/11.71 | | | | | | | | | | | Case 1: % 80.08/11.71 | | | | | | | | | | | | % 80.08/11.71 | | | | | | | | | | | | (634) ~ (all_10_1 = e0) % 80.08/11.71 | | | | | | | | | | | | % 80.08/11.71 | | | | | | | | | | | | REDUCE: (386), (634) imply: % 80.08/11.71 | | | | | | | | | | | | (635) $false % 80.08/11.71 | | | | | | | | | | | | % 80.08/11.71 | | | | | | | | | | | | CLOSE: (635) is inconsistent. % 80.08/11.71 | | | | | | | | | | | | % 80.08/11.71 | | | | | | | | | | | Case 2: % 80.08/11.71 | | | | | | | | | | | | % 80.08/11.71 | | | | | | | | | | | | (636) all_10_58 = e4 & ~ (unit = e0) % 80.08/11.71 | | | | | | | | | | | | % 80.08/11.71 | | | | | | | | | | | | ALPHA: (636) implies: % 80.08/11.71 | | | | | | | | | | | | (637) all_10_58 = e4 % 80.08/11.71 | | | | | | | | | | | | % 80.08/11.71 | | | | | | | | | | | | COMBINE_EQS: (373), (637) imply: % 80.08/11.71 | | | | | | | | | | | | (638) all_4_20 = e4 % 80.08/11.71 | | | | | | | | | | | | % 80.08/11.71 | | | | | | | | | | | | SIMP: (638) implies: % 80.08/11.71 | | | | | | | | | | | | (639) all_4_20 = e4 % 80.08/11.71 | | | | | | | | | | | | % 80.08/11.71 | | | | | | | | | | | | REDUCE: (19), (639) imply: % 80.08/11.71 | | | | | | | | | | | | (640) ~ (all_4_21 = e4) % 80.08/11.71 | | | | | | | | | | | | % 80.08/11.71 | | | | | | | | | | | | SIMP: (640) implies: % 80.08/11.71 | | | | | | | | | | | | (641) ~ (all_4_21 = e4) % 80.08/11.71 | | | | | | | | | | | | % 80.08/11.71 | | | | | | | | | | | | BETA: splitting (631) gives: % 80.08/11.71 | | | | | | | | | | | | % 80.08/11.71 | | | | | | | | | | | | Case 1: % 80.08/11.71 | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | (642) ~ (all_10_47 = e0) % 80.08/11.72 | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | REDUCE: (486), (642) imply: % 80.08/11.72 | | | | | | | | | | | | | (643) ~ (all_4_16 = e0) % 80.08/11.72 | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | BETA: splitting (172) gives: % 80.08/11.72 | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | Case 1: % 80.08/11.72 | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | (644) all_6_8 = e4 % 80.08/11.72 | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | COMBINE_EQS: (455), (644) imply: % 80.08/11.72 | | | | | | | | | | | | | | (645) all_4_16 = e4 % 80.08/11.72 | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | REDUCE: (620), (645) imply: % 80.08/11.72 | | | | | | | | | | | | | | (646) $false % 80.08/11.72 | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | CLOSE: (646) is inconsistent. % 80.08/11.72 | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | Case 2: % 80.08/11.72 | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | (647) ~ (all_6_8 = e4) % 80.08/11.72 | | | | | | | | | | | | | | (648) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | % 80.08/11.72 | | | | | | | | | | | | | | all_6_8 = e0 % 80.08/11.72 | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | BETA: splitting (648) gives: % 80.08/11.72 | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | Case 1: % 80.08/11.72 | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | (649) all_6_8 = e2 % 80.08/11.72 | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | COMBINE_EQS: (455), (649) imply: % 80.08/11.72 | | | | | | | | | | | | | | | (650) all_4_16 = e2 % 80.08/11.72 | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | COMBINE_EQS: (358), (650) imply: % 80.08/11.72 | | | | | | | | | | | | | | | (651) all_8_10 = e2 % 80.08/11.72 | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | REDUCE: (26), (650) imply: % 80.08/11.72 | | | | | | | | | | | | | | | (652) ~ (all_4_21 = e2) % 80.08/11.72 | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | SIMP: (652) implies: % 80.08/11.72 | | | | | | | | | | | | | | | (653) ~ (all_4_21 = e2) % 80.08/11.72 | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | REDUCE: (643), (650) imply: % 80.08/11.72 | | | | | | | | | | | | | | | (654) ~ (e2 = e0) % 80.08/11.72 | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | BETA: splitting (228) gives: % 80.08/11.72 | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | Case 1: % 80.08/11.72 | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | (655) all_8_2 = e0 % 80.08/11.72 | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (655) imply: % 80.08/11.72 | | | | | | | | | | | | | | | | (656) e1 = e0 % 80.08/11.72 | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | REDUCE: (489), (656) imply: % 80.08/11.72 | | | | | | | | | | | | | | | | (657) $false % 80.08/11.72 | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | CLOSE: (657) is inconsistent. % 80.08/11.72 | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | Case 2: % 80.08/11.72 | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | (658) all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | % 80.08/11.72 | | | | | | | | | | | | | | | | all_8_17 = e0 % 80.08/11.72 | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | BETA: splitting (658) gives: % 80.08/11.72 | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | Case 1: % 80.08/11.72 | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | (659) all_8_3 = e0 % 80.08/11.72 | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (659) imply: % 80.08/11.72 | | | | | | | | | | | | | | | | | (660) all_4_6 = e0 % 80.08/11.72 | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | BETA: splitting (231) gives: % 80.08/11.72 | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | Case 1: % 80.08/11.72 | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | (661) all_8_2 = e4 % 80.08/11.72 | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | REF_CLOSE: (390), (591), (661) are inconsistent by sub-proof % 80.08/11.72 | | | | | | | | | | | | | | | | | | #181. % 80.08/11.72 | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | Case 2: % 80.08/11.72 | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | (662) all_8_3 = e4 | all_8_5 = e4 | all_8_10 = e4 | % 80.08/11.72 | | | | | | | | | | | | | | | | | | all_8_17 = e4 % 80.08/11.72 | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | BETA: splitting (662) gives: % 80.08/11.72 | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | Case 1: % 80.08/11.72 | | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | | (663) all_8_3 = e4 % 80.08/11.72 | | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (592), (659), (663) are inconsistent by sub-proof % 80.08/11.72 | | | | | | | | | | | | | | | | | | | #180. % 80.08/11.72 | | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | Case 2: % 80.08/11.72 | | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | | (664) all_8_5 = e4 | all_8_10 = e4 | all_8_17 = e4 % 80.08/11.72 | | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (358), (410), (430), (528), (620), (641), (664) % 80.08/11.72 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #176. % 80.08/11.72 | | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | End of split % 80.08/11.72 | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | End of split % 80.08/11.72 | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | Case 2: % 80.08/11.72 | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | (665) all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0 % 80.08/11.72 | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | BETA: splitting (665) gives: % 80.08/11.72 | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | Case 1: % 80.08/11.72 | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | (666) all_8_5 = e0 % 80.08/11.72 | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (666) imply: % 80.08/11.72 | | | | | | | | | | | | | | | | | | (667) all_4_11 = e0 % 80.08/11.72 | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (363), (667) imply: % 80.08/11.72 | | | | | | | | | | | | | | | | | | (668) all_10_33 = e0 % 80.08/11.72 | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | REF_CLOSE: (357), (632), (653), (668) are inconsistent by % 80.08/11.72 | | | | | | | | | | | | | | | | | | sub-proof #174. % 80.08/11.72 | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | Case 2: % 80.08/11.72 | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | (669) all_8_10 = e0 | all_8_17 = e0 % 80.08/11.72 | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | BETA: splitting (669) gives: % 80.08/11.72 | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | Case 1: % 80.08/11.72 | | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | | (670) all_8_10 = e0 % 80.08/11.72 | | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (651), (670) imply: % 80.08/11.72 | | | | | | | | | | | | | | | | | | | (671) e2 = e0 % 80.08/11.72 | | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | | SIMP: (671) implies: % 80.08/11.72 | | | | | | | | | | | | | | | | | | | (672) e2 = e0 % 80.08/11.72 | | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | | REDUCE: (654), (672) imply: % 80.08/11.72 | | | | | | | | | | | | | | | | | | | (673) $false % 80.08/11.72 | | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | | CLOSE: (673) is inconsistent. % 80.08/11.72 | | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | Case 2: % 80.08/11.72 | | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | | (674) all_8_17 = e0 % 80.08/11.72 | | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (430), (581), (674) are inconsistent by sub-proof % 80.08/11.72 | | | | | | | | | | | | | | | | | | | #173. % 80.08/11.72 | | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | | End of split % 80.08/11.72 | | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | | End of split % 80.08/11.72 | | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | | End of split % 80.08/11.72 | | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | End of split % 80.08/11.72 | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | Case 2: % 80.08/11.72 | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | (675) all_6_8 = e3 | all_6_8 = e1 | all_6_8 = e0 % 80.08/11.72 | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | | REF_CLOSE: (455), (513), (622), (643), (675) are inconsistent % 80.08/11.72 | | | | | | | | | | | | | | | by sub-proof #171. % 80.08/11.72 | | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | | End of split % 80.08/11.72 | | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | End of split % 80.08/11.72 | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | Case 2: % 80.08/11.72 | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | (676) all_10_61 = e1 & ~ (unit = e0) % 80.08/11.72 | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | | REF_CLOSE: (357), (515), (676) are inconsistent by sub-proof % 80.08/11.72 | | | | | | | | | | | | | #170. % 80.08/11.72 | | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | | End of split % 80.08/11.72 | | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | | End of split % 80.08/11.72 | | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | End of split % 80.08/11.72 | | | | | | | | | | % 80.08/11.72 | | | | | | | | | End of split % 80.08/11.72 | | | | | | | | | % 80.08/11.72 | | | | | | | | End of split % 80.08/11.72 | | | | | | | | % 80.08/11.72 | | | | | | | Case 2: % 80.08/11.72 | | | | | | | | % 80.08/11.72 | | | | | | | | (677) all_10_5 = e2 & ~ (all_10_6 = e4) % 80.08/11.72 | | | | | | | | % 80.08/11.72 | | | | | | | | ALPHA: (677) implies: % 80.08/11.72 | | | | | | | | (678) all_10_5 = e2 % 80.08/11.72 | | | | | | | | (679) ~ (all_10_6 = e4) % 80.08/11.72 | | | | | | | | % 80.08/11.72 | | | | | | | | COMBINE_EQS: (576), (678) imply: % 80.08/11.72 | | | | | | | | (680) all_4_5 = e2 % 80.08/11.72 | | | | | | | | % 80.08/11.72 | | | | | | | | SIMP: (680) implies: % 80.08/11.72 | | | | | | | | (681) all_4_5 = e2 % 80.08/11.72 | | | | | | | | % 80.08/11.72 | | | | | | | | COMBINE_EQS: (397), (681) imply: % 80.08/11.72 | | | | | | | | (682) all_8_1 = e2 % 80.08/11.72 | | | | | | | | % 80.08/11.72 | | | | | | | | REDUCE: (78), (681) imply: % 80.08/11.72 | | | | | | | | (683) ~ (all_4_7 = e2) % 80.08/11.72 | | | | | | | | % 80.08/11.72 | | | | | | | | SIMP: (683) implies: % 80.08/11.72 | | | | | | | | (684) ~ (all_4_7 = e2) % 80.08/11.72 | | | | | | | | % 80.08/11.72 | | | | | | | | REDUCE: (75), (681) imply: % 80.08/11.72 | | | | | | | | (685) ~ (all_4_10 = e2) % 80.08/11.72 | | | | | | | | % 80.08/11.72 | | | | | | | | SIMP: (685) implies: % 80.08/11.72 | | | | | | | | (686) ~ (all_4_10 = e2) % 80.08/11.72 | | | | | | | | % 80.08/11.72 | | | | | | | | REDUCE: (74), (681) imply: % 80.08/11.72 | | | | | | | | (687) ~ (all_4_15 = e2) % 80.08/11.72 | | | | | | | | % 80.08/11.72 | | | | | | | | SIMP: (687) implies: % 80.08/11.72 | | | | | | | | (688) ~ (all_4_15 = e2) % 80.08/11.72 | | | | | | | | % 80.08/11.72 | | | | | | | | BETA: splitting (170) gives: % 80.08/11.72 | | | | | | | | % 80.08/11.72 | | | | | | | | Case 1: % 80.08/11.72 | | | | | | | | | % 80.08/11.72 | | | | | | | | | (689) all_6_11 = e4 % 80.08/11.72 | | | | | | | | | % 80.08/11.72 | | | | | | | | | REF_CLOSE: (450), (526), (689) are inconsistent by sub-proof % 80.08/11.72 | | | | | | | | | #169. % 80.08/11.72 | | | | | | | | | % 80.08/11.72 | | | | | | | | Case 2: % 80.08/11.72 | | | | | | | | | % 80.08/11.72 | | | | | | | | | (690) ~ (all_6_11 = e4) % 80.08/11.72 | | | | | | | | | (691) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 | % 80.08/11.72 | | | | | | | | | all_6_11 = e0 % 80.08/11.72 | | | | | | | | | % 80.08/11.72 | | | | | | | | | BETA: splitting (177) gives: % 80.08/11.72 | | | | | | | | | % 80.08/11.72 | | | | | | | | | Case 1: % 80.08/11.72 | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | (692) all_6_2 = e4 % 80.08/11.72 | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | REF_CLOSE: (444), (527), (692) are inconsistent by sub-proof % 80.08/11.72 | | | | | | | | | | #168. % 80.08/11.72 | | | | | | | | | | % 80.08/11.72 | | | | | | | | | Case 2: % 80.08/11.72 | | | | | | | | | | % 80.08/11.72 | | | | | | | | | | (693) ~ (all_6_2 = e4) % 80.08/11.72 | | | | | | | | | | (694) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | % 80.08/11.72 | | | | | | | | | | all_6_2 = e0 % 80.08/11.73 | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | BETA: splitting (239) gives: % 80.08/11.73 | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | Case 1: % 80.08/11.73 | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | (695) all_8_0 = e4 % 80.08/11.73 | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | COMBINE_EQS: (388), (695) imply: % 80.08/11.73 | | | | | | | | | | | (696) e4 = e0 % 80.08/11.73 | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | REDUCE: (592), (696) imply: % 80.08/11.73 | | | | | | | | | | | (697) $false % 80.08/11.73 | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | CLOSE: (697) is inconsistent. % 80.08/11.73 | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | Case 2: % 80.08/11.73 | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | (698) all_8_1 = e4 | all_8_4 = e4 | all_8_9 = e4 | % 80.08/11.73 | | | | | | | | | | | all_8_16 = e4 % 80.08/11.73 | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | BETA: splitting (176) gives: % 80.08/11.73 | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | Case 1: % 80.08/11.73 | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | (699) all_6_3 = e4 % 80.08/11.73 | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | COMBINE_EQS: (454), (699) imply: % 80.08/11.73 | | | | | | | | | | | | (700) all_4_15 = e4 % 80.08/11.73 | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | REDUCE: (34), (700) imply: % 80.08/11.73 | | | | | | | | | | | | (701) ~ (all_4_16 = e4) % 80.08/11.73 | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | SIMP: (701) implies: % 80.08/11.73 | | | | | | | | | | | | (702) ~ (all_4_16 = e4) % 80.08/11.73 | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | REDUCE: (30), (700) imply: % 80.08/11.73 | | | | | | | | | | | | (703) ~ (all_4_20 = e4) % 80.08/11.73 | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | SIMP: (703) implies: % 80.08/11.73 | | | | | | | | | | | | (704) ~ (all_4_20 = e4) % 80.08/11.73 | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | REF_CLOSE: (302), (316), (350), (354), (370), (373), (386), % 80.08/11.73 | | | | | | | | | | | | (486), (487), (526), (532), (601), (607), (702), % 80.08/11.73 | | | | | | | | | | | | (704) are inconsistent by sub-proof #165. % 80.08/11.73 | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | Case 2: % 80.08/11.73 | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | (705) ~ (all_6_3 = e4) % 80.08/11.73 | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | REDUCE: (454), (705) imply: % 80.08/11.73 | | | | | | | | | | | | (706) ~ (all_4_15 = e4) % 80.08/11.73 | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | BETA: splitting (698) gives: % 80.08/11.73 | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | Case 1: % 80.08/11.73 | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | (707) all_8_1 = e4 % 80.08/11.73 | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | COMBINE_EQS: (682), (707) imply: % 80.08/11.73 | | | | | | | | | | | | | (708) e4 = e2 % 80.08/11.73 | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | REDUCE: (605), (708) imply: % 80.08/11.73 | | | | | | | | | | | | | (709) $false % 80.08/11.73 | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | CLOSE: (709) is inconsistent. % 80.08/11.73 | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | Case 2: % 80.08/11.73 | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | (710) all_8_4 = e4 | all_8_9 = e4 | all_8_16 = e4 % 80.08/11.73 | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | BETA: splitting (710) gives: % 80.08/11.73 | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | Case 1: % 80.08/11.73 | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | (711) all_8_4 = e4 % 80.08/11.73 | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | COMBINE_EQS: (407), (711) imply: % 80.08/11.73 | | | | | | | | | | | | | | (712) all_4_10 = e4 % 80.08/11.73 | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | REDUCE: (527), (712) imply: % 80.08/11.73 | | | | | | | | | | | | | | (713) $false % 80.08/11.73 | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | CLOSE: (713) is inconsistent. % 80.08/11.73 | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | Case 2: % 80.08/11.73 | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | (714) all_8_9 = e4 | all_8_16 = e4 % 80.08/11.73 | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | BETA: splitting (714) gives: % 80.08/11.73 | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | Case 1: % 80.08/11.73 | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | (715) all_8_9 = e4 % 80.08/11.73 | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | REF_CLOSE: (418), (706), (715) are inconsistent by sub-proof % 80.08/11.73 | | | | | | | | | | | | | | | #164. % 80.08/11.73 | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | Case 2: % 80.08/11.73 | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | (716) all_8_16 = e4 % 80.08/11.73 | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | COMBINE_EQS: (428), (716) imply: % 80.08/11.73 | | | | | | | | | | | | | | | (717) all_4_20 = e4 % 80.08/11.73 | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | SIMP: (717) implies: % 80.08/11.73 | | | | | | | | | | | | | | | (718) all_4_20 = e4 % 80.08/11.73 | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | BETA: splitting (236) gives: % 80.08/11.73 | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | Case 1: % 80.08/11.73 | | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | | (719) all_8_0 = e1 % 80.08/11.73 | | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (719) imply: % 80.08/11.73 | | | | | | | | | | | | | | | | (720) e1 = e0 % 80.08/11.73 | | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | | REDUCE: (489), (720) imply: % 80.08/11.73 | | | | | | | | | | | | | | | | (721) $false % 80.08/11.73 | | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | | CLOSE: (721) is inconsistent. % 80.08/11.73 | | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | Case 2: % 80.08/11.73 | | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | | (722) all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 | % 80.08/11.73 | | | | | | | | | | | | | | | | all_8_16 = e1 % 80.08/11.73 | | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | | BETA: splitting (223) gives: % 80.08/11.73 | | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | | Case 1: % 80.08/11.73 | | | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | | | (723) all_8_6 = e2 % 80.08/11.73 | | | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | | | REF_CLOSE: (392), (607), (723) are inconsistent by sub-proof % 80.08/11.73 | | | | | | | | | | | | | | | | | #163. % 80.08/11.73 | | | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | | Case 2: % 80.08/11.73 | | | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | | | (724) ~ (all_8_6 = e2) % 80.08/11.73 | | | | | | | | | | | | | | | | | (725) all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 | % 80.08/11.73 | | | | | | | | | | | | | | | | | all_8_18 = e2 % 80.08/11.73 | | | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | | | BETA: splitting (221) gives: % 80.08/11.73 | | | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | | | Case 1: % 80.08/11.73 | | | | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | | | | (726) all_8_6 = e0 % 80.08/11.73 | | | | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | | | | REF_CLOSE: (392), (491), (726) are inconsistent by sub-proof % 80.08/11.73 | | | | | | | | | | | | | | | | | | #162. % 80.08/11.73 | | | | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | | | Case 2: % 80.08/11.73 | | | | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | | | | (727) all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | % 80.08/11.73 | | | | | | | | | | | | | | | | | | all_8_18 = e0 % 80.08/11.73 | | | | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives: % 80.08/11.73 | | | | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | | | | Case 1: % 80.08/11.73 | | | | | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (728) (( ~ (all_10_1 = e4) | ~ (unit = e4)) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_4 = e4) | ~ (unit = e4)) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_7 = e4) | ~ (unit = e4)) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_10 = e4) | ~ (unit = e4)) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_13 = e4) | ~ (unit = e4)) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_16 = e4) | (all_10_1 = e3 & ~ (unit = % 80.08/11.73 | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_18 = e4) | (all_10_4 = % 80.08/11.73 | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_21 = e4) % 80.08/11.73 | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3 & ~ (unit = e4))) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_24 = e4) | (all_10_10 = e3 & ~ (unit % 80.08/11.73 | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_27 = e4) | % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_13 = e3 & ~ (unit = e4))) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_30 = e4) | (all_10_1 = e2 & ~ (unit = % 80.08/11.73 | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_33 = e4) | (all_10_4 = % 80.08/11.73 | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e4))) & ( ~ (all_10_35 = e4) % 80.08/11.73 | | | | | | | | | | | | | | | | | | | | (all_10_7 = e2 & ~ (unit = e4))) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_38 = e4) | (all_10_10 = e2 & ~ (unit % 80.08/11.73 | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_41 = e4) | % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_13 = e2 & ~ (unit = e4))) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_44 = e4) | (all_10_1 = e1 & ~ (unit = % 80.08/11.73 | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_47 = e4) | (all_10_4 = % 80.08/11.73 | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e4))) & ( ~ (all_10_50 = e4) % 80.08/11.73 | | | | | | | | | | | | | | | | | | | | (all_10_7 = e1 & ~ (unit = e4))) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_52 = e4) | (all_10_10 = e1 & ~ (unit % 80.08/11.73 | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_55 = e4) | % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e4))) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_58 = e4) | (all_10_1 = e0 & ~ (unit = % 80.08/11.73 | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_61 = e4) | (all_10_4 = % 80.08/11.73 | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4))) & ( ~ (all_10_64 = e4) % 80.08/11.73 | | | | | | | | | | | | | | | | | | | | (all_10_7 = e0 & ~ (unit = e4))) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_67 = e4) | (all_10_10 = e0 & ~ (unit % 80.08/11.73 | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_69 = e4) | % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_13 = e0 & ~ (unit = e4)))) | (( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_16 = e4 & ~ (unit = % 80.08/11.73 | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_4 = e3) | (all_10_18 = % 80.08/11.73 | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e3))) & ( ~ (all_10_7 = e3) % 80.08/11.73 | | | | | | | | | | | | | | | | | | | | (all_10_21 = e4 & ~ (unit = e3))) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_10 = e3) | (all_10_24 = e4 & ~ (unit % 80.08/11.73 | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_13 = e3) | % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_27 = e4 & ~ (unit = e3))) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_16 = e3) | ~ (unit = e3)) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_18 = e3) | ~ (unit = e3)) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_21 = e3) | ~ (unit = e3)) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_24 = e3) | ~ (unit = e3)) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_27 = e3) | ~ (unit = e3)) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_30 = e3) | (all_10_16 = e2 & ~ (unit % 80.08/11.73 | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_33 = e3) | % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_18 = e2 & ~ (unit = e3))) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_35 = e3) | (all_10_21 = e2 & ~ (unit % 80.08/11.73 | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_38 = e3) | % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_24 = e2 & ~ (unit = e3))) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_41 = e3) | (all_10_27 = e2 & ~ (unit % 80.08/11.73 | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_44 = e3) | % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_16 = e1 & ~ (unit = e3))) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_47 = e3) | (all_10_18 = e1 & ~ (unit % 80.08/11.73 | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_50 = e3) | % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_52 = e3) | (all_10_24 = e1 & ~ (unit % 80.08/11.73 | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_55 = e3) | % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_27 = e1 & ~ (unit = e3))) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_58 = e3) | (all_10_16 = e0 & ~ (unit % 80.08/11.73 | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_61 = e3) | % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_18 = e0 & ~ (unit = e3))) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_64 = e3) | (all_10_21 = e0 & ~ (unit % 80.08/11.73 | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_67 = e3) | % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_24 = e0 & ~ (unit = e3))) & ( ~ % 80.08/11.73 | | | | | | | | | | | | | | | | | | | (all_10_69 = e3) | (all_10_27 = e0 & ~ (unit % 80.08/11.73 | | | | | | | | | | | | | | | | | | | = e3)))) % 80.08/11.73 | | | | | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (350), (354), (487), (526), (607), (728) are % 80.08/11.73 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #184. % 80.08/11.73 | | | | | | | | | | | | | | | | | | | % 80.08/11.73 | | | | | | | | | | | | | | | | | | Case 2: % 80.08/11.73 | | | | | | | | | | | | | | | | | | | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (729) (( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_4 = e2) | (all_10_33 % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2))) & ( ~ (all_10_7 = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | e2) | (all_10_35 = e4 & ~ (unit = e2))) & ( % 80.08/11.74 | | | | | | | | | | | | | | | | | | | ~ (all_10_10 = e2) | (all_10_38 = e4 & ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (unit = e2))) & ( ~ (all_10_13 = e2) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_41 = e4 & ~ (unit = e2))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_16 = e2) | (all_10_30 = e3 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_18 = e2) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_33 = e3 & ~ (unit = e2))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_21 = e2) | (all_10_35 = e3 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_24 = e2) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_30 = e2) | ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_33 = e2) | ~ (unit = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_35 = e2) | ~ (unit = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_38 = e2) | ~ (unit = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_41 = e2) | ~ (unit = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_44 = e2) | (all_10_30 = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_47 = e2) % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | (all_10_33 = e1 & ~ (unit = e2))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_50 = e2) | (all_10_35 = e1 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_52 = e2) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_38 = e1 & ~ (unit = e2))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_55 = e2) | (all_10_41 = e1 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_58 = e2) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_64 = e2) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_35 = e0 & ~ (unit = e2))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_67 = e2) | (all_10_38 = e0 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_69 = e2) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_41 = e0 & ~ (unit = e2)))) | (( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_55 = e4 & ~ (unit = e1))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_18 = e1) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_47 = e3 & ~ (unit = e1))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_24 = e1) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_30 = e1) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_35 = e1) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_50 = e2 & ~ (unit = e1))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_41 = e1) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_61 = e1) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_47 = e0 & ~ (unit = e1))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_64 = e1) | (all_10_50 = e0 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_67 = e1) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_52 = e0 & ~ (unit = e1))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_69 = e1) | (all_10_55 = e0 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e1)))) | (( ~ (all_10_1 = e0) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_16 = e0) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_21 = e0) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_27 = e0) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_33 = e0) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_38 = e0) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_44 = e0) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_50 = e0) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit % 80.08/11.74 | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_55 = e0) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_58 = e0) | ~ (unit = e0)) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | ~ (unit = e0)) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | (all_10_69 = e0) | ~ (unit = e0))) % 80.08/11.74 | | | | | | | | | | | | | | | | | | | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | BETA: splitting (729) gives: % 80.08/11.74 | | | | | | | | | | | | | | | | | | | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | Case 1: % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | (730) ( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_4 = e2) | (all_10_33 = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_7 = e2) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | (all_10_35 = e4 & ~ (unit = e2))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_13 = e2) | (all_10_41 = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_16 = e2) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | (all_10_30 = e3 & ~ (unit = e2))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | (all_10_18 = e2) | (all_10_33 = e3 & ~ (unit = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_21 = e2) | (all_10_35 = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_24 = e2) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_30 = e2) | ~ (unit = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_33 = e2) | ~ (unit = e2)) % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | & ( ~ (all_10_35 = e2) | ~ (unit = e2)) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | (all_10_38 = e2) | ~ (unit = e2)) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | (all_10_41 = e2) | ~ (unit = e2)) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | (all_10_44 = e2) | (all_10_30 = e1 & ~ (unit = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_47 = e2) | (all_10_33 = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_50 = e2) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | (all_10_35 = e1 & ~ (unit = e2))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | (all_10_52 = e2) | (all_10_38 = e1 & ~ (unit = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_55 = e2) | (all_10_41 = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_58 = e2) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_64 = e2) | (all_10_35 = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_67 = e2) | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | (all_10_38 = e0 & ~ (unit = e2))) & ( ~ % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | e2))) % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | ALPHA: (730) implies: % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | (731) ~ (all_10_13 = e2) | (all_10_41 = e4 & ~ (unit = % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | e2)) % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (316), (532), (601), (731) are inconsistent by % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | sub-proof #183. % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | % 80.08/11.74 | | | | | | | | | | | | | | | | | | | Case 2: % 80.08/11.74 | | | | | | | | | | | | | | | | | | | | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (732) (( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_4 = e1) | (all_10_47 % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1))) & ( ~ (all_10_7 = % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | e1) | (all_10_50 = e4 & ~ (unit = e1))) & ( % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | ~ (all_10_10 = e1) | (all_10_52 = e4 & ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (unit = e1))) & ( ~ (all_10_13 = e1) | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_55 = e4 & ~ (unit = e1))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_18 = e1) | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_47 = e3 & ~ (unit = e1))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_24 = e1) | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_30 = e1) | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_35 = e1) | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_50 = e2 & ~ (unit = e1))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_41 = e1) | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_61 = e1) | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_47 = e0 & ~ (unit = e1))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_64 = e1) | (all_10_50 = e0 & ~ (unit % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_67 = e1) | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0 & ~ (unit = e1))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_69 = e1) | (all_10_55 = e0 & ~ (unit % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | = e1)))) | (( ~ (all_10_1 = e0) | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_16 = e0) | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_21 = e0) | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_27 = e0) | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_33 = e0) | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_38 = e0) | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_44 = e0) | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_50 = e0) | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_55 = e0) | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_58 = e0) | ~ (unit = e0)) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | ~ (unit = e0)) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | (all_10_69 = e0) | ~ (unit = e0))) % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | BETA: splitting (732) gives: % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | Case 1: % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (733) ( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit = % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_13 = e1) | (all_10_55 = % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_16 = e1) | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e3 & ~ (unit = e1))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_47 = e3 & ~ (unit = % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_50 = % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_24 = e1) | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_30 = e1) | (all_10_44 = % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_33 = e1) | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e2 & ~ (unit = e1))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e1) | (all_10_50 = e2 & ~ (unit = % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_38 = e1) | (all_10_52 = % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_41 = e1) | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit = % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_61 = e1) | (all_10_47 = % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_64 = e1) | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e0 & ~ (unit = e1))) & ( ~ % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e1) | (all_10_52 = e0 & ~ (unit = % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_69 = e1) | (all_10_55 = % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (32), (33), (38), (52), (222), (225), (313), % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (316), (328), (331), (343), (345), (350), (376), % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (379), (392), (402), (407), (410), (414), (415), % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (418), (422), (444), (499), (511), (523), (530), % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (590), (591), (603), (682), (684), (686), (688), % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | (694), (716), (722), (725), (733) are inconsistent % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | by sub-proof #151. % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | Case 2: % 80.08/11.75 | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | (734) ( ~ (all_10_1 = e0) | (all_10_58 = e4 & ~ (unit = % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_4 = e0) | (all_10_61 = % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_7 = e0) | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e4 & ~ (unit = e0))) & ( ~ % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e0) | (all_10_67 = e4 & ~ (unit = % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_13 = e0) | (all_10_69 = % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_16 = e0) | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit = % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_64 = % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_24 = e0) | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e3 & ~ (unit = e0))) & ( ~ % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e0) | (all_10_69 = e3 & ~ (unit = % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_30 = e0) | (all_10_58 = % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_33 = e0) | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit = % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_38 = e0) | (all_10_67 = % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_41 = e0) | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e2 & ~ (unit = e0))) & ( ~ % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e0) | (all_10_58 = e1 & ~ (unit = % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_47 = e0) | (all_10_61 = % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_50 = e0) | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit = % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_55 = e0) | (all_10_69 = % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_58 = e0) | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_61 = e0) | ~ % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | (unit = e0)) & ( ~ (all_10_64 = e0) | ~ (unit = % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | e0)) & ( ~ (all_10_67 = e0) | ~ (unit = e0)) % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_10_69 = e0) | ~ (unit = e0)) % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | ALPHA: (734) implies: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | (735) ~ (all_10_50 = e0) | (all_10_64 = e1 & ~ (unit = % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | e0)) % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | (736) ~ (all_10_21 = e0) | (all_10_64 = e3 & ~ (unit = % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | e0)) % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (736) gives: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | (737) ~ (all_10_21 = e0) % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (737) imply: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | (738) ~ (all_4_7 = e0) % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (691) gives: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | (739) all_6_11 = e2 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (684), (739) are inconsistent by sub-proof % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | #150. % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | (740) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (740) gives: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | (741) all_6_11 = e3 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (521), (741) are inconsistent by sub-proof % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | #149. % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | (742) all_6_11 = e1 | all_6_11 = e0 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (742) gives: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | (743) all_6_11 = e1 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (743) imply: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | (744) all_4_7 = e1 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (744) implies: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | (745) all_4_7 = e1 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (745) imply: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | (746) all_8_7 = e1 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (745) imply: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | (747) ~ (all_4_22 = e1) % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (747) implies: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | (748) ~ (all_4_22 = e1) % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (614) gives: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (749) all_6_14 = e2 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (749) imply: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (750) all_4_22 = e2 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (750) implies: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (751) all_4_22 = e2 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (751) imply: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (752) all_8_18 = e2 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (340), (751) imply: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (753) all_10_64 = e2 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (751) imply: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (754) ~ (e2 = e1) % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (751) imply: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (755) ~ (e2 = e0) % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (727) gives: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (756) all_8_7 = e0 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (746), (756) are inconsistent by sub-proof % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | #148. % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (757) all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (757) gives: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (758) all_8_8 = e0 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (345), (592), (758) are inconsistent by sub-proof % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #147. % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (759) all_8_11 = e0 | all_8_18 = e0 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (759) gives: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (760) all_8_11 = e0 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (760) imply: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (761) all_4_17 = e0 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (761) implies: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (762) all_4_17 = e0 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (762) imply: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (763) all_10_50 = e0 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (735) gives: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (764) ~ (all_10_50 = e0) % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (763), (764) imply: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (765) $false % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (765) is inconsistent. % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (766) all_10_64 = e1 & ~ (unit = e0) % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (766) implies: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (767) all_10_64 = e1 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (753), (767) imply: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (768) e2 = e1 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (768) implies: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (769) e2 = e1 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (754), (769) imply: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (770) $false % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (770) is inconsistent. % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (771) all_8_18 = e0 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (752), (771) imply: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (772) e2 = e0 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (772) implies: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (773) e2 = e0 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (755), (773) imply: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (774) $false % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (774) is inconsistent. % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (775) all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (775) gives: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (776) all_6_14 = e3 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (525), (776) are inconsistent by sub-proof % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | #146. % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (777) all_6_14 = e1 | all_6_14 = e0 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (777) gives: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (778) all_6_14 = e1 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (748), (778) are inconsistent by sub-proof % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #145. % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (779) all_6_14 = e0 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (582), (779) are inconsistent by sub-proof % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #144. % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | (780) all_6_11 = e0 % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (738), (780) are inconsistent by sub-proof % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | #143. % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | End of split % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | (781) all_10_64 = e3 & ~ (unit = e0) % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (340), (525), (781) are inconsistent by sub-proof % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | #142. % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | End of split % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | End of split % 80.08/11.76 | | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | | End of split % 80.08/11.76 | | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | | End of split % 80.08/11.76 | | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | | End of split % 80.08/11.76 | | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | | End of split % 80.08/11.76 | | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | | End of split % 80.08/11.76 | | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | | End of split % 80.08/11.76 | | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | | End of split % 80.08/11.76 | | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | | End of split % 80.08/11.76 | | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | | End of split % 80.08/11.76 | | | | | | | | | | | % 80.08/11.76 | | | | | | | | | | End of split % 80.08/11.76 | | | | | | | | | | % 80.08/11.76 | | | | | | | | | End of split % 80.08/11.76 | | | | | | | | | % 80.08/11.76 | | | | | | | | End of split % 80.08/11.76 | | | | | | | | % 80.08/11.76 | | | | | | | End of split % 80.08/11.76 | | | | | | | % 80.08/11.76 | | | | | | Case 2: % 80.08/11.76 | | | | | | | % 80.08/11.76 | | | | | | | (782) (all_10_8 = e1 & ~ (all_10_9 = e4)) | (all_10_11 = e0 & % 80.08/11.76 | | | | | | | ~ (all_10_12 = e4)) % 80.08/11.76 | | | | | | | % 80.08/11.76 | | | | | | | REF_CLOSE: (489), (499), (609), (610), (782) are inconsistent by % 80.08/11.76 | | | | | | | sub-proof #141. % 80.08/11.76 | | | | | | | % 80.08/11.76 | | | | | | End of split % 80.08/11.76 | | | | | | % 80.08/11.76 | | | | | End of split % 80.08/11.76 | | | | | % 80.08/11.76 | | | | Case 2: % 80.08/11.76 | | | | | % 80.08/11.76 | | | | | (783) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0 % 80.08/11.76 | | | | | % 80.08/11.76 | | | | | REF_CLOSE: (473), (495), (507), (519), (783) are inconsistent by % 80.08/11.76 | | | | | sub-proof #140. % 80.08/11.76 | | | | | % 80.08/11.76 | | | | End of split % 80.08/11.76 | | | | % 80.08/11.76 | | | End of split % 80.08/11.76 | | | % 80.08/11.76 | | Case 2: % 80.08/11.76 | | | % 80.08/11.77 | | | (784) all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1 | all_6_15 = e0 % 80.08/11.77 | | | % 80.08/11.77 | | | BETA: splitting (784) gives: % 80.08/11.77 | | | % 80.08/11.77 | | | Case 1: % 80.08/11.77 | | | | % 80.08/11.77 | | | | (785) all_6_15 = e2 % 80.08/11.77 | | | | % 80.08/11.77 | | | | COMBINE_EQS: (459), (785) imply: % 80.08/11.77 | | | | (786) all_4_3 = e2 % 80.08/11.77 | | | | % 80.08/11.77 | | | | SIMP: (786) implies: % 80.08/11.77 | | | | (787) all_4_3 = e2 % 80.08/11.77 | | | | % 80.08/11.77 | | | | COMBINE_EQS: (394), (787) imply: % 80.08/11.77 | | | | (788) all_8_12 = e2 % 80.08/11.77 | | | | % 80.08/11.77 | | | | COMBINE_EQS: (337), (787) imply: % 80.08/11.77 | | | | (789) all_10_10 = e2 % 80.08/11.77 | | | | % 80.08/11.77 | | | | REDUCE: (88), (787) imply: % 80.08/11.77 | | | | (790) ~ (all_4_4 = e2) % 80.08/11.77 | | | | % 80.08/11.77 | | | | SIMP: (790) implies: % 80.08/11.77 | | | | (791) ~ (all_4_4 = e2) % 80.08/11.77 | | | | % 80.08/11.77 | | | | REDUCE: (86), (787) imply: % 80.08/11.77 | | | | (792) ~ (all_4_13 = e2) % 80.08/11.77 | | | | % 80.08/11.77 | | | | SIMP: (792) implies: % 80.08/11.77 | | | | (793) ~ (all_4_13 = e2) % 80.08/11.77 | | | | % 80.08/11.77 | | | | REDUCE: (84), (787) imply: % 80.08/11.77 | | | | (794) ~ (all_4_23 = e2) % 80.08/11.77 | | | | % 80.08/11.77 | | | | SIMP: (794) implies: % 80.08/11.77 | | | | (795) ~ (all_4_23 = e2) % 80.08/11.77 | | | | % 80.08/11.77 | | | | REDUCE: (517), (787) imply: % 80.08/11.77 | | | | (796) ~ (e3 = e2) % 80.08/11.77 | | | | % 80.08/11.77 | | | | SIMP: (796) implies: % 80.08/11.77 | | | | (797) ~ (e3 = e2) % 80.08/11.77 | | | | % 80.08/11.77 | | | | REDUCE: (505), (787) imply: % 80.08/11.77 | | | | (798) ~ (e2 = e1) % 80.08/11.77 | | | | % 80.08/11.77 | | | | REDUCE: (539), (787) imply: % 80.08/11.77 | | | | (799) op(e4, e2) = all_10_8 % 80.08/11.77 | | | | % 80.08/11.77 | | | | REDUCE: (557), (787) imply: % 80.08/11.77 | | | | (800) op(e1, e2) = all_10_9 % 80.08/11.77 | | | | % 80.08/11.77 | | | | REDUCE: (117), (787) imply: % 80.08/11.77 | | | | (801) op(e1, e4) = e2 % 80.08/11.77 | | | | % 80.08/11.77 | | | | BETA: splitting (162) gives: % 80.08/11.77 | | | | % 80.08/11.77 | | | | Case 1: % 80.08/11.77 | | | | | % 80.08/11.77 | | | | | (802) all_6_20 = e4 % 80.08/11.77 | | | | | % 80.08/11.77 | | | | | COMBINE_EQS: (473), (802) imply: % 80.08/11.77 | | | | | (803) all_4_4 = e4 % 80.08/11.77 | | | | | % 80.08/11.77 | | | | | COMBINE_EQS: (396), (803) imply: % 80.08/11.77 | | | | | (804) all_8_20 = e4 % 80.08/11.77 | | | | | % 80.08/11.77 | | | | | COMBINE_EQS: (322), (803) imply: % 80.08/11.77 | | | | | (805) all_10_13 = e4 % 80.08/11.77 | | | | | % 80.08/11.77 | | | | | REDUCE: (83), (803) imply: % 80.08/11.77 | | | | | (806) ~ (all_4_9 = e4) % 80.08/11.77 | | | | | % 80.08/11.77 | | | | | SIMP: (806) implies: % 80.08/11.77 | | | | | (807) ~ (all_4_9 = e4) % 80.08/11.77 | | | | | % 80.08/11.77 | | | | | REDUCE: (519), (803) imply: % 80.08/11.77 | | | | | (808) ~ (e4 = e3) % 80.08/11.77 | | | | | % 80.08/11.77 | | | | | REDUCE: (791), (803) imply: % 80.08/11.77 | | | | | (809) ~ (e4 = e2) % 80.08/11.77 | | | | | % 80.08/11.77 | | | | | REDUCE: (507), (803) imply: % 80.08/11.77 | | | | | (810) ~ (e4 = e1) % 80.08/11.77 | | | | | % 80.08/11.77 | | | | | REDUCE: (495), (803) imply: % 80.08/11.77 | | | | | (811) ~ (e4 = e0) % 80.08/11.77 | | | | | % 80.08/11.77 | | | | | REDUCE: (565), (803) imply: % 80.08/11.77 | | | | | (812) op(e0, e4) = all_10_12 % 80.08/11.77 | | | | | % 80.08/11.77 | | | | | REDUCE: (112), (803) imply: % 80.08/11.77 | | | | | (813) op(e0, e4) = e4 % 80.08/11.77 | | | | | % 80.08/11.77 | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_12, e4, % 80.08/11.77 | | | | | e0, simplifying with (812), (813) gives: % 80.08/11.77 | | | | | (814) all_10_12 = e4 % 80.08/11.77 | | | | | % 80.08/11.77 | | | | | GROUND_INST: instantiating (function-axioms) with all_4_13, all_10_9, % 80.08/11.77 | | | | | e2, e1, simplifying with (115), (800) gives: % 80.08/11.77 | | | | | (815) all_10_9 = all_4_13 % 80.08/11.77 | | | | | % 80.08/11.77 | | | | | GROUND_INST: instantiating (function-axioms) with all_4_10, all_10_8, % 80.08/11.77 | | | | | e2, e4, simplifying with (130), (799) gives: % 80.08/11.77 | | | | | (816) all_10_8 = all_4_10 % 80.08/11.77 | | | | | % 80.08/11.77 | | | | | BETA: splitting (168) gives: % 80.08/11.77 | | | | | % 80.08/11.77 | | | | | Case 1: % 80.08/11.77 | | | | | | % 80.08/11.77 | | | | | | (817) all_6_14 = e4 % 80.08/11.77 | | | | | | % 80.08/11.77 | | | | | | COMBINE_EQS: (470), (817) imply: % 80.08/11.77 | | | | | | (818) all_4_22 = e4 % 80.08/11.77 | | | | | | % 80.08/11.77 | | | | | | REDUCE: (536), (818) imply: % 80.08/11.77 | | | | | | (819) $false % 80.08/11.77 | | | | | | % 80.08/11.77 | | | | | | CLOSE: (819) is inconsistent. % 80.08/11.77 | | | | | | % 80.08/11.77 | | | | | Case 2: % 80.08/11.77 | | | | | | % 80.08/11.77 | | | | | | (820) ~ (all_6_14 = e4) % 80.08/11.77 | | | | | | (821) all_6_14 = e3 | all_6_14 = e2 | all_6_14 = e1 | all_6_14 = % 80.08/11.77 | | | | | | e0 % 80.08/11.77 | | | | | | % 80.08/11.77 | | | | | | BETA: splitting (171) gives: % 80.08/11.77 | | | | | | % 80.08/11.77 | | | | | | Case 1: % 80.08/11.77 | | | | | | | % 80.08/11.77 | | | | | | | (822) all_6_9 = e4 % 80.08/11.77 | | | | | | | % 80.08/11.77 | | | | | | | COMBINE_EQS: (468), (822) imply: % 80.08/11.77 | | | | | | | (823) all_4_21 = e4 % 80.08/11.77 | | | | | | | % 80.08/11.77 | | | | | | | REDUCE: (26), (823) imply: % 80.08/11.77 | | | | | | | (824) ~ (all_4_16 = e4) % 80.08/11.77 | | | | | | | % 80.08/11.77 | | | | | | | REDUCE: (19), (823) imply: % 80.08/11.77 | | | | | | | (825) ~ (all_4_20 = e4) % 80.08/11.77 | | | | | | | % 80.08/11.77 | | | | | | | BETA: splitting (302) gives: % 80.08/11.77 | | | | | | | % 80.08/11.77 | | | | | | | Case 1: % 80.08/11.77 | | | | | | | | % 80.08/11.77 | | | | | | | | (826) (( ~ (all_10_1 = e4) | ~ (unit = e4)) & ( ~ (all_10_4 % 80.08/11.77 | | | | | | | | = e4) | ~ (unit = e4)) & ( ~ (all_10_7 = e4) | % 80.08/11.77 | | | | | | | | ~ (unit = e4)) & ( ~ (all_10_10 = e4) | ~ (unit = % 80.08/11.77 | | | | | | | | e4)) & ( ~ (all_10_13 = e4) | ~ (unit = e4)) & ( % 80.08/11.77 | | | | | | | | ~ (all_10_16 = e4) | (all_10_1 = e3 & ~ (unit = % 80.08/11.77 | | | | | | | | e4))) & ( ~ (all_10_18 = e4) | (all_10_4 = e3 & % 80.08/11.77 | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_21 = e4) | % 80.08/11.77 | | | | | | | | (all_10_7 = e3 & ~ (unit = e4))) & ( ~ (all_10_24 % 80.08/11.77 | | | | | | | | = e4) | (all_10_10 = e3 & ~ (unit = e4))) & ( ~ % 80.08/11.77 | | | | | | | | (all_10_27 = e4) | (all_10_13 = e3 & ~ (unit = % 80.08/11.77 | | | | | | | | e4))) & ( ~ (all_10_30 = e4) | (all_10_1 = e2 & % 80.08/11.77 | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_33 = e4) | % 80.08/11.77 | | | | | | | | (all_10_4 = e2 & ~ (unit = e4))) & ( ~ (all_10_35 % 80.08/11.77 | | | | | | | | = e4) | (all_10_7 = e2 & ~ (unit = e4))) & ( ~ % 80.08/11.77 | | | | | | | | (all_10_38 = e4) | (all_10_10 = e2 & ~ (unit = % 80.08/11.77 | | | | | | | | e4))) & ( ~ (all_10_41 = e4) | (all_10_13 = e2 % 80.08/11.77 | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_44 = e4) | % 80.08/11.77 | | | | | | | | (all_10_1 = e1 & ~ (unit = e4))) & ( ~ (all_10_47 % 80.08/11.77 | | | | | | | | = e4) | (all_10_4 = e1 & ~ (unit = e4))) & ( ~ % 80.08/11.77 | | | | | | | | (all_10_50 = e4) | (all_10_7 = e1 & ~ (unit = % 80.08/11.77 | | | | | | | | e4))) & ( ~ (all_10_52 = e4) | (all_10_10 = e1 % 80.08/11.77 | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_55 = e4) | % 80.08/11.77 | | | | | | | | (all_10_13 = e1 & ~ (unit = e4))) & ( ~ (all_10_58 % 80.08/11.77 | | | | | | | | = e4) | (all_10_1 = e0 & ~ (unit = e4))) & ( ~ % 80.08/11.77 | | | | | | | | (all_10_61 = e4) | (all_10_4 = e0 & ~ (unit = % 80.08/11.77 | | | | | | | | e4))) & ( ~ (all_10_64 = e4) | (all_10_7 = e0 & % 80.08/11.77 | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_67 = e4) | % 80.08/11.77 | | | | | | | | (all_10_10 = e0 & ~ (unit = e4))) & ( ~ (all_10_69 % 80.08/11.77 | | | | | | | | = e4) | (all_10_13 = e0 & ~ (unit = e4)))) | (( % 80.08/11.77 | | | | | | | | ~ (all_10_1 = e3) | (all_10_16 = e4 & ~ (unit = % 80.08/11.77 | | | | | | | | e3))) & ( ~ (all_10_4 = e3) | (all_10_18 = e4 & % 80.08/11.77 | | | | | | | | ~ (unit = e3))) & ( ~ (all_10_7 = e3) | % 80.08/11.77 | | | | | | | | (all_10_21 = e4 & ~ (unit = e3))) & ( ~ (all_10_10 % 80.08/11.77 | | | | | | | | = e3) | (all_10_24 = e4 & ~ (unit = e3))) & ( ~ % 80.08/11.77 | | | | | | | | (all_10_13 = e3) | (all_10_27 = e4 & ~ (unit = % 80.08/11.77 | | | | | | | | e3))) & ( ~ (all_10_16 = e3) | ~ (unit = e3)) % 80.08/11.77 | | | | | | | | & ( ~ (all_10_18 = e3) | ~ (unit = e3)) & ( ~ % 80.08/11.77 | | | | | | | | (all_10_21 = e3) | ~ (unit = e3)) & ( ~ (all_10_24 % 80.08/11.77 | | | | | | | | = e3) | ~ (unit = e3)) & ( ~ (all_10_27 = e3) | % 80.08/11.77 | | | | | | | | ~ (unit = e3)) & ( ~ (all_10_30 = e3) | (all_10_16 % 80.08/11.77 | | | | | | | | = e2 & ~ (unit = e3))) & ( ~ (all_10_33 = e3) | % 80.08/11.77 | | | | | | | | (all_10_18 = e2 & ~ (unit = e3))) & ( ~ (all_10_35 % 80.08/11.77 | | | | | | | | = e3) | (all_10_21 = e2 & ~ (unit = e3))) & ( ~ % 80.08/11.77 | | | | | | | | (all_10_38 = e3) | (all_10_24 = e2 & ~ (unit = % 80.08/11.77 | | | | | | | | e3))) & ( ~ (all_10_41 = e3) | (all_10_27 = e2 % 80.08/11.77 | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_44 = e3) | % 80.08/11.77 | | | | | | | | (all_10_16 = e1 & ~ (unit = e3))) & ( ~ (all_10_47 % 80.08/11.77 | | | | | | | | = e3) | (all_10_18 = e1 & ~ (unit = e3))) & ( ~ % 80.08/11.77 | | | | | | | | (all_10_50 = e3) | (all_10_21 = e1 & ~ (unit = % 80.08/11.77 | | | | | | | | e3))) & ( ~ (all_10_52 = e3) | (all_10_24 = e1 % 80.08/11.77 | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_55 = e3) | % 80.08/11.77 | | | | | | | | (all_10_27 = e1 & ~ (unit = e3))) & ( ~ (all_10_58 % 80.08/11.77 | | | | | | | | = e3) | (all_10_16 = e0 & ~ (unit = e3))) & ( ~ % 80.08/11.77 | | | | | | | | (all_10_61 = e3) | (all_10_18 = e0 & ~ (unit = % 80.08/11.77 | | | | | | | | e3))) & ( ~ (all_10_64 = e3) | (all_10_21 = e0 % 80.08/11.77 | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_67 = e3) | % 80.08/11.77 | | | | | | | | (all_10_24 = e0 & ~ (unit = e3))) & ( ~ (all_10_69 % 80.08/11.77 | | | | | | | | = e3) | (all_10_27 = e0 & ~ (unit = e3)))) % 80.08/11.77 | | | | | | | | % 80.08/11.77 | | | | | | | | REF_CLOSE: (350), (354), (487), (526), (797), (826) are % 80.08/11.77 | | | | | | | | inconsistent by sub-proof #184. % 80.08/11.77 | | | | | | | | % 80.08/11.77 | | | | | | | Case 2: % 80.08/11.77 | | | | | | | | % 80.48/11.78 | | | | | | | | (827) (( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit = % 80.48/11.78 | | | | | | | | e2))) & ( ~ (all_10_4 = e2) | (all_10_33 = e4 & % 80.48/11.78 | | | | | | | | ~ (unit = e2))) & ( ~ (all_10_7 = e2) | % 80.48/11.78 | | | | | | | | (all_10_35 = e4 & ~ (unit = e2))) & ( ~ (all_10_10 % 80.48/11.78 | | | | | | | | = e2) | (all_10_38 = e4 & ~ (unit = e2))) & ( ~ % 80.48/11.78 | | | | | | | | (all_10_13 = e2) | (all_10_41 = e4 & ~ (unit = % 80.48/11.78 | | | | | | | | e2))) & ( ~ (all_10_16 = e2) | (all_10_30 = e3 % 80.48/11.78 | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_18 = e2) | % 80.48/11.78 | | | | | | | | (all_10_33 = e3 & ~ (unit = e2))) & ( ~ (all_10_21 % 80.48/11.78 | | | | | | | | = e2) | (all_10_35 = e3 & ~ (unit = e2))) & ( ~ % 80.48/11.78 | | | | | | | | (all_10_24 = e2) | (all_10_38 = e3 & ~ (unit = % 80.48/11.78 | | | | | | | | e2))) & ( ~ (all_10_27 = e2) | (all_10_41 = e3 % 80.48/11.78 | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_30 = e2) | ~ % 80.48/11.78 | | | | | | | | (unit = e2)) & ( ~ (all_10_33 = e2) | ~ (unit = % 80.48/11.78 | | | | | | | | e2)) & ( ~ (all_10_35 = e2) | ~ (unit = e2)) & ( % 80.48/11.78 | | | | | | | | ~ (all_10_38 = e2) | ~ (unit = e2)) & ( ~ % 80.48/11.78 | | | | | | | | (all_10_41 = e2) | ~ (unit = e2)) & ( ~ (all_10_44 % 80.48/11.78 | | | | | | | | = e2) | (all_10_30 = e1 & ~ (unit = e2))) & ( ~ % 80.48/11.78 | | | | | | | | (all_10_47 = e2) | (all_10_33 = e1 & ~ (unit = % 80.48/11.78 | | | | | | | | e2))) & ( ~ (all_10_50 = e2) | (all_10_35 = e1 % 80.48/11.78 | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_52 = e2) | % 80.48/11.78 | | | | | | | | (all_10_38 = e1 & ~ (unit = e2))) & ( ~ (all_10_55 % 80.48/11.78 | | | | | | | | = e2) | (all_10_41 = e1 & ~ (unit = e2))) & ( ~ % 80.48/11.78 | | | | | | | | (all_10_58 = e2) | (all_10_30 = e0 & ~ (unit = % 80.48/11.78 | | | | | | | | e2))) & ( ~ (all_10_61 = e2) | (all_10_33 = e0 % 80.48/11.78 | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_64 = e2) | % 80.48/11.78 | | | | | | | | (all_10_35 = e0 & ~ (unit = e2))) & ( ~ (all_10_67 % 80.48/11.78 | | | | | | | | = e2) | (all_10_38 = e0 & ~ (unit = e2))) & ( ~ % 80.48/11.78 | | | | | | | | (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit = % 80.48/11.78 | | | | | | | | e2)))) | (( ~ (all_10_1 = e1) | (all_10_44 = e4 % 80.48/11.78 | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_4 = e1) | % 80.48/11.78 | | | | | | | | (all_10_47 = e4 & ~ (unit = e1))) & ( ~ (all_10_7 % 80.48/11.78 | | | | | | | | = e1) | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 80.48/11.78 | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit = % 80.48/11.78 | | | | | | | | e1))) & ( ~ (all_10_13 = e1) | (all_10_55 = e4 % 80.48/11.78 | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_16 = e1) | % 80.48/11.78 | | | | | | | | (all_10_44 = e3 & ~ (unit = e1))) & ( ~ (all_10_18 % 80.48/11.78 | | | | | | | | = e1) | (all_10_47 = e3 & ~ (unit = e1))) & ( ~ % 80.48/11.78 | | | | | | | | (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit = % 80.48/11.78 | | | | | | | | e1))) & ( ~ (all_10_24 = e1) | (all_10_52 = e3 % 80.48/11.78 | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_27 = e1) | % 80.48/11.78 | | | | | | | | (all_10_55 = e3 & ~ (unit = e1))) & ( ~ (all_10_30 % 80.48/11.78 | | | | | | | | = e1) | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ % 80.48/11.78 | | | | | | | | (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit = % 80.48/11.78 | | | | | | | | e1))) & ( ~ (all_10_35 = e1) | (all_10_50 = e2 % 80.48/11.78 | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_38 = e1) | % 80.48/11.78 | | | | | | | | (all_10_52 = e2 & ~ (unit = e1))) & ( ~ (all_10_41 % 80.48/11.78 | | | | | | | | = e1) | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 80.48/11.78 | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ (all_10_47 % 80.48/11.78 | | | | | | | | = e1) | ~ (unit = e1)) & ( ~ (all_10_50 = e1) | % 80.48/11.78 | | | | | | | | ~ (unit = e1)) & ( ~ (all_10_52 = e1) | ~ (unit = % 80.48/11.78 | | | | | | | | e1)) & ( ~ (all_10_55 = e1) | ~ (unit = e1)) & ( % 80.48/11.78 | | | | | | | | ~ (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit = % 80.48/11.78 | | | | | | | | e1))) & ( ~ (all_10_61 = e1) | (all_10_47 = e0 % 80.48/11.78 | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_64 = e1) | % 80.48/11.78 | | | | | | | | (all_10_50 = e0 & ~ (unit = e1))) & ( ~ (all_10_67 % 80.48/11.78 | | | | | | | | = e1) | (all_10_52 = e0 & ~ (unit = e1))) & ( ~ % 80.48/11.78 | | | | | | | | (all_10_69 = e1) | (all_10_55 = e0 & ~ (unit = % 80.48/11.78 | | | | | | | | e1)))) | (( ~ (all_10_1 = e0) | (all_10_58 = e4 % 80.48/11.78 | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_4 = e0) | % 80.48/11.78 | | | | | | | | (all_10_61 = e4 & ~ (unit = e0))) & ( ~ (all_10_7 % 80.48/11.78 | | | | | | | | = e0) | (all_10_64 = e4 & ~ (unit = e0))) & ( ~ % 80.48/11.78 | | | | | | | | (all_10_10 = e0) | (all_10_67 = e4 & ~ (unit = % 80.48/11.78 | | | | | | | | e0))) & ( ~ (all_10_13 = e0) | (all_10_69 = e4 % 80.48/11.78 | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_16 = e0) | % 80.48/11.78 | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ (all_10_18 % 80.48/11.78 | | | | | | | | = e0) | (all_10_61 = e3 & ~ (unit = e0))) & ( ~ % 80.48/11.78 | | | | | | | | (all_10_21 = e0) | (all_10_64 = e3 & ~ (unit = % 80.48/11.78 | | | | | | | | e0))) & ( ~ (all_10_24 = e0) | (all_10_67 = e3 % 80.48/11.78 | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_27 = e0) | % 80.48/11.78 | | | | | | | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ (all_10_30 % 80.48/11.78 | | | | | | | | = e0) | (all_10_58 = e2 & ~ (unit = e0))) & ( ~ % 80.48/11.78 | | | | | | | | (all_10_33 = e0) | (all_10_61 = e2 & ~ (unit = % 80.48/11.78 | | | | | | | | e0))) & ( ~ (all_10_35 = e0) | (all_10_64 = e2 % 80.48/11.78 | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_38 = e0) | % 80.48/11.78 | | | | | | | | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ (all_10_41 % 80.48/11.78 | | | | | | | | = e0) | (all_10_69 = e2 & ~ (unit = e0))) & ( ~ % 80.48/11.78 | | | | | | | | (all_10_44 = e0) | (all_10_58 = e1 & ~ (unit = % 80.48/11.78 | | | | | | | | e0))) & ( ~ (all_10_47 = e0) | (all_10_61 = e1 % 80.48/11.78 | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_50 = e0) | % 80.48/11.78 | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ (all_10_52 % 80.48/11.78 | | | | | | | | = e0) | (all_10_67 = e1 & ~ (unit = e0))) & ( ~ % 80.48/11.78 | | | | | | | | (all_10_55 = e0) | (all_10_69 = e1 & ~ (unit = % 80.48/11.78 | | | | | | | | e0))) & ( ~ (all_10_58 = e0) | ~ (unit = e0)) % 80.48/11.78 | | | | | | | | & ( ~ (all_10_61 = e0) | ~ (unit = e0)) & ( ~ % 80.48/11.78 | | | | | | | | (all_10_64 = e0) | ~ (unit = e0)) & ( ~ (all_10_67 % 80.48/11.78 | | | | | | | | = e0) | ~ (unit = e0)) & ( ~ (all_10_69 = e0) | % 80.48/11.78 | | | | | | | | ~ (unit = e0))) % 80.48/11.78 | | | | | | | | % 80.48/11.78 | | | | | | | | BETA: splitting (827) gives: % 80.48/11.78 | | | | | | | | % 80.48/11.78 | | | | | | | | Case 1: % 80.48/11.78 | | | | | | | | | % 80.48/11.78 | | | | | | | | | (828) ( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit = % 80.48/11.78 | | | | | | | | | e2))) & ( ~ (all_10_4 = e2) | (all_10_33 = e4 & % 80.48/11.78 | | | | | | | | | ~ (unit = e2))) & ( ~ (all_10_7 = e2) | % 80.48/11.78 | | | | | | | | | (all_10_35 = e4 & ~ (unit = e2))) & ( ~ (all_10_10 % 80.48/11.78 | | | | | | | | | = e2) | (all_10_38 = e4 & ~ (unit = e2))) & ( ~ % 80.48/11.78 | | | | | | | | | (all_10_13 = e2) | (all_10_41 = e4 & ~ (unit = % 80.48/11.78 | | | | | | | | | e2))) & ( ~ (all_10_16 = e2) | (all_10_30 = e3 % 80.48/11.78 | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_18 = e2) | % 80.48/11.78 | | | | | | | | | (all_10_33 = e3 & ~ (unit = e2))) & ( ~ (all_10_21 % 80.48/11.78 | | | | | | | | | = e2) | (all_10_35 = e3 & ~ (unit = e2))) & ( ~ % 80.48/11.78 | | | | | | | | | (all_10_24 = e2) | (all_10_38 = e3 & ~ (unit = % 80.48/11.78 | | | | | | | | | e2))) & ( ~ (all_10_27 = e2) | (all_10_41 = e3 % 80.48/11.78 | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_30 = e2) | ~ % 80.48/11.78 | | | | | | | | | (unit = e2)) & ( ~ (all_10_33 = e2) | ~ (unit = % 80.48/11.78 | | | | | | | | | e2)) & ( ~ (all_10_35 = e2) | ~ (unit = e2)) & ( % 80.48/11.78 | | | | | | | | | ~ (all_10_38 = e2) | ~ (unit = e2)) & ( ~ % 80.48/11.78 | | | | | | | | | (all_10_41 = e2) | ~ (unit = e2)) & ( ~ (all_10_44 % 80.48/11.78 | | | | | | | | | = e2) | (all_10_30 = e1 & ~ (unit = e2))) & ( ~ % 80.48/11.78 | | | | | | | | | (all_10_47 = e2) | (all_10_33 = e1 & ~ (unit = % 80.48/11.78 | | | | | | | | | e2))) & ( ~ (all_10_50 = e2) | (all_10_35 = e1 % 80.48/11.78 | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_52 = e2) | % 80.48/11.78 | | | | | | | | | (all_10_38 = e1 & ~ (unit = e2))) & ( ~ (all_10_55 % 80.48/11.78 | | | | | | | | | = e2) | (all_10_41 = e1 & ~ (unit = e2))) & ( ~ % 80.48/11.78 | | | | | | | | | (all_10_58 = e2) | (all_10_30 = e0 & ~ (unit = % 80.48/11.78 | | | | | | | | | e2))) & ( ~ (all_10_61 = e2) | (all_10_33 = e0 % 80.48/11.78 | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_64 = e2) | % 80.48/11.78 | | | | | | | | | (all_10_35 = e0 & ~ (unit = e2))) & ( ~ (all_10_67 % 80.48/11.78 | | | | | | | | | = e2) | (all_10_38 = e0 & ~ (unit = e2))) & ( ~ % 80.48/11.78 | | | | | | | | | (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit = % 80.48/11.78 | | | | | | | | | e2))) % 80.48/11.78 | | | | | | | | | % 80.48/11.78 | | | | | | | | | ALPHA: (828) implies: % 80.48/11.78 | | | | | | | | | (829) ~ (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit = % 80.48/11.78 | | | | | | | | | e2)) % 80.48/11.78 | | | | | | | | | % 80.48/11.78 | | | | | | | | | REF_CLOSE: (331), (530), (789), (829) are inconsistent by % 80.48/11.78 | | | | | | | | | sub-proof #139. % 80.48/11.78 | | | | | | | | | % 80.48/11.78 | | | | | | | | Case 2: % 80.48/11.78 | | | | | | | | | % 80.48/11.78 | | | | | | | | | (830) (( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = % 80.48/11.78 | | | | | | | | | e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = e4 % 80.48/11.78 | | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_7 = e1) | % 80.48/11.78 | | | | | | | | | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 80.48/11.78 | | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit = % 80.48/11.78 | | | | | | | | | e1))) & ( ~ (all_10_13 = e1) | (all_10_55 = % 80.48/11.78 | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_16 = e1) | % 80.48/11.78 | | | | | | | | | (all_10_44 = e3 & ~ (unit = e1))) & ( ~ % 80.48/11.78 | | | | | | | | | (all_10_18 = e1) | (all_10_47 = e3 & ~ (unit = % 80.48/11.78 | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_50 = % 80.48/11.78 | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_24 = e1) | % 80.48/11.78 | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 80.48/11.78 | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = % 80.48/11.78 | | | | | | | | | e1))) & ( ~ (all_10_30 = e1) | (all_10_44 = % 80.48/11.78 | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_33 = e1) | % 80.48/11.78 | | | | | | | | | (all_10_47 = e2 & ~ (unit = e1))) & ( ~ % 80.48/11.78 | | | | | | | | | (all_10_35 = e1) | (all_10_50 = e2 & ~ (unit = % 80.48/11.78 | | | | | | | | | e1))) & ( ~ (all_10_38 = e1) | (all_10_52 = % 80.48/11.78 | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_41 = e1) | % 80.48/11.78 | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 80.48/11.78 | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 80.48/11.78 | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 80.48/11.78 | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 80.48/11.78 | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 80.48/11.78 | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 80.48/11.78 | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit = % 80.51/11.78 | | | | | | | | | e1))) & ( ~ (all_10_61 = e1) | (all_10_47 = % 80.51/11.78 | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_64 = e1) | % 80.51/11.78 | | | | | | | | | (all_10_50 = e0 & ~ (unit = e1))) & ( ~ % 80.51/11.78 | | | | | | | | | (all_10_67 = e1) | (all_10_52 = e0 & ~ (unit = % 80.51/11.78 | | | | | | | | | e1))) & ( ~ (all_10_69 = e1) | (all_10_55 = % 80.51/11.78 | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_1 = e0) | % 80.51/11.78 | | | | | | | | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ % 80.51/11.78 | | | | | | | | | (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = % 80.51/11.78 | | | | | | | | | e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = e4 % 80.51/11.78 | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_10 = e0) | % 80.51/11.78 | | | | | | | | | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ % 80.51/11.78 | | | | | | | | | (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit = % 80.51/11.78 | | | | | | | | | e0))) & ( ~ (all_10_16 = e0) | (all_10_58 = % 80.51/11.78 | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_18 = e0) | % 80.51/11.79 | | | | | | | | | (all_10_61 = e3 & ~ (unit = e0))) & ( ~ % 80.51/11.79 | | | | | | | | | (all_10_21 = e0) | (all_10_64 = e3 & ~ (unit = % 80.51/11.79 | | | | | | | | | e0))) & ( ~ (all_10_24 = e0) | (all_10_67 = % 80.51/11.79 | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_27 = e0) | % 80.51/11.79 | | | | | | | | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 80.51/11.79 | | | | | | | | | (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit = % 80.51/11.79 | | | | | | | | | e0))) & ( ~ (all_10_33 = e0) | (all_10_61 = % 80.51/11.79 | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_35 = e0) | % 80.51/11.79 | | | | | | | | | (all_10_64 = e2 & ~ (unit = e0))) & ( ~ % 80.51/11.79 | | | | | | | | | (all_10_38 = e0) | (all_10_67 = e2 & ~ (unit = % 80.51/11.79 | | | | | | | | | e0))) & ( ~ (all_10_41 = e0) | (all_10_69 = % 80.51/11.79 | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_44 = e0) | % 80.51/11.79 | | | | | | | | | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 80.51/11.79 | | | | | | | | | (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit = % 80.51/11.79 | | | | | | | | | e0))) & ( ~ (all_10_50 = e0) | (all_10_64 = % 80.51/11.79 | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_52 = e0) | % 80.51/11.79 | | | | | | | | | (all_10_67 = e1 & ~ (unit = e0))) & ( ~ % 80.51/11.79 | | | | | | | | | (all_10_55 = e0) | (all_10_69 = e1 & ~ (unit = % 80.51/11.79 | | | | | | | | | e0))) & ( ~ (all_10_58 = e0) | ~ (unit = % 80.51/11.79 | | | | | | | | | e0)) & ( ~ (all_10_61 = e0) | ~ (unit = e0)) & % 80.51/11.79 | | | | | | | | | ( ~ (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 80.51/11.79 | | | | | | | | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 80.51/11.79 | | | | | | | | | (all_10_69 = e0) | ~ (unit = e0))) % 80.51/11.79 | | | | | | | | | % 80.51/11.79 | | | | | | | | | REF_CLOSE: (370), (373), (386), (486), (824), (825), (830) are % 80.51/11.79 | | | | | | | | | inconsistent by sub-proof #166. % 80.51/11.79 | | | | | | | | | % 80.51/11.79 | | | | | | | | End of split % 80.51/11.79 | | | | | | | | % 80.51/11.79 | | | | | | | End of split % 80.51/11.79 | | | | | | | % 80.51/11.79 | | | | | | Case 2: % 80.51/11.79 | | | | | | | % 80.51/11.79 | | | | | | | (831) ~ (all_6_9 = e4) % 80.51/11.79 | | | | | | | (832) all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1 | all_6_9 = e0 % 80.51/11.79 | | | | | | | % 80.51/11.79 | | | | | | | REDUCE: (468), (831) imply: % 80.51/11.79 | | | | | | | (833) ~ (all_4_21 = e4) % 80.51/11.79 | | | | | | | % 80.51/11.79 | | | | | | | BETA: splitting (163) gives: % 80.51/11.79 | | | | | | | % 80.51/11.79 | | | | | | | Case 1: % 80.51/11.79 | | | | | | | | % 80.51/11.79 | | | | | | | | (834) all_6_19 = e4 % 80.51/11.79 | | | | | | | | % 80.51/11.79 | | | | | | | | COMBINE_EQS: (472), (834) imply: % 80.51/11.79 | | | | | | | | (835) all_4_23 = e4 % 80.51/11.79 | | | | | | | | % 80.51/11.79 | | | | | | | | COMBINE_EQS: (434), (835) imply: % 80.51/11.79 | | | | | | | | (836) all_8_19 = e4 % 80.51/11.79 | | | | | | | | % 80.51/11.79 | | | | | | | | REDUCE: (58), (835) imply: % 80.51/11.79 | | | | | | | | (837) ~ (all_4_8 = e4) % 80.51/11.79 | | | | | | | | % 80.51/11.79 | | | | | | | | REDUCE: (17), (835) imply: % 80.51/11.79 | | | | | | | | (838) ~ (all_4_20 = e4) % 80.51/11.79 | | | | | | | | % 80.51/11.79 | | | | | | | | REDUCE: (572), (835) imply: % 80.51/11.79 | | | | | | | | (839) op(e0, e4) = all_10_65 % 80.51/11.79 | | | | | | | | % 80.51/11.79 | | | | | | | | BETA: splitting (302) gives: % 80.51/11.79 | | | | | | | | % 80.51/11.79 | | | | | | | | Case 1: % 80.51/11.79 | | | | | | | | | % 80.51/11.79 | | | | | | | | | (840) (( ~ (all_10_1 = e4) | ~ (unit = e4)) & ( ~ % 80.51/11.79 | | | | | | | | | (all_10_4 = e4) | ~ (unit = e4)) & ( ~ (all_10_7 % 80.51/11.79 | | | | | | | | | = e4) | ~ (unit = e4)) & ( ~ (all_10_10 = e4) % 80.51/11.79 | | | | | | | | | | ~ (unit = e4)) & ( ~ (all_10_13 = e4) | ~ % 80.51/11.79 | | | | | | | | | (unit = e4)) & ( ~ (all_10_16 = e4) | (all_10_1 = % 80.51/11.79 | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_18 = e4) | % 80.51/11.79 | | | | | | | | | (all_10_4 = e3 & ~ (unit = e4))) & ( ~ % 80.51/11.79 | | | | | | | | | (all_10_21 = e4) | (all_10_7 = e3 & ~ (unit = % 80.51/11.79 | | | | | | | | | e4))) & ( ~ (all_10_24 = e4) | (all_10_10 = % 80.51/11.79 | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_27 = e4) | % 80.51/11.79 | | | | | | | | | (all_10_13 = e3 & ~ (unit = e4))) & ( ~ % 80.51/11.79 | | | | | | | | | (all_10_30 = e4) | (all_10_1 = e2 & ~ (unit = % 80.51/11.79 | | | | | | | | | e4))) & ( ~ (all_10_33 = e4) | (all_10_4 = e2 % 80.51/11.79 | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_35 = e4) | % 80.51/11.79 | | | | | | | | | (all_10_7 = e2 & ~ (unit = e4))) & ( ~ % 80.51/11.79 | | | | | | | | | (all_10_38 = e4) | (all_10_10 = e2 & ~ (unit = % 80.51/11.79 | | | | | | | | | e4))) & ( ~ (all_10_41 = e4) | (all_10_13 = % 80.51/11.79 | | | | | | | | | e2 & ~ (unit = e4))) & ( ~ (all_10_44 = e4) | % 80.51/11.79 | | | | | | | | | (all_10_1 = e1 & ~ (unit = e4))) & ( ~ % 80.51/11.79 | | | | | | | | | (all_10_47 = e4) | (all_10_4 = e1 & ~ (unit = % 80.51/11.79 | | | | | | | | | e4))) & ( ~ (all_10_50 = e4) | (all_10_7 = e1 % 80.51/11.79 | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_52 = e4) | % 80.51/11.79 | | | | | | | | | (all_10_10 = e1 & ~ (unit = e4))) & ( ~ % 80.51/11.79 | | | | | | | | | (all_10_55 = e4) | (all_10_13 = e1 & ~ (unit = % 80.51/11.79 | | | | | | | | | e4))) & ( ~ (all_10_58 = e4) | (all_10_1 = e0 % 80.51/11.79 | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_61 = e4) | % 80.51/11.79 | | | | | | | | | (all_10_4 = e0 & ~ (unit = e4))) & ( ~ % 80.51/11.79 | | | | | | | | | (all_10_64 = e4) | (all_10_7 = e0 & ~ (unit = % 80.51/11.79 | | | | | | | | | e4))) & ( ~ (all_10_67 = e4) | (all_10_10 = % 80.51/11.79 | | | | | | | | | e0 & ~ (unit = e4))) & ( ~ (all_10_69 = e4) | % 80.51/11.79 | | | | | | | | | (all_10_13 = e0 & ~ (unit = e4)))) | (( ~ % 80.51/11.79 | | | | | | | | | (all_10_1 = e3) | (all_10_16 = e4 & ~ (unit = % 80.51/11.79 | | | | | | | | | e3))) & ( ~ (all_10_4 = e3) | (all_10_18 = e4 % 80.51/11.79 | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_7 = e3) | % 80.51/11.79 | | | | | | | | | (all_10_21 = e4 & ~ (unit = e3))) & ( ~ % 80.51/11.79 | | | | | | | | | (all_10_10 = e3) | (all_10_24 = e4 & ~ (unit = % 80.51/11.79 | | | | | | | | | e3))) & ( ~ (all_10_13 = e3) | (all_10_27 = % 80.51/11.79 | | | | | | | | | e4 & ~ (unit = e3))) & ( ~ (all_10_16 = e3) | % 80.51/11.79 | | | | | | | | | ~ (unit = e3)) & ( ~ (all_10_18 = e3) | ~ (unit % 80.51/11.79 | | | | | | | | | = e3)) & ( ~ (all_10_21 = e3) | ~ (unit = e3)) % 80.51/11.79 | | | | | | | | | & ( ~ (all_10_24 = e3) | ~ (unit = e3)) & ( ~ % 80.51/11.79 | | | | | | | | | (all_10_27 = e3) | ~ (unit = e3)) & ( ~ % 80.51/11.79 | | | | | | | | | (all_10_30 = e3) | (all_10_16 = e2 & ~ (unit = % 80.51/11.79 | | | | | | | | | e3))) & ( ~ (all_10_33 = e3) | (all_10_18 = % 80.51/11.79 | | | | | | | | | e2 & ~ (unit = e3))) & ( ~ (all_10_35 = e3) | % 80.51/11.79 | | | | | | | | | (all_10_21 = e2 & ~ (unit = e3))) & ( ~ % 80.51/11.79 | | | | | | | | | (all_10_38 = e3) | (all_10_24 = e2 & ~ (unit = % 80.51/11.79 | | | | | | | | | e3))) & ( ~ (all_10_41 = e3) | (all_10_27 = % 80.51/11.79 | | | | | | | | | e2 & ~ (unit = e3))) & ( ~ (all_10_44 = e3) | % 80.51/11.79 | | | | | | | | | (all_10_16 = e1 & ~ (unit = e3))) & ( ~ % 80.51/11.79 | | | | | | | | | (all_10_47 = e3) | (all_10_18 = e1 & ~ (unit = % 80.51/11.79 | | | | | | | | | e3))) & ( ~ (all_10_50 = e3) | (all_10_21 = % 80.51/11.79 | | | | | | | | | e1 & ~ (unit = e3))) & ( ~ (all_10_52 = e3) | % 80.51/11.79 | | | | | | | | | (all_10_24 = e1 & ~ (unit = e3))) & ( ~ % 80.51/11.79 | | | | | | | | | (all_10_55 = e3) | (all_10_27 = e1 & ~ (unit = % 80.51/11.79 | | | | | | | | | e3))) & ( ~ (all_10_58 = e3) | (all_10_16 = % 80.51/11.79 | | | | | | | | | e0 & ~ (unit = e3))) & ( ~ (all_10_61 = e3) | % 80.51/11.79 | | | | | | | | | (all_10_18 = e0 & ~ (unit = e3))) & ( ~ % 80.51/11.79 | | | | | | | | | (all_10_64 = e3) | (all_10_21 = e0 & ~ (unit = % 80.51/11.79 | | | | | | | | | e3))) & ( ~ (all_10_67 = e3) | (all_10_24 = % 80.51/11.79 | | | | | | | | | e0 & ~ (unit = e3))) & ( ~ (all_10_69 = e3) | % 80.51/11.79 | | | | | | | | | (all_10_27 = e0 & ~ (unit = e3)))) % 80.51/11.79 | | | | | | | | | % 80.51/11.79 | | | | | | | | | REF_CLOSE: (350), (354), (487), (526), (797), (840) are % 80.51/11.79 | | | | | | | | | inconsistent by sub-proof #184. % 80.51/11.79 | | | | | | | | | % 80.51/11.79 | | | | | | | | Case 2: % 80.51/11.79 | | | | | | | | | % 80.51/11.80 | | | | | | | | | (841) (( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit = % 80.51/11.80 | | | | | | | | | e2))) & ( ~ (all_10_4 = e2) | (all_10_33 = e4 % 80.51/11.80 | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_7 = e2) | % 80.51/11.80 | | | | | | | | | (all_10_35 = e4 & ~ (unit = e2))) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit = % 80.51/11.80 | | | | | | | | | e2))) & ( ~ (all_10_13 = e2) | (all_10_41 = % 80.51/11.80 | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_16 = e2) | % 80.51/11.80 | | | | | | | | | (all_10_30 = e3 & ~ (unit = e2))) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_18 = e2) | (all_10_33 = e3 & ~ (unit = % 80.51/11.80 | | | | | | | | | e2))) & ( ~ (all_10_21 = e2) | (all_10_35 = % 80.51/11.80 | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_24 = e2) | % 80.51/11.80 | | | | | | | | | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit = % 80.51/11.80 | | | | | | | | | e2))) & ( ~ (all_10_30 = e2) | ~ (unit = % 80.51/11.80 | | | | | | | | | e2)) & ( ~ (all_10_33 = e2) | ~ (unit = e2)) & % 80.51/11.80 | | | | | | | | | ( ~ (all_10_35 = e2) | ~ (unit = e2)) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_38 = e2) | ~ (unit = e2)) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_41 = e2) | ~ (unit = e2)) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_44 = e2) | (all_10_30 = e1 & ~ (unit = % 80.51/11.80 | | | | | | | | | e2))) & ( ~ (all_10_47 = e2) | (all_10_33 = % 80.51/11.80 | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_50 = e2) | % 80.51/11.80 | | | | | | | | | (all_10_35 = e1 & ~ (unit = e2))) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_52 = e2) | (all_10_38 = e1 & ~ (unit = % 80.51/11.80 | | | | | | | | | e2))) & ( ~ (all_10_55 = e2) | (all_10_41 = % 80.51/11.80 | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_58 = e2) | % 80.51/11.80 | | | | | | | | | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit = % 80.51/11.80 | | | | | | | | | e2))) & ( ~ (all_10_64 = e2) | (all_10_35 = % 80.51/11.80 | | | | | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_67 = e2) | % 80.51/11.80 | | | | | | | | | (all_10_38 = e0 & ~ (unit = e2))) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit = % 80.51/11.80 | | | | | | | | | e2)))) | (( ~ (all_10_1 = e1) | (all_10_44 = % 80.51/11.80 | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_4 = e1) | % 80.51/11.80 | | | | | | | | | (all_10_47 = e4 & ~ (unit = e1))) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_7 = e1) | (all_10_50 = e4 & ~ (unit = % 80.51/11.80 | | | | | | | | | e1))) & ( ~ (all_10_10 = e1) | (all_10_52 = % 80.51/11.80 | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_13 = e1) | % 80.51/11.80 | | | | | | | | | (all_10_55 = e4 & ~ (unit = e1))) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit = % 80.51/11.80 | | | | | | | | | e1))) & ( ~ (all_10_18 = e1) | (all_10_47 = % 80.51/11.80 | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_21 = e1) | % 80.51/11.80 | | | | | | | | | (all_10_50 = e3 & ~ (unit = e1))) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_24 = e1) | (all_10_52 = e3 & ~ (unit = % 80.51/11.80 | | | | | | | | | e1))) & ( ~ (all_10_27 = e1) | (all_10_55 = % 80.51/11.80 | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_30 = e1) | % 80.51/11.80 | | | | | | | | | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit = % 80.51/11.80 | | | | | | | | | e1))) & ( ~ (all_10_35 = e1) | (all_10_50 = % 80.51/11.80 | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_38 = e1) | % 80.51/11.80 | | | | | | | | | (all_10_52 = e2 & ~ (unit = e1))) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_41 = e1) | (all_10_55 = e2 & ~ (unit = % 80.51/11.80 | | | | | | | | | e1))) & ( ~ (all_10_44 = e1) | ~ (unit = % 80.51/11.80 | | | | | | | | | e1)) & ( ~ (all_10_47 = e1) | ~ (unit = e1)) & % 80.51/11.80 | | | | | | | | | ( ~ (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit = % 80.51/11.80 | | | | | | | | | e1))) & ( ~ (all_10_61 = e1) | (all_10_47 = % 80.51/11.80 | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_64 = e1) | % 80.51/11.80 | | | | | | | | | (all_10_50 = e0 & ~ (unit = e1))) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_67 = e1) | (all_10_52 = e0 & ~ (unit = % 80.51/11.80 | | | | | | | | | e1))) & ( ~ (all_10_69 = e1) | (all_10_55 = % 80.51/11.80 | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_1 = e0) | % 80.51/11.80 | | | | | | | | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = % 80.51/11.80 | | | | | | | | | e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = e4 % 80.51/11.80 | | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_10 = e0) | % 80.51/11.80 | | | | | | | | | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit = % 80.51/11.80 | | | | | | | | | e0))) & ( ~ (all_10_16 = e0) | (all_10_58 = % 80.51/11.80 | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_18 = e0) | % 80.51/11.80 | | | | | | | | | (all_10_61 = e3 & ~ (unit = e0))) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_21 = e0) | (all_10_64 = e3 & ~ (unit = % 80.51/11.80 | | | | | | | | | e0))) & ( ~ (all_10_24 = e0) | (all_10_67 = % 80.51/11.80 | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_27 = e0) | % 80.51/11.80 | | | | | | | | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit = % 80.51/11.80 | | | | | | | | | e0))) & ( ~ (all_10_33 = e0) | (all_10_61 = % 80.51/11.80 | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_35 = e0) | % 80.51/11.80 | | | | | | | | | (all_10_64 = e2 & ~ (unit = e0))) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_38 = e0) | (all_10_67 = e2 & ~ (unit = % 80.51/11.80 | | | | | | | | | e0))) & ( ~ (all_10_41 = e0) | (all_10_69 = % 80.51/11.80 | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_44 = e0) | % 80.51/11.80 | | | | | | | | | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit = % 80.51/11.80 | | | | | | | | | e0))) & ( ~ (all_10_50 = e0) | (all_10_64 = % 80.51/11.80 | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_52 = e0) | % 80.51/11.80 | | | | | | | | | (all_10_67 = e1 & ~ (unit = e0))) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_55 = e0) | (all_10_69 = e1 & ~ (unit = % 80.51/11.80 | | | | | | | | | e0))) & ( ~ (all_10_58 = e0) | ~ (unit = % 80.51/11.80 | | | | | | | | | e0)) & ( ~ (all_10_61 = e0) | ~ (unit = e0)) & % 80.51/11.80 | | | | | | | | | ( ~ (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 80.51/11.80 | | | | | | | | | (all_10_69 = e0) | ~ (unit = e0))) % 80.51/11.80 | | | | | | | | | % 80.51/11.80 | | | | | | | | | BETA: splitting (841) gives: % 80.51/11.80 | | | | | | | | | % 80.51/11.80 | | | | | | | | | Case 1: % 80.51/11.80 | | | | | | | | | | % 80.51/11.80 | | | | | | | | | | (842) ( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit = % 80.51/11.80 | | | | | | | | | | e2))) & ( ~ (all_10_4 = e2) | (all_10_33 = e4 % 80.51/11.80 | | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_7 = e2) | % 80.51/11.80 | | | | | | | | | | (all_10_35 = e4 & ~ (unit = e2))) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit = % 80.51/11.80 | | | | | | | | | | e2))) & ( ~ (all_10_13 = e2) | (all_10_41 = % 80.51/11.80 | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_16 = e2) | % 80.51/11.80 | | | | | | | | | | (all_10_30 = e3 & ~ (unit = e2))) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_18 = e2) | (all_10_33 = e3 & ~ (unit = % 80.51/11.80 | | | | | | | | | | e2))) & ( ~ (all_10_21 = e2) | (all_10_35 = % 80.51/11.80 | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_24 = e2) | % 80.51/11.80 | | | | | | | | | | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit = % 80.51/11.80 | | | | | | | | | | e2))) & ( ~ (all_10_30 = e2) | ~ (unit = % 80.51/11.80 | | | | | | | | | | e2)) & ( ~ (all_10_33 = e2) | ~ (unit = e2)) & % 80.51/11.80 | | | | | | | | | | ( ~ (all_10_35 = e2) | ~ (unit = e2)) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_38 = e2) | ~ (unit = e2)) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_41 = e2) | ~ (unit = e2)) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_44 = e2) | (all_10_30 = e1 & ~ (unit = % 80.51/11.80 | | | | | | | | | | e2))) & ( ~ (all_10_47 = e2) | (all_10_33 = % 80.51/11.80 | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_50 = e2) | % 80.51/11.80 | | | | | | | | | | (all_10_35 = e1 & ~ (unit = e2))) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_52 = e2) | (all_10_38 = e1 & ~ (unit = % 80.51/11.80 | | | | | | | | | | e2))) & ( ~ (all_10_55 = e2) | (all_10_41 = % 80.51/11.80 | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_58 = e2) | % 80.51/11.80 | | | | | | | | | | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit = % 80.51/11.80 | | | | | | | | | | e2))) & ( ~ (all_10_64 = e2) | (all_10_35 = % 80.51/11.80 | | | | | | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_67 = e2) | % 80.51/11.80 | | | | | | | | | | (all_10_38 = e0 & ~ (unit = e2))) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit = % 80.51/11.80 | | | | | | | | | | e2))) % 80.51/11.80 | | | | | | | | | | % 80.51/11.80 | | | | | | | | | | ALPHA: (842) implies: % 80.51/11.80 | | | | | | | | | | (843) ~ (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit = % 80.51/11.80 | | | | | | | | | | e2)) % 80.51/11.80 | | | | | | | | | | % 80.51/11.80 | | | | | | | | | | REF_CLOSE: (331), (530), (789), (843) are inconsistent by % 80.51/11.80 | | | | | | | | | | sub-proof #139. % 80.51/11.80 | | | | | | | | | | % 80.51/11.80 | | | | | | | | | Case 2: % 80.51/11.80 | | | | | | | | | | % 80.51/11.80 | | | | | | | | | | (844) (( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = % 80.51/11.80 | | | | | | | | | | e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = % 80.51/11.80 | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) | % 80.51/11.80 | | | | | | | | | | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit = % 80.51/11.80 | | | | | | | | | | e1))) & ( ~ (all_10_13 = e1) | (all_10_55 = % 80.51/11.80 | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_16 = e1) % 80.51/11.80 | | | | | | | | | | | (all_10_44 = e3 & ~ (unit = e1))) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_18 = e1) | (all_10_47 = e3 & ~ (unit = % 80.51/11.80 | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_50 = % 80.51/11.80 | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_24 = e1) % 80.51/11.80 | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = % 80.51/11.80 | | | | | | | | | | e1))) & ( ~ (all_10_30 = e1) | (all_10_44 = % 80.51/11.80 | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_33 = e1) % 80.51/11.80 | | | | | | | | | | | (all_10_47 = e2 & ~ (unit = e1))) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_35 = e1) | (all_10_50 = e2 & ~ (unit = % 80.51/11.80 | | | | | | | | | | e1))) & ( ~ (all_10_38 = e1) | (all_10_52 = % 80.51/11.80 | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_41 = e1) % 80.51/11.80 | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit = % 80.51/11.80 | | | | | | | | | | e1))) & ( ~ (all_10_61 = e1) | (all_10_47 = % 80.51/11.80 | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_64 = e1) % 80.51/11.80 | | | | | | | | | | | (all_10_50 = e0 & ~ (unit = e1))) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_67 = e1) | (all_10_52 = e0 & ~ (unit = % 80.51/11.80 | | | | | | | | | | e1))) & ( ~ (all_10_69 = e1) | (all_10_55 = % 80.51/11.80 | | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_1 = e0) % 80.51/11.80 | | | | | | | | | | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = % 80.51/11.80 | | | | | | | | | | e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = % 80.51/11.80 | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) % 80.51/11.80 | | | | | | | | | | | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit = % 80.51/11.80 | | | | | | | | | | e0))) & ( ~ (all_10_16 = e0) | (all_10_58 = % 80.51/11.80 | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_18 = e0) % 80.51/11.80 | | | | | | | | | | | (all_10_61 = e3 & ~ (unit = e0))) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_21 = e0) | (all_10_64 = e3 & ~ (unit = % 80.51/11.80 | | | | | | | | | | e0))) & ( ~ (all_10_24 = e0) | (all_10_67 = % 80.51/11.80 | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_27 = e0) % 80.51/11.80 | | | | | | | | | | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit = % 80.51/11.80 | | | | | | | | | | e0))) & ( ~ (all_10_33 = e0) | (all_10_61 = % 80.51/11.80 | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_35 = e0) % 80.51/11.80 | | | | | | | | | | | (all_10_64 = e2 & ~ (unit = e0))) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_38 = e0) | (all_10_67 = e2 & ~ (unit = % 80.51/11.80 | | | | | | | | | | e0))) & ( ~ (all_10_41 = e0) | (all_10_69 = % 80.51/11.80 | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_44 = e0) % 80.51/11.80 | | | | | | | | | | | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit = % 80.51/11.80 | | | | | | | | | | e0))) & ( ~ (all_10_50 = e0) | (all_10_64 = % 80.51/11.80 | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_52 = e0) % 80.51/11.80 | | | | | | | | | | | (all_10_67 = e1 & ~ (unit = e0))) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_55 = e0) | (all_10_69 = e1 & ~ (unit = % 80.51/11.80 | | | | | | | | | | e0))) & ( ~ (all_10_58 = e0) | ~ (unit = % 80.51/11.80 | | | | | | | | | | e0)) & ( ~ (all_10_61 = e0) | ~ (unit = e0)) % 80.51/11.80 | | | | | | | | | | & ( ~ (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 80.51/11.80 | | | | | | | | | | (all_10_69 = e0) | ~ (unit = e0))) % 80.51/11.80 | | | | | | | | | | % 80.51/11.80 | | | | | | | | | | BETA: splitting (844) gives: % 80.51/11.80 | | | | | | | | | | % 80.51/11.80 | | | | | | | | | | Case 1: % 80.51/11.80 | | | | | | | | | | | % 80.58/11.80 | | | | | | | | | | | (845) ( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = % 80.58/11.80 | | | | | | | | | | | e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = % 80.58/11.80 | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) | % 80.58/11.80 | | | | | | | | | | | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 80.58/11.80 | | | | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit = % 80.58/11.80 | | | | | | | | | | | e1))) & ( ~ (all_10_13 = e1) | (all_10_55 = % 80.58/11.80 | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_16 = e1) | % 80.58/11.80 | | | | | | | | | | | (all_10_44 = e3 & ~ (unit = e1))) & ( ~ % 80.58/11.80 | | | | | | | | | | | (all_10_18 = e1) | (all_10_47 = e3 & ~ (unit = % 80.58/11.80 | | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_50 = % 80.58/11.80 | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_24 = e1) | % 80.58/11.80 | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 80.58/11.80 | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = % 80.58/11.80 | | | | | | | | | | | e1))) & ( ~ (all_10_30 = e1) | (all_10_44 = % 80.58/11.80 | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_33 = e1) | % 80.58/11.80 | | | | | | | | | | | (all_10_47 = e2 & ~ (unit = e1))) & ( ~ % 80.58/11.80 | | | | | | | | | | | (all_10_35 = e1) | (all_10_50 = e2 & ~ (unit = % 80.58/11.80 | | | | | | | | | | | e1))) & ( ~ (all_10_38 = e1) | (all_10_52 = % 80.58/11.80 | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_41 = e1) | % 80.58/11.80 | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 80.58/11.80 | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 80.58/11.80 | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 80.58/11.80 | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 80.58/11.80 | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 80.58/11.80 | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 80.58/11.80 | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit = % 80.58/11.80 | | | | | | | | | | | e1))) & ( ~ (all_10_61 = e1) | (all_10_47 = % 80.58/11.80 | | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_64 = e1) | % 80.58/11.80 | | | | | | | | | | | (all_10_50 = e0 & ~ (unit = e1))) & ( ~ % 80.58/11.80 | | | | | | | | | | | (all_10_67 = e1) | (all_10_52 = e0 & ~ (unit = % 80.58/11.80 | | | | | | | | | | | e1))) & ( ~ (all_10_69 = e1) | (all_10_55 = % 80.58/11.80 | | | | | | | | | | | e0 & ~ (unit = e1))) % 80.58/11.80 | | | | | | | | | | | % 80.58/11.80 | | | | | | | | | | | ALPHA: (845) implies: % 80.58/11.80 | | | | | | | | | | | (846) ~ (all_10_64 = e1) | (all_10_50 = e0 & ~ (unit = % 80.58/11.80 | | | | | | | | | | | e1)) % 80.58/11.80 | | | | | | | | | | | (847) ~ (all_10_30 = e1) | (all_10_44 = e2 & ~ (unit = % 80.58/11.80 | | | | | | | | | | | e1)) % 80.58/11.80 | | | | | | | | | | | (848) ~ (all_10_4 = e1) | (all_10_47 = e4 & ~ (unit = % 80.58/11.80 | | | | | | | | | | | e1)) % 80.58/11.80 | | | | | | | | | | | % 80.58/11.80 | | | | | | | | | | | BETA: splitting (848) gives: % 80.58/11.80 | | | | | | | | | | | % 80.58/11.80 | | | | | | | | | | | Case 1: % 80.58/11.80 | | | | | | | | | | | | % 80.58/11.80 | | | | | | | | | | | | (849) ~ (all_10_4 = e1) % 80.58/11.80 | | | | | | | | | | | | % 80.58/11.80 | | | | | | | | | | | | REDUCE: (370), (849) imply: % 80.58/11.80 | | | | | | | | | | | | (850) $false % 80.58/11.80 | | | | | | | | | | | | % 80.58/11.80 | | | | | | | | | | | | CLOSE: (850) is inconsistent. % 80.58/11.80 | | | | | | | | | | | | % 80.58/11.80 | | | | | | | | | | | Case 2: % 80.58/11.80 | | | | | | | | | | | | % 80.58/11.80 | | | | | | | | | | | | (851) all_10_47 = e4 & ~ (unit = e1) % 80.58/11.80 | | | | | | | | | | | | % 80.58/11.80 | | | | | | | | | | | | ALPHA: (851) implies: % 80.58/11.80 | | | | | | | | | | | | (852) all_10_47 = e4 % 80.58/11.80 | | | | | | | | | | | | % 80.58/11.80 | | | | | | | | | | | | COMBINE_EQS: (486), (852) imply: % 80.58/11.80 | | | | | | | | | | | | (853) all_4_16 = e4 % 80.58/11.80 | | | | | | | | | | | | % 80.58/11.80 | | | | | | | | | | | | SIMP: (853) implies: % 80.58/11.80 | | | | | | | | | | | | (854) all_4_16 = e4 % 80.58/11.80 | | | | | | | | | | | | % 80.58/11.80 | | | | | | | | | | | | COMBINE_EQS: (574), (854) imply: % 80.58/11.80 | | | | | | | | | | | | (855) all_10_3 = e4 % 80.58/11.80 | | | | | | | | | | | | % 80.58/11.80 | | | | | | | | | | | | REDUCE: (68), (854) imply: % 80.58/11.80 | | | | | | | | | | | | (856) ~ (all_4_6 = e4) % 80.58/11.80 | | | | | | | | | | | | % 80.58/11.80 | | | | | | | | | | | | REDUCE: (26), (854) imply: % 80.58/11.80 | | | | | | | | | | | | (857) ~ (all_4_21 = e4) % 80.58/11.80 | | | | | | | | | | | | % 80.58/11.80 | | | | | | | | | | | | BETA: splitting (235) gives: % 80.58/11.80 | | | | | | | | | | | | % 80.58/11.80 | | | | | | | | | | | | Case 1: % 80.58/11.80 | | | | | | | | | | | | | % 80.58/11.80 | | | | | | | | | | | | | (858) all_8_1 = e4 % 80.58/11.80 | | | | | | | | | | | | | % 80.58/11.80 | | | | | | | | | | | | | COMBINE_EQS: (397), (858) imply: % 80.58/11.80 | | | | | | | | | | | | | (859) all_4_5 = e4 % 80.58/11.80 | | | | | | | | | | | | | % 80.58/11.80 | | | | | | | | | | | | | COMBINE_EQS: (576), (859) imply: % 80.58/11.80 | | | | | | | | | | | | | (860) all_10_5 = e4 % 80.58/11.80 | | | | | | | | | | | | | % 80.58/11.80 | | | | | | | | | | | | | REDUCE: (78), (859) imply: % 80.58/11.81 | | | | | | | | | | | | | (861) ~ (all_4_7 = e4) % 80.58/11.81 | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | REDUCE: (77), (859) imply: % 80.58/11.81 | | | | | | | | | | | | | (862) ~ (all_4_8 = e4) % 80.58/11.81 | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | REDUCE: (75), (859) imply: % 80.58/11.81 | | | | | | | | | | | | | (863) ~ (all_4_10 = e4) % 80.58/11.81 | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | REDUCE: (73), (859) imply: % 80.58/11.81 | | | | | | | | | | | | | (864) ~ (all_4_20 = e4) % 80.58/11.81 | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | BETA: splitting (307) gives: % 80.58/11.81 | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | Case 1: % 80.58/11.81 | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | (865) (all_10_2 = e3 & ~ (all_10_3 = e4)) | (all_10_5 = % 80.58/11.81 | | | | | | | | | | | | | | e2 & ~ (all_10_6 = e4)) % 80.58/11.81 | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | REF_CLOSE: (68), (72), (235), (302), (316), (350), (354), % 80.58/11.81 | | | | | | | | | | | | | | (370), (373), (386), (400), (402), (403), (406), % 80.58/11.81 | | | | | | | | | | | | | | (486), (487), (526), (532), (797), (805), (807), % 80.58/11.81 | | | | | | | | | | | | | | (809), (837), (838), (855), (858), (860), (865) % 80.58/11.81 | | | | | | | | | | | | | | are inconsistent by sub-proof #132. % 80.58/11.81 | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | Case 2: % 80.58/11.81 | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | (866) (all_10_8 = e1 & ~ (all_10_9 = e4)) | (all_10_11 % 80.58/11.81 | | | | | | | | | | | | | | = e0 & ~ (all_10_12 = e4)) % 80.58/11.81 | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | BETA: splitting (866) gives: % 80.58/11.81 | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | Case 1: % 80.58/11.81 | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | (867) all_10_8 = e1 & ~ (all_10_9 = e4) % 80.58/11.81 | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | ALPHA: (867) implies: % 80.58/11.81 | | | | | | | | | | | | | | | (868) all_10_8 = e1 % 80.58/11.81 | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | COMBINE_EQS: (816), (868) imply: % 80.58/11.81 | | | | | | | | | | | | | | | (869) all_4_10 = e1 % 80.58/11.81 | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | COMBINE_EQS: (407), (869) imply: % 80.58/11.81 | | | | | | | | | | | | | | | (870) all_8_4 = e1 % 80.58/11.81 | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | COMBINE_EQS: (379), (869) imply: % 80.58/11.81 | | | | | | | | | | | | | | | (871) all_10_30 = e1 % 80.58/11.81 | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | REDUCE: (49), (869) imply: % 80.58/11.81 | | | | | | | | | | | | | | | (872) ~ (all_4_20 = e1) % 80.58/11.81 | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | SIMP: (872) implies: % 80.58/11.81 | | | | | | | | | | | | | | | (873) ~ (all_4_20 = e1) % 80.58/11.81 | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | REDUCE: (527), (869) imply: % 80.58/11.81 | | | | | | | | | | | | | | | (874) ~ (e4 = e1) % 80.58/11.81 | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | BETA: splitting (210) gives: % 80.58/11.81 | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | Case 1: % 80.58/11.81 | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | (875) all_8_16 = e1 % 80.58/11.81 | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | COMBINE_EQS: (428), (875) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | (876) all_4_20 = e1 % 80.58/11.81 | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | SIMP: (876) implies: % 80.58/11.81 | | | | | | | | | | | | | | | | (877) all_4_20 = e1 % 80.58/11.81 | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | REDUCE: (873), (877) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | (878) $false % 80.58/11.81 | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | CLOSE: (878) is inconsistent. % 80.58/11.81 | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | Case 2: % 80.58/11.81 | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | (879) all_8_17 = e1 | all_8_18 = e1 | all_8_19 = e1 | % 80.58/11.81 | | | | | | | | | | | | | | | | all_8_24 = e1 % 80.58/11.81 | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | BETA: splitting (879) gives: % 80.58/11.81 | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | Case 1: % 80.58/11.81 | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | (880) all_8_17 = e1 % 80.58/11.81 | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (880) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | (881) all_4_21 = e1 % 80.58/11.81 | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | SIMP: (881) implies: % 80.58/11.81 | | | | | | | | | | | | | | | | | (882) all_4_21 = e1 % 80.58/11.81 | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | REDUCE: (515), (882) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | (883) $false % 80.58/11.81 | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | CLOSE: (883) is inconsistent. % 80.58/11.81 | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | Case 2: % 80.58/11.81 | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | (884) all_8_18 = e1 | all_8_19 = e1 | all_8_24 = e1 % 80.58/11.81 | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | BETA: splitting (847) gives: % 80.58/11.81 | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | Case 1: % 80.58/11.81 | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | (885) ~ (all_10_30 = e1) % 80.58/11.81 | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | REDUCE: (871), (885) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | (886) $false % 80.58/11.81 | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | CLOSE: (886) is inconsistent. % 80.58/11.81 | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | Case 2: % 80.58/11.81 | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | (887) all_10_44 = e2 & ~ (unit = e1) % 80.58/11.81 | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | ALPHA: (887) implies: % 80.58/11.81 | | | | | | | | | | | | | | | | | | (888) all_10_44 = e2 % 80.58/11.81 | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (376), (888) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | (889) all_4_15 = e2 % 80.58/11.81 | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | SIMP: (889) implies: % 80.58/11.81 | | | | | | | | | | | | | | | | | | (890) all_4_15 = e2 % 80.58/11.81 | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (890) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | (891) all_8_9 = e2 % 80.58/11.81 | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | REDUCE: (30), (890) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | (892) ~ (all_4_20 = e2) % 80.58/11.81 | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | SIMP: (892) implies: % 80.58/11.81 | | | | | | | | | | | | | | | | | | (893) ~ (all_4_20 = e2) % 80.58/11.81 | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | BETA: splitting (884) gives: % 80.58/11.81 | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | Case 1: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | (894) all_8_18 = e1 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (894) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | (895) all_4_22 = e1 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | SIMP: (895) implies: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | (896) all_4_22 = e1 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (340), (896) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | (897) all_10_64 = e1 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | REDUCE: (62), (896) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | (898) ~ (all_4_7 = e1) % 80.58/11.81 | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | REDUCE: (525), (896) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | (899) ~ (e3 = e1) % 80.58/11.81 | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | SIMP: (899) implies: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | (900) ~ (e3 = e1) % 80.58/11.81 | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | REDUCE: (571), (896) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | (901) op(e0, e1) = all_10_62 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | BETA: splitting (846) gives: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | Case 1: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | (902) ~ (all_10_64 = e1) % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | REDUCE: (897), (902) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | (903) $false % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | CLOSE: (903) is inconsistent. % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | Case 2: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | (904) all_10_50 = e0 & ~ (unit = e1) % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | ALPHA: (904) implies: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | (905) all_10_50 = e0 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (905) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | (906) all_4_17 = e0 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | SIMP: (906) implies: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | (907) all_4_17 = e0 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (907) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | (908) ~ (all_4_7 = e0) % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | BETA: splitting (170) gives: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | Case 1: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | (909) all_6_11 = e4 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (909) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | (910) all_4_7 = e4 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | REDUCE: (526), (910) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | (911) $false % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | CLOSE: (911) is inconsistent. % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | Case 2: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | (912) ~ (all_6_11 = e4) % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | (913) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | all_6_11 = e0 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | (914) all_8_16 = e2 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (428), (914) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | (915) all_4_20 = e2 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | SIMP: (915) implies: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | (916) all_4_20 = e2 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (893), (916) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | (917) $false % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (917) is inconsistent. % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | (918) all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | all_8_24 = e2 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (913) gives: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | (919) all_6_11 = e2 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (919) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | (920) all_4_7 = e2 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (920) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | (921) ~ (all_4_9 = e2) % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (921) implies: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | (922) ~ (all_4_9 = e2) % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (526), (920) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | (923) ~ (e4 = e2) % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (908), (920) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | (924) ~ (e2 = e0) % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (918) gives: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | (925) all_8_17 = e2 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (925) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | (926) all_4_21 = e2 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (926) implies: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | (927) all_4_21 = e2 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (927) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | (928) ~ (all_4_11 = e2) % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (927) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | (929) op(e0, e2) = all_10_59 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | (930) all_8_4 = e2 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (870), (930) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | (931) e2 = e1 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (931) implies: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | (932) e2 = e1 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (932) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | (933) $false % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (933) is inconsistent. % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | (934) all_8_5 = e2 | all_8_8 = e2 | all_8_14 = e2 | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | all_8_22 = e2 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (935) all_8_0 = e3 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (388), (491), (935) are inconsistent by sub-proof % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | #131. % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (936) all_8_1 = e3 | all_8_4 = e3 | all_8_9 = e3 | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16 = e3 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (936) gives: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (937) all_8_1 = e3 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (858), (937) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (938) e4 = e3 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (938) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (939) $false % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (939) is inconsistent. % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | (940) all_8_4 = e3 | all_8_9 = e3 | all_8_16 = e3 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (940) gives: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (941) all_8_4 = e3 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (870), (941) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (942) e3 = e1 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (942) implies: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (943) e3 = e1 % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (900), (943) imply: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (944) $false % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (944) is inconsistent. % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.58/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (945) all_8_9 = e3 | all_8_16 = e3 % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (945) gives: % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (946) all_8_9 = e3 % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (891), (946) imply: % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (947) e3 = e2 % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (947) imply: % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (948) $false % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (948) is inconsistent. % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (949) all_8_16 = e3 % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (428), (949) imply: % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (950) all_4_20 = e3 % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (950) implies: % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (951) all_4_20 = e3 % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (951) imply: % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (952) op(e0, e3) = all_10_56 % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (934) gives: % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (953) all_8_5 = e2 % 80.63/11.81 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (953) imply: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (954) all_4_11 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (928), (954) imply: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (955) $false % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (955) is inconsistent. % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (956) all_8_8 = e2 | all_8_14 = e2 | all_8_22 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (957) all_8_20 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (804), (957) imply: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (958) e4 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (958) implies: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (959) e4 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (68), (72), (235), (302), (316), (350), (354), % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (370), (373), (386), (400), (402), (403), (406), % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (486), (487), (526), (532), (797), (805), (807), % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (809), (837), (838), (858), (959) are inconsistent % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #133. % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (960) ~ (all_8_20 = e2) % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (961) all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_24 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (961) gives: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (962) all_8_21 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (406), (922), (962) are inconsistent by sub-proof % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #130. % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (963) all_8_22 = e2 | all_8_23 = e2 | all_8_24 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (963) gives: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (964) all_8_22 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (964) imply: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (965) all_4_14 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (965) implies: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (966) all_4_14 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (966) imply: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (967) ~ (all_4_19 = e2) % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (967) implies: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (968) ~ (all_4_19 = e2) % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (966) imply: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (969) op(e0, e2) = all_10_40 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (110), (966) imply: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (970) op(e0, e2) = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_19, % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_62, e1, e0, simplifying with (109), (901) % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (971) all_10_62 = all_4_19 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_59, % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_40, e2, e0, simplifying with (929), (969) % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (972) all_10_40 = all_10_59 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_40, e2, e0, simplifying with (969), (970) % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (973) all_10_40 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9, % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_56, e3, e0, simplifying with (111), (952) % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (974) all_10_56 = all_4_9 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_65, e4, e0, simplifying with (813), (839) % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (975) all_10_65 = e4 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (972), (973) imply: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (976) all_10_59 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (976) implies: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (977) all_10_59 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (978) (all_10_56 = e4 & ~ (all_10_57 = e0)) | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_59 = e3 & ~ (all_10_60 = e0)) % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (978) gives: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (979) all_10_56 = e4 & ~ (all_10_57 = e0) % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (807), (974), (979) are inconsistent by sub-proof % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #129. % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (980) all_10_59 = e3 & ~ (all_10_60 = e0) % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (980) implies: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (981) all_10_59 = e3 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (977), (981) imply: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (982) e3 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (982) implies: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (983) e3 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (983) imply: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (984) $false % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (984) is inconsistent. % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (985) (all_10_62 = e2 & ~ (all_10_63 = e0)) | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_65 = e1 & ~ (all_10_66 = e0)) % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (985) gives: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (986) all_10_62 = e2 & ~ (all_10_63 = e0) % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (986) implies: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (987) all_10_62 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (971), (987) imply: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (988) all_4_19 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (968), (988) imply: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (989) $false % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (989) is inconsistent. % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (990) all_10_65 = e1 & ~ (all_10_66 = e0) % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (810), (975), (990) are inconsistent by sub-proof % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #128. % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (991) ~ (all_8_22 = e2) % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (345), (414), (415), (793), (809), (956), (991) % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #127. % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | (992) all_8_18 = e2 | all_8_19 = e2 | all_8_24 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (992) gives: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | (993) all_8_18 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (894), (993) imply: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | (994) e2 = e1 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (994) imply: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | (995) $false % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (995) is inconsistent. % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | (996) all_8_19 = e2 | all_8_24 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (996) gives: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (997) all_8_19 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (836), (997) imply: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (998) e4 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (998) implies: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (999) e4 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (68), (72), (235), (302), (316), (350), (354), % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (370), (373), (386), (400), (402), (403), (406), % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (486), (487), (526), (532), (797), (805), (807), % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (809), (837), (838), (858), (999) are inconsistent % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #133. % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (1000) all_8_24 = e2 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (577), (1000) imply: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (1001) e2 = e0 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (924), (1001) imply: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | (1002) $false % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1002) is inconsistent. % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | (1003) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (521), (898), (908), (1003) are % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #126. % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | (1004) all_8_19 = e1 | all_8_24 = e1 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | BETA: splitting (1004) gives: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | (1005) all_8_19 = e1 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (836), (1005) imply: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | (1006) e4 = e1 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | SIMP: (1006) implies: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | (1007) e4 = e1 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (810), (1007) imply: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | (1008) $false % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | CLOSE: (1008) is inconsistent. % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | (1009) all_8_24 = e1 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (577), (1009) imply: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | (1010) e1 = e0 % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (1010) imply: % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | (1011) $false % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | CLOSE: (1011) is inconsistent. % 80.63/11.82 | | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | Case 2: % 80.63/11.82 | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | (1012) all_10_11 = e0 & ~ (all_10_12 = e4) % 80.63/11.82 | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | ALPHA: (1012) implies: % 80.63/11.82 | | | | | | | | | | | | | | | (1013) ~ (all_10_12 = e4) % 80.63/11.82 | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | REDUCE: (814), (1013) imply: % 80.63/11.82 | | | | | | | | | | | | | | | (1014) $false % 80.63/11.82 | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | | CLOSE: (1014) is inconsistent. % 80.63/11.82 | | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | | End of split % 80.63/11.82 | | | | | | | | | | | | | % 80.63/11.82 | | | | | | | | | | | | Case 2: % 80.63/11.82 | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | (1015) all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 | % 80.63/11.83 | | | | | | | | | | | | | all_8_21 = e4 % 80.63/11.83 | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | BETA: splitting (1015) gives: % 80.63/11.83 | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | Case 1: % 80.63/11.83 | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | (1016) all_8_3 = e4 % 80.63/11.83 | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | COMBINE_EQS: (400), (1016) imply: % 80.63/11.83 | | | | | | | | | | | | | | (1017) all_4_6 = e4 % 80.63/11.83 | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | REDUCE: (856), (1017) imply: % 80.63/11.83 | | | | | | | | | | | | | | (1018) $false % 80.63/11.83 | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | CLOSE: (1018) is inconsistent. % 80.63/11.83 | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | Case 2: % 80.63/11.83 | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | (1019) all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4 % 80.63/11.83 | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | REF_CLOSE: (402), (403), (406), (526), (807), (837), (1019) % 80.63/11.83 | | | | | | | | | | | | | | are inconsistent by sub-proof #135. % 80.63/11.83 | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | End of split % 80.63/11.83 | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | End of split % 80.63/11.83 | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | End of split % 80.63/11.83 | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | Case 2: % 80.63/11.83 | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | (1020) ( ~ (all_10_1 = e0) | (all_10_58 = e4 & ~ (unit = % 80.63/11.83 | | | | | | | | | | | e0))) & ( ~ (all_10_4 = e0) | (all_10_61 = % 80.63/11.83 | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_7 = e0) | % 80.63/11.83 | | | | | | | | | | | (all_10_64 = e4 & ~ (unit = e0))) & ( ~ % 80.63/11.83 | | | | | | | | | | | (all_10_10 = e0) | (all_10_67 = e4 & ~ (unit = % 80.63/11.83 | | | | | | | | | | | e0))) & ( ~ (all_10_13 = e0) | (all_10_69 = % 80.63/11.83 | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_16 = e0) | % 80.63/11.83 | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 80.63/11.83 | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit = % 80.63/11.83 | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_64 = % 80.63/11.83 | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_24 = e0) | % 80.63/11.83 | | | | | | | | | | | (all_10_67 = e3 & ~ (unit = e0))) & ( ~ % 80.63/11.83 | | | | | | | | | | | (all_10_27 = e0) | (all_10_69 = e3 & ~ (unit = % 80.63/11.83 | | | | | | | | | | | e0))) & ( ~ (all_10_30 = e0) | (all_10_58 = % 80.63/11.83 | | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_33 = e0) | % 80.63/11.83 | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 80.63/11.83 | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit = % 80.63/11.83 | | | | | | | | | | | e0))) & ( ~ (all_10_38 = e0) | (all_10_67 = % 80.63/11.83 | | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_41 = e0) | % 80.63/11.83 | | | | | | | | | | | (all_10_69 = e2 & ~ (unit = e0))) & ( ~ % 80.63/11.83 | | | | | | | | | | | (all_10_44 = e0) | (all_10_58 = e1 & ~ (unit = % 80.63/11.83 | | | | | | | | | | | e0))) & ( ~ (all_10_47 = e0) | (all_10_61 = % 80.63/11.83 | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_50 = e0) | % 80.63/11.83 | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 80.63/11.83 | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit = % 80.63/11.83 | | | | | | | | | | | e0))) & ( ~ (all_10_55 = e0) | (all_10_69 = % 80.63/11.83 | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_58 = e0) | % 80.63/11.83 | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_61 = e0) | ~ % 80.63/11.83 | | | | | | | | | | | (unit = e0)) & ( ~ (all_10_64 = e0) | ~ (unit = % 80.63/11.83 | | | | | | | | | | | e0)) & ( ~ (all_10_67 = e0) | ~ (unit = e0)) % 80.63/11.83 | | | | | | | | | | | & ( ~ (all_10_69 = e0) | ~ (unit = e0)) % 80.63/11.83 | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | REF_CLOSE: (373), (386), (838), (1020) are inconsistent by % 80.63/11.83 | | | | | | | | | | | sub-proof #167. % 80.63/11.83 | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | End of split % 80.63/11.83 | | | | | | | | | | % 80.63/11.83 | | | | | | | | | End of split % 80.63/11.83 | | | | | | | | | % 80.63/11.83 | | | | | | | | End of split % 80.63/11.83 | | | | | | | | % 80.63/11.83 | | | | | | | Case 2: % 80.63/11.83 | | | | | | | | % 80.63/11.83 | | | | | | | | (1021) ~ (all_6_19 = e4) % 80.63/11.83 | | | | | | | | (1022) all_6_19 = e3 | all_6_19 = e2 | all_6_19 = e1 | % 80.63/11.83 | | | | | | | | all_6_19 = e0 % 80.63/11.83 | | | | | | | | % 80.63/11.83 | | | | | | | | REDUCE: (472), (1021) imply: % 80.63/11.83 | | | | | | | | (1023) ~ (all_4_23 = e4) % 80.63/11.83 | | | | | | | | % 80.63/11.83 | | | | | | | | BETA: splitting (213) gives: % 80.63/11.83 | | | | | | | | % 80.63/11.83 | | | | | | | | Case 1: % 80.63/11.83 | | | | | | | | | % 80.63/11.83 | | | | | | | | | (1024) all_8_16 = e4 % 80.63/11.83 | | | | | | | | | % 80.63/11.83 | | | | | | | | | COMBINE_EQS: (428), (1024) imply: % 80.63/11.83 | | | | | | | | | (1025) all_4_20 = e4 % 80.63/11.83 | | | | | | | | | % 80.63/11.83 | | | | | | | | | SIMP: (1025) implies: % 80.63/11.83 | | | | | | | | | (1026) all_4_20 = e4 % 80.63/11.83 | | | | | | | | | % 80.63/11.83 | | | | | | | | | REDUCE: (19), (1026) imply: % 80.63/11.83 | | | | | | | | | (1027) ~ (all_4_21 = e4) % 80.63/11.83 | | | | | | | | | % 80.63/11.83 | | | | | | | | | REDUCE: (17), (1026) imply: % 80.63/11.83 | | | | | | | | | (1028) ~ (all_4_23 = e4) % 80.63/11.83 | | | | | | | | | % 80.63/11.83 | | | | | | | | | BETA: splitting (231) gives: % 80.63/11.83 | | | | | | | | | % 80.63/11.83 | | | | | | | | | Case 1: % 80.63/11.83 | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | (1029) all_8_2 = e4 % 80.63/11.83 | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | REF_CLOSE: (390), (810), (1029) are inconsistent by sub-proof % 80.63/11.83 | | | | | | | | | | #181. % 80.63/11.83 | | | | | | | | | | % 80.63/11.83 | | | | | | | | | Case 2: % 80.63/11.83 | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | (1030) all_8_3 = e4 | all_8_5 = e4 | all_8_10 = e4 | % 80.63/11.83 | | | | | | | | | | all_8_17 = e4 % 80.63/11.83 | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | BETA: splitting (216) gives: % 80.63/11.83 | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | Case 1: % 80.63/11.83 | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | (1031) all_8_12 = e4 % 80.63/11.83 | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | COMBINE_EQS: (788), (1031) imply: % 80.63/11.83 | | | | | | | | | | | (1032) e4 = e2 % 80.63/11.83 | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | REDUCE: (809), (1032) imply: % 80.63/11.83 | | | | | | | | | | | (1033) $false % 80.63/11.83 | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | CLOSE: (1033) is inconsistent. % 80.63/11.83 | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | Case 2: % 80.63/11.83 | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | (1034) all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 | % 80.63/11.83 | | | | | | | | | | | all_8_19 = e4 % 80.63/11.83 | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | BETA: splitting (224) gives: % 80.63/11.83 | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | Case 1: % 80.63/11.83 | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | (1035) all_8_4 = e0 % 80.63/11.83 | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | COMBINE_EQS: (407), (1035) imply: % 80.63/11.83 | | | | | | | | | | | | (1036) all_4_10 = e0 % 80.63/11.83 | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | SIMP: (1036) implies: % 80.63/11.83 | | | | | | | | | | | | (1037) all_4_10 = e0 % 80.63/11.83 | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | REDUCE: (499), (1037) imply: % 80.63/11.83 | | | | | | | | | | | | (1038) $false % 80.63/11.83 | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | CLOSE: (1038) is inconsistent. % 80.63/11.83 | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | Case 2: % 80.63/11.83 | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | (1039) ~ (all_8_4 = e0) % 80.63/11.83 | | | | | | | | | | | | (1040) all_8_5 = e0 | all_8_8 = e0 | all_8_14 = e0 | % 80.63/11.83 | | | | | | | | | | | | all_8_22 = e0 % 80.63/11.83 | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | BETA: splitting (221) gives: % 80.63/11.83 | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | Case 1: % 80.63/11.83 | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | (1041) all_8_6 = e0 % 80.63/11.83 | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | REF_CLOSE: (392), (491), (1041) are inconsistent by sub-proof % 80.63/11.83 | | | | | | | | | | | | | #162. % 80.63/11.83 | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | Case 2: % 80.63/11.83 | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | (1042) all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | % 80.63/11.83 | | | | | | | | | | | | | all_8_18 = e0 % 80.63/11.83 | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | BETA: splitting (165) gives: % 80.63/11.83 | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | Case 1: % 80.63/11.83 | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | (1043) all_6_17 = e4 % 80.63/11.83 | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | COMBINE_EQS: (462), (1043) imply: % 80.63/11.83 | | | | | | | | | | | | | | (1044) all_4_13 = e4 % 80.63/11.83 | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | REDUCE: (530), (1044) imply: % 80.63/11.83 | | | | | | | | | | | | | | (1045) $false % 80.63/11.83 | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | CLOSE: (1045) is inconsistent. % 80.63/11.83 | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | Case 2: % 80.63/11.83 | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | (1046) ~ (all_6_17 = e4) % 80.63/11.83 | | | | | | | | | | | | | | (1047) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 | % 80.63/11.83 | | | | | | | | | | | | | | all_6_17 = e0 % 80.63/11.83 | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | BETA: splitting (177) gives: % 80.63/11.83 | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | Case 1: % 80.63/11.83 | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | (1048) all_6_2 = e4 % 80.63/11.83 | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | COMBINE_EQS: (444), (1048) imply: % 80.63/11.83 | | | | | | | | | | | | | | | (1049) all_4_10 = e4 % 80.63/11.83 | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | REDUCE: (527), (1049) imply: % 80.63/11.83 | | | | | | | | | | | | | | | (1050) $false % 80.63/11.83 | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | CLOSE: (1050) is inconsistent. % 80.63/11.83 | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | Case 2: % 80.63/11.83 | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | (1051) ~ (all_6_2 = e4) % 80.63/11.83 | | | | | | | | | | | | | | | (1052) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | % 80.63/11.83 | | | | | | | | | | | | | | | all_6_2 = e0 % 80.63/11.83 | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | BETA: splitting (170) gives: % 80.63/11.83 | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | Case 1: % 80.63/11.83 | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | | (1053) all_6_11 = e4 % 80.63/11.83 | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | | REF_CLOSE: (450), (526), (1053) are inconsistent by sub-proof % 80.63/11.83 | | | | | | | | | | | | | | | | #169. % 80.63/11.83 | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | Case 2: % 80.63/11.83 | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | | (1054) ~ (all_6_11 = e4) % 80.63/11.83 | | | | | | | | | | | | | | | | (1055) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 | % 80.63/11.83 | | | | | | | | | | | | | | | | all_6_11 = e0 % 80.63/11.83 | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | | BETA: splitting (160) gives: % 80.63/11.83 | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | | Case 1: % 80.63/11.83 | | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | | | (1056) all_6_22 = e4 % 80.63/11.83 | | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (532), (1056) are inconsistent by sub-proof % 80.63/11.83 | | | | | | | | | | | | | | | | | #125. % 80.63/11.83 | | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | | Case 2: % 80.63/11.83 | | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | | | (1057) ~ (all_6_22 = e4) % 80.63/11.83 | | | | | | | | | | | | | | | | | (1058) all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e1 | % 80.63/11.83 | | | | | | | | | | | | | | | | | all_6_22 = e0 % 80.63/11.83 | | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | | | BETA: splitting (212) gives: % 80.63/11.83 | | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.83 | | | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | | | | (1059) all_8_16 = e3 % 80.63/11.83 | | | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | | | | REF_CLOSE: (808), (1024), (1059) are inconsistent by % 80.63/11.83 | | | | | | | | | | | | | | | | | | sub-proof #124. % 80.63/11.83 | | | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.83 | | | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | | | | (1060) all_8_17 = e3 | all_8_18 = e3 | all_8_19 = e3 | % 80.63/11.83 | | | | | | | | | | | | | | | | | | all_8_24 = e3 % 80.63/11.83 | | | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives: % 80.63/11.83 | | | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.83 | | | | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | | | | | (1061) all_6_13 = e4 % 80.63/11.83 | | | | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (457), (534), (1061) are inconsistent by sub-proof % 80.63/11.83 | | | | | | | | | | | | | | | | | | | #123. % 80.63/11.83 | | | | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.83 | | | | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | | | | | (1062) ~ (all_6_13 = e4) % 80.63/11.83 | | | | | | | | | | | | | | | | | | | (1063) all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 | % 80.63/11.83 | | | | | | | | | | | | | | | | | | | all_6_13 = e0 % 80.63/11.83 | | | | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives: % 80.63/11.83 | | | | | | | | | | | | | | | | | | | % 80.63/11.83 | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.83 | | | | | | | | | | | | | | | | | | | | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (1064) (( ~ (all_10_1 = e4) | ~ (unit = e4)) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_4 = e4) | ~ (unit = e4)) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4) | ~ (unit = e4)) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_10 = e4) | ~ (unit = e4)) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_13 = e4) | ~ (unit = e4)) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_16 = e4) | (all_10_1 = e3 & ~ (unit = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_18 = e4) | (all_10_4 = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_21 = e4) % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3 & ~ (unit = e4))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_24 = e4) | (all_10_10 = e3 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_27 = e4) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_13 = e3 & ~ (unit = e4))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_30 = e4) | (all_10_1 = e2 & ~ (unit = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_33 = e4) | (all_10_4 = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e4))) & ( ~ (all_10_35 = e4) % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e2 & ~ (unit = e4))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_38 = e4) | (all_10_10 = e2 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_41 = e4) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_13 = e2 & ~ (unit = e4))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_44 = e4) | (all_10_1 = e1 & ~ (unit = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_47 = e4) | (all_10_4 = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e4))) & ( ~ (all_10_50 = e4) % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e1 & ~ (unit = e4))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_52 = e4) | (all_10_10 = e1 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_55 = e4) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e4))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_58 = e4) | (all_10_1 = e0 & ~ (unit = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_61 = e4) | (all_10_4 = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4))) & ( ~ (all_10_64 = e4) % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e0 & ~ (unit = e4))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_67 = e4) | (all_10_10 = e0 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_69 = e4) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0 & ~ (unit = e4)))) | (( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_16 = e4 & ~ (unit = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_4 = e3) | (all_10_18 = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e3))) & ( ~ (all_10_7 = e3) % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e4 & ~ (unit = e3))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_10 = e3) | (all_10_24 = e4 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_13 = e3) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_27 = e4 & ~ (unit = e3))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_16 = e3) | ~ (unit = e3)) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_18 = e3) | ~ (unit = e3)) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_21 = e3) | ~ (unit = e3)) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3) | ~ (unit = e3)) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_27 = e3) | ~ (unit = e3)) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_30 = e3) | (all_10_16 = e2 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_33 = e3) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_18 = e2 & ~ (unit = e3))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_35 = e3) | (all_10_21 = e2 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_38 = e3) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_24 = e2 & ~ (unit = e3))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_41 = e3) | (all_10_27 = e2 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_44 = e3) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1 & ~ (unit = e3))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_47 = e3) | (all_10_18 = e1 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_50 = e3) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_52 = e3) | (all_10_24 = e1 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_55 = e3) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_27 = e1 & ~ (unit = e3))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_58 = e3) | (all_10_16 = e0 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_61 = e3) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0 & ~ (unit = e3))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_64 = e3) | (all_10_21 = e0 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_67 = e3) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_24 = e0 & ~ (unit = e3))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_69 = e3) | (all_10_27 = e0 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e3)))) % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (350), (354), (487), (526), (797), (1064) are % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #184. % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (1065) (( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_4 = e2) | (all_10_33 % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2))) & ( ~ (all_10_7 = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | e2) | (all_10_35 = e4 & ~ (unit = e2))) & ( % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | ~ (all_10_10 = e2) | (all_10_38 = e4 & ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (unit = e2))) & ( ~ (all_10_13 = e2) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_41 = e4 & ~ (unit = e2))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_16 = e2) | (all_10_30 = e3 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_18 = e2) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_33 = e3 & ~ (unit = e2))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_21 = e2) | (all_10_35 = e3 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_24 = e2) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_30 = e2) | ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_33 = e2) | ~ (unit = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_35 = e2) | ~ (unit = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_38 = e2) | ~ (unit = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_41 = e2) | ~ (unit = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_44 = e2) | (all_10_30 = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_47 = e2) % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (all_10_33 = e1 & ~ (unit = e2))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_50 = e2) | (all_10_35 = e1 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_52 = e2) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_38 = e1 & ~ (unit = e2))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_55 = e2) | (all_10_41 = e1 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_58 = e2) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_64 = e2) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_35 = e0 & ~ (unit = e2))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_67 = e2) | (all_10_38 = e0 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_69 = e2) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_41 = e0 & ~ (unit = e2)))) | (( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_55 = e4 & ~ (unit = e1))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_18 = e1) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_47 = e3 & ~ (unit = e1))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_24 = e1) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_30 = e1) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_35 = e1) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_50 = e2 & ~ (unit = e1))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_41 = e1) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_61 = e1) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_47 = e0 & ~ (unit = e1))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_64 = e1) | (all_10_50 = e0 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_67 = e1) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0 & ~ (unit = e1))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_69 = e1) | (all_10_55 = e0 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e1)))) | (( ~ (all_10_1 = e0) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_16 = e0) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_21 = e0) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_27 = e0) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_33 = e0) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_38 = e0) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_44 = e0) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_50 = e0) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_55 = e0) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_58 = e0) | ~ (unit = e0)) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | ~ (unit = e0)) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | (all_10_69 = e0) | ~ (unit = e0))) % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1065) gives: % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (1066) ( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_4 = e2) | (all_10_33 = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_7 = e2) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e4 & ~ (unit = e2))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_13 = e2) | (all_10_41 = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_16 = e2) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e3 & ~ (unit = e2))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e2) | (all_10_33 = e3 & ~ (unit = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_21 = e2) | (all_10_35 = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_24 = e2) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_30 = e2) | ~ (unit = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_33 = e2) | ~ (unit = e2)) % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_10_35 = e2) | ~ (unit = e2)) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e2) | ~ (unit = e2)) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (all_10_41 = e2) | ~ (unit = e2)) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e2) | (all_10_30 = e1 & ~ (unit = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_47 = e2) | (all_10_33 = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_50 = e2) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e1 & ~ (unit = e2))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e2) | (all_10_38 = e1 & ~ (unit = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_55 = e2) | (all_10_41 = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_58 = e2) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_64 = e2) | (all_10_35 = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_67 = e2) | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e0 & ~ (unit = e2))) & ( ~ % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | e2))) % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1066) implies: % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | (1067) ~ (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit = % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | e2)) % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (331), (530), (789), (1067) are inconsistent by % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | sub-proof #139. % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.84 | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (1068) (( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_4 = e1) | (all_10_47 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1))) & ( ~ (all_10_7 = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | e1) | (all_10_50 = e4 & ~ (unit = e1))) & ( % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | ~ (all_10_10 = e1) | (all_10_52 = e4 & ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (unit = e1))) & ( ~ (all_10_13 = e1) | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e4 & ~ (unit = e1))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_18 = e1) | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e3 & ~ (unit = e1))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_24 = e1) | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_30 = e1) | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_35 = e1) | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e2 & ~ (unit = e1))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_41 = e1) | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_61 = e1) | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e0 & ~ (unit = e1))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e1) | (all_10_50 = e0 & ~ (unit % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_67 = e1) | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0 & ~ (unit = e1))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e1) | (all_10_55 = e0 & ~ (unit % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | = e1)))) | (( ~ (all_10_1 = e0) | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_16 = e0) | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_21 = e0) | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_27 = e0) | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_33 = e0) | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_38 = e0) | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_44 = e0) | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_50 = e0) | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_55 = e0) | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e0) | ~ (unit = e0)) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | ~ (unit = e0)) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e0) | ~ (unit = e0))) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1068) gives: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (1069) ( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_13 = e1) | (all_10_55 = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_16 = e1) | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e3 & ~ (unit = e1))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_47 = e3 & ~ (unit = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_50 = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_24 = e1) | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_30 = e1) | (all_10_44 = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_33 = e1) | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e2 & ~ (unit = e1))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e1) | (all_10_50 = e2 & ~ (unit = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_38 = e1) | (all_10_52 = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_41 = e1) | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_61 = e1) | (all_10_47 = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_64 = e1) | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e0 & ~ (unit = e1))) & ( ~ % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e1) | (all_10_52 = e0 & ~ (unit = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_69 = e1) | (all_10_55 = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1069) implies: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (1070) ~ (all_10_67 = e1) | (all_10_52 = e0 & ~ (unit = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | e1)) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (1071) ~ (all_10_64 = e1) | (all_10_50 = e0 & ~ (unit = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | e1)) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (1072) ~ (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | e1)) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (1073) ~ (all_10_30 = e1) | (all_10_44 = e2 & ~ (unit = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | e1)) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (1074) ~ (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | e1)) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (1075) ~ (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | e1)) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | (1076) ~ (all_10_4 = e1) | (all_10_47 = e4 & ~ (unit = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | e1)) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1076) gives: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | (1077) ~ (all_10_4 = e1) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (1077) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | (1078) $false % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1078) is inconsistent. % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | (1079) all_10_47 = e4 & ~ (unit = e1) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1079) implies: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | (1080) all_10_47 = e4 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (1080) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | (1081) all_4_16 = e4 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1081) implies: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | (1082) all_4_16 = e4 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (358), (1082) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | (1083) all_8_10 = e4 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (1082) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | (1084) all_10_3 = e4 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (1082) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | (1085) ~ (all_4_15 = e4) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (1082) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | (1086) ~ (all_4_18 = e4) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1086) implies: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | (1087) ~ (all_4_18 = e4) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (561), (1082) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | (1088) op(e1, e4) = all_10_45 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1034) gives: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | (1089) all_8_13 = e4 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (1089) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | (1090) all_4_8 = e4 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1090) implies: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | (1091) all_4_8 = e4 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (558), (1091) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | (1092) op(e1, e4) = all_10_23 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (116), (1091) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | (1093) op(e1, e3) = e4 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1075) gives: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | (1094) ~ (all_10_21 = e1) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (1094) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | (1095) ~ (all_4_7 = e1) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e4, e1, simplifying with (801), (1092) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | (1096) all_10_23 = e2 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_45, % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e4, e1, simplifying with (1088), (1092) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | (1097) all_10_23 = all_10_45 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1096), (1097) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | (1098) all_10_45 = e2 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (1099) (all_10_2 = e3 & ~ (all_10_3 = e4)) | (all_10_5 = % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_10_6 = e4)) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1099) gives: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1100) all_10_2 = e3 & ~ (all_10_3 = e4) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1100) implies: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1101) ~ (all_10_3 = e4) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1084), (1101) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1102) $false % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1102) is inconsistent. % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1103) all_10_5 = e2 & ~ (all_10_6 = e4) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1103) implies: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1104) all_10_5 = e2 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (1104) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1105) all_4_5 = e2 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (1105) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1106) all_8_1 = e2 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (1105) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1107) ~ (all_4_7 = e2) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1107) implies: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1108) ~ (all_4_7 = e2) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (1105) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1109) ~ (all_4_10 = e2) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1109) implies: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1110) ~ (all_4_10 = e2) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (1105) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1111) ~ (all_4_15 = e2) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1111) implies: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1112) ~ (all_4_15 = e2) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (32), (33), (38), (52), (57), (65), (222), % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (225), (233), (236), (328), (331), (345), % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (379), (388), (392), (400), (402), (406), % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (407), (410), (414), (415), (418), (422), (444), % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (489), (499), (509), (511), (530), (797), (798), % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (807), (810), (1024), (1052), (1072), (1073), % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1087), (1089), (1095), (1106), (1108), (1110), % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1112) are inconsistent by sub-proof #119. % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | (1113) (all_10_8 = e1 & ~ (all_10_9 = e4)) | (all_10_11 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_10_12 = e4)) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1113) gives: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1114) all_10_8 = e1 & ~ (all_10_9 = e4) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1114) implies: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1115) all_10_8 = e1 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1116) ~ (all_10_9 = e4) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (816), (1115) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1117) all_4_10 = e1 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (1117) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1118) all_8_4 = e1 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (1117) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1119) all_10_30 = e1 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (1117) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1120) ~ (all_4_5 = e1) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (1117) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1121) ~ (all_4_15 = e1) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1121) implies: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1122) ~ (all_4_15 = e1) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (527), (1117) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1123) ~ (e4 = e1) % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1124) all_8_1 = e1 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (1124) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1125) all_4_5 = e1 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1120), (1125) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1126) $false % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1126) is inconsistent. % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1127) all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_21 = e1 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1127) gives: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1128) all_8_3 = e1 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (1128) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1129) all_4_6 = e1 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (509), (1129) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1130) $false % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1130) is inconsistent. % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1131) all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1131) gives: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1132) all_8_7 = e1 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (1132) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1133) all_4_7 = e1 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1095), (1133) imply: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1134) $false % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1134) is inconsistent. % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1135) all_8_13 = e1 | all_8_21 = e1 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1135) gives: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1136) all_8_13 = e1 % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (810), (1089), (1136) are inconsistent by % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #120. % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.85 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1137) all_8_21 = e1 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (1137) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1138) all_4_9 = e1 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1138) implies: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1139) all_4_9 = e1 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (319), (1139) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1140) all_10_27 = e1 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (1139) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1141) ~ (all_4_14 = e1) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1141) implies: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1142) ~ (all_4_14 = e1) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1074) gives: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1143) ~ (all_10_27 = e1) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1140), (1143) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1144) $false % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1144) is inconsistent. % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1145) all_10_55 = e3 & ~ (unit = e1) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1145) implies: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1146) all_10_55 = e3 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (1146) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1147) all_4_19 = e3 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1147) implies: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1148) all_4_19 = e3 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (1148) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1149) ~ (all_4_14 = e3) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (1148) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1150) op(e1, e3) = all_10_53 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1073) gives: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1151) ~ (all_10_30 = e1) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1119), (1151) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1152) $false % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1152) is inconsistent. % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1153) all_10_44 = e2 & ~ (unit = e1) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1153) implies: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1154) all_10_44 = e2 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (376), (1154) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1155) all_4_15 = e2 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1155) implies: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1156) all_4_15 = e2 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (1156) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1157) all_8_9 = e2 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (1156) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1158) ~ (all_4_17 = e2) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1158) implies: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1159) ~ (all_4_17 = e2) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (1156) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1160) ~ (all_4_18 = e2) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1160) implies: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1161) ~ (all_4_18 = e2) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1085), (1156) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1162) ~ (e4 = e2) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (1156) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1163) op(e1, e2) = all_10_42 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1164) all_8_20 = e2 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (804), (809), (1164) are inconsistent by sub-proof % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #118. % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1165) all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_24 = e2 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1165) gives: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1166) all_8_21 = e2 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1137), (1166) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1167) e2 = e1 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (1167) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1168) $false % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1168) is inconsistent. % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1169) all_8_22 = e2 | all_8_23 = e2 | all_8_24 = e2 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1169) gives: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1170) all_8_22 = e2 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (1170) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1171) all_4_14 = e2 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1171) implies: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1172) all_4_14 = e2 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (1172) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1173) ~ (all_4_11 = e2) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (1172) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1174) ~ (e2 = e0) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_13, % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_42, e2, e1, simplifying with (115), (1163) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1175) all_10_42 = all_4_13 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_53, e3, e1, simplifying with (1093), (1150) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1176) all_10_53 = e4 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1177) (all_10_42 = e4 & ~ (all_10_43 = e1)) | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_45 = e3 & ~ (all_10_46 = e1)) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1177) gives: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1178) all_10_42 = e4 & ~ (all_10_43 = e1) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1178) implies: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1179) all_10_42 = e4 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1175), (1179) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1180) all_4_13 = e4 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1180) implies: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1181) all_4_13 = e4 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (530), (1181) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1182) $false % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1182) is inconsistent. % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1183) all_10_45 = e3 & ~ (all_10_46 = e1) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1183) implies: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1184) all_10_45 = e3 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1098), (1184) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1185) e3 = e2 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (1185) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1186) $false % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1186) is inconsistent. % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1187) (all_10_48 = e2 & ~ (all_10_49 = e1)) | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_53 = e0 & ~ (all_10_54 = e1)) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1187) gives: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1188) all_10_48 = e2 & ~ (all_10_49 = e1) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1188) implies: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1189) all_10_48 = e2 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (1189) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1190) op(e1, all_4_17) = e2 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1191) all_8_12 = e0 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (788), (1191) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1192) e2 = e0 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1192) implies: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1193) e2 = e0 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1170), (1193) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1194) all_8_22 = e0 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (226), (345), (410), (414), (793), (798), (809), % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1118), (1173), (1174), (1194) are inconsistent by % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #116. % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1195) all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e0 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1196) all_8_9 = e1 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1157), (1196) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1197) e2 = e1 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1197) implies: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1198) e2 = e1 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (1198) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1199) $false % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1199) is inconsistent. % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1200) all_8_10 = e1 | all_8_11 = e1 | all_8_15 = e1 | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e1 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (821) gives: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1201) all_6_14 = e2 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (1201) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1202) all_4_22 = e2 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1202) implies: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1203) all_4_22 = e2 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (1203) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1204) ~ (all_4_21 = e2) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (832) gives: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1205) all_6_9 = e2 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (1204), (1205) are inconsistent by % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #115. % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1206) all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1206) gives: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1207) all_6_9 = e3 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (1207) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1208) all_4_21 = e3 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1208) implies: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1209) all_4_21 = e3 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (1209) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1210) ~ (all_4_23 = e3) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1210) implies: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1211) ~ (all_4_23 = e3) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1022) gives: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212) all_6_19 = e2 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (795), (1212) are inconsistent by sub-proof % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #114. % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1213) all_6_19 = e3 | all_6_19 = e1 | all_6_19 = e0 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1213) gives: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1214) all_6_19 = e3 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (1211), (1214) are inconsistent by % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #113. % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1215) all_6_19 = e1 | all_6_19 = e0 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (114), (226), (325), (328), (345), (410), % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (414), (422), (457), (472), (523), (564), (583), % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (793), (809), (1023), (1063), (1070), (1083), % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1118), (1159), (1161), (1170), (1173), (1190), % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1200), (1215), (function-axioms) are inconsistent % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #108. % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1216) all_6_9 = e1 | all_6_9 = e0 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (515), (581), (1216) are inconsistent by % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #107. % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1217) all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1217) gives: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1218) all_6_14 = e3 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (525), (1218) are inconsistent by sub-proof % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #146. % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1219) all_6_14 = e1 | all_6_14 = e0 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1219) gives: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1220) all_6_14 = e1 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (1220) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1221) all_4_22 = e1 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1221) implies: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1222) all_4_22 = e1 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (340), (1222) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1223) all_10_64 = e1 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1022) gives: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1224) all_6_19 = e2 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (795), (1224) are inconsistent by sub-proof % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #114. % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1225) ~ (all_6_19 = e2) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1226) all_6_19 = e3 | all_6_19 = e1 | all_6_19 = e0 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1071) gives: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1227) ~ (all_10_64 = e1) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1223), (1227) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1228) $false % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1228) is inconsistent. % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1229) all_10_50 = e0 & ~ (unit = e1) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1229) implies: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1230) all_10_50 = e0 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (1230) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1231) all_4_17 = e0 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25), (1231) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1232) ~ (all_4_18 = e0) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1232) implies: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1233) ~ (all_4_18 = e0) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (534), (1231) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1234) ~ (e4 = e0) % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1190), (1231) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1235) op(e1, e0) = e2 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1226) gives: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1236) all_6_19 = e3 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (1236) imply: % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1237) all_4_23 = e3 % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1237) implies: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1238) all_4_23 = e3 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (1238) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1239) op(e1, e0) = e3 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1195) gives: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1240) all_8_13 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (811), (1089), (1240) are inconsistent by % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #106. % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1241) all_8_14 = e0 | all_8_15 = e0 | all_8_19 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1241) gives: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1242) all_8_14 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (1242) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) all_4_13 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1243) implies: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) all_4_13 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (559), (1244) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) op(e1, e0) = all_10_37 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_37, e0, e1, simplifying with (1239), (1245) % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) all_10_37 = e3 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_37, e0, e1, simplifying with (1235), (1245) % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1247) all_10_37 = e2 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1246), (1247) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1248) e3 = e2 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (1248) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1249) $false % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1249) is inconsistent. % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1250) all_8_15 = e0 | all_8_19 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (424), (434), (583), (1233), (1250) are % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #104. % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1251) all_6_19 = e1 | all_6_19 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (114), (226), (325), (328), (345), (410), % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (414), (422), (457), (472), (523), (564), (583), % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (793), (809), (1023), (1063), (1070), (1083), % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1118), (1159), (1161), (1170), (1173), (1190), % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1200), (1251), (function-axioms) are inconsistent % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #108. % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1252) all_6_14 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (582), (1252) are inconsistent by sub-proof % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #144. % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1253) all_10_53 = e0 & ~ (all_10_54 = e1) % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (811), (1176), (1253) are inconsistent by % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #103. % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1254) ~ (all_8_22 = e2) % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (415), (1254) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1255) ~ (all_4_14 = e2) % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1058) gives: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1256) all_6_22 = e2 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (1256) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257) all_4_14 = e2 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1255), (1257) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1258) $false % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1258) is inconsistent. % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1259) all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (580), (1142), (1149), (1259) are % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #101. % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1260) all_10_11 = e0 & ~ (all_10_12 = e4) % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1260) implies: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1261) ~ (all_10_12 = e4) % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (814), (1261) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1262) $false % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1262) is inconsistent. % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | (1263) all_10_50 = e3 & ~ (unit = e1) % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (343), (523), (1263) are inconsistent by sub-proof % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | #152. % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | (1264) all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1264) gives: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | (1265) all_8_14 = e4 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (414), (530), (1265) are inconsistent by sub-proof % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | #100. % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | (1266) all_8_15 = e4 | all_8_19 = e4 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1266) gives: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (1267) all_8_15 = e4 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (424), (1087), (1267) are inconsistent by % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #99. % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (1268) all_8_19 = e4 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (434), (1023), (1268) are inconsistent by % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #98. % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | (1269) ( ~ (all_10_1 = e0) | (all_10_58 = e4 & ~ (unit = % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_4 = e0) | (all_10_61 = % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_7 = e0) | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e4 & ~ (unit = e0))) & ( ~ % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e0) | (all_10_67 = e4 & ~ (unit = % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_13 = e0) | (all_10_69 = % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_16 = e0) | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit = % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_64 = % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_24 = e0) | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e3 & ~ (unit = e0))) & ( ~ % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e0) | (all_10_69 = e3 & ~ (unit = % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_30 = e0) | (all_10_58 = % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_33 = e0) | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit = % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_38 = e0) | (all_10_67 = % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_41 = e0) | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e2 & ~ (unit = e0))) & ( ~ % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e0) | (all_10_58 = e1 & ~ (unit = % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_47 = e0) | (all_10_61 = % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_50 = e0) | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit = % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_55 = e0) | (all_10_69 = % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_58 = e0) | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_61 = e0) | ~ % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | (unit = e0)) & ( ~ (all_10_64 = e0) | ~ (unit = % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | e0)) & ( ~ (all_10_67 = e0) | ~ (unit = e0)) % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_10_69 = e0) | ~ (unit = e0)) % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1269) implies: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | (1270) ~ (all_10_50 = e0) | (all_10_64 = e1 & ~ (unit = % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | e0)) % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | (1271) ~ (all_10_38 = e0) | (all_10_67 = e2 & ~ (unit = % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | e0)) % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | (1272) ~ (all_10_33 = e0) | (all_10_61 = e2 & ~ (unit = % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | e0)) % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | (1273) ~ (all_10_21 = e0) | (all_10_64 = e3 & ~ (unit = % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | e0)) % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1271) gives: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | (1274) ~ (all_10_38 = e0) % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (331), (1274) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | (1275) ~ (all_4_13 = e0) % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1273) gives: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | (1276) ~ (all_10_21 = e0) % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (1276) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | (1277) ~ (all_4_7 = e0) % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1042) gives: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | (1278) all_8_7 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (1278) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | (1279) all_4_7 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1279) implies: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | (1280) all_4_7 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1277), (1280) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | (1281) $false % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1281) is inconsistent. % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | (1282) all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1040) gives: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) all_8_5 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (1283) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) all_4_11 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1284) implies: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) all_4_11 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (363), (1285) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) all_10_33 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (1285) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) ~ (all_4_6 = e0) % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (1285) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) ~ (all_4_13 = e0) % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (1285) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) ~ (all_4_21 = e0) % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (528), (1285) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) ~ (e4 = e0) % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1282) gives: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) all_8_8 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (345), (811), (1291) are inconsistent by sub-proof % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | #147. % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) all_8_11 = e0 | all_8_18 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293) all_8_1 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (1293) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1294) all_4_5 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (497), (1294) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1295) $false % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1295) is inconsistent. % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1296) all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_21 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1296) gives: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297) all_8_3 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (1297) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298) all_4_6 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1298) implies: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1299) all_4_6 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1287), (1299) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1300) $false % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1300) is inconsistent. % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1301) all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0 % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1272) gives: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) ~ (all_10_33 = e0) % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1286), (1302) imply: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303) $false % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1303) is inconsistent. % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1304) all_10_61 = e2 & ~ (unit = e0) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1304) implies: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1305) all_10_61 = e2 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (1305) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1306) all_4_21 = e2 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1306) implies: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1307) all_4_21 = e2 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (1307) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1308) all_8_17 = e2 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (581), (1307) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309) ~ (e2 = e0) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1292) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1310) all_8_11 = e0 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (1310) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1311) all_4_17 = e0 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1311) implies: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1312) all_4_17 = e0 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (1312) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1313) all_10_50 = e0 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (25), (1312) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1314) ~ (all_4_18 = e0) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1314) implies: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1315) ~ (all_4_18 = e0) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (1312) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1316) ~ (all_4_22 = e0) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1317) all_8_12 = e0 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (788), (1309), (1317) are inconsistent by % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #97. % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1318) all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e0 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1318) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1319) all_8_13 = e0 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (1319) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320) all_4_8 = e0 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1320) implies: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1321) all_4_8 = e0 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (1321) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322) ~ (all_4_9 = e0) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1322) implies: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1323) ~ (all_4_9 = e0) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (1321) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1324) ~ (all_4_23 = e0) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1060) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1325) all_8_17 = e3 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1308), (1325) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1326) e3 = e2 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (1326) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1327) $false % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1327) is inconsistent. % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1328) all_8_18 = e3 | all_8_19 = e3 | all_8_24 = e3 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1328) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1329) all_8_18 = e3 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (525), (1329) are inconsistent by sub-proof % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #96. % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1330) all_8_19 = e3 | all_8_24 = e3 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1034) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1331) all_8_13 = e4 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1301) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1332) all_8_7 = e0 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (1332) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1333) all_4_7 = e0 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1277), (1333) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1334) $false % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1334) is inconsistent. % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1335) all_8_13 = e0 | all_8_21 = e0 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1335) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (811), (1319), (1331) are inconsistent by % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #106. % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1336) all_8_21 = e0 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (406), (1323), (1336) are inconsistent by % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #95. % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1337) all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1337) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1338) all_8_14 = e4 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (414), (530), (1338) are inconsistent by sub-proof % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #100. % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1339) all_8_15 = e4 | all_8_19 = e4 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1339) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1340) all_8_15 = e4 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (1340) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1341) all_4_18 = e4 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1341) implies: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1342) all_4_18 = e4 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (1342) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1343) ~ (all_4_16 = e4) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1330) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1344) all_8_19 = e3 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (434), (1344) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1345) all_4_23 = e3 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1345) implies: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1346) all_4_23 = e3 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (1346) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347) ~ (all_4_13 = e3) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1023), (1346) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348) ~ (e4 = e3) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349) all_8_12 = e1 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (788), (1349) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1350) e2 = e1 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1350) implies: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1351) e2 = e1 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (1351) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352) $false % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1352) is inconsistent. % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1353) all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e1 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1270) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354) ~ (all_10_50 = e0) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1313), (1354) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1355) $false % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1355) is inconsistent. % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1356) all_10_64 = e1 & ~ (unit = e0) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1356) implies: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1357) all_10_64 = e1 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (340), (1357) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1358) all_4_22 = e1 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (1358) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359) ~ (all_4_7 = e1) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (525), (1358) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1360) ~ (e3 = e1) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1360) implies: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361) ~ (e3 = e1) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1353) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1362) all_8_13 = e1 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1319), (1362) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1363) e1 = e0 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (1363) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1364) $false % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1364) is inconsistent. % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1365) all_8_14 = e1 | all_8_15 = e1 | all_8_19 = e1 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1030) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1366) all_8_3 = e4 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (1366) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1367) all_4_6 = e4 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1368) all_8_2 = e3 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (390), (1361), (1368) are inconsistent by % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #94. % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1369) all_8_3 = e3 | all_8_5 = e3 | all_8_10 = e3 | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e3 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1369) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370) all_8_3 = e3 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1366), (1370) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1371) e4 = e3 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (1371) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372) $false % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1372) is inconsistent. % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1373) all_8_5 = e3 | all_8_10 = e3 | all_8_17 = e3 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1047) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1374) all_6_17 = e2 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (1374) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1375) all_4_13 = e2 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (1375) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1376) $false % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1376) is inconsistent. % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1377) all_6_17 = e3 | all_6_17 = e1 | all_6_17 = e0 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1377) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1378) all_6_17 = e3 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (1378) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1379) all_4_13 = e3 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1347), (1379) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1380) $false % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1380) is inconsistent. % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1381) all_6_17 = e1 | all_6_17 = e0 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1365) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1382) all_8_14 = e1 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (1382) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1383) all_4_13 = e1 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1383) implies: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1384) all_4_13 = e1 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (1384) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1385) ~ (all_4_10 = e1) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1373) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1386) all_8_5 = e3 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1283), (1386) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1387) e3 = e0 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1387) implies: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1388) e3 = e0 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (1388) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1389) $false % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1389) is inconsistent. % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1390) all_8_10 = e3 | all_8_17 = e3 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1390) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1391) all_8_10 = e3 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (358), (1391) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1392) all_4_16 = e3 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1392) implies: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1393) all_4_16 = e3 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (1393) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1394) ~ (all_4_15 = e3) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1395) (all_10_2 = e3 & ~ (all_10_3 = e4)) | (all_10_5 = % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_10_6 = e4)) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1395) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396) all_10_2 = e3 & ~ (all_10_3 = e4) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1396) implies: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1397) all_10_2 = e3 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (575), (1397) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1398) all_4_15 = e3 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1394), (1398) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1399) $false % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1399) is inconsistent. % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1400) all_10_5 = e2 & ~ (all_10_6 = e4) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1400) implies: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1401) all_10_5 = e2 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (1401) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1402) all_4_5 = e2 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (1402) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1403) ~ (all_4_7 = e2) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1403) implies: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1404) ~ (all_4_7 = e2) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1055) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1405) all_6_11 = e2 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (1404), (1405) are inconsistent by % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #150. % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1406) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (521), (1277), (1359), (1406) are % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #126. % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1407) (all_10_8 = e1 & ~ (all_10_9 = e4)) | (all_10_11 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_10_12 = e4)) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1407) gives: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1408) all_10_8 = e1 & ~ (all_10_9 = e4) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1408) implies: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1409) all_10_8 = e1 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (816), (1409) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1410) all_4_10 = e1 % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1385), (1410) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1411) $false % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1411) is inconsistent. % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412) all_10_11 = e0 & ~ (all_10_12 = e4) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1412) implies: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413) ~ (all_10_12 = e4) % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (814), (1413) imply: % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1414) $false % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1414) is inconsistent. % 80.63/11.88 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1415) all_8_17 = e3 % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1308), (1415) imply: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1416) e3 = e2 % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (1416) imply: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1417) $false % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1417) is inconsistent. % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1418) ~ (all_8_14 = e1) % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (414), (1418) imply: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1419) ~ (all_4_13 = e1) % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1381) gives: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1420) all_6_17 = e1 % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (1419), (1420) are inconsistent by % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #93. % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1421) all_6_17 = e0 % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (1275), (1421) are inconsistent by % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #92. % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1422) all_8_5 = e4 | all_8_10 = e4 | all_8_17 = e4 % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (358), (410), (430), (528), (833), (1343), (1422) % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #176. % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1423) all_8_24 = e3 % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (577), (1423) imply: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1424) e3 = e0 % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1424) implies: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1425) e3 = e0 % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (1425) imply: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426) $false % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1426) is inconsistent. % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1427) all_8_19 = e4 % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (434), (1023), (1427) are inconsistent by % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #98. % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1428) all_8_14 = e0 | all_8_15 = e0 | all_8_19 = e0 % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1428) gives: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1429) all_8_14 = e0 % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (414), (1275), (1429) are inconsistent by % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #91. % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430) all_8_15 = e0 | all_8_19 = e0 % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (424), (434), (583), (1315), (1430) are % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #104. % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1431) all_8_18 = e0 % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (1431) imply: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1432) all_4_22 = e0 % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1432) implies: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1433) all_4_22 = e0 % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (582), (1433) imply: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1434) $false % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1434) is inconsistent. % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | (1435) all_8_8 = e0 | all_8_14 = e0 | all_8_22 = e0 % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (345), (414), (415), (580), (811), (1275), (1435) % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #89. % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | (1436) all_10_64 = e3 & ~ (unit = e0) % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1436) implies: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | (1437) all_10_64 = e3 % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (340), (1437) imply: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | (1438) all_4_22 = e3 % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (525), (1438) imply: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | (1439) $false % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1439) is inconsistent. % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | (1440) all_10_67 = e2 & ~ (unit = e0) % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1440) implies: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | (1441) all_10_67 = e2 % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (325), (1441) imply: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | (1442) all_4_23 = e2 % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (1442) imply: % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | (1443) $false % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1443) is inconsistent. % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | % 80.63/11.89 | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | % 80.63/11.89 | | | | | | | | Case 2: % 80.63/11.89 | | | | | | | | | % 80.63/11.89 | | | | | | | | | (1444) all_8_17 = e4 | all_8_18 = e4 | all_8_19 = e4 | % 80.63/11.89 | | | | | | | | | all_8_24 = e4 % 80.63/11.89 | | | | | | | | | % 80.63/11.89 | | | | | | | | | BETA: splitting (1444) gives: % 80.63/11.89 | | | | | | | | | % 80.63/11.89 | | | | | | | | | Case 1: % 80.63/11.89 | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | (1445) all_8_17 = e4 % 80.63/11.89 | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | REF_CLOSE: (430), (833), (1445) are inconsistent by sub-proof % 80.63/11.89 | | | | | | | | | | #177. % 80.63/11.89 | | | | | | | | | | % 80.63/11.89 | | | | | | | | | Case 2: % 80.63/11.89 | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | (1446) all_8_18 = e4 | all_8_19 = e4 | all_8_24 = e4 % 80.63/11.89 | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | BETA: splitting (1446) gives: % 80.63/11.89 | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | Case 1: % 80.63/11.89 | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | (1447) all_8_18 = e4 % 80.63/11.89 | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | REF_CLOSE: (431), (536), (1447) are inconsistent by sub-proof % 80.63/11.89 | | | | | | | | | | | #88. % 80.63/11.89 | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | Case 2: % 80.63/11.89 | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | (1448) all_8_19 = e4 | all_8_24 = e4 % 80.63/11.89 | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | BETA: splitting (1448) gives: % 80.63/11.89 | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | Case 1: % 80.63/11.89 | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | (1449) all_8_19 = e4 % 80.63/11.89 | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | REF_CLOSE: (434), (1023), (1449) are inconsistent by % 80.63/11.89 | | | | | | | | | | | | sub-proof #98. % 80.63/11.89 | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | Case 2: % 80.63/11.89 | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | (1450) all_8_24 = e4 % 80.63/11.89 | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | COMBINE_EQS: (577), (1450) imply: % 80.63/11.89 | | | | | | | | | | | | (1451) e4 = e0 % 80.63/11.89 | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | REDUCE: (811), (1451) imply: % 80.63/11.89 | | | | | | | | | | | | (1452) $false % 80.63/11.89 | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | | CLOSE: (1452) is inconsistent. % 80.63/11.89 | | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | | % 80.63/11.89 | | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | | % 80.63/11.89 | | | | | | | | | End of split % 80.63/11.89 | | | | | | | | | % 80.63/11.89 | | | | | | | | End of split % 80.63/11.89 | | | | | | | | % 80.63/11.89 | | | | | | | End of split % 80.63/11.89 | | | | | | | % 80.63/11.89 | | | | | | End of split % 80.63/11.89 | | | | | | % 80.63/11.89 | | | | | End of split % 80.63/11.89 | | | | | % 80.63/11.89 | | | | Case 2: % 80.63/11.89 | | | | | % 80.63/11.89 | | | | | (1453) all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20 = % 80.63/11.89 | | | | | e0 % 80.63/11.89 | | | | | % 80.63/11.89 | | | | | REF_CLOSE: (473), (495), (507), (519), (791), (1453) are inconsistent % 80.63/11.89 | | | | | by sub-proof #87. % 80.63/11.89 | | | | | % 80.63/11.89 | | | | End of split % 80.63/11.89 | | | | % 80.63/11.89 | | | Case 2: % 80.63/11.89 | | | | % 80.63/11.89 | | | | (1454) all_6_15 = e3 | all_6_15 = e1 | all_6_15 = e0 % 80.63/11.89 | | | | % 80.63/11.89 | | | | REF_CLOSE: (459), (493), (505), (517), (1454) are inconsistent by % 80.63/11.89 | | | | sub-proof #86. % 80.63/11.89 | | | | % 80.63/11.89 | | | End of split % 80.63/11.89 | | | % 80.63/11.89 | | End of split % 80.63/11.89 | | % 80.63/11.89 | Case 2: % 80.63/11.89 | | % 80.63/11.89 | | (1455) ~ (all_8_24 = e0) % 80.63/11.89 | | (1456) (all_8_16 = e0 | all_8_17 = e0 | all_8_18 = e0 | all_8_19 = e0) & % 80.63/11.89 | | (all_8_20 = e0 | all_8_21 = e0 | all_8_22 = e0 | all_8_23 = e0) % 80.63/11.89 | | % 80.63/11.89 | | ALPHA: (1456) implies: % 80.63/11.89 | | (1457) all_8_20 = e0 | all_8_21 = e0 | all_8_22 = e0 | all_8_23 = e0 % 80.63/11.89 | | % 80.63/11.89 | | REDUCE: (436), (1455) imply: % 80.63/11.89 | | (1458) ~ (all_4_24 = e0) % 80.63/11.89 | | % 80.63/11.89 | | BETA: splitting (167) gives: % 80.63/11.89 | | % 80.63/11.89 | | Case 1: % 80.63/11.89 | | | % 80.63/11.89 | | | (1459) all_6_15 = e4 % 80.63/11.89 | | | % 80.63/11.89 | | | COMBINE_EQS: (459), (1459) imply: % 80.63/11.89 | | | (1460) all_4_3 = e4 % 80.63/11.89 | | | % 80.63/11.89 | | | SIMP: (1460) implies: % 80.63/11.89 | | | (1461) all_4_3 = e4 % 80.63/11.89 | | | % 80.63/11.89 | | | COMBINE_EQS: (394), (1461) imply: % 80.63/11.89 | | | (1462) all_8_12 = e4 % 80.63/11.89 | | | % 80.63/11.89 | | | REDUCE: (88), (1461) imply: % 80.63/11.89 | | | (1463) ~ (all_4_4 = e4) % 80.63/11.89 | | | % 80.63/11.89 | | | SIMP: (1463) implies: % 80.63/11.89 | | | (1464) ~ (all_4_4 = e4) % 80.63/11.89 | | | % 80.63/11.89 | | | REDUCE: (87), (1461) imply: % 80.63/11.89 | | | (1465) ~ (all_4_8 = e4) % 80.63/11.89 | | | % 80.63/11.89 | | | SIMP: (1465) implies: % 80.63/11.89 | | | (1466) ~ (all_4_8 = e4) % 80.63/11.89 | | | % 80.63/11.89 | | | REDUCE: (85), (1461) imply: % 80.63/11.89 | | | (1467) ~ (all_4_18 = e4) % 80.63/11.89 | | | % 80.63/11.89 | | | SIMP: (1467) implies: % 80.63/11.89 | | | (1468) ~ (all_4_18 = e4) % 80.63/11.89 | | | % 80.63/11.89 | | | REDUCE: (84), (1461) imply: % 80.63/11.89 | | | (1469) ~ (all_4_23 = e4) % 80.63/11.89 | | | % 80.63/11.89 | | | SIMP: (1469) implies: % 80.63/11.89 | | | (1470) ~ (all_4_23 = e4) % 80.63/11.89 | | | % 80.63/11.89 | | | REDUCE: (517), (1461) imply: % 80.63/11.89 | | | (1471) ~ (e4 = e3) % 80.63/11.89 | | | % 80.63/11.89 | | | REDUCE: (505), (1461) imply: % 80.63/11.89 | | | (1472) ~ (e4 = e1) % 80.63/11.89 | | | % 80.63/11.89 | | | REDUCE: (539), (1461) imply: % 80.63/11.89 | | | (1473) op(e4, e4) = all_10_8 % 80.63/11.89 | | | % 80.63/11.89 | | | REDUCE: (557), (1461) imply: % 80.63/11.89 | | | (1474) op(e1, e4) = all_10_9 % 80.63/11.89 | | | % 80.63/11.89 | | | REDUCE: (117), (1461) imply: % 80.63/11.89 | | | (1475) op(e1, e4) = e4 % 80.63/11.89 | | | % 80.63/11.89 | | | BETA: splitting (162) gives: % 80.63/11.89 | | | % 80.63/11.89 | | | Case 1: % 80.63/11.89 | | | | % 80.63/11.89 | | | | (1476) all_6_20 = e4 % 80.63/11.89 | | | | % 80.63/11.89 | | | | COMBINE_EQS: (473), (1476) imply: % 80.63/11.89 | | | | (1477) all_4_4 = e4 % 80.63/11.89 | | | | % 80.63/11.89 | | | | SIMP: (1477) implies: % 80.63/11.89 | | | | (1478) all_4_4 = e4 % 80.63/11.89 | | | | % 80.63/11.89 | | | | REDUCE: (1464), (1478) imply: % 80.63/11.89 | | | | (1479) $false % 80.63/11.89 | | | | % 80.63/11.89 | | | | CLOSE: (1479) is inconsistent. % 80.63/11.89 | | | | % 80.63/11.89 | | | Case 2: % 80.63/11.89 | | | | % 80.63/11.89 | | | | (1480) ~ (all_6_20 = e4) % 80.63/11.89 | | | | (1481) all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20 = e0 % 80.63/11.89 | | | | % 80.63/11.89 | | | | BETA: splitting (1481) gives: % 80.63/11.89 | | | | % 80.63/11.89 | | | | Case 1: % 80.63/11.89 | | | | | % 80.63/11.89 | | | | | (1482) all_6_20 = e2 % 80.63/11.89 | | | | | % 80.63/11.89 | | | | | COMBINE_EQS: (473), (1482) imply: % 80.63/11.89 | | | | | (1483) all_4_4 = e2 % 80.63/11.89 | | | | | % 80.63/11.89 | | | | | SIMP: (1483) implies: % 80.63/11.89 | | | | | (1484) all_4_4 = e2 % 80.63/11.89 | | | | | % 80.63/11.89 | | | | | COMBINE_EQS: (396), (1484) imply: % 80.63/11.89 | | | | | (1485) all_8_20 = e2 % 80.63/11.89 | | | | | % 80.63/11.89 | | | | | COMBINE_EQS: (322), (1484) imply: % 80.63/11.89 | | | | | (1486) all_10_13 = e2 % 80.63/11.89 | | | | | % 80.63/11.89 | | | | | REDUCE: (82), (1484) imply: % 80.63/11.89 | | | | | (1487) ~ (all_4_14 = e2) % 80.63/11.89 | | | | | % 80.63/11.89 | | | | | SIMP: (1487) implies: % 80.63/11.89 | | | | | (1488) ~ (all_4_14 = e2) % 80.63/11.89 | | | | | % 80.63/11.89 | | | | | REDUCE: (81), (1484) imply: % 80.63/11.89 | | | | | (1489) ~ (all_4_19 = e2) % 80.63/11.89 | | | | | % 80.63/11.89 | | | | | SIMP: (1489) implies: % 80.63/11.89 | | | | | (1490) ~ (all_4_19 = e2) % 80.63/11.89 | | | | | % 80.63/11.89 | | | | | REDUCE: (80), (1484) imply: % 80.63/11.89 | | | | | (1491) ~ (all_4_24 = e2) % 80.63/11.89 | | | | | % 80.63/11.89 | | | | | SIMP: (1491) implies: % 80.63/11.89 | | | | | (1492) ~ (all_4_24 = e2) % 80.63/11.89 | | | | | % 80.63/11.89 | | | | | REDUCE: (1464), (1484) imply: % 80.63/11.89 | | | | | (1493) ~ (e4 = e2) % 80.63/11.89 | | | | | % 80.63/11.89 | | | | | SIMP: (1493) implies: % 80.63/11.89 | | | | | (1494) ~ (e4 = e2) % 80.63/11.89 | | | | | % 80.63/11.89 | | | | | REDUCE: (519), (1484) imply: % 80.63/11.89 | | | | | (1495) ~ (e3 = e2) % 80.63/11.89 | | | | | % 80.63/11.89 | | | | | SIMP: (1495) implies: % 80.63/11.89 | | | | | (1496) ~ (e3 = e2) % 80.63/11.89 | | | | | % 80.63/11.89 | | | | | REDUCE: (540), (1484) imply: % 80.63/11.89 | | | | | (1497) op(e4, e2) = all_10_11 % 80.63/11.89 | | | | | % 80.63/11.89 | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_9, e4, % 80.63/11.89 | | | | | e1, simplifying with (1474), (1475) gives: % 80.63/11.89 | | | | | (1498) all_10_9 = e4 % 80.63/11.89 | | | | | % 80.63/11.89 | | | | | GROUND_INST: instantiating (function-axioms) with all_4_10, all_10_11, % 80.63/11.89 | | | | | e2, e4, simplifying with (130), (1497) gives: % 80.63/11.89 | | | | | (1499) all_10_11 = all_4_10 % 80.63/11.89 | | | | | % 80.63/11.89 | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_8, e4, % 80.63/11.89 | | | | | e4, simplifying with (7), (1473) gives: % 80.63/11.89 | | | | | (1500) all_10_8 = e0 % 80.63/11.89 | | | | | % 80.63/11.89 | | | | | BETA: splitting (307) gives: % 80.63/11.89 | | | | | % 80.63/11.89 | | | | | Case 1: % 80.63/11.89 | | | | | | % 80.63/11.90 | | | | | | (1501) (all_10_2 = e3 & ~ (all_10_3 = e4)) | (all_10_5 = e2 & ~ % 80.63/11.90 | | | | | | (all_10_6 = e4)) % 80.63/11.90 | | | | | | % 80.63/11.90 | | | | | | BETA: splitting (1501) gives: % 80.63/11.90 | | | | | | % 80.63/11.90 | | | | | | Case 1: % 80.63/11.90 | | | | | | | % 80.63/11.90 | | | | | | | (1502) all_10_2 = e3 & ~ (all_10_3 = e4) % 80.63/11.90 | | | | | | | % 80.63/11.90 | | | | | | | ALPHA: (1502) implies: % 80.63/11.90 | | | | | | | (1503) all_10_2 = e3 % 80.63/11.90 | | | | | | | (1504) ~ (all_10_3 = e4) % 80.63/11.90 | | | | | | | % 80.63/11.90 | | | | | | | COMBINE_EQS: (575), (1503) imply: % 80.63/11.90 | | | | | | | (1505) all_4_15 = e3 % 80.63/11.90 | | | | | | | % 80.63/11.90 | | | | | | | COMBINE_EQS: (418), (1505) imply: % 80.63/11.90 | | | | | | | (1506) all_8_9 = e3 % 80.63/11.90 | | | | | | | % 80.63/11.90 | | | | | | | REDUCE: (574), (1504) imply: % 80.63/11.90 | | | | | | | (1507) ~ (all_4_16 = e4) % 80.63/11.90 | | | | | | | % 80.63/11.90 | | | | | | | REDUCE: (74), (1505) imply: % 80.63/11.90 | | | | | | | (1508) ~ (all_4_5 = e3) % 80.63/11.90 | | | | | | | % 80.63/11.90 | | | | | | | REDUCE: (34), (1505) imply: % 80.63/11.90 | | | | | | | (1509) ~ (all_4_16 = e3) % 80.63/11.90 | | | | | | | % 80.63/11.90 | | | | | | | SIMP: (1509) implies: % 80.63/11.90 | | | | | | | (1510) ~ (all_4_16 = e3) % 80.63/11.90 | | | | | | | % 80.63/11.90 | | | | | | | REDUCE: (560), (1505) imply: % 80.63/11.90 | | | | | | | (1511) op(e1, e3) = all_10_42 % 80.63/11.90 | | | | | | | % 80.63/11.90 | | | | | | | BETA: splitting (302) gives: % 80.63/11.90 | | | | | | | % 80.63/11.90 | | | | | | | Case 1: % 80.63/11.90 | | | | | | | | % 80.63/11.90 | | | | | | | | (1512) (( ~ (all_10_1 = e4) | ~ (unit = e4)) & ( ~ (all_10_4 % 80.63/11.90 | | | | | | | | = e4) | ~ (unit = e4)) & ( ~ (all_10_7 = e4) | % 80.63/11.90 | | | | | | | | ~ (unit = e4)) & ( ~ (all_10_10 = e4) | ~ (unit = % 80.63/11.90 | | | | | | | | e4)) & ( ~ (all_10_13 = e4) | ~ (unit = e4)) & % 80.63/11.90 | | | | | | | | ( ~ (all_10_16 = e4) | (all_10_1 = e3 & ~ (unit = % 80.63/11.90 | | | | | | | | e4))) & ( ~ (all_10_18 = e4) | (all_10_4 = e3 % 80.63/11.90 | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_21 = e4) | % 80.63/11.90 | | | | | | | | (all_10_7 = e3 & ~ (unit = e4))) & ( ~ (all_10_24 % 80.63/11.90 | | | | | | | | = e4) | (all_10_10 = e3 & ~ (unit = e4))) & ( ~ % 80.63/11.90 | | | | | | | | (all_10_27 = e4) | (all_10_13 = e3 & ~ (unit = % 80.63/11.90 | | | | | | | | e4))) & ( ~ (all_10_30 = e4) | (all_10_1 = e2 % 80.63/11.90 | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_33 = e4) | % 80.63/11.90 | | | | | | | | (all_10_4 = e2 & ~ (unit = e4))) & ( ~ (all_10_35 % 80.63/11.90 | | | | | | | | = e4) | (all_10_7 = e2 & ~ (unit = e4))) & ( ~ % 80.63/11.90 | | | | | | | | (all_10_38 = e4) | (all_10_10 = e2 & ~ (unit = % 80.63/11.90 | | | | | | | | e4))) & ( ~ (all_10_41 = e4) | (all_10_13 = e2 % 80.63/11.90 | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_44 = e4) | % 80.63/11.90 | | | | | | | | (all_10_1 = e1 & ~ (unit = e4))) & ( ~ (all_10_47 % 80.63/11.90 | | | | | | | | = e4) | (all_10_4 = e1 & ~ (unit = e4))) & ( ~ % 80.63/11.90 | | | | | | | | (all_10_50 = e4) | (all_10_7 = e1 & ~ (unit = % 80.63/11.90 | | | | | | | | e4))) & ( ~ (all_10_52 = e4) | (all_10_10 = e1 % 80.63/11.90 | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_55 = e4) | % 80.63/11.90 | | | | | | | | (all_10_13 = e1 & ~ (unit = e4))) & ( ~ % 80.63/11.90 | | | | | | | | (all_10_58 = e4) | (all_10_1 = e0 & ~ (unit = % 80.63/11.90 | | | | | | | | e4))) & ( ~ (all_10_61 = e4) | (all_10_4 = e0 % 80.63/11.90 | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_64 = e4) | % 80.63/11.90 | | | | | | | | (all_10_7 = e0 & ~ (unit = e4))) & ( ~ (all_10_67 % 80.63/11.90 | | | | | | | | = e4) | (all_10_10 = e0 & ~ (unit = e4))) & ( ~ % 80.63/11.90 | | | | | | | | (all_10_69 = e4) | (all_10_13 = e0 & ~ (unit = % 80.63/11.90 | | | | | | | | e4)))) | (( ~ (all_10_1 = e3) | (all_10_16 = % 80.63/11.90 | | | | | | | | e4 & ~ (unit = e3))) & ( ~ (all_10_4 = e3) | % 80.63/11.90 | | | | | | | | (all_10_18 = e4 & ~ (unit = e3))) & ( ~ (all_10_7 % 80.63/11.90 | | | | | | | | = e3) | (all_10_21 = e4 & ~ (unit = e3))) & ( ~ % 80.63/11.90 | | | | | | | | (all_10_10 = e3) | (all_10_24 = e4 & ~ (unit = % 80.63/11.90 | | | | | | | | e3))) & ( ~ (all_10_13 = e3) | (all_10_27 = e4 % 80.63/11.90 | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_16 = e3) | ~ % 80.63/11.90 | | | | | | | | (unit = e3)) & ( ~ (all_10_18 = e3) | ~ (unit = % 80.63/11.90 | | | | | | | | e3)) & ( ~ (all_10_21 = e3) | ~ (unit = e3)) & % 80.63/11.90 | | | | | | | | ( ~ (all_10_24 = e3) | ~ (unit = e3)) & ( ~ % 80.63/11.90 | | | | | | | | (all_10_27 = e3) | ~ (unit = e3)) & ( ~ % 80.63/11.90 | | | | | | | | (all_10_30 = e3) | (all_10_16 = e2 & ~ (unit = % 80.63/11.90 | | | | | | | | e3))) & ( ~ (all_10_33 = e3) | (all_10_18 = e2 % 80.63/11.90 | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_35 = e3) | % 80.63/11.90 | | | | | | | | (all_10_21 = e2 & ~ (unit = e3))) & ( ~ % 80.63/11.90 | | | | | | | | (all_10_38 = e3) | (all_10_24 = e2 & ~ (unit = % 80.63/11.90 | | | | | | | | e3))) & ( ~ (all_10_41 = e3) | (all_10_27 = e2 % 80.63/11.90 | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_44 = e3) | % 80.63/11.90 | | | | | | | | (all_10_16 = e1 & ~ (unit = e3))) & ( ~ % 80.63/11.90 | | | | | | | | (all_10_47 = e3) | (all_10_18 = e1 & ~ (unit = % 80.63/11.90 | | | | | | | | e3))) & ( ~ (all_10_50 = e3) | (all_10_21 = e1 % 80.63/11.90 | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_52 = e3) | % 80.63/11.90 | | | | | | | | (all_10_24 = e1 & ~ (unit = e3))) & ( ~ % 80.63/11.90 | | | | | | | | (all_10_55 = e3) | (all_10_27 = e1 & ~ (unit = % 80.63/11.90 | | | | | | | | e3))) & ( ~ (all_10_58 = e3) | (all_10_16 = e0 % 80.63/11.90 | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_61 = e3) | % 80.63/11.90 | | | | | | | | (all_10_18 = e0 & ~ (unit = e3))) & ( ~ % 80.63/11.90 | | | | | | | | (all_10_64 = e3) | (all_10_21 = e0 & ~ (unit = % 80.63/11.90 | | | | | | | | e3))) & ( ~ (all_10_67 = e3) | (all_10_24 = e0 % 80.63/11.90 | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_69 = e3) | % 80.63/11.90 | | | | | | | | (all_10_27 = e0 & ~ (unit = e3)))) % 80.63/11.90 | | | | | | | | % 80.63/11.90 | | | | | | | | BETA: splitting (1512) gives: % 80.63/11.90 | | | | | | | | % 80.63/11.90 | | | | | | | | Case 1: % 80.63/11.90 | | | | | | | | | % 80.63/11.90 | | | | | | | | | (1513) ( ~ (all_10_1 = e4) | ~ (unit = e4)) & ( ~ % 80.63/11.90 | | | | | | | | | (all_10_4 = e4) | ~ (unit = e4)) & ( ~ (all_10_7 % 80.63/11.90 | | | | | | | | | = e4) | ~ (unit = e4)) & ( ~ (all_10_10 = e4) | % 80.63/11.90 | | | | | | | | | ~ (unit = e4)) & ( ~ (all_10_13 = e4) | ~ (unit % 80.63/11.90 | | | | | | | | | = e4)) & ( ~ (all_10_16 = e4) | (all_10_1 = e3 & % 80.63/11.90 | | | | | | | | | ~ (unit = e4))) & ( ~ (all_10_18 = e4) | % 80.63/11.90 | | | | | | | | | (all_10_4 = e3 & ~ (unit = e4))) & ( ~ (all_10_21 % 80.63/11.90 | | | | | | | | | = e4) | (all_10_7 = e3 & ~ (unit = e4))) & ( ~ % 80.63/11.90 | | | | | | | | | (all_10_24 = e4) | (all_10_10 = e3 & ~ (unit = % 80.63/11.90 | | | | | | | | | e4))) & ( ~ (all_10_27 = e4) | (all_10_13 = e3 % 80.63/11.90 | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_30 = e4) | % 80.63/11.90 | | | | | | | | | (all_10_1 = e2 & ~ (unit = e4))) & ( ~ (all_10_33 % 80.63/11.90 | | | | | | | | | = e4) | (all_10_4 = e2 & ~ (unit = e4))) & ( ~ % 80.63/11.90 | | | | | | | | | (all_10_35 = e4) | (all_10_7 = e2 & ~ (unit = % 80.63/11.90 | | | | | | | | | e4))) & ( ~ (all_10_38 = e4) | (all_10_10 = e2 % 80.63/11.90 | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_41 = e4) | % 80.63/11.90 | | | | | | | | | (all_10_13 = e2 & ~ (unit = e4))) & ( ~ % 80.63/11.90 | | | | | | | | | (all_10_44 = e4) | (all_10_1 = e1 & ~ (unit = % 80.63/11.90 | | | | | | | | | e4))) & ( ~ (all_10_47 = e4) | (all_10_4 = e1 % 80.63/11.90 | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_50 = e4) | % 80.63/11.90 | | | | | | | | | (all_10_7 = e1 & ~ (unit = e4))) & ( ~ (all_10_52 % 80.63/11.90 | | | | | | | | | = e4) | (all_10_10 = e1 & ~ (unit = e4))) & ( ~ % 80.63/11.90 | | | | | | | | | (all_10_55 = e4) | (all_10_13 = e1 & ~ (unit = % 80.63/11.90 | | | | | | | | | e4))) & ( ~ (all_10_58 = e4) | (all_10_1 = e0 % 80.63/11.90 | | | | | | | | | & ~ (unit = e4))) & ( ~ (all_10_61 = e4) | % 80.63/11.90 | | | | | | | | | (all_10_4 = e0 & ~ (unit = e4))) & ( ~ (all_10_64 % 80.63/11.90 | | | | | | | | | = e4) | (all_10_7 = e0 & ~ (unit = e4))) & ( ~ % 80.63/11.90 | | | | | | | | | (all_10_67 = e4) | (all_10_10 = e0 & ~ (unit = % 80.63/11.90 | | | | | | | | | e4))) & ( ~ (all_10_69 = e4) | (all_10_13 = e0 % 80.63/11.90 | | | | | | | | | & ~ (unit = e4))) % 80.63/11.90 | | | | | | | | | % 80.63/11.90 | | | | | | | | | REF_CLOSE: (354), (487), (1496), (1513) are inconsistent by % 80.63/11.90 | | | | | | | | | sub-proof #186. % 80.63/11.90 | | | | | | | | | % 80.63/11.90 | | | | | | | | Case 2: % 80.63/11.90 | | | | | | | | | % 80.63/11.90 | | | | | | | | | (1514) ( ~ (all_10_1 = e3) | (all_10_16 = e4 & ~ (unit = % 80.63/11.90 | | | | | | | | | e3))) & ( ~ (all_10_4 = e3) | (all_10_18 = e4 % 80.63/11.90 | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_7 = e3) | % 80.63/11.90 | | | | | | | | | (all_10_21 = e4 & ~ (unit = e3))) & ( ~ % 80.63/11.90 | | | | | | | | | (all_10_10 = e3) | (all_10_24 = e4 & ~ (unit = % 80.63/11.90 | | | | | | | | | e3))) & ( ~ (all_10_13 = e3) | (all_10_27 = e4 % 80.63/11.90 | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_16 = e3) | ~ % 80.63/11.90 | | | | | | | | | (unit = e3)) & ( ~ (all_10_18 = e3) | ~ (unit = % 80.63/11.90 | | | | | | | | | e3)) & ( ~ (all_10_21 = e3) | ~ (unit = e3)) & % 80.63/11.90 | | | | | | | | | ( ~ (all_10_24 = e3) | ~ (unit = e3)) & ( ~ % 80.63/11.90 | | | | | | | | | (all_10_27 = e3) | ~ (unit = e3)) & ( ~ % 80.63/11.90 | | | | | | | | | (all_10_30 = e3) | (all_10_16 = e2 & ~ (unit = % 80.63/11.90 | | | | | | | | | e3))) & ( ~ (all_10_33 = e3) | (all_10_18 = e2 % 80.63/11.90 | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_35 = e3) | % 80.63/11.90 | | | | | | | | | (all_10_21 = e2 & ~ (unit = e3))) & ( ~ % 80.63/11.90 | | | | | | | | | (all_10_38 = e3) | (all_10_24 = e2 & ~ (unit = % 80.63/11.90 | | | | | | | | | e3))) & ( ~ (all_10_41 = e3) | (all_10_27 = e2 % 80.63/11.90 | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_44 = e3) | % 80.63/11.90 | | | | | | | | | (all_10_16 = e1 & ~ (unit = e3))) & ( ~ % 80.63/11.90 | | | | | | | | | (all_10_47 = e3) | (all_10_18 = e1 & ~ (unit = % 80.63/11.90 | | | | | | | | | e3))) & ( ~ (all_10_50 = e3) | (all_10_21 = e1 % 80.63/11.90 | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_52 = e3) | % 80.63/11.90 | | | | | | | | | (all_10_24 = e1 & ~ (unit = e3))) & ( ~ % 80.63/11.90 | | | | | | | | | (all_10_55 = e3) | (all_10_27 = e1 & ~ (unit = % 80.63/11.90 | | | | | | | | | e3))) & ( ~ (all_10_58 = e3) | (all_10_16 = e0 % 80.63/11.90 | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_61 = e3) | % 80.63/11.90 | | | | | | | | | (all_10_18 = e0 & ~ (unit = e3))) & ( ~ % 80.63/11.90 | | | | | | | | | (all_10_64 = e3) | (all_10_21 = e0 & ~ (unit = % 80.63/11.90 | | | | | | | | | e3))) & ( ~ (all_10_67 = e3) | (all_10_24 = e0 % 80.63/11.90 | | | | | | | | | & ~ (unit = e3))) & ( ~ (all_10_69 = e3) | % 80.63/11.90 | | | | | | | | | (all_10_27 = e0 & ~ (unit = e3))) % 80.63/11.90 | | | | | | | | | % 80.63/11.90 | | | | | | | | | ALPHA: (1514) implies: % 80.63/11.90 | | | | | | | | | (1515) ~ (all_10_7 = e3) | (all_10_21 = e4 & ~ (unit = % 80.63/11.90 | | | | | | | | | e3)) % 80.63/11.90 | | | | | | | | | % 80.63/11.90 | | | | | | | | | REF_CLOSE: (350), (354), (526), (1515) are inconsistent by % 80.63/11.90 | | | | | | | | | sub-proof #185. % 80.63/11.90 | | | | | | | | | % 80.63/11.90 | | | | | | | | End of split % 80.63/11.90 | | | | | | | | % 80.63/11.90 | | | | | | | Case 2: % 80.63/11.90 | | | | | | | | % 81.05/11.91 | | | | | | | | (1516) (( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit = % 81.05/11.91 | | | | | | | | e2))) & ( ~ (all_10_4 = e2) | (all_10_33 = e4 % 81.05/11.91 | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_7 = e2) | % 81.05/11.91 | | | | | | | | (all_10_35 = e4 & ~ (unit = e2))) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit = % 81.05/11.91 | | | | | | | | e2))) & ( ~ (all_10_13 = e2) | (all_10_41 = e4 % 81.05/11.91 | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_16 = e2) | % 81.05/11.91 | | | | | | | | (all_10_30 = e3 & ~ (unit = e2))) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_18 = e2) | (all_10_33 = e3 & ~ (unit = % 81.05/11.91 | | | | | | | | e2))) & ( ~ (all_10_21 = e2) | (all_10_35 = e3 % 81.05/11.91 | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_24 = e2) | % 81.05/11.91 | | | | | | | | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit = % 81.05/11.91 | | | | | | | | e2))) & ( ~ (all_10_30 = e2) | ~ (unit = e2)) % 81.05/11.91 | | | | | | | | & ( ~ (all_10_33 = e2) | ~ (unit = e2)) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_35 = e2) | ~ (unit = e2)) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_38 = e2) | ~ (unit = e2)) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_41 = e2) | ~ (unit = e2)) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_44 = e2) | (all_10_30 = e1 & ~ (unit = % 81.05/11.91 | | | | | | | | e2))) & ( ~ (all_10_47 = e2) | (all_10_33 = e1 % 81.05/11.91 | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_50 = e2) | % 81.05/11.91 | | | | | | | | (all_10_35 = e1 & ~ (unit = e2))) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_52 = e2) | (all_10_38 = e1 & ~ (unit = % 81.05/11.91 | | | | | | | | e2))) & ( ~ (all_10_55 = e2) | (all_10_41 = e1 % 81.05/11.91 | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_58 = e2) | % 81.05/11.91 | | | | | | | | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit = % 81.05/11.91 | | | | | | | | e2))) & ( ~ (all_10_64 = e2) | (all_10_35 = e0 % 81.05/11.91 | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_67 = e2) | % 81.05/11.91 | | | | | | | | (all_10_38 = e0 & ~ (unit = e2))) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit = % 81.05/11.91 | | | | | | | | e2)))) | (( ~ (all_10_1 = e1) | (all_10_44 = % 81.05/11.91 | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_4 = e1) | % 81.05/11.91 | | | | | | | | (all_10_47 = e4 & ~ (unit = e1))) & ( ~ (all_10_7 % 81.05/11.91 | | | | | | | | = e1) | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit = % 81.05/11.91 | | | | | | | | e1))) & ( ~ (all_10_13 = e1) | (all_10_55 = e4 % 81.05/11.91 | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_16 = e1) | % 81.05/11.91 | | | | | | | | (all_10_44 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_18 = e1) | (all_10_47 = e3 & ~ (unit = % 81.05/11.91 | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_50 = e3 % 81.05/11.91 | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_24 = e1) | % 81.05/11.91 | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = % 81.05/11.91 | | | | | | | | e1))) & ( ~ (all_10_30 = e1) | (all_10_44 = e2 % 81.05/11.91 | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_33 = e1) | % 81.05/11.91 | | | | | | | | (all_10_47 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_35 = e1) | (all_10_50 = e2 & ~ (unit = % 81.05/11.91 | | | | | | | | e1))) & ( ~ (all_10_38 = e1) | (all_10_52 = e2 % 81.05/11.91 | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_41 = e1) | % 81.05/11.91 | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit = % 81.05/11.91 | | | | | | | | e1))) & ( ~ (all_10_61 = e1) | (all_10_47 = e0 % 81.05/11.91 | | | | | | | | & ~ (unit = e1))) & ( ~ (all_10_64 = e1) | % 81.05/11.91 | | | | | | | | (all_10_50 = e0 & ~ (unit = e1))) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_67 = e1) | (all_10_52 = e0 & ~ (unit = % 81.05/11.91 | | | | | | | | e1))) & ( ~ (all_10_69 = e1) | (all_10_55 = e0 % 81.05/11.91 | | | | | | | | & ~ (unit = e1)))) | (( ~ (all_10_1 = e0) | % 81.05/11.91 | | | | | | | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ (all_10_4 % 81.05/11.91 | | | | | | | | = e0) | (all_10_61 = e4 & ~ (unit = e0))) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_7 = e0) | (all_10_64 = e4 & ~ (unit = % 81.05/11.91 | | | | | | | | e0))) & ( ~ (all_10_10 = e0) | (all_10_67 = e4 % 81.05/11.91 | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_13 = e0) | % 81.05/11.91 | | | | | | | | (all_10_69 = e4 & ~ (unit = e0))) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_16 = e0) | (all_10_58 = e3 & ~ (unit = % 81.05/11.91 | | | | | | | | e0))) & ( ~ (all_10_18 = e0) | (all_10_61 = e3 % 81.05/11.91 | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_21 = e0) | % 81.05/11.91 | | | | | | | | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit = % 81.05/11.91 | | | | | | | | e0))) & ( ~ (all_10_27 = e0) | (all_10_69 = e3 % 81.05/11.91 | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_30 = e0) | % 81.05/11.91 | | | | | | | | (all_10_58 = e2 & ~ (unit = e0))) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_33 = e0) | (all_10_61 = e2 & ~ (unit = % 81.05/11.91 | | | | | | | | e0))) & ( ~ (all_10_35 = e0) | (all_10_64 = e2 % 81.05/11.91 | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_38 = e0) | % 81.05/11.91 | | | | | | | | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit = % 81.05/11.91 | | | | | | | | e0))) & ( ~ (all_10_44 = e0) | (all_10_58 = e1 % 81.05/11.91 | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_47 = e0) | % 81.05/11.91 | | | | | | | | (all_10_61 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_50 = e0) | (all_10_64 = e1 & ~ (unit = % 81.05/11.91 | | | | | | | | e0))) & ( ~ (all_10_52 = e0) | (all_10_67 = e1 % 81.05/11.91 | | | | | | | | & ~ (unit = e0))) & ( ~ (all_10_55 = e0) | % 81.05/11.91 | | | | | | | | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_58 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_61 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.91 | | | | | | | | (all_10_69 = e0) | ~ (unit = e0))) % 81.05/11.91 | | | | | | | | % 81.05/11.91 | | | | | | | | BETA: splitting (1516) gives: % 81.05/11.91 | | | | | | | | % 81.05/11.91 | | | | | | | | Case 1: % 81.05/11.91 | | | | | | | | | % 81.05/11.91 | | | | | | | | | (1517) ( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit = % 81.05/11.91 | | | | | | | | | e2))) & ( ~ (all_10_4 = e2) | (all_10_33 = e4 % 81.05/11.91 | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_7 = e2) | % 81.05/11.91 | | | | | | | | | (all_10_35 = e4 & ~ (unit = e2))) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit = % 81.05/11.91 | | | | | | | | | e2))) & ( ~ (all_10_13 = e2) | (all_10_41 = e4 % 81.05/11.91 | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_16 = e2) | % 81.05/11.91 | | | | | | | | | (all_10_30 = e3 & ~ (unit = e2))) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_18 = e2) | (all_10_33 = e3 & ~ (unit = % 81.05/11.91 | | | | | | | | | e2))) & ( ~ (all_10_21 = e2) | (all_10_35 = e3 % 81.05/11.91 | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_24 = e2) | % 81.05/11.91 | | | | | | | | | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit = % 81.05/11.91 | | | | | | | | | e2))) & ( ~ (all_10_30 = e2) | ~ (unit = e2)) % 81.05/11.91 | | | | | | | | | & ( ~ (all_10_33 = e2) | ~ (unit = e2)) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_35 = e2) | ~ (unit = e2)) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_38 = e2) | ~ (unit = e2)) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_41 = e2) | ~ (unit = e2)) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_44 = e2) | (all_10_30 = e1 & ~ (unit = % 81.05/11.91 | | | | | | | | | e2))) & ( ~ (all_10_47 = e2) | (all_10_33 = e1 % 81.05/11.91 | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_50 = e2) | % 81.05/11.91 | | | | | | | | | (all_10_35 = e1 & ~ (unit = e2))) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_52 = e2) | (all_10_38 = e1 & ~ (unit = % 81.05/11.91 | | | | | | | | | e2))) & ( ~ (all_10_55 = e2) | (all_10_41 = e1 % 81.05/11.91 | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_58 = e2) | % 81.05/11.91 | | | | | | | | | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit = % 81.05/11.91 | | | | | | | | | e2))) & ( ~ (all_10_64 = e2) | (all_10_35 = e0 % 81.05/11.91 | | | | | | | | | & ~ (unit = e2))) & ( ~ (all_10_67 = e2) | % 81.05/11.91 | | | | | | | | | (all_10_38 = e0 & ~ (unit = e2))) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit = % 81.05/11.91 | | | | | | | | | e2))) % 81.05/11.91 | | | | | | | | | % 81.05/11.91 | | | | | | | | | ALPHA: (1517) implies: % 81.05/11.91 | | | | | | | | | (1518) ~ (all_10_13 = e2) | (all_10_41 = e4 & ~ (unit = % 81.05/11.91 | | | | | | | | | e2)) % 81.05/11.91 | | | | | | | | | % 81.05/11.91 | | | | | | | | | REF_CLOSE: (316), (532), (1486), (1518) are inconsistent by % 81.05/11.91 | | | | | | | | | sub-proof #183. % 81.05/11.91 | | | | | | | | | % 81.05/11.91 | | | | | | | | Case 2: % 81.05/11.91 | | | | | | | | | % 81.05/11.91 | | | | | | | | | (1519) (( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = % 81.05/11.91 | | | | | | | | | e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = % 81.05/11.91 | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) | % 81.05/11.91 | | | | | | | | | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit = % 81.05/11.91 | | | | | | | | | e1))) & ( ~ (all_10_13 = e1) | (all_10_55 = % 81.05/11.91 | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_16 = e1) | % 81.05/11.91 | | | | | | | | | (all_10_44 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_18 = e1) | (all_10_47 = e3 & ~ (unit = % 81.05/11.91 | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_50 = % 81.05/11.91 | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_24 = e1) | % 81.05/11.91 | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = % 81.05/11.91 | | | | | | | | | e1))) & ( ~ (all_10_30 = e1) | (all_10_44 = % 81.05/11.91 | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_33 = e1) | % 81.05/11.91 | | | | | | | | | (all_10_47 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_35 = e1) | (all_10_50 = e2 & ~ (unit = % 81.05/11.91 | | | | | | | | | e1))) & ( ~ (all_10_38 = e1) | (all_10_52 = % 81.05/11.91 | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_41 = e1) | % 81.05/11.91 | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit = % 81.05/11.91 | | | | | | | | | e1))) & ( ~ (all_10_61 = e1) | (all_10_47 = % 81.05/11.91 | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_64 = e1) | % 81.05/11.91 | | | | | | | | | (all_10_50 = e0 & ~ (unit = e1))) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_67 = e1) | (all_10_52 = e0 & ~ (unit = % 81.05/11.91 | | | | | | | | | e1))) & ( ~ (all_10_69 = e1) | (all_10_55 = % 81.05/11.91 | | | | | | | | | e0 & ~ (unit = e1)))) | (( ~ (all_10_1 = e0) % 81.05/11.91 | | | | | | | | | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = % 81.05/11.91 | | | | | | | | | e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = % 81.05/11.91 | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) | % 81.05/11.91 | | | | | | | | | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit = % 81.05/11.91 | | | | | | | | | e0))) & ( ~ (all_10_16 = e0) | (all_10_58 = % 81.05/11.91 | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_18 = e0) | % 81.05/11.91 | | | | | | | | | (all_10_61 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_21 = e0) | (all_10_64 = e3 & ~ (unit = % 81.05/11.91 | | | | | | | | | e0))) & ( ~ (all_10_24 = e0) | (all_10_67 = % 81.05/11.91 | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_27 = e0) | % 81.05/11.91 | | | | | | | | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit = % 81.05/11.91 | | | | | | | | | e0))) & ( ~ (all_10_33 = e0) | (all_10_61 = % 81.05/11.91 | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_35 = e0) | % 81.05/11.91 | | | | | | | | | (all_10_64 = e2 & ~ (unit = e0))) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_38 = e0) | (all_10_67 = e2 & ~ (unit = % 81.05/11.91 | | | | | | | | | e0))) & ( ~ (all_10_41 = e0) | (all_10_69 = % 81.05/11.91 | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_44 = e0) | % 81.05/11.91 | | | | | | | | | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit = % 81.05/11.91 | | | | | | | | | e0))) & ( ~ (all_10_50 = e0) | (all_10_64 = % 81.05/11.91 | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_52 = e0) | % 81.05/11.91 | | | | | | | | | (all_10_67 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_55 = e0) | (all_10_69 = e1 & ~ (unit = % 81.05/11.91 | | | | | | | | | e0))) & ( ~ (all_10_58 = e0) | ~ (unit = % 81.05/11.91 | | | | | | | | | e0)) & ( ~ (all_10_61 = e0) | ~ (unit = e0)) % 81.05/11.91 | | | | | | | | | & ( ~ (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.91 | | | | | | | | | (all_10_69 = e0) | ~ (unit = e0))) % 81.05/11.91 | | | | | | | | | % 81.05/11.91 | | | | | | | | | BETA: splitting (1519) gives: % 81.05/11.91 | | | | | | | | | % 81.05/11.91 | | | | | | | | | Case 1: % 81.05/11.91 | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | (1520) ( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = % 81.05/11.92 | | | | | | | | | | e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = % 81.05/11.92 | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) | % 81.05/11.92 | | | | | | | | | | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 81.05/11.92 | | | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit = % 81.05/11.92 | | | | | | | | | | e1))) & ( ~ (all_10_13 = e1) | (all_10_55 = % 81.05/11.92 | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_16 = e1) | % 81.05/11.92 | | | | | | | | | | (all_10_44 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.92 | | | | | | | | | | (all_10_18 = e1) | (all_10_47 = e3 & ~ (unit = % 81.05/11.92 | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_50 = % 81.05/11.92 | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_24 = e1) | % 81.05/11.92 | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.92 | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = % 81.05/11.92 | | | | | | | | | | e1))) & ( ~ (all_10_30 = e1) | (all_10_44 = % 81.05/11.92 | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_33 = e1) | % 81.05/11.92 | | | | | | | | | | (all_10_47 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.92 | | | | | | | | | | (all_10_35 = e1) | (all_10_50 = e2 & ~ (unit = % 81.05/11.92 | | | | | | | | | | e1))) & ( ~ (all_10_38 = e1) | (all_10_52 = % 81.05/11.92 | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_41 = e1) | % 81.05/11.92 | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.92 | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.92 | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.92 | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.92 | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.92 | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.92 | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit = % 81.05/11.92 | | | | | | | | | | e1))) & ( ~ (all_10_61 = e1) | (all_10_47 = % 81.05/11.92 | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_64 = e1) | % 81.05/11.92 | | | | | | | | | | (all_10_50 = e0 & ~ (unit = e1))) & ( ~ % 81.05/11.92 | | | | | | | | | | (all_10_67 = e1) | (all_10_52 = e0 & ~ (unit = % 81.05/11.92 | | | | | | | | | | e1))) & ( ~ (all_10_69 = e1) | (all_10_55 = % 81.05/11.92 | | | | | | | | | | e0 & ~ (unit = e1))) % 81.05/11.92 | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | ALPHA: (1520) implies: % 81.05/11.92 | | | | | | | | | | (1521) ~ (all_10_4 = e1) | (all_10_47 = e4 & ~ (unit = % 81.05/11.92 | | | | | | | | | | e1)) % 81.05/11.92 | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | REF_CLOSE: (370), (486), (1507), (1521) are inconsistent by % 81.05/11.92 | | | | | | | | | | sub-proof #182. % 81.05/11.92 | | | | | | | | | | % 81.05/11.92 | | | | | | | | | Case 2: % 81.05/11.92 | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | (1522) ( ~ (all_10_1 = e0) | (all_10_58 = e4 & ~ (unit = % 81.05/11.92 | | | | | | | | | | e0))) & ( ~ (all_10_4 = e0) | (all_10_61 = % 81.05/11.92 | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_7 = e0) | % 81.05/11.92 | | | | | | | | | | (all_10_64 = e4 & ~ (unit = e0))) & ( ~ % 81.05/11.92 | | | | | | | | | | (all_10_10 = e0) | (all_10_67 = e4 & ~ (unit = % 81.05/11.92 | | | | | | | | | | e0))) & ( ~ (all_10_13 = e0) | (all_10_69 = % 81.05/11.92 | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_16 = e0) | % 81.05/11.92 | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.92 | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit = % 81.05/11.92 | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_64 = % 81.05/11.92 | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_24 = e0) | % 81.05/11.92 | | | | | | | | | | (all_10_67 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.92 | | | | | | | | | | (all_10_27 = e0) | (all_10_69 = e3 & ~ (unit = % 81.05/11.92 | | | | | | | | | | e0))) & ( ~ (all_10_30 = e0) | (all_10_58 = % 81.05/11.92 | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_33 = e0) | % 81.05/11.92 | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 81.05/11.92 | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit = % 81.05/11.92 | | | | | | | | | | e0))) & ( ~ (all_10_38 = e0) | (all_10_67 = % 81.05/11.92 | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_41 = e0) | % 81.05/11.92 | | | | | | | | | | (all_10_69 = e2 & ~ (unit = e0))) & ( ~ % 81.05/11.92 | | | | | | | | | | (all_10_44 = e0) | (all_10_58 = e1 & ~ (unit = % 81.05/11.92 | | | | | | | | | | e0))) & ( ~ (all_10_47 = e0) | (all_10_61 = % 81.05/11.92 | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_50 = e0) | % 81.05/11.92 | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.92 | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit = % 81.05/11.92 | | | | | | | | | | e0))) & ( ~ (all_10_55 = e0) | (all_10_69 = % 81.05/11.92 | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_58 = e0) | % 81.05/11.92 | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_61 = e0) | ~ % 81.05/11.92 | | | | | | | | | | (unit = e0)) & ( ~ (all_10_64 = e0) | ~ (unit = % 81.05/11.92 | | | | | | | | | | e0)) & ( ~ (all_10_67 = e0) | ~ (unit = e0)) % 81.05/11.92 | | | | | | | | | | & ( ~ (all_10_69 = e0) | ~ (unit = e0)) % 81.05/11.92 | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | ALPHA: (1522) implies: % 81.05/11.92 | | | | | | | | | | (1523) ~ (all_10_50 = e0) | (all_10_64 = e1 & ~ (unit = % 81.05/11.92 | | | | | | | | | | e0)) % 81.05/11.92 | | | | | | | | | | (1524) ~ (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit = % 81.05/11.92 | | | | | | | | | | e0)) % 81.05/11.92 | | | | | | | | | | (1525) ~ (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit = % 81.05/11.92 | | | | | | | | | | e0)) % 81.05/11.92 | | | | | | | | | | (1526) ~ (all_10_33 = e0) | (all_10_61 = e2 & ~ (unit = % 81.05/11.92 | | | | | | | | | | e0)) % 81.05/11.92 | | | | | | | | | | (1527) ~ (all_10_27 = e0) | (all_10_69 = e3 & ~ (unit = % 81.05/11.92 | | | | | | | | | | e0)) % 81.05/11.92 | | | | | | | | | | (1528) ~ (all_10_21 = e0) | (all_10_64 = e3 & ~ (unit = % 81.05/11.92 | | | | | | | | | | e0)) % 81.05/11.92 | | | | | | | | | | (1529) ~ (all_10_1 = e0) | (all_10_58 = e4 & ~ (unit = % 81.05/11.92 | | | | | | | | | | e0)) % 81.05/11.92 | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | BETA: splitting (1524) gives: % 81.05/11.92 | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | Case 1: % 81.05/11.92 | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | (1530) ~ (all_10_47 = e0) % 81.05/11.92 | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | REDUCE: (486), (1530) imply: % 81.05/11.92 | | | | | | | | | | | (1531) ~ (all_4_16 = e0) % 81.05/11.92 | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | BETA: splitting (172) gives: % 81.05/11.92 | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | Case 1: % 81.05/11.92 | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | (1532) all_6_8 = e4 % 81.05/11.92 | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | COMBINE_EQS: (455), (1532) imply: % 81.05/11.92 | | | | | | | | | | | | (1533) all_4_16 = e4 % 81.05/11.92 | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | REDUCE: (1507), (1533) imply: % 81.05/11.92 | | | | | | | | | | | | (1534) $false % 81.05/11.92 | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | CLOSE: (1534) is inconsistent. % 81.05/11.92 | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | Case 2: % 81.05/11.92 | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | (1535) ~ (all_6_8 = e4) % 81.05/11.92 | | | | | | | | | | | | (1536) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | % 81.05/11.92 | | | | | | | | | | | | all_6_8 = e0 % 81.05/11.92 | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | BETA: splitting (1536) gives: % 81.05/11.92 | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | Case 1: % 81.05/11.92 | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | (1537) all_6_8 = e2 % 81.05/11.92 | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | COMBINE_EQS: (455), (1537) imply: % 81.05/11.92 | | | | | | | | | | | | | (1538) all_4_16 = e2 % 81.05/11.92 | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | COMBINE_EQS: (358), (1538) imply: % 81.05/11.92 | | | | | | | | | | | | | (1539) all_8_10 = e2 % 81.05/11.92 | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | REDUCE: (45), (1538) imply: % 81.05/11.92 | | | | | | | | | | | | | (1540) ~ (all_4_11 = e2) % 81.05/11.92 | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | REDUCE: (28), (1538) imply: % 81.05/11.92 | | | | | | | | | | | | | (1541) ~ (all_4_18 = e2) % 81.05/11.92 | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | SIMP: (1541) implies: % 81.05/11.92 | | | | | | | | | | | | | (1542) ~ (all_4_18 = e2) % 81.05/11.92 | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | REDUCE: (26), (1538) imply: % 81.05/11.92 | | | | | | | | | | | | | (1543) ~ (all_4_21 = e2) % 81.05/11.92 | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | SIMP: (1543) implies: % 81.05/11.92 | | | | | | | | | | | | | (1544) ~ (all_4_21 = e2) % 81.05/11.92 | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | REDUCE: (1531), (1538) imply: % 81.05/11.92 | | | | | | | | | | | | | (1545) ~ (e2 = e0) % 81.05/11.92 | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | REDUCE: (561), (1538) imply: % 81.05/11.92 | | | | | | | | | | | | | (1546) op(e1, e2) = all_10_45 % 81.05/11.92 | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | BETA: splitting (220) gives: % 81.05/11.92 | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | Case 1: % 81.05/11.92 | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | (1547) all_8_9 = e4 % 81.05/11.92 | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | COMBINE_EQS: (1506), (1547) imply: % 81.05/11.92 | | | | | | | | | | | | | | (1548) e4 = e3 % 81.05/11.92 | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | REDUCE: (1471), (1548) imply: % 81.05/11.92 | | | | | | | | | | | | | | (1549) $false % 81.05/11.92 | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | CLOSE: (1549) is inconsistent. % 81.05/11.92 | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | Case 2: % 81.05/11.92 | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | (1550) all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 | % 81.05/11.92 | | | | | | | | | | | | | | all_8_23 = e4 % 81.05/11.92 | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | BETA: splitting (1550) gives: % 81.05/11.92 | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | Case 1: % 81.05/11.92 | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | (1551) all_8_10 = e4 % 81.05/11.92 | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | COMBINE_EQS: (1539), (1551) imply: % 81.05/11.92 | | | | | | | | | | | | | | | (1552) e4 = e2 % 81.05/11.92 | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | REDUCE: (1494), (1552) imply: % 81.05/11.92 | | | | | | | | | | | | | | | (1553) $false % 81.05/11.92 | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | CLOSE: (1553) is inconsistent. % 81.05/11.92 | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | Case 2: % 81.05/11.92 | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | (1554) all_8_11 = e4 | all_8_15 = e4 | all_8_23 = e4 % 81.05/11.92 | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | BETA: splitting (1554) gives: % 81.05/11.92 | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | Case 1: % 81.05/11.92 | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | (1555) all_8_11 = e4 % 81.05/11.92 | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | REF_CLOSE: (422), (534), (1555) are inconsistent by sub-proof % 81.05/11.92 | | | | | | | | | | | | | | | | #85. % 81.05/11.92 | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | Case 2: % 81.05/11.92 | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | (1556) all_8_15 = e4 | all_8_23 = e4 % 81.05/11.92 | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | BETA: splitting (1529) gives: % 81.05/11.92 | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | Case 1: % 81.05/11.92 | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | (1557) ~ (all_10_1 = e0) % 81.05/11.92 | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | REDUCE: (386), (1557) imply: % 81.05/11.92 | | | | | | | | | | | | | | | | | (1558) $false % 81.05/11.92 | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | CLOSE: (1558) is inconsistent. % 81.05/11.92 | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | Case 2: % 81.05/11.92 | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | (1559) all_10_58 = e4 & ~ (unit = e0) % 81.05/11.92 | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | ALPHA: (1559) implies: % 81.05/11.92 | | | | | | | | | | | | | | | | | (1560) all_10_58 = e4 % 81.05/11.92 | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | COMBINE_EQS: (373), (1560) imply: % 81.05/11.92 | | | | | | | | | | | | | | | | | (1561) all_4_20 = e4 % 81.05/11.92 | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | SIMP: (1561) implies: % 81.05/11.92 | | | | | | | | | | | | | | | | | (1562) all_4_20 = e4 % 81.05/11.92 | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | COMBINE_EQS: (428), (1562) imply: % 81.05/11.92 | | | | | | | | | | | | | | | | | (1563) all_8_16 = e4 % 81.05/11.92 | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | REDUCE: (73), (1562) imply: % 81.05/11.92 | | | | | | | | | | | | | | | | | (1564) ~ (all_4_5 = e4) % 81.05/11.92 | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | REDUCE: (503), (1562) imply: % 81.05/11.92 | | | | | | | | | | | | | | | | | (1565) ~ (e4 = e0) % 81.05/11.92 | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | BETA: splitting (1528) gives: % 81.05/11.92 | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.92 | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | (1566) ~ (all_10_21 = e0) % 81.05/11.92 | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | REDUCE: (350), (1566) imply: % 81.05/11.92 | | | | | | | | | | | | | | | | | | (1567) ~ (all_4_7 = e0) % 81.05/11.92 | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | BETA: splitting (1556) gives: % 81.05/11.92 | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | (1568) all_8_15 = e4 % 81.05/11.92 | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (424), (1468), (1568) are inconsistent by % 81.05/11.92 | | | | | | | | | | | | | | | | | | | sub-proof #99. % 81.05/11.92 | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | (1569) all_8_23 = e4 % 81.05/11.92 | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (1569) imply: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | (1570) all_4_19 = e4 % 81.05/11.92 | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | SIMP: (1570) implies: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | (1571) all_4_19 = e4 % 81.05/11.92 | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | REDUCE: (56), (1571) imply: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | (1572) ~ (all_4_9 = e4) % 81.05/11.92 | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | REDUCE: (20), (1571) imply: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | (1573) ~ (all_4_24 = e4) % 81.05/11.92 | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | SIMP: (1573) implies: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | (1574) ~ (all_4_24 = e4) % 81.05/11.92 | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | REDUCE: (563), (1571) imply: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | (1575) op(e1, e4) = all_10_53 % 81.05/11.92 | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | (1576) all_8_1 = e4 % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (1576) imply: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | (1577) all_4_5 = e4 % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (1564), (1577) imply: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | (1578) $false % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | CLOSE: (1578) is inconsistent. % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | (1579) all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | all_8_21 = e4 % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1579) gives: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | (1580) all_8_3 = e4 % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (1580) imply: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | (1581) all_4_6 = e4 % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (1581) imply: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | (1582) ~ (all_4_7 = e4) % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (1581) imply: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | (1583) ~ (all_4_11 = e4) % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1525) gives: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | (1584) ~ (all_10_41 = e0) % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (316), (1584) imply: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | (1585) ~ (all_4_14 = e0) % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1457) gives: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | (1586) all_8_20 = e0 % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1485), (1545), (1586) are inconsistent by % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #84. % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | (1587) ~ (all_8_20 = e0) % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | (1588) all_8_21 = e0 | all_8_22 = e0 | all_8_23 = e0 % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1526) gives: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | (1589) ~ (all_10_33 = e0) % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (1589) imply: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | (1590) ~ (all_4_11 = e0) % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (173) gives: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | (1591) all_6_7 = e4 % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (528), (1591) are inconsistent by sub-proof % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | #83. % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | (1592) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | all_6_7 = e0 % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1592) gives: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (1593) all_6_7 = e2 % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (1540), (1593) are inconsistent by % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #82. % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (1594) all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0 % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1594) gives: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1595) all_6_7 = e3 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (1595) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1596) all_4_11 = e3 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1596) implies: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1597) all_4_11 = e3 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (1597) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1598) all_8_5 = e3 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (54), (1597) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1599) ~ (all_4_10 = e3) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (1597) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1600) ~ (all_4_14 = e3) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1600) implies: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1601) ~ (all_4_14 = e3) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1602) all_6_22 = e4 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (532), (1602) are inconsistent by sub-proof % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #125. % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1603) ~ (all_6_22 = e4) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1604) all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e1 | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_22 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1604) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1605) all_6_22 = e2 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (1605) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1606) all_4_14 = e2 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1606) implies: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1607) all_4_14 = e2 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1488), (1607) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608) $false % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1608) is inconsistent. % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1609) ~ (all_6_22 = e2) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1610) all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1610) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1611) all_6_22 = e3 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (1611) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1612) all_4_14 = e3 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1612) implies: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1613) all_4_14 = e3 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1601), (1613) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1614) $false % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1614) is inconsistent. % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1615) all_6_22 = e1 | all_6_22 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1615) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1616) all_6_22 = e1 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (1616) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1617) all_4_14 = e1 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1617) implies: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1618) all_4_14 = e1 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (1618) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1619) all_8_22 = e1 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (1618) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1620) ~ (all_4_10 = e1) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (1618) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1621) ~ (all_4_24 = e1) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1621) implies: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1622) ~ (all_4_24 = e1) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (532), (1618) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623) ~ (e4 = e1) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1488), (1618) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624) ~ (e2 = e1) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1624) implies: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1625) ~ (e2 = e1) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (177) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1626) all_6_2 = e4 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (527), (1626) are inconsistent by sub-proof % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #168. % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1627) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_2 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (159) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1628) all_6_24 = e4 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (1628) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1629) all_4_24 = e4 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1574), (1629) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1630) $false % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1630) is inconsistent. % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1631) ~ (all_6_24 = e4) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1632) all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_24 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1632) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1633) all_6_24 = e2 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (1633) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1634) all_4_24 = e2 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1492), (1634) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1635) $false % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1635) is inconsistent. % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1636) all_6_24 = e3 | all_6_24 = e1 | all_6_24 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1636) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637) all_6_24 = e3 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (1637) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1638) all_4_24 = e3 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (1638) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1639) ~ (all_4_9 = e3) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1574), (1638) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1640) ~ (e4 = e3) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1622), (1638) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641) ~ (e3 = e1) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1642) all_8_4 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (1642) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) all_4_10 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (499), (1643) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) $false % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1644) is inconsistent. % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) ~ (all_8_4 = e0) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) all_8_5 = e0 | all_8_8 = e0 | all_8_14 = e0 | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_22 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1646) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) all_8_5 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1598), (1647) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) e3 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (1648) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) $false % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1649) is inconsistent. % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) all_8_8 = e0 | all_8_14 = e0 | all_8_22 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) all_8_0 = e1 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (1651) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) e1 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1652) implies: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) e1 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (1653) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) $false % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1654) is inconsistent. % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16 = e1 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) all_8_1 = e3 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (1656) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1657) all_4_5 = e3 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1508), (1657) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1658) $false % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1658) is inconsistent. % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1659) all_8_3 = e3 | all_8_7 = e3 | all_8_13 = e3 | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_21 = e3 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1655) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1660) all_8_1 = e1 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (1660) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1661) all_4_5 = e1 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (1661) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1662) ~ (all_4_7 = e1) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1662) implies: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1663) ~ (all_4_7 = e1) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (1661) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664) ~ (all_4_10 = e1) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1665) all_8_0 = e2 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (1665) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666) e2 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1666) implies: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) e2 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1545), (1667) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) $false % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1668) is inconsistent. % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) all_8_1 = e2 | all_8_4 = e2 | all_8_9 = e2 | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16 = e2 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1669) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) all_8_1 = e2 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1625), (1660), (1670) are inconsistent by % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #158. % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) all_8_4 = e2 | all_8_9 = e2 | all_8_16 = e2 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (170) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) all_6_11 = e4 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (1672) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) all_4_7 = e4 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (526), (1673) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) $false % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1674) is inconsistent. % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_11 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1675) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) all_6_11 = e2 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (1676) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) all_4_7 = e2 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (1677) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) all_8_7 = e2 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1671) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) all_8_4 = e2 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (1679) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) all_4_10 = e2 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (1680) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) ~ (all_4_13 = e2) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1681) implies: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) ~ (all_4_13 = e2) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1659) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) all_8_3 = e3 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1580), (1683) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) e4 = e3 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1471), (1684) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) $false % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1685) is inconsistent. % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) all_8_7 = e3 | all_8_13 = e3 | all_8_21 = e3 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1686) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) all_8_7 = e3 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1678), (1687) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) e3 = e2 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1688) implies: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) e3 = e2 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1496), (1689) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) $false % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1690) is inconsistent. % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) all_8_13 = e3 | all_8_21 = e3 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1691) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) all_8_13 = e3 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (1692) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) all_4_8 = e3 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1693) implies: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) all_4_8 = e3 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (1694) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) ~ (all_4_13 = e3) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1695) implies: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) ~ (all_4_13 = e3) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (1694) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) ~ (all_4_18 = e3) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1697) implies: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) ~ (all_4_18 = e3) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (558), (1694) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) op(e1, e3) = all_10_23 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (116), (1694) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) op(e1, e3) = e3 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1650) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) all_8_8 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (345), (1701) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) e4 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1565), (1702) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) $false % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1703) is inconsistent. % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) all_8_14 = e0 | all_8_22 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1704) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) all_8_14 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (1705) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) all_4_13 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1706) implies: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1707) all_4_13 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (1707) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708) ~ (all_4_18 = e0) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1708) implies: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) ~ (all_4_18 = e0) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (530), (1707) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) ~ (e4 = e0) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1682), (1707) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1711) ~ (e2 = e0) % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (1707) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1712) op(e2, e0) = all_10_36 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (115), (1707) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1713) op(e1, e2) = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714) all_6_18 = e4 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (464), (1714) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1715) all_4_18 = e4 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1468), (1715) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1716) $false % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1716) is inconsistent. % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) all_6_18 = e3 | all_6_18 = e2 | all_6_18 = e1 | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_18 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) all_8_9 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1506), (1718) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) e3 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (1719) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) $false % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1720) is inconsistent. % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1717) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) all_6_18 = e2 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (464), (1722) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) all_4_18 = e2 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1542), (1723) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) $false % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1724) is inconsistent. % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) all_6_18 = e3 | all_6_18 = e1 | all_6_18 = e0 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1725) gives: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) all_6_18 = e3 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (464), (1726) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) all_4_18 = e3 % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1698), (1727) imply: % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) $false % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1728) is inconsistent. % 81.05/11.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) all_6_18 = e1 | all_6_18 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1729) gives: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) all_6_18 = e1 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (464), (1730) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) all_4_18 = e1 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (1731) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) all_8_15 = e1 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1721) gives: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) all_8_10 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1539), (1733) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) e2 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1545), (1734) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) $false % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1735) is inconsistent. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) all_8_11 = e0 | all_8_15 = e0 | all_8_23 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1736) gives: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) all_8_11 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (1737) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1738) all_4_17 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (1738) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1739) all_10_50 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (555), (1738) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1740) op(e2, e0) = all_10_49 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1523) gives: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1741) ~ (all_10_50 = e0) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1739), (1741) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1742) $false % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1742) is inconsistent. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1743) all_10_64 = e1 & ~ (unit = e0) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1743) implies: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1744) all_10_64 = e1 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (340), (1744) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1745) all_4_22 = e1 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1745) implies: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1746) all_4_22 = e1 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (118), (1746) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1747) op(e2, e0) = e1 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_45, e2, e1, simplifying with (1546), (1713) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1748) all_10_45 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_42, % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e3, e1, simplifying with (1511), (1699) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1749) all_10_23 = all_10_42 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_23, e3, e1, simplifying with (1699), (1700) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750) all_10_23 = e3 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_53, e4, e1, simplifying with (1475), (1575) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751) all_10_53 = e4 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_49, % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_36, e0, e2, simplifying with (1712), (1740) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1752) all_10_36 = all_10_49 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_36, e0, e2, simplifying with (1712), (1747) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1753) all_10_36 = e1 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1749), (1750) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1754) all_10_42 = e3 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1752), (1753) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1755) all_10_49 = e1 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1755) implies: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1756) all_10_49 = e1 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1757) (all_10_42 = e4 & ~ (all_10_43 = e1)) | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_45 = e3 & ~ (all_10_46 = e1)) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1757) gives: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758) all_10_42 = e4 & ~ (all_10_43 = e1) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1758) implies: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1759) all_10_42 = e4 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1754), (1759) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1760) e4 = e3 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1471), (1760) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1761) $false % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1761) is inconsistent. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762) all_10_45 = e3 & ~ (all_10_46 = e1) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1762) implies: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1763) all_10_45 = e3 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1748), (1763) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) e3 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (1764) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) $false % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1765) is inconsistent. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) (all_10_48 = e2 & ~ (all_10_49 = e1)) | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_53 = e0 & ~ (all_10_54 = e1)) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1766) gives: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) all_10_48 = e2 & ~ (all_10_49 = e1) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1767) implies: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) ~ (all_10_49 = e1) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1756), (1768) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) $false % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1769) is inconsistent. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) all_10_53 = e0 & ~ (all_10_54 = e1) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1565), (1751), (1770) are inconsistent by % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #103. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) all_8_15 = e0 | all_8_23 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1771) gives: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) all_8_15 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (1732), (1772) are inconsistent by % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #81. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) all_8_23 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1565), (1569), (1773) are inconsistent by % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #80. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) all_6_18 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (464), (1774) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) all_4_18 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1709), (1775) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) $false % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1776) is inconsistent. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) all_8_22 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (1619), (1777) are inconsistent by % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #79. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) all_8_21 = e3 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (1778) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) all_4_9 = e3 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1779) implies: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) all_4_9 = e3 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1639), (1780) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) $false % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1781) is inconsistent. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) ~ (all_8_4 = e2) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (407), (1782) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) ~ (all_4_10 = e2) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1627) gives: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) all_6_2 = e2 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (1783), (1784) are inconsistent by % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #78. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1785) gives: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) all_6_2 = e3 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (1599), (1786) are inconsistent by % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #77. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) all_6_2 = e1 | all_6_2 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (499), (1620), (1787) are inconsistent by % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #155. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (521), (1567), (1663), (1788) are % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #126. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) all_8_4 = e1 | all_8_9 = e1 | all_8_16 = e1 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (407), (1472), (1506), (1563), (1620), (1641), % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) are inconsistent by sub-proof #76. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) ~ (all_6_24 = e3) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (479), (1790) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) ~ (all_4_24 = e3) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1527) gives: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) ~ (all_10_27 = e0) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (319), (1792) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1793) ~ (all_4_9 = e0) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1588) gives: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1794) all_8_21 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (406), (1793), (1794) are inconsistent by % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #95. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1795) all_8_22 = e0 | all_8_23 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1795) gives: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1796) all_8_22 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (1619), (1796) are inconsistent by % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #79. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797) all_8_23 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1565), (1569), (1797) are inconsistent by % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #80. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1798) all_10_69 = e3 & ~ (unit = e0) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (310), (1791), (1798) are inconsistent by % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #75. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1799) all_6_22 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (1799) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1800) all_4_14 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1800) implies: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1801) all_4_14 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1585), (1801) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) $false % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1802) is inconsistent. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) all_6_7 = e1 | all_6_7 = e0 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (511), (1590), (1803) are inconsistent by % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #73. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | (1804) all_10_61 = e2 & ~ (unit = e0) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (357), (1544), (1804) are inconsistent by % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #175. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | (1805) all_10_69 = e2 & ~ (unit = e0) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1805) implies: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | (1806) all_10_69 = e2 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (1806) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | (1807) all_4_24 = e2 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1492), (1807) imply: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | (1808) $false % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1808) is inconsistent. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | (1809) all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4 % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (402), (403), (406), (526), (1466), (1572), (1809) % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #135. % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | (1810) all_10_64 = e3 & ~ (unit = e0) % 81.05/11.94 | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | | REF_CLOSE: (340), (525), (1810) are inconsistent by sub-proof % 81.05/11.94 | | | | | | | | | | | | | | | | | | #142. % 81.05/11.94 | | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | (1811) all_6_8 = e3 | all_6_8 = e1 | all_6_8 = e0 % 81.05/11.94 | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | | REF_CLOSE: (455), (513), (1510), (1531), (1811) are % 81.05/11.94 | | | | | | | | | | | | | inconsistent by sub-proof #171. % 81.05/11.94 | | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | (1812) all_10_61 = e1 & ~ (unit = e0) % 81.05/11.94 | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | | REF_CLOSE: (357), (515), (1812) are inconsistent by sub-proof % 81.05/11.94 | | | | | | | | | | | #170. % 81.05/11.94 | | | | | | | | | | | % 81.05/11.94 | | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | | % 81.05/11.94 | | | | | | | | | End of split % 81.05/11.94 | | | | | | | | | % 81.05/11.94 | | | | | | | | End of split % 81.05/11.94 | | | | | | | | % 81.05/11.94 | | | | | | | End of split % 81.05/11.94 | | | | | | | % 81.05/11.94 | | | | | | Case 2: % 81.05/11.94 | | | | | | | % 81.05/11.94 | | | | | | | (1813) all_10_5 = e2 & ~ (all_10_6 = e4) % 81.05/11.94 | | | | | | | % 81.05/11.94 | | | | | | | ALPHA: (1813) implies: % 81.05/11.94 | | | | | | | (1814) all_10_5 = e2 % 81.05/11.94 | | | | | | | (1815) ~ (all_10_6 = e4) % 81.05/11.94 | | | | | | | % 81.05/11.94 | | | | | | | COMBINE_EQS: (576), (1814) imply: % 81.05/11.94 | | | | | | | (1816) all_4_5 = e2 % 81.05/11.94 | | | | | | | % 81.05/11.94 | | | | | | | SIMP: (1816) implies: % 81.05/11.94 | | | | | | | (1817) all_4_5 = e2 % 81.05/11.94 | | | | | | | % 81.05/11.94 | | | | | | | COMBINE_EQS: (397), (1817) imply: % 81.05/11.94 | | | | | | | (1818) all_8_1 = e2 % 81.05/11.94 | | | | | | | % 81.05/11.94 | | | | | | | REDUCE: (79), (1817) imply: % 81.05/11.94 | | | | | | | (1819) ~ (all_4_6 = e2) % 81.05/11.94 | | | | | | | % 81.05/11.94 | | | | | | | SIMP: (1819) implies: % 81.05/11.94 | | | | | | | (1820) ~ (all_4_6 = e2) % 81.05/11.94 | | | | | | | % 81.05/11.94 | | | | | | | REDUCE: (78), (1817) imply: % 81.05/11.94 | | | | | | | (1821) ~ (all_4_7 = e2) % 81.05/11.94 | | | | | | | % 81.05/11.94 | | | | | | | SIMP: (1821) implies: % 81.05/11.94 | | | | | | | (1822) ~ (all_4_7 = e2) % 81.05/11.94 | | | | | | | % 81.05/11.94 | | | | | | | REDUCE: (77), (1817) imply: % 81.05/11.94 | | | | | | | (1823) ~ (all_4_8 = e2) % 81.05/11.94 | | | | | | | % 81.05/11.94 | | | | | | | SIMP: (1823) implies: % 81.05/11.94 | | | | | | | (1824) ~ (all_4_8 = e2) % 81.05/11.94 | | | | | | | % 81.05/11.94 | | | | | | | REDUCE: (76), (1817) imply: % 81.05/11.94 | | | | | | | (1825) ~ (all_4_9 = e2) % 81.05/11.94 | | | | | | | % 81.05/11.94 | | | | | | | SIMP: (1825) implies: % 81.05/11.94 | | | | | | | (1826) ~ (all_4_9 = e2) % 81.05/11.94 | | | | | | | % 81.05/11.94 | | | | | | | REDUCE: (75), (1817) imply: % 81.05/11.94 | | | | | | | (1827) ~ (all_4_10 = e2) % 81.05/11.94 | | | | | | | % 81.05/11.94 | | | | | | | SIMP: (1827) implies: % 81.05/11.94 | | | | | | | (1828) ~ (all_4_10 = e2) % 81.05/11.94 | | | | | | | % 81.05/11.94 | | | | | | | REDUCE: (74), (1817) imply: % 81.05/11.94 | | | | | | | (1829) ~ (all_4_15 = e2) % 81.05/11.94 | | | | | | | % 81.05/11.94 | | | | | | | SIMP: (1829) implies: % 81.05/11.94 | | | | | | | (1830) ~ (all_4_15 = e2) % 81.05/11.94 | | | | | | | % 81.05/11.94 | | | | | | | REDUCE: (497), (1817) imply: % 81.05/11.94 | | | | | | | (1831) ~ (e2 = e0) % 81.05/11.94 | | | | | | | % 81.05/11.94 | | | | | | | REDUCE: (543), (1817) imply: % 81.05/11.94 | | | | | | | (1832) op(e3, e2) = all_10_14 % 81.05/11.94 | | | | | | | % 81.05/11.94 | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_11, % 81.05/11.94 | | | | | | | all_10_14, e2, e3, simplifying with (125), (1832) % 81.05/11.94 | | | | | | | gives: % 81.05/11.94 | | | | | | | (1833) all_10_14 = all_4_11 % 81.05/11.94 | | | | | | | % 81.05/11.94 | | | | | | | BETA: splitting (170) gives: % 81.05/11.94 | | | | | | | % 81.05/11.94 | | | | | | | Case 1: % 81.05/11.94 | | | | | | | | % 81.05/11.94 | | | | | | | | (1834) all_6_11 = e4 % 81.05/11.94 | | | | | | | | % 81.05/11.94 | | | | | | | | REF_CLOSE: (450), (526), (1834) are inconsistent by sub-proof % 81.05/11.94 | | | | | | | | #169. % 81.05/11.94 | | | | | | | | % 81.05/11.94 | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | % 81.05/11.94 | | | | | | | | (1835) ~ (all_6_11 = e4) % 81.05/11.94 | | | | | | | | (1836) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 | % 81.05/11.94 | | | | | | | | all_6_11 = e0 % 81.05/11.94 | | | | | | | | % 81.05/11.94 | | | | | | | | BETA: splitting (177) gives: % 81.05/11.94 | | | | | | | | % 81.05/11.94 | | | | | | | | Case 1: % 81.05/11.94 | | | | | | | | | % 81.05/11.94 | | | | | | | | | (1837) all_6_2 = e4 % 81.05/11.94 | | | | | | | | | % 81.05/11.94 | | | | | | | | | REF_CLOSE: (444), (527), (1837) are inconsistent by sub-proof % 81.05/11.94 | | | | | | | | | #168. % 81.05/11.94 | | | | | | | | | % 81.05/11.94 | | | | | | | | Case 2: % 81.05/11.94 | | | | | | | | | % 81.05/11.94 | | | | | | | | | (1838) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 % 81.05/11.94 | | | | | | | | | = e0 % 81.05/11.94 | | | | | | | | | % 81.05/11.94 | | | | | | | | | BETA: splitting (159) gives: % 81.05/11.95 | | | | | | | | | % 81.05/11.95 | | | | | | | | | Case 1: % 81.05/11.95 | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | (1839) all_6_24 = e4 % 81.05/11.95 | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | COMBINE_EQS: (479), (1839) imply: % 81.05/11.95 | | | | | | | | | | (1840) all_4_24 = e4 % 81.05/11.95 | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | REDUCE: (55), (1840) imply: % 81.05/11.95 | | | | | | | | | | (1841) ~ (all_4_9 = e4) % 81.05/11.95 | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | REDUCE: (16), (1840) imply: % 81.05/11.95 | | | | | | | | | | (1842) ~ (all_4_20 = e4) % 81.05/11.95 | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | REF_CLOSE: (68), (72), (235), (302), (316), (350), (354), % 81.05/11.95 | | | | | | | | | | (370), (373), (386), (400), (402), (403), (406), % 81.05/11.95 | | | | | | | | | | (486), (487), (526), (532), (1466), (1486), % 81.05/11.95 | | | | | | | | | | (1494), (1496), (1818), (1841), (1842) are % 81.05/11.95 | | | | | | | | | | inconsistent by sub-proof #134. % 81.05/11.95 | | | | | | | | | | % 81.05/11.95 | | | | | | | | | Case 2: % 81.05/11.95 | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | (1843) ~ (all_6_24 = e4) % 81.05/11.95 | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | REDUCE: (479), (1843) imply: % 81.05/11.95 | | | | | | | | | | (1844) ~ (all_4_24 = e4) % 81.05/11.95 | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | BETA: splitting (235) gives: % 81.05/11.95 | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | Case 1: % 81.05/11.95 | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | (1845) all_8_1 = e4 % 81.05/11.95 | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | COMBINE_EQS: (1818), (1845) imply: % 81.05/11.95 | | | | | | | | | | | (1846) e4 = e2 % 81.05/11.95 | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | REDUCE: (1494), (1846) imply: % 81.05/11.95 | | | | | | | | | | | (1847) $false % 81.05/11.95 | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | CLOSE: (1847) is inconsistent. % 81.05/11.95 | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | Case 2: % 81.05/11.95 | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | (1848) all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 | % 81.05/11.95 | | | | | | | | | | | all_8_21 = e4 % 81.05/11.95 | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | BETA: splitting (175) gives: % 81.05/11.95 | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | Case 1: % 81.05/11.95 | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | (1849) all_6_4 = e4 % 81.05/11.95 | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | COMBINE_EQS: (466), (1849) imply: % 81.05/11.95 | | | | | | | | | | | | (1850) all_4_20 = e4 % 81.05/11.95 | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | COMBINE_EQS: (428), (1850) imply: % 81.05/11.95 | | | | | | | | | | | | (1851) all_8_16 = e4 % 81.05/11.95 | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | REDUCE: (30), (1850) imply: % 81.05/11.95 | | | | | | | | | | | | (1852) ~ (all_4_15 = e4) % 81.05/11.95 | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | REDUCE: (19), (1850) imply: % 81.05/11.95 | | | | | | | | | | | | (1853) ~ (all_4_21 = e4) % 81.05/11.95 | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | SIMP: (1853) implies: % 81.05/11.95 | | | | | | | | | | | | (1854) ~ (all_4_21 = e4) % 81.05/11.95 | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | REDUCE: (16), (1850) imply: % 81.05/11.95 | | | | | | | | | | | | (1855) ~ (all_4_24 = e4) % 81.05/11.95 | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | REDUCE: (503), (1850) imply: % 81.05/11.95 | | | | | | | | | | | | (1856) ~ (e4 = e0) % 81.05/11.95 | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | BETA: splitting (176) gives: % 81.05/11.95 | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | Case 1: % 81.05/11.95 | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | (1857) all_6_3 = e4 % 81.05/11.95 | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | COMBINE_EQS: (454), (1857) imply: % 81.05/11.95 | | | | | | | | | | | | | (1858) all_4_15 = e4 % 81.05/11.95 | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | SIMP: (1858) implies: % 81.05/11.95 | | | | | | | | | | | | | (1859) all_4_15 = e4 % 81.05/11.95 | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | REDUCE: (1852), (1859) imply: % 81.05/11.95 | | | | | | | | | | | | | (1860) $false % 81.05/11.95 | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | CLOSE: (1860) is inconsistent. % 81.05/11.95 | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | Case 2: % 81.05/11.95 | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | (1861) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | % 81.05/11.95 | | | | | | | | | | | | | all_6_3 = e0 % 81.05/11.95 | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | BETA: splitting (174) gives: % 81.05/11.95 | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | Case 1: % 81.05/11.95 | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | (1862) all_6_6 = e4 % 81.05/11.95 | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | COMBINE_EQS: (443), (1862) imply: % 81.05/11.95 | | | | | | | | | | | | | | (1863) all_4_6 = e4 % 81.05/11.95 | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | SIMP: (1863) implies: % 81.05/11.95 | | | | | | | | | | | | | | (1864) all_4_6 = e4 % 81.05/11.95 | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | REDUCE: (72), (1864) imply: % 81.05/11.95 | | | | | | | | | | | | | | (1865) ~ (all_4_7 = e4) % 81.05/11.95 | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | REDUCE: (70), (1864) imply: % 81.05/11.95 | | | | | | | | | | | | | | (1866) ~ (all_4_9 = e4) % 81.05/11.95 | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | SIMP: (1866) implies: % 81.05/11.95 | | | | | | | | | | | | | | (1867) ~ (all_4_9 = e4) % 81.05/11.95 | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | REDUCE: (69), (1864) imply: % 81.05/11.95 | | | | | | | | | | | | | | (1868) ~ (all_4_11 = e4) % 81.05/11.95 | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | REDUCE: (68), (1864) imply: % 81.05/11.95 | | | | | | | | | | | | | | (1869) ~ (all_4_16 = e4) % 81.05/11.95 | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | SIMP: (1869) implies: % 81.05/11.95 | | | | | | | | | | | | | | (1870) ~ (all_4_16 = e4) % 81.05/11.95 | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | REDUCE: (126), (1864) imply: % 81.05/11.95 | | | | | | | | | | | | | | (1871) op(e3, e3) = e4 % 81.05/11.95 | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | BETA: splitting (209) gives: % 81.05/11.95 | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | Case 1: % 81.05/11.95 | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | (1872) all_8_20 = e4 % 81.05/11.95 | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | COMBINE_EQS: (1485), (1872) imply: % 81.05/11.95 | | | | | | | | | | | | | | | (1873) e4 = e2 % 81.05/11.95 | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | REDUCE: (1494), (1873) imply: % 81.05/11.95 | | | | | | | | | | | | | | | (1874) $false % 81.05/11.95 | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | CLOSE: (1874) is inconsistent. % 81.05/11.95 | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | Case 2: % 81.05/11.95 | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | (1875) all_8_21 = e4 | all_8_22 = e4 | all_8_23 = e4 | % 81.05/11.95 | | | | | | | | | | | | | | | all_8_24 = e4 % 81.05/11.95 | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | BETA: splitting (302) gives: % 81.05/11.95 | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | Case 1: % 81.05/11.95 | | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | | (1876) (( ~ (all_10_1 = e4) | ~ (unit = e4)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_4 = e4) | ~ (unit = e4)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_7 = e4) | ~ (unit = e4)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_10 = e4) | ~ (unit = e4)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_13 = e4) | ~ (unit = e4)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_16 = e4) | (all_10_1 = e3 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_18 = e4) | (all_10_4 = % 81.05/11.95 | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_21 = e4) % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_7 = e3 & ~ (unit = e4))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_24 = e4) | (all_10_10 = e3 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_27 = e4) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_13 = e3 & ~ (unit = e4))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_30 = e4) | (all_10_1 = e2 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_33 = e4) | (all_10_4 = % 81.05/11.95 | | | | | | | | | | | | | | | | e2 & ~ (unit = e4))) & ( ~ (all_10_35 = e4) % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_7 = e2 & ~ (unit = e4))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_38 = e4) | (all_10_10 = e2 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_41 = e4) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_13 = e2 & ~ (unit = e4))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_44 = e4) | (all_10_1 = e1 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_47 = e4) | (all_10_4 = % 81.05/11.95 | | | | | | | | | | | | | | | | e1 & ~ (unit = e4))) & ( ~ (all_10_50 = e4) % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_7 = e1 & ~ (unit = e4))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_52 = e4) | (all_10_10 = e1 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_55 = e4) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e4))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_58 = e4) | (all_10_1 = e0 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_61 = e4) | (all_10_4 = % 81.05/11.95 | | | | | | | | | | | | | | | | e0 & ~ (unit = e4))) & ( ~ (all_10_64 = e4) % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_7 = e0 & ~ (unit = e4))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_67 = e4) | (all_10_10 = e0 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_69 = e4) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_13 = e0 & ~ (unit = e4)))) | (( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_16 = e4 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_4 = e3) | (all_10_18 = % 81.05/11.95 | | | | | | | | | | | | | | | | e4 & ~ (unit = e3))) & ( ~ (all_10_7 = e3) % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_21 = e4 & ~ (unit = e3))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_10 = e3) | (all_10_24 = e4 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_13 = e3) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_27 = e4 & ~ (unit = e3))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_16 = e3) | ~ (unit = e3)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_18 = e3) | ~ (unit = e3)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_21 = e3) | ~ (unit = e3)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_24 = e3) | ~ (unit = e3)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_27 = e3) | ~ (unit = e3)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_30 = e3) | (all_10_16 = e2 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_33 = e3) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_18 = e2 & ~ (unit = e3))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_35 = e3) | (all_10_21 = e2 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_38 = e3) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_24 = e2 & ~ (unit = e3))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_41 = e3) | (all_10_27 = e2 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_44 = e3) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_16 = e1 & ~ (unit = e3))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_47 = e3) | (all_10_18 = e1 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_50 = e3) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_52 = e3) | (all_10_24 = e1 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_55 = e3) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_27 = e1 & ~ (unit = e3))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_58 = e3) | (all_10_16 = e0 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_61 = e3) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_18 = e0 & ~ (unit = e3))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_64 = e3) | (all_10_21 = e0 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_67 = e3) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_24 = e0 & ~ (unit = e3))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_69 = e3) | (all_10_27 = e0 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e3)))) % 81.05/11.95 | | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | | REF_CLOSE: (350), (354), (487), (526), (1496), (1876) are % 81.05/11.95 | | | | | | | | | | | | | | | | inconsistent by sub-proof #184. % 81.05/11.95 | | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | Case 2: % 81.05/11.95 | | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | | (1877) (( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_4 = e2) | (all_10_33 % 81.05/11.95 | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2))) & ( ~ (all_10_7 = % 81.05/11.95 | | | | | | | | | | | | | | | | e2) | (all_10_35 = e4 & ~ (unit = e2))) & ( % 81.05/11.95 | | | | | | | | | | | | | | | | ~ (all_10_10 = e2) | (all_10_38 = e4 & ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (unit = e2))) & ( ~ (all_10_13 = e2) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_41 = e4 & ~ (unit = e2))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_16 = e2) | (all_10_30 = e3 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_18 = e2) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_33 = e3 & ~ (unit = e2))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_21 = e2) | (all_10_35 = e3 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_24 = e2) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_30 = e2) | ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_33 = e2) | ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_35 = e2) | ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_38 = e2) | ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_41 = e2) | ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_44 = e2) | (all_10_30 = % 81.05/11.95 | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_47 = e2) % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_33 = e1 & ~ (unit = e2))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_50 = e2) | (all_10_35 = e1 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_52 = e2) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_38 = e1 & ~ (unit = e2))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_55 = e2) | (all_10_41 = e1 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_58 = e2) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_64 = e2) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_35 = e0 & ~ (unit = e2))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_67 = e2) | (all_10_38 = e0 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_69 = e2) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_41 = e0 & ~ (unit = e2)))) | (( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = % 81.05/11.95 | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_55 = e4 & ~ (unit = e1))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_18 = e1) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_47 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_24 = e1) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_30 = e1) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_35 = e1) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_50 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_41 = e1) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_61 = e1) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_47 = e0 & ~ (unit = e1))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_64 = e1) | (all_10_50 = e0 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_67 = e1) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_52 = e0 & ~ (unit = e1))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_69 = e1) | (all_10_55 = e0 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e1)))) | (( ~ (all_10_1 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = % 81.05/11.95 | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_16 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_21 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_27 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_33 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_38 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_44 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_50 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_55 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_58 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_61 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | (all_10_69 = e0) | ~ (unit = e0))) % 81.05/11.95 | | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | | BETA: splitting (1877) gives: % 81.05/11.95 | | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | | Case 1: % 81.05/11.95 | | | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | | | (1878) ( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_4 = e2) | (all_10_33 = % 81.05/11.95 | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_7 = e2) | % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_35 = e4 & ~ (unit = e2))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_13 = e2) | (all_10_41 = % 81.05/11.95 | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_16 = e2) | % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_30 = e3 & ~ (unit = e2))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_18 = e2) | (all_10_33 = e3 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_21 = e2) | (all_10_35 = % 81.05/11.95 | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_24 = e2) | % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_30 = e2) | ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_33 = e2) | ~ (unit = e2)) % 81.05/11.95 | | | | | | | | | | | | | | | | | & ( ~ (all_10_35 = e2) | ~ (unit = e2)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_38 = e2) | ~ (unit = e2)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_41 = e2) | ~ (unit = e2)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_44 = e2) | (all_10_30 = e1 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_47 = e2) | (all_10_33 = % 81.05/11.95 | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_50 = e2) | % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_35 = e1 & ~ (unit = e2))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_52 = e2) | (all_10_38 = e1 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_55 = e2) | (all_10_41 = % 81.05/11.95 | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_58 = e2) | % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_64 = e2) | (all_10_35 = % 81.05/11.95 | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_67 = e2) | % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_38 = e0 & ~ (unit = e2))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | e2))) % 81.05/11.95 | | | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | | | ALPHA: (1878) implies: % 81.05/11.95 | | | | | | | | | | | | | | | | | (1879) ~ (all_10_13 = e2) | (all_10_41 = e4 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | e2)) % 81.05/11.95 | | | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | | | REF_CLOSE: (316), (532), (1486), (1879) are inconsistent by % 81.05/11.95 | | | | | | | | | | | | | | | | | sub-proof #183. % 81.05/11.95 | | | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | | Case 2: % 81.05/11.95 | | | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | | | (1880) (( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_4 = e1) | (all_10_47 % 81.05/11.95 | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1))) & ( ~ (all_10_7 = % 81.05/11.95 | | | | | | | | | | | | | | | | | e1) | (all_10_50 = e4 & ~ (unit = e1))) & ( % 81.05/11.95 | | | | | | | | | | | | | | | | | ~ (all_10_10 = e1) | (all_10_52 = e4 & ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (unit = e1))) & ( ~ (all_10_13 = e1) | % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_55 = e4 & ~ (unit = e1))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_18 = e1) | % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_47 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_24 = e1) | % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_30 = e1) | % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_35 = e1) | % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_50 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_41 = e1) | % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_61 = e1) | % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_47 = e0 & ~ (unit = e1))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_64 = e1) | (all_10_50 = e0 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_67 = e1) | % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_52 = e0 & ~ (unit = e1))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_69 = e1) | (all_10_55 = e0 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | | = e1)))) | (( ~ (all_10_1 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = % 81.05/11.95 | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_16 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_21 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_27 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_33 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_38 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_44 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_50 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit % 81.05/11.95 | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_55 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_58 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_61 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | (all_10_69 = e0) | ~ (unit = e0))) % 81.05/11.95 | | | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | | | BETA: splitting (1880) gives: % 81.05/11.95 | | | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.95 | | | | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | | | | (1881) ( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) | % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_13 = e1) | (all_10_55 = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_16 = e1) | % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_44 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_47 = e3 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_50 = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_24 = e1) | % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_30 = e1) | (all_10_44 = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_33 = e1) | % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_47 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_35 = e1) | (all_10_50 = e2 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_38 = e1) | (all_10_52 = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_41 = e1) | % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_61 = e1) | (all_10_47 = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_64 = e1) | % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_50 = e0 & ~ (unit = e1))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_67 = e1) | (all_10_52 = e0 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_69 = e1) | (all_10_55 = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) % 81.05/11.95 | | | | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | | | | ALPHA: (1881) implies: % 81.05/11.95 | | | | | | | | | | | | | | | | | | (1882) ~ (all_10_4 = e1) | (all_10_47 = e4 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e1)) % 81.05/11.95 | | | | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | | | | REF_CLOSE: (370), (486), (1870), (1882) are inconsistent by % 81.05/11.95 | | | | | | | | | | | | | | | | | | sub-proof #182. % 81.05/11.95 | | | | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.95 | | | | | | | | | | | | | | | | | | % 81.05/11.95 | | | | | | | | | | | | | | | | | | (1883) ( ~ (all_10_1 = e0) | (all_10_58 = e4 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_4 = e0) | (all_10_61 = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_7 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_64 = e4 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_10 = e0) | (all_10_67 = e4 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_13 = e0) | (all_10_69 = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_16 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_64 = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_24 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_67 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_27 = e0) | (all_10_69 = e3 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_30 = e0) | (all_10_58 = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_33 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_38 = e0) | (all_10_67 = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_41 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_69 = e2 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_44 = e0) | (all_10_58 = e1 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_47 = e0) | (all_10_61 = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_50 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_55 = e0) | (all_10_69 = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_58 = e0) | % 81.05/11.95 | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_61 = e0) | ~ % 81.05/11.95 | | | | | | | | | | | | | | | | | | (unit = e0)) & ( ~ (all_10_64 = e0) | ~ (unit = % 81.05/11.95 | | | | | | | | | | | | | | | | | | e0)) & ( ~ (all_10_67 = e0) | ~ (unit = e0)) % 81.05/11.96 | | | | | | | | | | | | | | | | | | & ( ~ (all_10_69 = e0) | ~ (unit = e0)) % 81.05/11.96 | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | ALPHA: (1883) implies: % 81.05/11.96 | | | | | | | | | | | | | | | | | | (1884) ~ (all_10_50 = e0) | (all_10_64 = e1 & ~ (unit = % 81.05/11.96 | | | | | | | | | | | | | | | | | | e0)) % 81.05/11.96 | | | | | | | | | | | | | | | | | | (1885) ~ (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit = % 81.05/11.96 | | | | | | | | | | | | | | | | | | e0)) % 81.05/11.96 | | | | | | | | | | | | | | | | | | (1886) ~ (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit = % 81.05/11.96 | | | | | | | | | | | | | | | | | | e0)) % 81.05/11.96 | | | | | | | | | | | | | | | | | | (1887) ~ (all_10_33 = e0) | (all_10_61 = e2 & ~ (unit = % 81.05/11.96 | | | | | | | | | | | | | | | | | | e0)) % 81.05/11.96 | | | | | | | | | | | | | | | | | | (1888) ~ (all_10_21 = e0) | (all_10_64 = e3 & ~ (unit = % 81.05/11.96 | | | | | | | | | | | | | | | | | | e0)) % 81.05/11.96 | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | BETA: splitting (1885) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | (1889) ~ (all_10_47 = e0) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | REDUCE: (486), (1889) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | (1890) ~ (all_4_16 = e0) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (1888) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | (1891) ~ (all_10_21 = e0) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (1891) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | (1892) ~ (all_4_7 = e0) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1836) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | (1893) all_6_11 = e2 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (1822), (1893) are inconsistent by % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | sub-proof #150. % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | (1894) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1894) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | (1895) all_6_11 = e3 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (521), (1895) are inconsistent by sub-proof % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | #149. % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | (1896) all_6_11 = e1 | all_6_11 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1875) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | (1897) all_8_21 = e4 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (406), (1867), (1897) are inconsistent by % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #136. % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | (1898) all_8_22 = e4 | all_8_23 = e4 | all_8_24 = e4 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1898) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | (1899) all_8_22 = e4 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (1899) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | (1900) all_4_14 = e4 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1900) implies: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | (1901) all_4_14 = e4 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (532), (1901) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | (1902) $false % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1902) is inconsistent. % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | (1903) all_8_23 = e4 | all_8_24 = e4 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1896) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | (1904) all_6_11 = e1 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (1904) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | (1905) all_4_7 = e1 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1905) implies: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | (1906) all_4_7 = e1 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (1906) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | (1907) ~ (all_4_8 = e1) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1907) implies: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | (1908) ~ (all_4_8 = e1) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (1906) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | (1909) ~ (all_4_17 = e1) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1909) implies: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | (1910) ~ (all_4_17 = e1) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (1906) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | (1911) ~ (all_4_22 = e1) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1911) implies: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | (1912) ~ (all_4_22 = e1) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (526), (1906) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | (1913) ~ (e4 = e1) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (1906) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | (1914) op(e3, e1) = all_10_19 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1903) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) all_8_23 = e4 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (1915) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) all_4_19 = e4 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1916) implies: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) all_4_19 = e4 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1884) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) ~ (all_10_50 = e0) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (1918) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) ~ (all_4_17 = e0) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) all_8_9 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (1920) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) all_4_15 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1921) implies: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) all_4_15 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (501), (1922) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) $false % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1923) is inconsistent. % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) all_6_13 = e4 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (457), (1925) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) all_4_17 = e4 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (534), (1926) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) $false % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1927) is inconsistent. % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_13 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1924) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) all_8_10 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (358), (1890), (1929) are inconsistent by % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #72. % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) all_8_11 = e0 | all_8_15 = e0 | all_8_23 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1886) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) ~ (all_10_41 = e0) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (316), (1931) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) ~ (all_4_14 = e0) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1930) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) all_8_11 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (1933) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) all_4_17 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1934) implies: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) all_4_17 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1919), (1935) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) $false % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1936) is inconsistent. % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) all_8_15 = e0 | all_8_23 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1937) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) all_8_15 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (1938) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) all_4_18 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1939) implies: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) all_4_18 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (1940) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) ~ (all_4_13 = e0) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1468), (1940) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) ~ (e4 = e0) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1943) all_6_16 = e4 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (461), (1466), (1943) are inconsistent by % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #71. % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1928) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1945) all_6_13 = e2 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (457), (1945) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1946) all_4_17 = e2 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1946) implies: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1947) all_4_17 = e2 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (1947) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1948) ~ (all_4_16 = e2) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (172) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1949) all_6_8 = e4 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (1949) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1950) all_4_16 = e4 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1950) implies: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1951) all_4_16 = e4 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1870), (1951) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1952) $false % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1952) is inconsistent. % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_8 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1944) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) all_6_16 = e2 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (461), (1824), (1954) are inconsistent by % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70. % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) all_6_16 = e3 | all_6_16 = e1 | all_6_16 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1457) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) all_8_20 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1485), (1831), (1956) are inconsistent by % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #84. % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) all_8_21 = e0 | all_8_22 = e0 | all_8_23 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1958) all_8_4 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (1958) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1959) all_4_10 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (499), (1959) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1960) $false % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1960) is inconsistent. % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1961) all_8_5 = e0 | all_8_8 = e0 | all_8_14 = e0 | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_22 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1961) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1962) all_8_5 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (1962) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1963) all_4_11 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (363), (1963) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1964) all_10_33 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1833), (1963) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1965) all_10_14 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (46), (1963) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966) ~ (all_4_14 = e0) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (1963) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1967) ~ (all_4_16 = e0) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (1963) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1968) ~ (all_4_21 = e0) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1968) implies: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1969) ~ (all_4_21 = e0) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1957) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1970) all_8_21 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (1970) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1971) all_4_9 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1971) implies: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1972) all_4_9 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (61), (1972) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) ~ (all_4_8 = e0) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (1972) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) op(e3, e0) = all_10_25 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1953) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) all_6_8 = e2 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (1948), (1975) are inconsistent by % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #69. % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1976) all_6_8 = e3 | all_6_8 = e1 | all_6_8 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1887) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1977) ~ (all_10_33 = e0) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1964), (1977) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1978) $false % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1978) is inconsistent. % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1979) all_10_61 = e2 & ~ (unit = e0) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1979) implies: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) all_10_61 = e2 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (357), (1980) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1981) all_4_21 = e2 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1981) implies: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1982) all_4_21 = e2 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (1982) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1983) op(e3, e0) = e2 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1955) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1984) all_6_16 = e3 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (1984) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1985) all_4_8 = e3 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1985) implies: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1986) all_4_8 = e3 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (545), (1986) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1987) op(e3, e3) = all_10_22 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1976) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1988) all_6_8 = e3 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (1988) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1989) all_4_16 = e3 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1989) implies: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1990) all_4_16 = e3 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (124), (1990) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1991) op(e3, e1) = e3 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_25, e0, e3, simplifying with (1974), (1983) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1992) all_10_25 = e2 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_19, e1, e3, simplifying with (1914), (1991) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1993) all_10_19 = e3 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_22, e3, e3, simplifying with (1871), (1987) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1994) all_10_22 = e4 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1995) (all_10_14 = e4 & ~ (all_10_15 = e3)) | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e2 & ~ (all_10_20 = e3)) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1995) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1996) all_10_14 = e4 & ~ (all_10_15 = e3) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1996) implies: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1997) all_10_14 = e4 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1965), (1997) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) e4 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1998) implies: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) e4 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1856), (1999) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) $false % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2000) is inconsistent. % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) all_10_19 = e2 & ~ (all_10_20 = e3) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2001) implies: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) all_10_19 = e2 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1993), (2002) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) e3 = e2 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1496), (2003) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) $false % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2004) is inconsistent. % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) (all_10_22 = e1 & ~ (all_10_23 = e3)) | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_25 = e0 & ~ (all_10_26 = e3)) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2005) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) all_10_22 = e1 & ~ (all_10_23 = e3) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2006) implies: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) all_10_22 = e1 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1994), (2007) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) e4 = e1 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1472), (2008) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) $false % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2009) is inconsistent. % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) all_10_25 = e0 & ~ (all_10_26 = e3) % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2010) implies: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) all_10_25 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1992), (2011) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) e2 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1831), (2012) imply: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) $false % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2013) is inconsistent. % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014) all_6_8 = e1 | all_6_8 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (513), (1890), (2014) are inconsistent by % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #172. % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2015) all_6_16 = e1 | all_6_16 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (461), (1908), (1973), (2015) are inconsistent by % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #68. % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2016) all_8_22 = e0 | all_8_23 = e0 % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2016) gives: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2017) all_8_22 = e0 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (415), (1932), (2017) are inconsistent by % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #90. % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2018) all_8_23 = e0 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1856), (1915), (2018) are inconsistent by % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #80. % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2019) all_8_8 = e0 | all_8_14 = e0 | all_8_22 = e0 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (345), (414), (415), (1856), (1932), (1941), % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2019) are inconsistent by sub-proof #89. % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2020) all_6_13 = e3 | all_6_13 = e1 | all_6_13 = e0 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (457), (523), (1910), (1919), (2020) are % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #110. % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2021) all_8_23 = e0 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1856), (1915), (2021) are inconsistent by % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #80. % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2022) all_10_69 = e2 & ~ (unit = e0) % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (310), (1492), (2022) are inconsistent by % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #67. % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2023) all_10_64 = e1 & ~ (unit = e0) % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (340), (1912), (2023) are inconsistent by % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #66. % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (2024) all_8_24 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (436), (1844), (2024) are inconsistent by % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #65. % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | (2025) all_6_11 = e0 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (1892), (2025) are inconsistent by % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #143. % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | (2026) all_10_64 = e3 & ~ (unit = e0) % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (340), (525), (2026) are inconsistent by sub-proof % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | #142. % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | (2027) all_10_61 = e1 & ~ (unit = e0) % 81.05/11.97 | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (357), (515), (2027) are inconsistent by sub-proof % 81.05/11.97 | | | | | | | | | | | | | | | | | | | #170. % 81.05/11.97 | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | End of split % 81.05/11.97 | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | Case 2: % 81.05/11.97 | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | (2028) ~ (all_6_6 = e4) % 81.05/11.97 | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | REDUCE: (443), (2028) imply: % 81.05/11.97 | | | | | | | | | | | | | | (2029) ~ (all_4_6 = e4) % 81.05/11.97 | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | BETA: splitting (231) gives: % 81.05/11.97 | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | Case 1: % 81.05/11.97 | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | (2030) all_8_2 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | REF_CLOSE: (390), (1472), (2030) are inconsistent by % 81.05/11.97 | | | | | | | | | | | | | | | sub-proof #181. % 81.05/11.97 | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | Case 2: % 81.05/11.97 | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | (2031) all_8_3 = e4 | all_8_5 = e4 | all_8_10 = e4 | % 81.05/11.97 | | | | | | | | | | | | | | | all_8_17 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | BETA: splitting (2031) gives: % 81.05/11.97 | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | Case 1: % 81.05/11.97 | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | (2032) all_8_3 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (2032) imply: % 81.05/11.97 | | | | | | | | | | | | | | | | (2033) all_4_6 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | REDUCE: (2029), (2033) imply: % 81.05/11.97 | | | | | | | | | | | | | | | | (2034) $false % 81.05/11.97 | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | CLOSE: (2034) is inconsistent. % 81.05/11.97 | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | Case 2: % 81.05/11.97 | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | (2035) ~ (all_8_3 = e4) % 81.05/11.97 | | | | | | | | | | | | | | | | (2036) all_8_5 = e4 | all_8_10 = e4 | all_8_17 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | BETA: splitting (2036) gives: % 81.05/11.97 | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | Case 1: % 81.05/11.97 | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | (2037) all_8_5 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (2037) imply: % 81.05/11.97 | | | | | | | | | | | | | | | | | (2038) all_4_11 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | REDUCE: (528), (2038) imply: % 81.05/11.97 | | | | | | | | | | | | | | | | | (2039) $false % 81.05/11.97 | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | CLOSE: (2039) is inconsistent. % 81.05/11.97 | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | Case 2: % 81.05/11.97 | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | (2040) all_8_10 = e4 | all_8_17 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | BETA: splitting (1848) gives: % 81.05/11.97 | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.97 | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | (2041) all_8_3 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (2041) imply: % 81.05/11.97 | | | | | | | | | | | | | | | | | | (2042) all_4_6 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | REDUCE: (2029), (2042) imply: % 81.05/11.97 | | | | | | | | | | | | | | | | | | (2043) $false % 81.05/11.97 | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | CLOSE: (2043) is inconsistent. % 81.05/11.97 | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.97 | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | (2044) all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | BETA: splitting (2040) gives: % 81.05/11.97 | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | (2045) all_8_10 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (358), (2045) imply: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | (2046) all_4_16 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | SIMP: (2046) implies: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | (2047) all_4_16 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | REDUCE: (548), (2047) imply: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | (2048) op(e3, e4) = all_10_46 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | REDUCE: (124), (2047) imply: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | (2049) op(e3, e1) = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | REDUCE: (561), (2047) imply: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | (2050) op(e1, e4) = all_10_45 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | BETA: splitting (2044) gives: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | (2051) all_8_7 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (402), (526), (2051) are inconsistent by sub-proof % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | #138. % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | (2052) all_8_13 = e4 | all_8_21 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2052) gives: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | (2053) all_8_13 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (403), (1466), (2053) are inconsistent by % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | sub-proof #137. % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | (2054) all_8_21 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (2054) imply: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | (2055) all_4_9 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | SIMP: (2055) implies: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | (2056) all_4_9 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (2056) imply: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | (2057) ~ (all_4_19 = e4) % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | SIMP: (2057) implies: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | (2058) ~ (all_4_19 = e4) % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | REDUCE: (546), (2056) imply: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | (2059) op(e3, e4) = all_10_25 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | all_10_45, e4, e1, simplifying with (1475), (2050) % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | gives: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | (2060) all_10_45 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | all_10_25, e4, e3, simplifying with (6), (2059) % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | gives: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | (2061) all_10_25 = e1 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_10_46, % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | all_10_25, e4, e3, simplifying with (2048), (2059) % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | gives: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | (2062) all_10_25 = all_10_46 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2061), (2062) imply: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | (2063) all_10_46 = e1 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | (2064) (all_10_14 = e4 & ~ (all_10_15 = e3)) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | (all_10_19 = e2 & ~ (all_10_20 = e3)) % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2064) gives: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | (2065) all_10_14 = e4 & ~ (all_10_15 = e3) % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2065) implies: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | (2066) all_10_14 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1833), (2066) imply: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | (2067) all_4_11 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2067) implies: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | (2068) all_4_11 = e4 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (528), (2068) imply: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | (2069) $false % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2069) is inconsistent. % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | (2070) all_10_19 = e2 & ~ (all_10_20 = e3) % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2070) implies: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | (2071) all_10_19 = e2 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (544), (2071) imply: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | (2072) op(e3, all_4_7) = e2 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | (2073) all_8_0 = e1 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (2073) imply: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | (2074) e1 = e0 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (2074) imply: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | (2075) $false % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2075) is inconsistent. % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | (2076) all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | all_8_16 = e1 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | (2077) all_8_6 = e2 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (392), (1496), (2077) are inconsistent by % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #163. % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | (2078) ~ (all_8_6 = e2) % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | (2079) all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e2 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) (( ~ (all_10_1 = e4) | ~ (unit = e4)) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e4) | ~ (unit = e4)) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4) | ~ (unit = e4)) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e4) | ~ (unit = e4)) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e4) | ~ (unit = e4)) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e4) | (all_10_1 = e3 & ~ (unit = % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_18 = e4) | (all_10_4 = % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_21 = e4) % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3 & ~ (unit = e4))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e4) | (all_10_10 = e3 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_27 = e4) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e3 & ~ (unit = e4))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e4) | (all_10_1 = e2 & ~ (unit = % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_33 = e4) | (all_10_4 = % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e4))) & ( ~ (all_10_35 = e4) % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e2 & ~ (unit = e4))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e4) | (all_10_10 = e2 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_41 = e4) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e2 & ~ (unit = e4))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e4) | (all_10_1 = e1 & ~ (unit = % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_47 = e4) | (all_10_4 = % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e4))) & ( ~ (all_10_50 = e4) % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e1 & ~ (unit = e4))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e4) | (all_10_10 = e1 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_55 = e4) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e4))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e4) | (all_10_1 = e0 & ~ (unit = % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_61 = e4) | (all_10_4 = % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4))) & ( ~ (all_10_64 = e4) % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e0 & ~ (unit = e4))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e4) | (all_10_10 = e0 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_69 = e4) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0 & ~ (unit = e4)))) | (( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_16 = e4 & ~ (unit = % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_4 = e3) | (all_10_18 = % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e3))) & ( ~ (all_10_7 = e3) % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e4 & ~ (unit = e3))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e3) | (all_10_24 = e4 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_13 = e3) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e4 & ~ (unit = e3))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e3) | ~ (unit = e3)) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e3) | ~ (unit = e3)) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e3) | ~ (unit = e3)) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3) | ~ (unit = e3)) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e3) | ~ (unit = e3)) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e3) | (all_10_16 = e2 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_33 = e3) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e2 & ~ (unit = e3))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e3) | (all_10_21 = e2 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_38 = e3) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e2 & ~ (unit = e3))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_41 = e3) | (all_10_27 = e2 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_44 = e3) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1 & ~ (unit = e3))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e3) | (all_10_18 = e1 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_50 = e3) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e3) | (all_10_24 = e1 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_55 = e3) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e1 & ~ (unit = e3))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e3) | (all_10_16 = e0 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_61 = e3) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0 & ~ (unit = e3))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e3) | (all_10_21 = e0 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_67 = e3) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e0 & ~ (unit = e3))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e3) | (all_10_27 = e0 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)))) % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (350), (354), (487), (526), (1496), (2080) are % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #184. % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (2081) (( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_4 = e2) | (all_10_33 % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2))) & ( ~ (all_10_7 = % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | (all_10_35 = e4 & ~ (unit = e2))) & ( % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_10 = e2) | (all_10_38 = e4 & ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (unit = e2))) & ( ~ (all_10_13 = e2) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_41 = e4 & ~ (unit = e2))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e2) | (all_10_30 = e3 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_18 = e2) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_33 = e3 & ~ (unit = e2))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e2) | (all_10_35 = e3 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_24 = e2) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_30 = e2) | ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_33 = e2) | ~ (unit = % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_35 = e2) | ~ (unit = % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_38 = e2) | ~ (unit = % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_41 = e2) | ~ (unit = % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_44 = e2) | (all_10_30 = % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_47 = e2) % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_33 = e1 & ~ (unit = e2))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e2) | (all_10_35 = e1 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_52 = e2) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e1 & ~ (unit = e2))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e2) | (all_10_41 = e1 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_58 = e2) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_64 = e2) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e0 & ~ (unit = e2))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e2) | (all_10_38 = e0 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_69 = e2) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_41 = e0 & ~ (unit = e2)))) | (( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e4 & ~ (unit = e1))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_18 = e1) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_24 = e1) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_30 = e1) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_35 = e1) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_41 = e1) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_61 = e1) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e0 & ~ (unit = e1))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e1) | (all_10_50 = e0 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_67 = e1) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0 & ~ (unit = e1))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e1) | (all_10_55 = e0 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)))) | (( ~ (all_10_1 = e0) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_16 = e0) | % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_21 = e0) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_27 = e0) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_33 = e0) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_38 = e0) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_44 = e0) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_50 = e0) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_55 = e0) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e0) | ~ (unit = e0))) % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2081) gives: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082) ( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_4 = e2) | (all_10_33 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_7 = e2) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e4 & ~ (unit = e2))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_13 = e2) | (all_10_41 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_16 = e2) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e3 & ~ (unit = e2))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e2) | (all_10_33 = e3 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_21 = e2) | (all_10_35 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_24 = e2) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_30 = e2) | ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_33 = e2) | ~ (unit = e2)) % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_10_35 = e2) | ~ (unit = e2)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e2) | ~ (unit = e2)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_41 = e2) | ~ (unit = e2)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e2) | (all_10_30 = e1 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_47 = e2) | (all_10_33 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_50 = e2) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e1 & ~ (unit = e2))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e2) | (all_10_38 = e1 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_55 = e2) | (all_10_41 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_58 = e2) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_64 = e2) | (all_10_35 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_67 = e2) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e0 & ~ (unit = e2))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2082) implies: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2083) ~ (all_10_13 = e2) | (all_10_41 = e4 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (316), (532), (1486), (2083) are inconsistent by % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #183. % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2084) (( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_4 = e1) | (all_10_47 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1))) & ( ~ (all_10_7 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | (all_10_50 = e4 & ~ (unit = e1))) & ( % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_10 = e1) | (all_10_52 = e4 & ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (unit = e1))) & ( ~ (all_10_13 = e1) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e4 & ~ (unit = e1))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_18 = e1) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_24 = e1) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_30 = e1) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_35 = e1) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_41 = e1) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_61 = e1) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e0 & ~ (unit = e1))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e1) | (all_10_50 = e0 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_67 = e1) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0 & ~ (unit = e1))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e1) | (all_10_55 = e0 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)))) | (( ~ (all_10_1 = e0) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_16 = e0) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_21 = e0) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_27 = e0) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_33 = e0) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_38 = e0) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_44 = e0) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_50 = e0) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_55 = e0) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e0) | ~ (unit = e0))) % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2084) gives: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) ( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_13 = e1) | (all_10_55 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_16 = e1) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_47 = e3 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_50 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_24 = e1) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_30 = e1) | (all_10_44 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_33 = e1) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e1) | (all_10_50 = e2 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_38 = e1) | (all_10_52 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_41 = e1) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_61 = e1) | (all_10_47 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_64 = e1) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e0 & ~ (unit = e1))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e1) | (all_10_52 = e0 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_69 = e1) | (all_10_55 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (32), (33), (38), (52), (222), (225), (313), % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (316), (328), (331), (343), (345), (350), (376), % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (379), (392), (402), (407), (410), (414), (415), % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (418), (422), (444), (499), (511), (523), (530), % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1468), (1472), (1490), (1818), (1822), (1828), % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830), (1838), (1851), (2076), (2079), (2085) are % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #151. % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2086) ( ~ (all_10_1 = e0) | (all_10_58 = e4 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_4 = e0) | (all_10_61 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_7 = e0) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e4 & ~ (unit = e0))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e0) | (all_10_67 = e4 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_13 = e0) | (all_10_69 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_16 = e0) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_64 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_24 = e0) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e0) | (all_10_69 = e3 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_30 = e0) | (all_10_58 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_33 = e0) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_38 = e0) | (all_10_67 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_41 = e0) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e2 & ~ (unit = e0))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e0) | (all_10_58 = e1 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_47 = e0) | (all_10_61 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_50 = e0) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_55 = e0) | (all_10_69 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_58 = e0) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_61 = e0) | ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (unit = e0)) & ( ~ (all_10_64 = e0) | ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0)) & ( ~ (all_10_67 = e0) | ~ (unit = e0)) % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_10_69 = e0) | ~ (unit = e0)) % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2086) implies: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2087) ~ (all_10_21 = e0) | (all_10_64 = e3 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0)) % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2087) gives: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2088) ~ (all_10_21 = e0) % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (2088) imply: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2089) ~ (all_4_7 = e0) % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1836) gives: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2090) all_6_11 = e2 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (1822), (2090) are inconsistent by % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #150. % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2091) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2091) gives: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2092) all_6_11 = e3 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (521), (2092) are inconsistent by sub-proof % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #149. % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2093) all_6_11 = e1 | all_6_11 = e0 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2093) gives: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2094) all_6_11 = e1 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (2094) imply: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095) all_4_7 = e1 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2095) implies: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2096) all_4_7 = e1 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2072), (2096) imply: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097) op(e3, e1) = e2 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e2, e1, % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (2049), (2097) gives: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2098) e4 = e2 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1494), (2098) imply: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099) $false % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2099) is inconsistent. % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2100) all_6_11 = e0 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (2089), (2100) are inconsistent by % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #143. % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2101) all_10_64 = e3 & ~ (unit = e0) % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (340), (525), (2101) are inconsistent by sub-proof % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #142. % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | End of split % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | (2102) (all_10_22 = e1 & ~ (all_10_23 = e3)) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | (all_10_25 = e0 & ~ (all_10_26 = e3)) % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2102) gives: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | (2103) all_10_22 = e1 & ~ (all_10_23 = e3) % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2103) implies: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | (2104) all_10_22 = e1 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (545), (2104) imply: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | (2105) op(e3, all_4_8) = e1 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (169) gives: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | (2106) all_6_13 = e4 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (457), (534), (2106) are inconsistent by sub-proof % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | #123. % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | (2107) all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | all_6_13 = e0 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | (2108) all_8_0 = e1 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (2108) imply: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | (2109) e1 = e0 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (2109) imply: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | (2110) $false % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2110) is inconsistent. % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | (2111) all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16 = e1 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (2112) all_6_22 = e4 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (532), (2112) are inconsistent by sub-proof % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | #125. % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (2113) ~ (all_6_22 = e4) % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (2114) all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e1 | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_22 = e0 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2115) all_8_6 = e2 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (392), (1496), (2115) are inconsistent by % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #163. % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2116) ~ (all_8_6 = e2) % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2117) all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e2 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (171) gives: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2118) all_6_9 = e4 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (2118) imply: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2119) all_4_21 = e4 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2119) implies: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2120) all_4_21 = e4 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1854), (2120) imply: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2121) $false % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2121) is inconsistent. % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2122) all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1 | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_9 = e0 % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2123) (( ~ (all_10_1 = e4) | ~ (unit = e4)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e4) | ~ (unit = e4)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4) | ~ (unit = e4)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e4) | ~ (unit = e4)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e4) | ~ (unit = e4)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e4) | (all_10_1 = e3 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_18 = e4) | (all_10_4 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_21 = e4) % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3 & ~ (unit = e4))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e4) | (all_10_10 = e3 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_27 = e4) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e3 & ~ (unit = e4))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e4) | (all_10_1 = e2 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_33 = e4) | (all_10_4 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e4))) & ( ~ (all_10_35 = e4) % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e2 & ~ (unit = e4))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e4) | (all_10_10 = e2 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_41 = e4) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e2 & ~ (unit = e4))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e4) | (all_10_1 = e1 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_47 = e4) | (all_10_4 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e4))) & ( ~ (all_10_50 = e4) % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e1 & ~ (unit = e4))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e4) | (all_10_10 = e1 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_55 = e4) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e4))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e4) | (all_10_1 = e0 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_61 = e4) | (all_10_4 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4))) & ( ~ (all_10_64 = e4) % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e0 & ~ (unit = e4))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e4) | (all_10_10 = e0 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_69 = e4) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0 & ~ (unit = e4)))) | (( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_16 = e4 & ~ (unit = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_4 = e3) | (all_10_18 = % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e3))) & ( ~ (all_10_7 = e3) % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e4 & ~ (unit = e3))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e3) | (all_10_24 = e4 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_13 = e3) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e4 & ~ (unit = e3))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e3) | ~ (unit = e3)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e3) | ~ (unit = e3)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e3) | ~ (unit = e3)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3) | ~ (unit = e3)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e3) | ~ (unit = e3)) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e3) | (all_10_16 = e2 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_33 = e3) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e2 & ~ (unit = e3))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e3) | (all_10_21 = e2 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_38 = e3) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e2 & ~ (unit = e3))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_41 = e3) | (all_10_27 = e2 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_44 = e3) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1 & ~ (unit = e3))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e3) | (all_10_18 = e1 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_50 = e3) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e3) | (all_10_24 = e1 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_55 = e3) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e1 & ~ (unit = e3))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e3) | (all_10_16 = e0 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_61 = e3) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0 & ~ (unit = e3))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e3) | (all_10_21 = e0 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_67 = e3) | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e0 & ~ (unit = e3))) & ( ~ % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e3) | (all_10_27 = e0 & ~ (unit % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e3)))) % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (350), (354), (487), (526), (1496), (2123) are % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #184. % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2124) (( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_4 = e2) | (all_10_33 % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2))) & ( ~ (all_10_7 = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2) | (all_10_35 = e4 & ~ (unit = e2))) & ( % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_10 = e2) | (all_10_38 = e4 & ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (unit = e2))) & ( ~ (all_10_13 = e2) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_41 = e4 & ~ (unit = e2))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e2) | (all_10_30 = e3 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_18 = e2) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_33 = e3 & ~ (unit = e2))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e2) | (all_10_35 = e3 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_24 = e2) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_30 = e2) | ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_33 = e2) | ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_35 = e2) | ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_38 = e2) | ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_41 = e2) | ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_44 = e2) | (all_10_30 = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_47 = e2) % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_33 = e1 & ~ (unit = e2))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e2) | (all_10_35 = e1 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_52 = e2) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e1 & ~ (unit = e2))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e2) | (all_10_41 = e1 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_58 = e2) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_64 = e2) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e0 & ~ (unit = e2))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e2) | (all_10_38 = e0 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_69 = e2) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_41 = e0 & ~ (unit = e2)))) | (( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e4 & ~ (unit = e1))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_18 = e1) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_24 = e1) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_30 = e1) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_35 = e1) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_41 = e1) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_61 = e1) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e0 & ~ (unit = e1))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e1) | (all_10_50 = e0 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_67 = e1) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0 & ~ (unit = e1))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e1) | (all_10_55 = e0 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)))) | (( ~ (all_10_1 = e0) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_16 = e0) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_21 = e0) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_27 = e0) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_33 = e0) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_38 = e0) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_44 = e0) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_50 = e0) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_55 = e0) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e0) | ~ (unit = e0))) % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2124) gives: % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2125) ( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_4 = e2) | (all_10_33 = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_7 = e2) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e4 & ~ (unit = e2))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_13 = e2) | (all_10_41 = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_16 = e2) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e3 & ~ (unit = e2))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e2) | (all_10_33 = e3 & ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_21 = e2) | (all_10_35 = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_24 = e2) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_30 = e2) | ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_33 = e2) | ~ (unit = e2)) % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_10_35 = e2) | ~ (unit = e2)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e2) | ~ (unit = e2)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_41 = e2) | ~ (unit = e2)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e2) | (all_10_30 = e1 & ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_47 = e2) | (all_10_33 = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_50 = e2) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e1 & ~ (unit = e2))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e2) | (all_10_38 = e1 & ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_55 = e2) | (all_10_41 = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_58 = e2) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_64 = e2) | (all_10_35 = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_67 = e2) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e0 & ~ (unit = e2))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2))) % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2125) implies: % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2126) ~ (all_10_13 = e2) | (all_10_41 = e4 & ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2)) % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (316), (532), (1486), (2126) are inconsistent by % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #183. % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2127) (( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_4 = e1) | (all_10_47 % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1))) & ( ~ (all_10_7 = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1) | (all_10_50 = e4 & ~ (unit = e1))) & ( % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_10 = e1) | (all_10_52 = e4 & ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (unit = e1))) & ( ~ (all_10_13 = e1) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e4 & ~ (unit = e1))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_18 = e1) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_24 = e1) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_30 = e1) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_35 = e1) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_41 = e1) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_61 = e1) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e0 & ~ (unit = e1))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e1) | (all_10_50 = e0 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_67 = e1) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0 & ~ (unit = e1))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e1) | (all_10_55 = e0 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e1)))) | (( ~ (all_10_1 = e0) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_16 = e0) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_21 = e0) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_27 = e0) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_33 = e0) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_38 = e0) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_44 = e0) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_50 = e0) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_55 = e0) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e0) | ~ (unit = e0))) % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2127) gives: % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2128) ( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_13 = e1) | (all_10_55 = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_16 = e1) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_47 = e3 & ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_50 = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_24 = e1) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_30 = e1) | (all_10_44 = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_33 = e1) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e1) | (all_10_50 = e2 & ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_38 = e1) | (all_10_52 = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_41 = e1) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_61 = e1) | (all_10_47 = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_64 = e1) | % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e0 & ~ (unit = e1))) & ( ~ % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e1) | (all_10_52 = e0 & ~ (unit = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_69 = e1) | (all_10_55 = % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) % 81.05/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (32), (33), (38), (52), (222), (225), (313), % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (316), (328), (331), (343), (345), (350), (376), % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (379), (392), (402), (407), (410), (414), (415), % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (418), (422), (444), (499), (511), (523), (530), % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1468), (1472), (1490), (1818), (1822), (1828), % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830), (1838), (1851), (2111), (2117), (2128) are % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #151. % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2129) ( ~ (all_10_1 = e0) | (all_10_58 = e4 & ~ (unit = % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_4 = e0) | (all_10_61 = % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_7 = e0) | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e4 & ~ (unit = e0))) & ( ~ % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e0) | (all_10_67 = e4 & ~ (unit = % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_13 = e0) | (all_10_69 = % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_16 = e0) | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit = % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_64 = % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_24 = e0) | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e3 & ~ (unit = e0))) & ( ~ % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e0) | (all_10_69 = e3 & ~ (unit = % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_30 = e0) | (all_10_58 = % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_33 = e0) | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit = % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_38 = e0) | (all_10_67 = % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_41 = e0) | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e2 & ~ (unit = e0))) & ( ~ % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e0) | (all_10_58 = e1 & ~ (unit = % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_47 = e0) | (all_10_61 = % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_50 = e0) | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit = % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_55 = e0) | (all_10_69 = % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_58 = e0) | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_61 = e0) | ~ % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (unit = e0)) & ( ~ (all_10_64 = e0) | ~ (unit = % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0)) & ( ~ (all_10_67 = e0) | ~ (unit = e0)) % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_10_69 = e0) | ~ (unit = e0)) % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2129) implies: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2130) ~ (all_10_55 = e0) | (all_10_69 = e1 & ~ (unit = % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0)) % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2131) ~ (all_10_50 = e0) | (all_10_64 = e1 & ~ (unit = % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0)) % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2132) ~ (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit = % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0)) % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2133) ~ (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit = % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0)) % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2134) ~ (all_10_21 = e0) | (all_10_64 = e3 & ~ (unit = % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0)) % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2135) (all_10_42 = e4 & ~ (all_10_43 = e1)) | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_45 = e3 & ~ (all_10_46 = e1)) % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2135) gives: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2136) all_10_42 = e4 & ~ (all_10_43 = e1) % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2136) implies: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2137) all_10_42 = e4 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (2137) imply: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2138) op(e1, all_4_15) = e4 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2132) gives: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2139) ~ (all_10_41 = e0) % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (316), (2139) imply: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2140) ~ (all_4_14 = e0) % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1457) gives: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2141) all_8_20 = e0 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1485), (1831), (2141) are inconsistent by % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #84. % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2142) all_8_21 = e0 | all_8_22 = e0 | all_8_23 = e0 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2142) gives: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2143) all_8_21 = e0 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (403), (1466), (1856), (2052), (2143) are % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #64. % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2144) all_8_22 = e0 | all_8_23 = e0 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2144) gives: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2145) all_8_22 = e0 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (415), (2140), (2145) are inconsistent by % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #90. % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2146) all_8_23 = e0 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (2146) imply: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2147) all_4_19 = e0 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2147) implies: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2148) all_4_19 = e0 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (2148) imply: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2149) all_10_55 = e0 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2130) gives: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2150) ~ (all_10_55 = e0) % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2149), (2150) imply: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2151) $false % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2151) is inconsistent. % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2152) all_10_69 = e1 & ~ (unit = e0) % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2152) implies: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2153) all_10_69 = e1 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (2153) imply: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2154) all_4_24 = e1 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2154) implies: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2155) all_4_24 = e1 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (2155) imply: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2156) ~ (all_4_14 = e1) % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2114) gives: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2157) all_6_22 = e2 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (2157) imply: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2158) all_4_14 = e2 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1488), (2158) imply: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2159) $false % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2159) is inconsistent. % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2160) all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2160) gives: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2161) all_6_22 = e3 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (2161) imply: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2162) all_4_14 = e3 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (2162) imply: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2163) ~ (all_4_10 = e3) % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1838) gives: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2164) all_6_2 = e2 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (1828), (2164) are inconsistent by % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #78. % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2165) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2165) gives: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2166) all_6_2 = e3 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (2163), (2166) are inconsistent by % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #77. % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2167) all_6_2 = e1 | all_6_2 = e0 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2167) gives: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2168) all_6_2 = e1 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (2168) imply: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2169) all_4_10 = e1 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2169) implies: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2170) all_4_10 = e1 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (2170) imply: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2171) ~ (all_4_15 = e1) % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2171) implies: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2172) ~ (all_4_15 = e1) % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1861) gives: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2173) all_6_3 = e2 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (2173) imply: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2174) all_4_15 = e2 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2174) implies: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2175) all_4_15 = e2 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1830), (2175) imply: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2176) $false % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2176) is inconsistent. % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2177) all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2177) gives: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2178) all_6_3 = e3 % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/11.99 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (2178) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179) all_4_15 = e3 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2179) implies: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2180) all_4_15 = e3 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2138), (2180) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2181) op(e1, e3) = e4 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_8, e4, % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, e1, simplifying with (116), (2181) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2182) all_4_8 = e4 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1466), (2182) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2183) $false % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2183) is inconsistent. % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2184) all_6_3 = e1 | all_6_3 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (454), (501), (2172), (2184) are inconsistent by % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #63. % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2185) all_6_2 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (499), (2185) are inconsistent by sub-proof % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #156. % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2186) all_6_22 = e1 | all_6_22 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (2140), (2156), (2186) are inconsistent by % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #102. % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187) all_10_69 = e2 & ~ (unit = e0) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (310), (1492), (2187) are inconsistent by % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #67. % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2188) all_10_45 = e3 & ~ (all_10_46 = e1) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2188) implies: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2189) all_10_45 = e3 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2060), (2189) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2190) e4 = e3 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2190) implies: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2191) e4 = e3 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1471), (2191) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2192) $false % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2192) is inconsistent. % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2193) (all_10_48 = e2 & ~ (all_10_49 = e1)) | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_53 = e0 & ~ (all_10_54 = e1)) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2193) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2194) all_10_48 = e2 & ~ (all_10_49 = e1) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2194) implies: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2195) all_10_48 = e2 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (2195) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2196) op(e1, all_4_17) = e2 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2134) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2197) ~ (all_10_21 = e0) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (2197) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2198) ~ (all_4_7 = e0) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1836) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2199) all_6_11 = e2 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (1822), (2199) are inconsistent by % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #150. % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2200) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2200) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2201) all_6_11 = e3 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (521), (2201) are inconsistent by sub-proof % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #149. % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2202) all_6_11 = e1 | all_6_11 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2202) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2203) all_6_11 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (2203) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2204) all_4_7 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2204) implies: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2205) all_4_7 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (2205) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2206) all_8_7 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (2205) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2207) ~ (all_4_17 = e1) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2207) implies: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2208) ~ (all_4_17 = e1) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (2205) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2209) ~ (all_4_22 = e1) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2209) implies: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2210) ~ (all_4_22 = e1) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2131) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2211) ~ (all_10_50 = e0) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (2211) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2212) ~ (all_4_17 = e0) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2213) all_8_6 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (392), (491), (2213) are inconsistent by sub-proof % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #162. % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2214) all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2107) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2215) all_6_13 = e2 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (457), (2215) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2216) all_4_17 = e2 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2216) implies: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2217) all_4_17 = e2 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (2217) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2218) all_8_11 = e2 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (2217) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219) ~ (all_4_22 = e2) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2219) implies: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2220) ~ (all_4_22 = e2) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2196), (2217) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2221) op(e1, e2) = e2 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2214) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2222) all_8_7 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (2206), (2222) are inconsistent by % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #148. % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2223) all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2223) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2224) all_8_8 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (345), (2224) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2225) e4 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (403), (1466), (1856), (2052), (2054), (2225) are % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #62. % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2226) all_8_11 = e0 | all_8_18 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2226) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2227) all_8_11 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2218), (2227) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2228) e2 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1831), (2228) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2229) $false % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2229) is inconsistent. % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2230) all_8_18 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (2230) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2231) all_4_22 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2231) implies: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2232) all_4_22 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (2232) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2233) ~ (all_4_21 = e0) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (2232) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2234) ~ (all_4_23 = e0) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2234) implies: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2235) ~ (all_4_23 = e0) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (2232) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2236) ~ (e4 = e0) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2220), (2232) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2237) ~ (e2 = e0) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2132) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2238) ~ (all_10_41 = e0) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (316), (2238) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2239) ~ (all_4_14 = e0) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1457) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2240) all_8_20 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1485), (1831), (2240) are inconsistent by % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #84. % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2241) all_8_21 = e0 | all_8_22 = e0 | all_8_23 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2241) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2242) all_8_21 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (403), (1466), (1856), (2052), (2242) are % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #64. % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2243) all_8_22 = e0 | all_8_23 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2243) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2244) all_8_22 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (415), (2239), (2244) are inconsistent by % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #90. % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2245) all_8_23 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (2245) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2246) all_4_19 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2246) implies: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2247) all_4_19 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (2247) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2248) all_10_55 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (2247) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2249) ~ (all_4_18 = e0) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2130) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2250) ~ (all_10_55 = e0) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2248), (2250) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2251) $false % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2251) is inconsistent. % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2252) all_10_69 = e1 & ~ (unit = e0) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2252) implies: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2253) all_10_69 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (2253) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2254) all_4_24 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2254) implies: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2255) all_4_24 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (2255) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2256) ~ (all_4_14 = e1) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2114) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2257) all_6_22 = e2 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (2257) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2258) all_4_14 = e2 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1488), (2258) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2259) $false % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2259) is inconsistent. % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2260) all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2260) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2261) all_6_22 = e3 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (2261) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2262) all_4_14 = e3 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (2262) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2263) all_8_22 = e3 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (2262) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2264) ~ (all_4_10 = e3) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1838) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2265) all_6_2 = e2 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (1828), (2265) are inconsistent by % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #78. % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2266) ~ (all_6_2 = e2) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2267) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2267) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2268) all_6_2 = e3 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (2264), (2268) are inconsistent by % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #77. % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2269) all_6_2 = e1 | all_6_2 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2269) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2270) all_6_2 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (2270) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2271) all_4_10 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2271) implies: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2272) all_4_10 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (2272) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2273) all_8_4 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (2272) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2274) ~ (all_4_15 = e1) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2274) implies: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2275) ~ (all_4_15 = e1) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (527), (2272) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2276) ~ (e4 = e1) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1828), (2272) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2277) ~ (e2 = e1) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2277) implies: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2278) ~ (e2 = e1) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279) all_8_9 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (2279) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280) all_4_15 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2280) implies: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2281) all_4_15 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2275), (2281) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2282) $false % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2282) is inconsistent. % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2283) all_8_10 = e1 | all_8_11 = e1 | all_8_15 = e1 | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2283) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2284) all_8_10 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2045), (2284) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2285) e4 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2285) implies: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2286) e4 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1472), (2286) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2287) $false % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2287) is inconsistent. % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2288) all_8_11 = e1 | all_8_15 = e1 | all_8_23 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2288) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2289) all_8_11 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2218), (2289) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2290) e2 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2290) implies: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291) e2 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2278), (2291) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2292) $false % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2292) is inconsistent. % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2293) all_8_15 = e1 | all_8_23 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2293) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294) all_8_15 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (2294) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2295) all_4_18 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2295) implies: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2296) all_4_18 = e1 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_13, e2, % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, e1, simplifying with (115), (2221) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2297) all_4_13 = e2 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (2297) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2298) all_8_14 = e2 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (211) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2299) all_8_16 = e2 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1494), (1851), (2299) are inconsistent by % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #61. % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2300) all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_24 = e2 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2300) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2301) all_8_17 = e2 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (2301) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2302) all_4_21 = e2 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2302) implies: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2303) all_4_21 = e2 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (2303) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2304) ~ (all_4_11 = e2) % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (2303) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2305) op(e3, e0) = e2 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2306) all_8_12 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1462), (2306) imply: % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2307) e4 = e0 % 81.44/12.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (403), (1466), (1856), (2052), (2054), (2307) are % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #62. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2308) ~ (all_8_12 = e0) % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2309) all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2310) all_8_4 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2273), (2310) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2311) e1 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2311) implies: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2312) e1 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (2312) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2313) $false % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2313) is inconsistent. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2314) all_8_5 = e0 | all_8_8 = e0 | all_8_14 = e0 | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_22 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2314) gives: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2315) all_8_5 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (2315) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2316) all_4_11 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2316) implies: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317) all_4_11 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (547), (2317) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2318) op(e3, e0) = all_10_32 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2309) gives: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2319) all_8_13 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (2319) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2320) all_4_8 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2320) implies: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2321) all_4_8 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2105), (2321) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2322) op(e3, e0) = e1 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_32, e0, e3, simplifying with (2305), (2318) % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2323) all_10_32 = e2 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_32, e0, e3, simplifying with (2318), (2322) % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2324) all_10_32 = e1 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2323), (2324) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2325) e2 = e1 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2325) implies: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2326) e2 = e1 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2278), (2326) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2327) $false % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2327) is inconsistent. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2328) all_8_14 = e0 | all_8_15 = e0 | all_8_19 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (434), (489), (1831), (2235), (2294), (2298), % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2328) are inconsistent by sub-proof #59. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2329) all_8_8 = e0 | all_8_14 = e0 | all_8_22 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2329) gives: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2330) all_8_8 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (345), (2330) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2331) e4 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (403), (1466), (1856), (2052), (2054), (2331) are % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #62. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2332) all_8_14 = e0 | all_8_22 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2332) gives: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2333) all_8_14 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1831), (2298), (2333) are inconsistent by % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #60. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2334) all_8_22 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2263), (2334) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2335) e3 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2335) implies: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2336) e3 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (2336) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2337) $false % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2337) is inconsistent. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2338) ~ (all_8_17 = e2) % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (430), (2338) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2339) ~ (all_4_21 = e2) % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2340) all_8_12 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1462), (2340) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2341) e4 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (403), (1466), (1856), (2052), (2054), (2341) are % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #62. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2342) all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2122) gives: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2343) all_6_9 = e2 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (2343) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2344) all_4_21 = e2 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2339), (2344) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2345) $false % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2345) is inconsistent. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2346) all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2346) gives: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2347) all_6_9 = e3 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (2347) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2348) all_4_21 = e3 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (2348) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2349) ~ (all_4_23 = e3) % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2349) implies: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2350) ~ (all_4_23 = e3) % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2342) gives: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2351) all_8_13 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (325), (334), (403), (2133), (2350), (2351) are % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #57. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2352) all_8_14 = e0 | all_8_15 = e0 | all_8_19 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (434), (489), (1831), (2235), (2294), (2298), % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2352) are inconsistent by sub-proof #59. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2353) all_6_9 = e1 | all_6_9 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (468), (515), (2233), (2353) are inconsistent by % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #107. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2354) all_8_23 = e1 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2245), (2354) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2355) e1 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (2355) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2356) $false % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2356) is inconsistent. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2357) all_6_2 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (499), (2357) are inconsistent by sub-proof % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #156. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2358) all_6_22 = e1 | all_6_22 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (2239), (2256), (2358) are inconsistent by % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #102. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2359) all_10_69 = e2 & ~ (unit = e0) % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (310), (1492), (2359) are inconsistent by % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #67. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2360) all_6_13 = e3 | all_6_13 = e1 | all_6_13 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (457), (523), (2208), (2212), (2360) are % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #110. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2361) all_10_64 = e1 & ~ (unit = e0) % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (340), (2210), (2361) are inconsistent by % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #66. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2362) all_6_11 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (2198), (2362) are inconsistent by % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #143. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2363) all_10_64 = e3 & ~ (unit = e0) % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (340), (525), (2363) are inconsistent by sub-proof % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #142. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2364) all_10_53 = e0 & ~ (all_10_54 = e1) % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2364) implies: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2365) all_10_53 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (2365) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366) op(e1, all_4_19) = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2134) gives: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2367) ~ (all_10_21 = e0) % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (2367) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2368) ~ (all_4_7 = e0) % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1836) gives: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2369) all_6_11 = e2 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (1822), (2369) are inconsistent by % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #150. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2370) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2370) gives: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371) all_6_11 = e3 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (521), (2371) are inconsistent by sub-proof % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #149. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2372) all_6_11 = e1 | all_6_11 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2372) gives: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2373) all_6_11 = e1 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (2373) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2374) all_4_7 = e1 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2374) implies: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2375) all_4_7 = e1 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (2375) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376) all_8_7 = e1 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (2375) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2377) ~ (all_4_17 = e1) % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2377) implies: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2378) ~ (all_4_17 = e1) % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (2375) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2379) ~ (all_4_22 = e1) % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2379) implies: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2380) ~ (all_4_22 = e1) % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2131) gives: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2381) ~ (all_10_50 = e0) % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (2381) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2382) ~ (all_4_17 = e0) % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2383) all_8_6 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (392), (491), (2383) are inconsistent by sub-proof % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #162. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384) all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2107) gives: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2385) all_6_13 = e2 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (457), (2385) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2386) all_4_17 = e2 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2386) implies: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2387) all_4_17 = e2 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (2387) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2388) all_8_11 = e2 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (2387) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2389) ~ (all_4_22 = e2) % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2389) implies: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2390) ~ (all_4_22 = e2) % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2384) gives: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2391) all_8_7 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (2376), (2391) are inconsistent by % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #148. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2392) all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2392) gives: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2393) all_8_8 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (345), (2393) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2394) e4 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (403), (1466), (1856), (2052), (2054), (2394) are % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #62. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2395) all_8_11 = e0 | all_8_18 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2395) gives: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2396) all_8_11 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2388), (2396) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2397) e2 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1831), (2397) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2398) $false % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2398) is inconsistent. % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2399) all_8_18 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (2399) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2400) all_4_22 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2400) implies: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2401) all_4_22 = e0 % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (2401) imply: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2402) ~ (all_4_23 = e0) % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2402) implies: % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2403) ~ (all_4_23 = e0) % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (2401) imply: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2404) ~ (e4 = e0) % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2390), (2401) imply: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2405) ~ (e2 = e0) % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2132) gives: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2406) ~ (all_10_41 = e0) % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (316), (2406) imply: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2407) ~ (all_4_14 = e0) % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1457) gives: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2408) all_8_20 = e0 % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1485), (1831), (2408) are inconsistent by % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #84. % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2409) all_8_21 = e0 | all_8_22 = e0 | all_8_23 = e0 % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2409) gives: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2410) all_8_21 = e0 % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (403), (1466), (1856), (2052), (2410) are % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #64. % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2411) all_8_22 = e0 | all_8_23 = e0 % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2411) gives: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2412) all_8_22 = e0 % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (415), (2407), (2412) are inconsistent by % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #90. % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2413) all_8_23 = e0 % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (2413) imply: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2414) all_4_19 = e0 % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2414) implies: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2415) all_4_19 = e0 % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2366), (2415) imply: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2416) op(e1, e0) = e0 % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_23, e0, % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e1, simplifying with (113), (2416) gives: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2417) all_4_23 = e0 % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2403), (2417) imply: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2418) $false % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2418) is inconsistent. % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2419) all_10_69 = e2 & ~ (unit = e0) % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (310), (1492), (2419) are inconsistent by % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #67. % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2420) all_6_13 = e3 | all_6_13 = e1 | all_6_13 = e0 % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (457), (523), (2378), (2382), (2420) are % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #110. % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2421) all_10_64 = e1 & ~ (unit = e0) % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (340), (2380), (2421) are inconsistent by % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #66. % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2422) all_6_11 = e0 % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (2368), (2422) are inconsistent by % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #143. % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2423) all_10_64 = e3 & ~ (unit = e0) % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (340), (525), (2423) are inconsistent by sub-proof % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #142. % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | (2424) all_10_25 = e0 & ~ (all_10_26 = e3) % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2424) implies: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | (2425) all_10_25 = e0 % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2061), (2425) imply: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | (2426) e1 = e0 % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2426) implies: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | (2427) e1 = e0 % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (2427) imply: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | (2428) $false % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2428) is inconsistent. % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.02 | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | (2429) all_8_17 = e4 % 81.44/12.02 | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (430), (1854), (2429) are inconsistent by % 81.44/12.02 | | | | | | | | | | | | | | | | | | | sub-proof #177. % 81.44/12.02 | | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | End of split % 81.44/12.02 | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | Case 2: % 81.44/12.02 | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | (2430) ~ (all_6_4 = e4) % 81.44/12.02 | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | REDUCE: (466), (2430) imply: % 81.44/12.02 | | | | | | | | | | | | (2431) ~ (all_4_20 = e4) % 81.44/12.02 | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | BETA: splitting (213) gives: % 81.44/12.02 | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | Case 1: % 81.44/12.02 | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | (2432) all_8_16 = e4 % 81.44/12.02 | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | REF_CLOSE: (428), (2431), (2432) are inconsistent by % 81.44/12.02 | | | | | | | | | | | | | sub-proof #56. % 81.44/12.02 | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | Case 2: % 81.44/12.02 | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | (2433) ~ (all_8_16 = e4) % 81.44/12.02 | | | | | | | | | | | | | (2434) all_8_17 = e4 | all_8_18 = e4 | all_8_19 = e4 | % 81.44/12.02 | | | | | | | | | | | | | all_8_24 = e4 % 81.44/12.02 | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | BETA: splitting (302) gives: % 81.44/12.02 | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | Case 1: % 81.44/12.02 | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | (2435) (( ~ (all_10_1 = e4) | ~ (unit = e4)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_4 = e4) | ~ (unit = e4)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_7 = e4) | ~ (unit = e4)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_10 = e4) | ~ (unit = e4)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_13 = e4) | ~ (unit = e4)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_16 = e4) | (all_10_1 = e3 & ~ (unit = % 81.44/12.02 | | | | | | | | | | | | | | e4))) & ( ~ (all_10_18 = e4) | (all_10_4 = % 81.44/12.02 | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_21 = e4) % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_7 = e3 & ~ (unit = e4))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_24 = e4) | (all_10_10 = e3 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_27 = e4) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_13 = e3 & ~ (unit = e4))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_30 = e4) | (all_10_1 = e2 & ~ (unit = % 81.44/12.02 | | | | | | | | | | | | | | e4))) & ( ~ (all_10_33 = e4) | (all_10_4 = % 81.44/12.02 | | | | | | | | | | | | | | e2 & ~ (unit = e4))) & ( ~ (all_10_35 = e4) % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_7 = e2 & ~ (unit = e4))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_38 = e4) | (all_10_10 = e2 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_41 = e4) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_13 = e2 & ~ (unit = e4))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_44 = e4) | (all_10_1 = e1 & ~ (unit = % 81.44/12.02 | | | | | | | | | | | | | | e4))) & ( ~ (all_10_47 = e4) | (all_10_4 = % 81.44/12.02 | | | | | | | | | | | | | | e1 & ~ (unit = e4))) & ( ~ (all_10_50 = e4) % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_7 = e1 & ~ (unit = e4))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_52 = e4) | (all_10_10 = e1 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_55 = e4) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e4))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_58 = e4) | (all_10_1 = e0 & ~ (unit = % 81.44/12.02 | | | | | | | | | | | | | | e4))) & ( ~ (all_10_61 = e4) | (all_10_4 = % 81.44/12.02 | | | | | | | | | | | | | | e0 & ~ (unit = e4))) & ( ~ (all_10_64 = e4) % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_7 = e0 & ~ (unit = e4))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_67 = e4) | (all_10_10 = e0 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_69 = e4) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_13 = e0 & ~ (unit = e4)))) | (( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_16 = e4 & ~ (unit = % 81.44/12.02 | | | | | | | | | | | | | | e3))) & ( ~ (all_10_4 = e3) | (all_10_18 = % 81.44/12.02 | | | | | | | | | | | | | | e4 & ~ (unit = e3))) & ( ~ (all_10_7 = e3) % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_21 = e4 & ~ (unit = e3))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_10 = e3) | (all_10_24 = e4 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_13 = e3) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_27 = e4 & ~ (unit = e3))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_16 = e3) | ~ (unit = e3)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_18 = e3) | ~ (unit = e3)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_21 = e3) | ~ (unit = e3)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_24 = e3) | ~ (unit = e3)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_27 = e3) | ~ (unit = e3)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_30 = e3) | (all_10_16 = e2 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_33 = e3) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_18 = e2 & ~ (unit = e3))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_35 = e3) | (all_10_21 = e2 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_38 = e3) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_24 = e2 & ~ (unit = e3))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_41 = e3) | (all_10_27 = e2 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_44 = e3) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_16 = e1 & ~ (unit = e3))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_47 = e3) | (all_10_18 = e1 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_50 = e3) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_52 = e3) | (all_10_24 = e1 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_55 = e3) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_27 = e1 & ~ (unit = e3))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_58 = e3) | (all_10_16 = e0 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_61 = e3) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_18 = e0 & ~ (unit = e3))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_64 = e3) | (all_10_21 = e0 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_67 = e3) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_24 = e0 & ~ (unit = e3))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_69 = e3) | (all_10_27 = e0 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e3)))) % 81.44/12.02 | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | REF_CLOSE: (350), (354), (487), (526), (1496), (2435) are % 81.44/12.02 | | | | | | | | | | | | | | inconsistent by sub-proof #184. % 81.44/12.02 | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | Case 2: % 81.44/12.02 | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | (2436) (( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_4 = e2) | (all_10_33 % 81.44/12.02 | | | | | | | | | | | | | | = e4 & ~ (unit = e2))) & ( ~ (all_10_7 = % 81.44/12.02 | | | | | | | | | | | | | | e2) | (all_10_35 = e4 & ~ (unit = e2))) & ( % 81.44/12.02 | | | | | | | | | | | | | | ~ (all_10_10 = e2) | (all_10_38 = e4 & ~ % 81.44/12.02 | | | | | | | | | | | | | | (unit = e2))) & ( ~ (all_10_13 = e2) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_41 = e4 & ~ (unit = e2))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_16 = e2) | (all_10_30 = e3 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_18 = e2) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_33 = e3 & ~ (unit = e2))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_21 = e2) | (all_10_35 = e3 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_24 = e2) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_30 = e2) | ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_33 = e2) | ~ (unit = % 81.44/12.02 | | | | | | | | | | | | | | e2)) & ( ~ (all_10_35 = e2) | ~ (unit = % 81.44/12.02 | | | | | | | | | | | | | | e2)) & ( ~ (all_10_38 = e2) | ~ (unit = % 81.44/12.02 | | | | | | | | | | | | | | e2)) & ( ~ (all_10_41 = e2) | ~ (unit = % 81.44/12.02 | | | | | | | | | | | | | | e2)) & ( ~ (all_10_44 = e2) | (all_10_30 = % 81.44/12.02 | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_47 = e2) % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_33 = e1 & ~ (unit = e2))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_50 = e2) | (all_10_35 = e1 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_52 = e2) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_38 = e1 & ~ (unit = e2))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_55 = e2) | (all_10_41 = e1 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_58 = e2) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_64 = e2) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_35 = e0 & ~ (unit = e2))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_67 = e2) | (all_10_38 = e0 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_69 = e2) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_41 = e0 & ~ (unit = e2)))) | (( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = % 81.44/12.02 | | | | | | | | | | | | | | e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = % 81.44/12.02 | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_55 = e4 & ~ (unit = e1))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_18 = e1) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_47 = e3 & ~ (unit = e1))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_24 = e1) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_30 = e1) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_35 = e1) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_50 = e2 & ~ (unit = e1))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_41 = e1) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_61 = e1) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_47 = e0 & ~ (unit = e1))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_64 = e1) | (all_10_50 = e0 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_67 = e1) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_52 = e0 & ~ (unit = e1))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_69 = e1) | (all_10_55 = e0 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e1)))) | (( ~ (all_10_1 = e0) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = % 81.44/12.02 | | | | | | | | | | | | | | e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = % 81.44/12.02 | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_16 = e0) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_21 = e0) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_27 = e0) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_33 = e0) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_38 = e0) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_44 = e0) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_50 = e0) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_55 = e0) | % 81.44/12.02 | | | | | | | | | | | | | | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_58 = e0) | ~ (unit = e0)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_61 = e0) | ~ (unit = e0)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | (all_10_69 = e0) | ~ (unit = e0))) % 81.44/12.02 | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | BETA: splitting (2436) gives: % 81.44/12.02 | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | Case 1: % 81.44/12.02 | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | (2437) ( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit = % 81.44/12.02 | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_4 = e2) | (all_10_33 = % 81.44/12.02 | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_7 = e2) | % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_35 = e4 & ~ (unit = e2))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit = % 81.44/12.02 | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_13 = e2) | (all_10_41 = % 81.44/12.02 | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_16 = e2) | % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_30 = e3 & ~ (unit = e2))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_18 = e2) | (all_10_33 = e3 & ~ (unit = % 81.44/12.02 | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_21 = e2) | (all_10_35 = % 81.44/12.02 | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_24 = e2) | % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit = % 81.44/12.02 | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_30 = e2) | ~ (unit = % 81.44/12.02 | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_33 = e2) | ~ (unit = e2)) % 81.44/12.02 | | | | | | | | | | | | | | | & ( ~ (all_10_35 = e2) | ~ (unit = e2)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_38 = e2) | ~ (unit = e2)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_41 = e2) | ~ (unit = e2)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_44 = e2) | (all_10_30 = e1 & ~ (unit = % 81.44/12.02 | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_47 = e2) | (all_10_33 = % 81.44/12.02 | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_50 = e2) | % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_35 = e1 & ~ (unit = e2))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_52 = e2) | (all_10_38 = e1 & ~ (unit = % 81.44/12.02 | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_55 = e2) | (all_10_41 = % 81.44/12.02 | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_58 = e2) | % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit = % 81.44/12.02 | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_64 = e2) | (all_10_35 = % 81.44/12.02 | | | | | | | | | | | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_67 = e2) | % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_38 = e0 & ~ (unit = e2))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit = % 81.44/12.02 | | | | | | | | | | | | | | | e2))) % 81.44/12.02 | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | ALPHA: (2437) implies: % 81.44/12.02 | | | | | | | | | | | | | | | (2438) ~ (all_10_13 = e2) | (all_10_41 = e4 & ~ (unit = % 81.44/12.02 | | | | | | | | | | | | | | | e2)) % 81.44/12.02 | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | REF_CLOSE: (316), (532), (1486), (2438) are inconsistent by % 81.44/12.02 | | | | | | | | | | | | | | | sub-proof #183. % 81.44/12.02 | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | Case 2: % 81.44/12.02 | | | | | | | | | | | | | | | % 81.44/12.02 | | | | | | | | | | | | | | | (2439) (( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_4 = e1) | (all_10_47 % 81.44/12.02 | | | | | | | | | | | | | | | = e4 & ~ (unit = e1))) & ( ~ (all_10_7 = % 81.44/12.02 | | | | | | | | | | | | | | | e1) | (all_10_50 = e4 & ~ (unit = e1))) & ( % 81.44/12.02 | | | | | | | | | | | | | | | ~ (all_10_10 = e1) | (all_10_52 = e4 & ~ % 81.44/12.02 | | | | | | | | | | | | | | | (unit = e1))) & ( ~ (all_10_13 = e1) | % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_55 = e4 & ~ (unit = e1))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_18 = e1) | % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_47 = e3 & ~ (unit = e1))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_24 = e1) | % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_30 = e1) | % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_35 = e1) | % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_50 = e2 & ~ (unit = e1))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_41 = e1) | % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_61 = e1) | % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_47 = e0 & ~ (unit = e1))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_64 = e1) | (all_10_50 = e0 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_67 = e1) | % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_52 = e0 & ~ (unit = e1))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_69 = e1) | (all_10_55 = e0 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | | = e1)))) | (( ~ (all_10_1 = e0) | % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = % 81.44/12.02 | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = % 81.44/12.02 | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) % 81.44/12.02 | | | | | | | | | | | | | | | | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_16 = e0) | % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit % 81.44/12.02 | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_21 = e0) | % 81.44/12.02 | | | | | | | | | | | | | | | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit % 81.44/12.03 | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_27 = e0) | % 81.44/12.03 | | | | | | | | | | | | | | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit % 81.44/12.03 | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_33 = e0) | % 81.44/12.03 | | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit % 81.44/12.03 | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_38 = e0) | % 81.44/12.03 | | | | | | | | | | | | | | | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit % 81.44/12.03 | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_44 = e0) | % 81.44/12.03 | | | | | | | | | | | | | | | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit % 81.44/12.03 | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_50 = e0) | % 81.44/12.03 | | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit % 81.44/12.03 | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_55 = e0) | % 81.44/12.03 | | | | | | | | | | | | | | | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | (all_10_58 = e0) | ~ (unit = e0)) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | (all_10_61 = e0) | ~ (unit = e0)) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | (all_10_69 = e0) | ~ (unit = e0))) % 81.44/12.03 | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | BETA: splitting (2439) gives: % 81.44/12.03 | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | Case 1: % 81.44/12.03 | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | (2440) ( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = % 81.44/12.03 | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = % 81.44/12.03 | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) | % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit = % 81.44/12.03 | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_13 = e1) | (all_10_55 = % 81.44/12.03 | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_16 = e1) | % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_44 = e3 & ~ (unit = e1))) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_47 = e3 & ~ (unit = % 81.44/12.03 | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_50 = % 81.44/12.03 | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_24 = e1) | % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = % 81.44/12.03 | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_30 = e1) | (all_10_44 = % 81.44/12.03 | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_33 = e1) | % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_47 = e2 & ~ (unit = e1))) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_35 = e1) | (all_10_50 = e2 & ~ (unit = % 81.44/12.03 | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_38 = e1) | (all_10_52 = % 81.44/12.03 | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_41 = e1) | % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit = % 81.44/12.03 | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_61 = e1) | (all_10_47 = % 81.44/12.03 | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_64 = e1) | % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_50 = e0 & ~ (unit = e1))) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_67 = e1) | (all_10_52 = e0 & ~ (unit = % 81.44/12.03 | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_69 = e1) | (all_10_55 = % 81.44/12.03 | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) % 81.44/12.03 | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | ALPHA: (2440) implies: % 81.44/12.03 | | | | | | | | | | | | | | | | (2441) ~ (all_10_4 = e1) | (all_10_47 = e4 & ~ (unit = % 81.44/12.03 | | | | | | | | | | | | | | | | e1)) % 81.44/12.03 | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | BETA: splitting (2441) gives: % 81.44/12.03 | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | Case 1: % 81.44/12.03 | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | (2442) ~ (all_10_4 = e1) % 81.44/12.03 | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | REDUCE: (370), (2442) imply: % 81.44/12.03 | | | | | | | | | | | | | | | | | (2443) $false % 81.44/12.03 | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | CLOSE: (2443) is inconsistent. % 81.44/12.03 | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | Case 2: % 81.44/12.03 | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | (2444) all_10_47 = e4 & ~ (unit = e1) % 81.44/12.03 | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | ALPHA: (2444) implies: % 81.44/12.03 | | | | | | | | | | | | | | | | | (2445) all_10_47 = e4 % 81.44/12.03 | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (2445) imply: % 81.44/12.03 | | | | | | | | | | | | | | | | | (2446) all_4_16 = e4 % 81.44/12.03 | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | SIMP: (2446) implies: % 81.44/12.03 | | | | | | | | | | | | | | | | | (2447) all_4_16 = e4 % 81.44/12.03 | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | REDUCE: (26), (2447) imply: % 81.44/12.03 | | | | | | | | | | | | | | | | | (2448) ~ (all_4_21 = e4) % 81.44/12.03 | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | SIMP: (2448) implies: % 81.44/12.03 | | | | | | | | | | | | | | | | | (2449) ~ (all_4_21 = e4) % 81.44/12.03 | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | BETA: splitting (2434) gives: % 81.44/12.03 | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.03 | | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | | (2450) all_8_17 = e4 % 81.44/12.03 | | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | | REF_CLOSE: (430), (2449), (2450) are inconsistent by % 81.44/12.03 | | | | | | | | | | | | | | | | | | sub-proof #177. % 81.44/12.03 | | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.03 | | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | | (2451) all_8_18 = e4 | all_8_19 = e4 | all_8_24 = e4 % 81.44/12.03 | | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | | BETA: splitting (2451) gives: % 81.44/12.03 | | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.03 | | | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | | | (2452) all_8_18 = e4 % 81.44/12.03 | | | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (536), (2452) are inconsistent by sub-proof % 81.44/12.03 | | | | | | | | | | | | | | | | | | | #88. % 81.44/12.03 | | | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.03 | | | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | | | (2453) all_8_19 = e4 | all_8_24 = e4 % 81.44/12.03 | | | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | | | BETA: splitting (2453) gives: % 81.44/12.03 | | | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.03 | | | | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | | | | (2454) all_8_19 = e4 % 81.44/12.03 | | | | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (434), (1470), (2454) are inconsistent by % 81.44/12.03 | | | | | | | | | | | | | | | | | | | | sub-proof #98. % 81.44/12.03 | | | | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.03 | | | | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | | | | (2455) all_8_24 = e4 % 81.44/12.03 | | | | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (436), (1844), (2455) are inconsistent by % 81.44/12.03 | | | | | | | | | | | | | | | | | | | | sub-proof #65. % 81.44/12.03 | | | | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.03 | | | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | | End of split % 81.44/12.03 | | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | | End of split % 81.44/12.03 | | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | End of split % 81.44/12.03 | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | Case 2: % 81.44/12.03 | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | (2456) ( ~ (all_10_1 = e0) | (all_10_58 = e4 & ~ (unit = % 81.44/12.03 | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_4 = e0) | (all_10_61 = % 81.44/12.03 | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_7 = e0) | % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_64 = e4 & ~ (unit = e0))) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_10 = e0) | (all_10_67 = e4 & ~ (unit = % 81.44/12.03 | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_13 = e0) | (all_10_69 = % 81.44/12.03 | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_16 = e0) | % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit = % 81.44/12.03 | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_64 = % 81.44/12.03 | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_24 = e0) | % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_67 = e3 & ~ (unit = e0))) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_27 = e0) | (all_10_69 = e3 & ~ (unit = % 81.44/12.03 | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_30 = e0) | (all_10_58 = % 81.44/12.03 | | | | | | | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_33 = e0) | % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit = % 81.44/12.03 | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_38 = e0) | (all_10_67 = % 81.44/12.03 | | | | | | | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_41 = e0) | % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_69 = e2 & ~ (unit = e0))) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_44 = e0) | (all_10_58 = e1 & ~ (unit = % 81.44/12.03 | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_47 = e0) | (all_10_61 = % 81.44/12.03 | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_50 = e0) | % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 81.44/12.03 | | | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit = % 81.44/12.03 | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_55 = e0) | (all_10_69 = % 81.44/12.03 | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_58 = e0) | % 81.44/12.03 | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_61 = e0) | ~ % 81.44/12.03 | | | | | | | | | | | | | | | | (unit = e0)) & ( ~ (all_10_64 = e0) | ~ (unit = % 81.44/12.03 | | | | | | | | | | | | | | | | e0)) & ( ~ (all_10_67 = e0) | ~ (unit = e0)) % 81.44/12.03 | | | | | | | | | | | | | | | | & ( ~ (all_10_69 = e0) | ~ (unit = e0)) % 81.44/12.03 | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | | REF_CLOSE: (373), (386), (2431), (2456) are inconsistent by % 81.44/12.03 | | | | | | | | | | | | | | | | sub-proof #167. % 81.44/12.03 | | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | End of split % 81.44/12.03 | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | End of split % 81.44/12.03 | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | End of split % 81.44/12.03 | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | End of split % 81.44/12.03 | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | End of split % 81.44/12.03 | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | End of split % 81.44/12.03 | | | | | | | | | | % 81.44/12.03 | | | | | | | | | End of split % 81.44/12.03 | | | | | | | | | % 81.44/12.03 | | | | | | | | End of split % 81.44/12.03 | | | | | | | | % 81.44/12.03 | | | | | | | End of split % 81.44/12.03 | | | | | | | % 81.44/12.03 | | | | | | End of split % 81.44/12.03 | | | | | | % 81.44/12.03 | | | | | Case 2: % 81.44/12.03 | | | | | | % 81.44/12.03 | | | | | | (2457) (all_10_8 = e1 & ~ (all_10_9 = e4)) | (all_10_11 = e0 & % 81.44/12.03 | | | | | | ~ (all_10_12 = e4)) % 81.44/12.03 | | | | | | % 81.44/12.03 | | | | | | REF_CLOSE: (489), (499), (1499), (1500), (2457) are inconsistent by % 81.44/12.03 | | | | | | sub-proof #141. % 81.44/12.03 | | | | | | % 81.44/12.03 | | | | | End of split % 81.44/12.03 | | | | | % 81.44/12.03 | | | | Case 2: % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | (2458) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0 % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | REF_CLOSE: (473), (495), (507), (519), (2458) are inconsistent by % 81.44/12.03 | | | | | sub-proof #140. % 81.44/12.03 | | | | | % 81.44/12.03 | | | | End of split % 81.44/12.03 | | | | % 81.44/12.03 | | | End of split % 81.44/12.03 | | | % 81.44/12.03 | | Case 2: % 81.44/12.03 | | | % 81.44/12.03 | | | (2459) all_6_15 = e3 | all_6_15 = e2 | all_6_15 = e1 | all_6_15 = e0 % 81.44/12.03 | | | % 81.44/12.03 | | | BETA: splitting (2459) gives: % 81.44/12.03 | | | % 81.44/12.03 | | | Case 1: % 81.44/12.03 | | | | % 81.44/12.03 | | | | (2460) all_6_15 = e2 % 81.44/12.03 | | | | % 81.44/12.03 | | | | COMBINE_EQS: (459), (2460) imply: % 81.44/12.03 | | | | (2461) all_4_3 = e2 % 81.44/12.03 | | | | % 81.44/12.03 | | | | SIMP: (2461) implies: % 81.44/12.03 | | | | (2462) all_4_3 = e2 % 81.44/12.03 | | | | % 81.44/12.03 | | | | COMBINE_EQS: (394), (2462) imply: % 81.44/12.03 | | | | (2463) all_8_12 = e2 % 81.44/12.03 | | | | % 81.44/12.03 | | | | COMBINE_EQS: (337), (2462) imply: % 81.44/12.03 | | | | (2464) all_10_10 = e2 % 81.44/12.03 | | | | % 81.44/12.03 | | | | REDUCE: (88), (2462) imply: % 81.44/12.03 | | | | (2465) ~ (all_4_4 = e2) % 81.44/12.03 | | | | % 81.44/12.03 | | | | SIMP: (2465) implies: % 81.44/12.03 | | | | (2466) ~ (all_4_4 = e2) % 81.44/12.03 | | | | % 81.44/12.03 | | | | REDUCE: (87), (2462) imply: % 81.44/12.03 | | | | (2467) ~ (all_4_8 = e2) % 81.44/12.03 | | | | % 81.44/12.03 | | | | SIMP: (2467) implies: % 81.44/12.03 | | | | (2468) ~ (all_4_8 = e2) % 81.44/12.03 | | | | % 81.44/12.03 | | | | REDUCE: (86), (2462) imply: % 81.44/12.03 | | | | (2469) ~ (all_4_13 = e2) % 81.44/12.03 | | | | % 81.44/12.03 | | | | SIMP: (2469) implies: % 81.44/12.03 | | | | (2470) ~ (all_4_13 = e2) % 81.44/12.03 | | | | % 81.44/12.03 | | | | REDUCE: (84), (2462) imply: % 81.44/12.03 | | | | (2471) ~ (all_4_23 = e2) % 81.44/12.03 | | | | % 81.44/12.03 | | | | SIMP: (2471) implies: % 81.44/12.03 | | | | (2472) ~ (all_4_23 = e2) % 81.44/12.03 | | | | % 81.44/12.03 | | | | REDUCE: (517), (2462) imply: % 81.44/12.03 | | | | (2473) ~ (e3 = e2) % 81.44/12.03 | | | | % 81.44/12.03 | | | | SIMP: (2473) implies: % 81.44/12.03 | | | | (2474) ~ (e3 = e2) % 81.44/12.03 | | | | % 81.44/12.03 | | | | REDUCE: (505), (2462) imply: % 81.44/12.03 | | | | (2475) ~ (e2 = e1) % 81.44/12.03 | | | | % 81.44/12.03 | | | | REDUCE: (493), (2462) imply: % 81.44/12.03 | | | | (2476) ~ (e2 = e0) % 81.44/12.03 | | | | % 81.44/12.03 | | | | REDUCE: (539), (2462) imply: % 81.44/12.03 | | | | (2477) op(e4, e2) = all_10_8 % 81.44/12.03 | | | | % 81.44/12.03 | | | | REDUCE: (557), (2462) imply: % 81.44/12.03 | | | | (2478) op(e1, e2) = all_10_9 % 81.44/12.03 | | | | % 81.44/12.03 | | | | REDUCE: (117), (2462) imply: % 81.44/12.03 | | | | (2479) op(e1, e4) = e2 % 81.44/12.03 | | | | % 81.44/12.03 | | | | BETA: splitting (162) gives: % 81.44/12.03 | | | | % 81.44/12.03 | | | | Case 1: % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | (2480) all_6_20 = e4 % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | COMBINE_EQS: (473), (2480) imply: % 81.44/12.03 | | | | | (2481) all_4_4 = e4 % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | SIMP: (2481) implies: % 81.44/12.03 | | | | | (2482) all_4_4 = e4 % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | COMBINE_EQS: (396), (2482) imply: % 81.44/12.03 | | | | | (2483) all_8_20 = e4 % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | COMBINE_EQS: (322), (2482) imply: % 81.44/12.03 | | | | | (2484) all_10_13 = e4 % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | REDUCE: (83), (2482) imply: % 81.44/12.03 | | | | | (2485) ~ (all_4_9 = e4) % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | SIMP: (2485) implies: % 81.44/12.03 | | | | | (2486) ~ (all_4_9 = e4) % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | REDUCE: (81), (2482) imply: % 81.44/12.03 | | | | | (2487) ~ (all_4_19 = e4) % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | SIMP: (2487) implies: % 81.44/12.03 | | | | | (2488) ~ (all_4_19 = e4) % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | REDUCE: (80), (2482) imply: % 81.44/12.03 | | | | | (2489) ~ (all_4_24 = e4) % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | SIMP: (2489) implies: % 81.44/12.03 | | | | | (2490) ~ (all_4_24 = e4) % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | REDUCE: (2466), (2482) imply: % 81.44/12.03 | | | | | (2491) ~ (e4 = e2) % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | REDUCE: (507), (2482) imply: % 81.44/12.03 | | | | | (2492) ~ (e4 = e1) % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | REDUCE: (495), (2482) imply: % 81.44/12.03 | | | | | (2493) ~ (e4 = e0) % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | REDUCE: (540), (2482) imply: % 81.44/12.03 | | | | | (2494) op(e4, e4) = all_10_11 % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | REDUCE: (565), (2482) imply: % 81.44/12.03 | | | | | (2495) op(e0, e4) = all_10_12 % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | REDUCE: (112), (2482) imply: % 81.44/12.03 | | | | | (2496) op(e0, e4) = e4 % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | GROUND_INST: instantiating (function-axioms) with e4, all_10_12, e4, % 81.44/12.03 | | | | | e0, simplifying with (2495), (2496) gives: % 81.44/12.03 | | | | | (2497) all_10_12 = e4 % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | GROUND_INST: instantiating (function-axioms) with all_4_13, all_10_9, % 81.44/12.03 | | | | | e2, e1, simplifying with (115), (2478) gives: % 81.44/12.03 | | | | | (2498) all_10_9 = all_4_13 % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | GROUND_INST: instantiating (function-axioms) with all_4_10, all_10_8, % 81.44/12.03 | | | | | e2, e4, simplifying with (130), (2477) gives: % 81.44/12.03 | | | | | (2499) all_10_8 = all_4_10 % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | GROUND_INST: instantiating (function-axioms) with e0, all_10_11, e4, % 81.44/12.03 | | | | | e4, simplifying with (7), (2494) gives: % 81.44/12.03 | | | | | (2500) all_10_11 = e0 % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | BETA: splitting (173) gives: % 81.44/12.03 | | | | | % 81.44/12.03 | | | | | Case 1: % 81.44/12.03 | | | | | | % 81.44/12.03 | | | | | | (2501) all_6_7 = e4 % 81.44/12.03 | | | | | | % 81.44/12.03 | | | | | | REF_CLOSE: (446), (528), (2501) are inconsistent by sub-proof #83. % 81.44/12.03 | | | | | | % 81.44/12.03 | | | | | Case 2: % 81.44/12.03 | | | | | | % 81.44/12.03 | | | | | | (2502) ~ (all_6_7 = e4) % 81.44/12.03 | | | | | | (2503) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 = e0 % 81.44/12.03 | | | | | | % 81.44/12.03 | | | | | | BETA: splitting (169) gives: % 81.44/12.03 | | | | | | % 81.44/12.03 | | | | | | Case 1: % 81.44/12.03 | | | | | | | % 81.44/12.03 | | | | | | | (2504) all_6_13 = e4 % 81.44/12.03 | | | | | | | % 81.44/12.03 | | | | | | | REF_CLOSE: (457), (534), (2504) are inconsistent by sub-proof % 81.44/12.03 | | | | | | | #123. % 81.44/12.03 | | | | | | | % 81.44/12.03 | | | | | | Case 2: % 81.44/12.03 | | | | | | | % 81.44/12.03 | | | | | | | (2505) ~ (all_6_13 = e4) % 81.44/12.03 | | | | | | | (2506) all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 | all_6_13 % 81.44/12.03 | | | | | | | = e0 % 81.44/12.03 | | | | | | | % 81.44/12.03 | | | | | | | BETA: splitting (168) gives: % 81.44/12.03 | | | | | | | % 81.44/12.03 | | | | | | | Case 1: % 81.44/12.03 | | | | | | | | % 81.44/12.03 | | | | | | | | (2507) all_6_14 = e4 % 81.44/12.03 | | | | | | | | % 81.44/12.03 | | | | | | | | COMBINE_EQS: (470), (2507) imply: % 81.44/12.03 | | | | | | | | (2508) all_4_22 = e4 % 81.44/12.03 | | | | | | | | % 81.44/12.03 | | | | | | | | SIMP: (2508) implies: % 81.44/12.03 | | | | | | | | (2509) all_4_22 = e4 % 81.44/12.03 | | | | | | | | % 81.44/12.03 | | | | | | | | REDUCE: (536), (2509) imply: % 81.44/12.03 | | | | | | | | (2510) $false % 81.44/12.03 | | | | | | | | % 81.44/12.03 | | | | | | | | CLOSE: (2510) is inconsistent. % 81.44/12.03 | | | | | | | | % 81.44/12.03 | | | | | | | Case 2: % 81.44/12.03 | | | | | | | | % 81.44/12.03 | | | | | | | | (2511) ~ (all_6_14 = e4) % 81.44/12.03 | | | | | | | | (2512) all_6_14 = e3 | all_6_14 = e2 | all_6_14 = e1 | % 81.44/12.03 | | | | | | | | all_6_14 = e0 % 81.44/12.03 | | | | | | | | % 81.44/12.03 | | | | | | | | BETA: splitting (159) gives: % 81.44/12.03 | | | | | | | | % 81.44/12.03 | | | | | | | | Case 1: % 81.44/12.03 | | | | | | | | | % 81.44/12.03 | | | | | | | | | (2513) all_6_24 = e4 % 81.44/12.03 | | | | | | | | | % 81.44/12.03 | | | | | | | | | COMBINE_EQS: (479), (2513) imply: % 81.44/12.03 | | | | | | | | | (2514) all_4_24 = e4 % 81.44/12.03 | | | | | | | | | % 81.44/12.03 | | | | | | | | | SIMP: (2514) implies: % 81.44/12.03 | | | | | | | | | (2515) all_4_24 = e4 % 81.44/12.03 | | | | | | | | | % 81.44/12.03 | | | | | | | | | REDUCE: (2490), (2515) imply: % 81.44/12.03 | | | | | | | | | (2516) $false % 81.44/12.03 | | | | | | | | | % 81.44/12.03 | | | | | | | | | CLOSE: (2516) is inconsistent. % 81.44/12.03 | | | | | | | | | % 81.44/12.03 | | | | | | | | Case 2: % 81.44/12.03 | | | | | | | | | % 81.44/12.03 | | | | | | | | | (2517) ~ (all_6_24 = e4) % 81.44/12.03 | | | | | | | | | (2518) all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 | % 81.44/12.03 | | | | | | | | | all_6_24 = e0 % 81.44/12.03 | | | | | | | | | % 81.44/12.03 | | | | | | | | | BETA: splitting (165) gives: % 81.44/12.03 | | | | | | | | | % 81.44/12.03 | | | | | | | | | Case 1: % 81.44/12.03 | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | (2519) all_6_17 = e4 % 81.44/12.03 | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | COMBINE_EQS: (462), (2519) imply: % 81.44/12.03 | | | | | | | | | | (2520) all_4_13 = e4 % 81.44/12.03 | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | SIMP: (2520) implies: % 81.44/12.03 | | | | | | | | | | (2521) all_4_13 = e4 % 81.44/12.03 | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | REDUCE: (530), (2521) imply: % 81.44/12.03 | | | | | | | | | | (2522) $false % 81.44/12.03 | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | CLOSE: (2522) is inconsistent. % 81.44/12.03 | | | | | | | | | | % 81.44/12.03 | | | | | | | | | Case 2: % 81.44/12.03 | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | (2523) ~ (all_6_17 = e4) % 81.44/12.03 | | | | | | | | | | (2524) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 | % 81.44/12.03 | | | | | | | | | | all_6_17 = e0 % 81.44/12.03 | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | BETA: splitting (177) gives: % 81.44/12.03 | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | Case 1: % 81.44/12.03 | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | (2525) all_6_2 = e4 % 81.44/12.03 | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | REF_CLOSE: (444), (527), (2525) are inconsistent by sub-proof % 81.44/12.03 | | | | | | | | | | | #168. % 81.44/12.03 | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | Case 2: % 81.44/12.03 | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | (2526) ~ (all_6_2 = e4) % 81.44/12.03 | | | | | | | | | | | (2527) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | % 81.44/12.03 | | | | | | | | | | | all_6_2 = e0 % 81.44/12.03 | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | BETA: splitting (170) gives: % 81.44/12.03 | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | Case 1: % 81.44/12.03 | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | (2528) all_6_11 = e4 % 81.44/12.03 | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | REF_CLOSE: (450), (526), (2528) are inconsistent by sub-proof % 81.44/12.03 | | | | | | | | | | | | #169. % 81.44/12.03 | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | Case 2: % 81.44/12.03 | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | (2529) ~ (all_6_11 = e4) % 81.44/12.03 | | | | | | | | | | | | (2530) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 | % 81.44/12.03 | | | | | | | | | | | | all_6_11 = e0 % 81.44/12.03 | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | BETA: splitting (231) gives: % 81.44/12.03 | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | Case 1: % 81.44/12.03 | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | (2531) all_8_2 = e4 % 81.44/12.03 | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | REF_CLOSE: (390), (2492), (2531) are inconsistent by % 81.44/12.03 | | | | | | | | | | | | | sub-proof #181. % 81.44/12.03 | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | Case 2: % 81.44/12.03 | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | (2532) all_8_3 = e4 | all_8_5 = e4 | all_8_10 = e4 | % 81.44/12.03 | | | | | | | | | | | | | all_8_17 = e4 % 81.44/12.03 | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | BETA: splitting (216) gives: % 81.44/12.03 | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | Case 1: % 81.44/12.03 | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | (2533) all_8_12 = e4 % 81.44/12.03 | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | COMBINE_EQS: (2463), (2533) imply: % 81.44/12.03 | | | | | | | | | | | | | | (2534) e4 = e2 % 81.44/12.03 | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | REDUCE: (2491), (2534) imply: % 81.44/12.03 | | | | | | | | | | | | | | (2535) $false % 81.44/12.03 | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | CLOSE: (2535) is inconsistent. % 81.44/12.03 | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | Case 2: % 81.44/12.03 | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | (2536) ~ (all_8_12 = e4) % 81.44/12.03 | | | | | | | | | | | | | | (2537) all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 | % 81.44/12.03 | | | | | | | | | | | | | | all_8_19 = e4 % 81.44/12.03 | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | REDUCE: (2463), (2536) imply: % 81.44/12.03 | | | | | | | | | | | | | | (2538) ~ (e4 = e2) % 81.44/12.03 | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | BETA: splitting (213) gives: % 81.44/12.03 | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | Case 1: % 81.44/12.03 | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | (2539) all_8_16 = e4 % 81.44/12.03 | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | COMBINE_EQS: (428), (2539) imply: % 81.44/12.03 | | | | | | | | | | | | | | | (2540) all_4_20 = e4 % 81.44/12.03 | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | SIMP: (2540) implies: % 81.44/12.03 | | | | | | | | | | | | | | | (2541) all_4_20 = e4 % 81.44/12.03 | | | | | | | | | | | | | | | % 81.44/12.03 | | | | | | | | | | | | | | | REDUCE: (73), (2541) imply: % 81.44/12.03 | | | | | | | | | | | | | | | (2542) ~ (all_4_5 = e4) % 81.44/12.03 | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | REDUCE: (30), (2541) imply: % 81.44/12.04 | | | | | | | | | | | | | | | (2543) ~ (all_4_15 = e4) % 81.44/12.04 | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | REDUCE: (19), (2541) imply: % 81.44/12.04 | | | | | | | | | | | | | | | (2544) ~ (all_4_21 = e4) % 81.44/12.04 | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | SIMP: (2544) implies: % 81.44/12.04 | | | | | | | | | | | | | | | (2545) ~ (all_4_21 = e4) % 81.44/12.04 | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | REDUCE: (17), (2541) imply: % 81.44/12.04 | | | | | | | | | | | | | | | (2546) ~ (all_4_23 = e4) % 81.44/12.04 | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | SIMP: (2546) implies: % 81.44/12.04 | | | | | | | | | | | | | | | (2547) ~ (all_4_23 = e4) % 81.44/12.04 | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | REDUCE: (541), (2541) imply: % 81.44/12.04 | | | | | | | | | | | | | | | (2548) op(e4, e4) = all_10_57 % 81.44/12.04 | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e0, % 81.44/12.04 | | | | | | | | | | | | | | | all_10_57, e4, e4, simplifying with (7), (2548) % 81.44/12.04 | | | | | | | | | | | | | | | gives: % 81.44/12.04 | | | | | | | | | | | | | | | (2549) all_10_57 = e0 % 81.44/12.04 | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | BETA: splitting (220) gives: % 81.44/12.04 | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | Case 1: % 81.44/12.04 | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | (2550) all_8_9 = e4 % 81.44/12.04 | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | REF_CLOSE: (418), (2543), (2550) are inconsistent by % 81.44/12.04 | | | | | | | | | | | | | | | | sub-proof #164. % 81.44/12.04 | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | Case 2: % 81.44/12.04 | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | (2551) ~ (all_8_9 = e4) % 81.44/12.04 | | | | | | | | | | | | | | | | (2552) all_8_10 = e4 | all_8_11 = e4 | all_8_15 = e4 | % 81.44/12.04 | | | | | | | | | | | | | | | | all_8_23 = e4 % 81.44/12.04 | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | BETA: splitting (235) gives: % 81.44/12.04 | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | Case 1: % 81.44/12.04 | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | (2553) all_8_1 = e4 % 81.44/12.04 | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (2553) imply: % 81.44/12.04 | | | | | | | | | | | | | | | | | (2554) all_4_5 = e4 % 81.44/12.04 | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | REDUCE: (2542), (2554) imply: % 81.44/12.04 | | | | | | | | | | | | | | | | | (2555) $false % 81.44/12.04 | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | CLOSE: (2555) is inconsistent. % 81.44/12.04 | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | Case 2: % 81.44/12.04 | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | (2556) ~ (all_8_1 = e4) % 81.44/12.04 | | | | | | | | | | | | | | | | | (2557) all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 | % 81.44/12.04 | | | | | | | | | | | | | | | | | all_8_21 = e4 % 81.44/12.04 | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | BETA: splitting (178) gives: % 81.44/12.04 | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.04 | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | (2558) all_6_1 = e4 % 81.44/12.04 | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (2558) imply: % 81.44/12.04 | | | | | | | | | | | | | | | | | | (2559) all_4_5 = e4 % 81.44/12.04 | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | SIMP: (2559) implies: % 81.44/12.04 | | | | | | | | | | | | | | | | | | (2560) all_4_5 = e4 % 81.44/12.04 | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | REDUCE: (2542), (2560) imply: % 81.44/12.04 | | | | | | | | | | | | | | | | | | (2561) $false % 81.44/12.04 | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | CLOSE: (2561) is inconsistent. % 81.44/12.04 | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.04 | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | (2562) ~ (all_6_1 = e4) % 81.44/12.04 | | | | | | | | | | | | | | | | | | (2563) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | % 81.44/12.04 | | | | | | | | | | | | | | | | | | all_6_1 = e0 % 81.44/12.04 | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives: % 81.44/12.04 | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | (2564) all_6_19 = e4 % 81.44/12.04 | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (2564) imply: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | (2565) all_4_23 = e4 % 81.44/12.04 | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | REDUCE: (2547), (2565) imply: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | (2566) $false % 81.44/12.04 | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | CLOSE: (2566) is inconsistent. % 81.44/12.04 | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | (2567) all_6_19 = e3 | all_6_19 = e2 | all_6_19 = e1 | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | all_6_19 = e0 % 81.44/12.04 | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | BETA: splitting (176) gives: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | (2568) all_6_3 = e4 % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (454), (2568) imply: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | (2569) all_4_15 = e4 % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | REDUCE: (2543), (2569) imply: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | (2570) $false % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | CLOSE: (2570) is inconsistent. % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | (2571) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | all_6_3 = e0 % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | BETA: splitting (171) gives: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | (2572) all_6_9 = e4 % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (468), (2572) imply: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | (2573) all_4_21 = e4 % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2545), (2573) imply: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | (2574) $false % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2574) is inconsistent. % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | (2575) ~ (all_6_9 = e4) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | (2576) all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1 | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | all_6_9 = e0 % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (2577) (( ~ (all_10_1 = e4) | ~ (unit = e4)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e4) | ~ (unit = e4)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e4) | ~ (unit = e4)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e4) | ~ (unit = e4)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e4) | ~ (unit = e4)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e4) | (all_10_1 = e3 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_18 = e4) | (all_10_4 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_21 = e4) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e3 & ~ (unit = e4))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e4) | (all_10_10 = e3 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_27 = e4) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e3 & ~ (unit = e4))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e4) | (all_10_1 = e2 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_33 = e4) | (all_10_4 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e4))) & ( ~ (all_10_35 = e4) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e2 & ~ (unit = e4))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e4) | (all_10_10 = e2 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_41 = e4) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e2 & ~ (unit = e4))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e4) | (all_10_1 = e1 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_47 = e4) | (all_10_4 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e4))) & ( ~ (all_10_50 = e4) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e1 & ~ (unit = e4))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e4) | (all_10_10 = e1 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_55 = e4) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e4))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e4) | (all_10_1 = e0 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_61 = e4) | (all_10_4 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e4))) & ( ~ (all_10_64 = e4) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_7 = e0 & ~ (unit = e4))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e4) | (all_10_10 = e0 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_69 = e4) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0 & ~ (unit = e4)))) | (( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_16 = e4 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_4 = e3) | (all_10_18 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e3))) & ( ~ (all_10_7 = e3) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e4 & ~ (unit = e3))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e3) | (all_10_24 = e4 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_13 = e3) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e4 & ~ (unit = e3))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e3) | ~ (unit = e3)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e3) | ~ (unit = e3)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e3) | ~ (unit = e3)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e3) | ~ (unit = e3)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e3) | ~ (unit = e3)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e3) | (all_10_16 = e2 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_33 = e3) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e2 & ~ (unit = e3))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e3) | (all_10_21 = e2 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_38 = e3) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e2 & ~ (unit = e3))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_41 = e3) | (all_10_27 = e2 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_44 = e3) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1 & ~ (unit = e3))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e3) | (all_10_18 = e1 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_50 = e3) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e3) | (all_10_24 = e1 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_55 = e3) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e1 & ~ (unit = e3))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e3) | (all_10_16 = e0 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_61 = e3) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0 & ~ (unit = e3))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e3) | (all_10_21 = e0 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_67 = e3) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e0 & ~ (unit = e3))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e3) | (all_10_27 = e0 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e3)))) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (350), (354), (487), (526), (2474), (2577) are % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #184. % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (2578) (( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_4 = e2) | (all_10_33 % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2))) & ( ~ (all_10_7 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | e2) | (all_10_35 = e4 & ~ (unit = e2))) & ( % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_10 = e2) | (all_10_38 = e4 & ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (unit = e2))) & ( ~ (all_10_13 = e2) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_41 = e4 & ~ (unit = e2))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e2) | (all_10_30 = e3 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_18 = e2) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_33 = e3 & ~ (unit = e2))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e2) | (all_10_35 = e3 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_24 = e2) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_30 = e2) | ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_33 = e2) | ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_35 = e2) | ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_38 = e2) | ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_41 = e2) | ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_44 = e2) | (all_10_30 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_47 = e2) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_33 = e1 & ~ (unit = e2))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e2) | (all_10_35 = e1 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_52 = e2) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e1 & ~ (unit = e2))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e2) | (all_10_41 = e1 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_58 = e2) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_64 = e2) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e0 & ~ (unit = e2))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e2) | (all_10_38 = e0 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_69 = e2) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_41 = e0 & ~ (unit = e2)))) | (( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e4 & ~ (unit = e1))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_18 = e1) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e3 & ~ (unit = e1))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_24 = e1) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_30 = e1) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_35 = e1) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e2 & ~ (unit = e1))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_41 = e1) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_61 = e1) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e0 & ~ (unit = e1))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e1) | (all_10_50 = e0 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_67 = e1) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0 & ~ (unit = e1))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e1) | (all_10_55 = e0 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e1)))) | (( ~ (all_10_1 = e0) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_16 = e0) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_21 = e0) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_27 = e0) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_33 = e0) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_38 = e0) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_44 = e0) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_50 = e0) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_55 = e0) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e0) | ~ (unit = e0)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | ~ (unit = e0)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e0) | ~ (unit = e0))) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2578) gives: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (2579) ( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_4 = e2) | (all_10_33 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_7 = e2) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e4 & ~ (unit = e2))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_13 = e2) | (all_10_41 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_16 = e2) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e3 & ~ (unit = e2))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e2) | (all_10_33 = e3 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_21 = e2) | (all_10_35 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_24 = e2) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_30 = e2) | ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_33 = e2) | ~ (unit = e2)) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_10_35 = e2) | ~ (unit = e2)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e2) | ~ (unit = e2)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_41 = e2) | ~ (unit = e2)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e2) | (all_10_30 = e1 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_47 = e2) | (all_10_33 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_50 = e2) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e1 & ~ (unit = e2))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e2) | (all_10_38 = e1 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_55 = e2) | (all_10_41 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_58 = e2) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_64 = e2) | (all_10_35 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_67 = e2) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e0 & ~ (unit = e2))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | e2))) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2579) implies: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (2580) ~ (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | e2)) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (331), (530), (2464), (2580) are inconsistent by % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #139. % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (2581) (( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_4 = e1) | (all_10_47 % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1))) & ( ~ (all_10_7 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | e1) | (all_10_50 = e4 & ~ (unit = e1))) & ( % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | ~ (all_10_10 = e1) | (all_10_52 = e4 & ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (unit = e1))) & ( ~ (all_10_13 = e1) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e4 & ~ (unit = e1))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_18 = e1) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e3 & ~ (unit = e1))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_24 = e1) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_30 = e1) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_35 = e1) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e2 & ~ (unit = e1))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_41 = e1) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_61 = e1) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e0 & ~ (unit = e1))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e1) | (all_10_50 = e0 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_67 = e1) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0 & ~ (unit = e1))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e1) | (all_10_55 = e0 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | = e1)))) | (( ~ (all_10_1 = e0) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_16 = e0) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_21 = e0) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_27 = e0) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_33 = e0) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_38 = e0) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_44 = e0) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_50 = e0) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_55 = e0) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e0) | ~ (unit = e0)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e0) | ~ (unit = e0)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e0) | ~ (unit = e0))) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2581) gives: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (2582) ( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_13 = e1) | (all_10_55 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_16 = e1) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e3 & ~ (unit = e1))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_47 = e3 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_50 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_24 = e1) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_30 = e1) | (all_10_44 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_33 = e1) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e2 & ~ (unit = e1))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e1) | (all_10_50 = e2 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_38 = e1) | (all_10_52 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_41 = e1) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_61 = e1) | (all_10_47 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_64 = e1) | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_50 = e0 & ~ (unit = e1))) & ( ~ % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e1) | (all_10_52 = e0 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_69 = e1) | (all_10_55 = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2582) implies: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (2583) ~ (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | e1)) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (2584) ~ (all_10_30 = e1) | (all_10_44 = e2 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | e1)) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (2585) ~ (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | e1)) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (2586) ~ (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | e1)) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | (2587) ~ (all_10_4 = e1) | (all_10_47 = e4 & ~ (unit = % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | e1)) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2587) gives: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | (2588) ~ (all_10_4 = e1) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (370), (2588) imply: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | (2589) $false % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2589) is inconsistent. % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | (2590) all_10_47 = e4 & ~ (unit = e1) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2590) implies: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | (2591) all_10_47 = e4 % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (2591) imply: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | (2592) all_4_16 = e4 % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2592) implies: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | (2593) all_4_16 = e4 % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (2593) imply: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | (2594) all_10_3 = e4 % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (2593) imply: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | (2595) ~ (all_4_6 = e4) % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2557) gives: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.04 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (2596) all_8_3 = e4 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (400), (2595), (2596) are inconsistent by % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #55. % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | (2597) all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2597) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2598) all_8_7 = e4 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (402), (526), (2598) are inconsistent by sub-proof % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | #138. % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2599) all_8_13 = e4 | all_8_21 = e4 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2537) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2600) all_8_13 = e4 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (2600) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2601) all_4_8 = e4 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2601) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2602) all_4_8 = e4 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (2602) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2603) ~ (all_4_18 = e4) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2603) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2604) ~ (all_4_18 = e4) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2586) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2605) ~ (all_10_21 = e1) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (2605) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2606) ~ (all_4_7 = e1) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2607) (all_10_2 = e3 & ~ (all_10_3 = e4)) | (all_10_5 = % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_10_6 = e4)) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2607) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2608) all_10_2 = e3 & ~ (all_10_3 = e4) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2608) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2609) ~ (all_10_3 = e4) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2594), (2609) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2610) $false % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2610) is inconsistent. % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2611) all_10_5 = e2 & ~ (all_10_6 = e4) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2611) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2612) all_10_5 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (2612) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2613) all_4_5 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (2613) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2614) all_8_1 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (2613) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2615) ~ (all_4_7 = e2) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2615) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2616) ~ (all_4_7 = e2) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (2613) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2617) ~ (all_4_10 = e2) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2617) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2618) ~ (all_4_10 = e2) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (2613) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2619) ~ (all_4_15 = e2) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2619) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2620) ~ (all_4_15 = e2) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (32), (33), (38), (52), (57), (65), (222), % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (223), (225), (233), (236), (328), (331), (345), % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (376), (379), (388), (392), (400), (402), (406), % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (407), (410), (414), (415), (418), (422), (444), % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (489), (499), (509), (511), (530), (2474), (2475), % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2486), (2492), (2527), (2539), (2583), (2584), % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2600), (2604), (2606), (2614), (2616), (2618), % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2620) are inconsistent by sub-proof #119. % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2621) (all_10_8 = e1 & ~ (all_10_9 = e4)) | (all_10_11 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_10_12 = e4)) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2621) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2622) all_10_8 = e1 & ~ (all_10_9 = e4) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2622) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2623) all_10_8 = e1 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2624) ~ (all_10_9 = e4) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2499), (2623) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2625) all_4_10 = e1 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (2625) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2626) all_8_4 = e1 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (2625) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2627) all_10_30 = e1 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (2625) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2628) ~ (all_4_5 = e1) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (527), (2625) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2629) ~ (e4 = e1) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (2625) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2630) op(e2, e1) = all_10_28 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2631) all_8_1 = e1 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (2631) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2632) all_4_5 = e1 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2632) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2633) all_4_5 = e1 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2628), (2633) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2634) $false % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2634) is inconsistent. % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2635) all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_21 = e1 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2635) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2636) all_8_3 = e1 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (400), (509), (2636) are inconsistent by sub-proof % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #122. % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2637) all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2584) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2638) ~ (all_10_30 = e1) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2627), (2638) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2639) $false % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2639) is inconsistent. % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2640) all_10_44 = e2 & ~ (unit = e1) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2640) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2641) all_10_44 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (376), (2641) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2642) all_4_15 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2642) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2643) all_4_15 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (2643) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2644) ~ (all_4_17 = e2) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2644) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2645) ~ (all_4_17 = e2) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2637) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2646) all_8_7 = e1 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (402), (2606), (2646) are inconsistent by % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #121. % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2647) all_8_13 = e1 | all_8_21 = e1 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2647) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2648) all_8_13 = e1 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2492), (2600), (2648) are inconsistent by % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #120. % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2649) all_8_21 = e1 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (2649) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2650) all_4_9 = e1 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2650) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2651) all_4_9 = e1 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (319), (2651) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2652) all_10_27 = e1 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (2651) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2653) ~ (all_4_19 = e1) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2653) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2654) ~ (all_4_19 = e1) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (2651) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2655) ~ (all_4_24 = e1) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2655) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2656) ~ (all_4_24 = e1) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2585) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2657) ~ (all_10_27 = e1) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2652), (2657) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2658) $false % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2658) is inconsistent. % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2659) all_10_55 = e3 & ~ (unit = e1) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2659) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2660) all_10_55 = e3 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (2660) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2661) all_4_19 = e3 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2661) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2662) all_4_19 = e3 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (2662) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2663) all_8_23 = e3 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (2662) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2664) ~ (all_4_14 = e3) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (2662) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2665) ~ (all_4_24 = e3) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2665) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2666) ~ (all_4_24 = e3) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2488), (2662) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2667) ~ (e4 = e3) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2667) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2668) ~ (e4 = e3) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2654), (2662) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2669) ~ (e3 = e1) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1457) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2670) all_8_20 = e0 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2483), (2493), (2670) are inconsistent by % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #54. % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2671) all_8_21 = e0 | all_8_22 = e0 | all_8_23 = e0 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2671) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2672) all_8_21 = e0 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2649), (2672) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2673) e1 = e0 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2673) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2674) e1 = e0 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (2674) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2675) $false % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2675) is inconsistent. % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2676) all_8_22 = e0 | all_8_23 = e0 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2676) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2677) all_8_22 = e0 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (2677) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2678) all_4_14 = e0 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2678) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2679) all_4_14 = e0 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (2679) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2680) ~ (all_4_24 = e0) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (567), (2679) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2681) op(e0, e0) = all_10_40 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2518) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2682) all_6_24 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (2682) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2683) all_4_24 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2683) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2684) all_4_24 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (436), (2684) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2685) all_8_24 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2684) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2686) ~ (all_4_22 = e2) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (2684) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2687) op(e0, e0) = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2688) all_8_6 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (392), (2474), (2688) are inconsistent by % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #163. % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2689) all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2689) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2690) all_8_7 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (2690) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2691) all_4_7 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2691) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2692) all_4_7 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (72), (2692) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2693) ~ (all_4_6 = e2) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (551), (2692) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2694) op(e2, e2) = all_10_20 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (2692) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2695) op(e2, e3) = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (229) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2696) all_8_2 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (2696) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2697) e2 = e1 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2475), (2697) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2698) $false % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2698) is inconsistent. % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2699) ~ (all_8_2 = e2) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2700) all_8_3 = e2 | all_8_5 = e2 | all_8_10 = e2 | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (390), (2699) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2701) ~ (e2 = e1) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2700) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2702) all_8_3 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (2702) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2703) all_4_6 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2703) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2704) all_4_6 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2693), (2704) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2705) $false % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2705) is inconsistent. % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2706) all_8_5 = e2 | all_8_10 = e2 | all_8_17 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2706) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2707) all_8_5 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (2707) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2708) all_4_11 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2708) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2709) all_4_11 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (553), (2709) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2710) op(e2, e2) = all_10_31 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (227) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2711) all_8_4 = e3 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2626), (2711) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2712) e3 = e1 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2669), (2712) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2713) $false % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2713) is inconsistent. % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2714) all_8_5 = e3 | all_8_8 = e3 | all_8_14 = e3 | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_22 = e3 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2714) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2715) all_8_5 = e3 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2707), (2715) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2716) e3 = e2 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2474), (2716) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2717) $false % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2717) is inconsistent. % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2718) all_8_8 = e3 | all_8_14 = e3 | all_8_22 = e3 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2718) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2719) all_8_8 = e3 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (345), (2719) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2720) e4 = e3 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2720) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2721) e4 = e3 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2668), (2721) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2722) $false % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2722) is inconsistent. % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2723) all_8_14 = e3 | all_8_22 = e3 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2723) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2724) all_8_14 = e3 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (414), (2724) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2725) all_4_13 = e3 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2725) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2726) all_4_13 = e3 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (2726) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2727) ~ (all_4_23 = e3) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2727) implies: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2728) ~ (all_4_23 = e3) % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (2726) imply: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2729) op(e2, e3) = all_10_36 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (212) gives: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2730) all_8_16 = e3 % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2539), (2668), (2730) are inconsistent by % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #124. % 81.44/12.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2731) all_8_17 = e3 | all_8_18 = e3 | all_8_19 = e3 | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_24 = e3 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2731) gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2732) all_8_17 = e3 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (2732) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2733) all_4_21 = e3 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2733) implies: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2734) all_4_21 = e3 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17, % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_28, e1, e2, simplifying with (119), (2630) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2735) all_10_28 = all_4_17 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_36, e3, e2, simplifying with (2695), (2729) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2736) all_10_36 = e2 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (305), (534), (2475), (2668), (2681), (2687), % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2694), (2710), (2735), (2736), (function-axioms) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #53. % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2737) all_8_18 = e3 | all_8_19 = e3 | all_8_24 = e3 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2737) gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2738) all_8_18 = e3 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (525), (2738) are inconsistent by sub-proof % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #96. % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2739) all_8_19 = e3 | all_8_24 = e3 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2739) gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2740) all_8_19 = e3 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (434), (2740) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2741) all_4_23 = e3 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2741) implies: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2742) all_4_23 = e3 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2728), (2742) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2743) $false % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2743) is inconsistent. % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2744) all_8_24 = e3 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2685), (2744) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2745) e3 = e2 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2474), (2745) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2746) $false % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2746) is inconsistent. % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2747) all_8_22 = e3 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2677), (2747) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2748) e3 = e0 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (2748) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2749) $false % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2749) is inconsistent. % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2750) ~ (all_8_5 = e2) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (410), (2750) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2751) ~ (all_4_11 = e2) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (226), (345), (410), (414), (2470), (2475), % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2476), (2491), (2626), (2677), (2751) are % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #116. % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2752) all_8_8 = e2 | all_8_11 = e2 | all_8_18 = e2 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (345), (422), (431), (2491), (2645), (2686), % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2752) are inconsistent by sub-proof #52. % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2753) all_6_24 = e3 | all_6_24 = e1 | all_6_24 = e0 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (479), (1458), (2656), (2666), (2753) are % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #49. % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2754) all_8_23 = e0 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (2663), (2754) are inconsistent by % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #48. % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2755) all_10_11 = e0 & ~ (all_10_12 = e4) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2755) implies: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2756) ~ (all_10_12 = e4) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2497), (2756) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2757) $false % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2757) is inconsistent. % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2758) all_10_50 = e3 & ~ (unit = e1) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (343), (523), (2758) are inconsistent by sub-proof % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #152. % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2759) ~ (all_8_13 = e4) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (403), (406), (2486), (2599), (2759) are % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #47. % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (2760) ( ~ (all_10_1 = e0) | (all_10_58 = e4 & ~ (unit = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_4 = e0) | (all_10_61 = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_7 = e0) | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e4 & ~ (unit = e0))) & ( ~ % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_10 = e0) | (all_10_67 = e4 & ~ (unit = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_13 = e0) | (all_10_69 = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_16 = e0) | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_64 = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_24 = e0) | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_67 = e3 & ~ (unit = e0))) & ( ~ % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_27 = e0) | (all_10_69 = e3 & ~ (unit = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_30 = e0) | (all_10_58 = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_33 = e0) | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_38 = e0) | (all_10_67 = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_41 = e0) | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_69 = e2 & ~ (unit = e0))) & ( ~ % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_44 = e0) | (all_10_58 = e1 & ~ (unit = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_47 = e0) | (all_10_61 = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_50 = e0) | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_55 = e0) | (all_10_69 = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_58 = e0) | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_61 = e0) | ~ % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (unit = e0)) & ( ~ (all_10_64 = e0) | ~ (unit = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e0)) & ( ~ (all_10_67 = e0) | ~ (unit = e0)) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | & ( ~ (all_10_69 = e0) | ~ (unit = e0)) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2760) implies: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (2761) ~ (all_10_55 = e0) | (all_10_69 = e1 & ~ (unit = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e0)) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (2762) ~ (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e0)) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (2763) ~ (all_10_50 = e0) | (all_10_64 = e1 & ~ (unit = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e0)) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (2764) ~ (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e0)) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (2765) ~ (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e0)) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (2766) ~ (all_10_38 = e0) | (all_10_67 = e2 & ~ (unit = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e0)) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (2767) ~ (all_10_33 = e0) | (all_10_61 = e2 & ~ (unit = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e0)) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (2768) ~ (all_10_27 = e0) | (all_10_69 = e3 & ~ (unit = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e0)) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (2769) ~ (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e0)) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | (2770) ~ (all_10_21 = e0) | (all_10_64 = e3 & ~ (unit = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | e0)) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | (2771) (all_10_56 = e4 & ~ (all_10_57 = e0)) | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_59 = e3 & ~ (all_10_60 = e0)) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2771) gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (2772) all_10_56 = e4 & ~ (all_10_57 = e0) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2772) implies: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (2773) ~ (all_10_57 = e0) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2549), (2773) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (2774) $false % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2774) is inconsistent. % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (2775) all_10_59 = e3 & ~ (all_10_60 = e0) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2775) implies: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (2776) all_10_59 = e3 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (2777) ~ (all_10_60 = e0) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (2776) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | (2778) op(e0, all_4_21) = e3 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2764) gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2779) ~ (all_10_47 = e0) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (2779) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2780) ~ (all_4_16 = e0) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2766) gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2781) ~ (all_10_38 = e0) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (331), (2781) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2782) ~ (all_4_13 = e0) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2770) gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2783) ~ (all_10_21 = e0) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (2783) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2784) ~ (all_4_7 = e0) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (172) gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2785) all_6_8 = e4 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (2785) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2786) all_4_16 = e4 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2786) implies: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2787) all_4_16 = e4 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (358), (2787) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2788) all_8_10 = e4 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (2787) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2789) all_10_3 = e4 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (2787) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2790) ~ (all_4_6 = e4) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2557) gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2791) all_8_3 = e4 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (400), (2790), (2791) are inconsistent by % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #55. % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2792) all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2792) gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2793) all_8_7 = e4 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (402), (526), (2793) are inconsistent by sub-proof % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #138. % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2794) all_8_13 = e4 | all_8_21 = e4 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2537) gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2795) all_8_13 = e4 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (2795) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2796) all_4_8 = e4 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2796) implies: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2797) all_4_8 = e4 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (2797) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2798) ~ (all_4_18 = e4) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2798) implies: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2799) ~ (all_4_18 = e4) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2800) (all_10_2 = e3 & ~ (all_10_3 = e4)) | (all_10_5 = % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_10_6 = e4)) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2800) gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2801) all_10_2 = e3 & ~ (all_10_3 = e4) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2801) implies: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2802) ~ (all_10_3 = e4) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2789), (2802) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2803) $false % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2803) is inconsistent. % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2804) all_10_5 = e2 & ~ (all_10_6 = e4) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2804) implies: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2805) all_10_5 = e2 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (2805) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2806) all_4_5 = e2 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (2806) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2807) ~ (all_4_7 = e2) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2807) implies: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2808) ~ (all_4_7 = e2) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (2806) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2809) ~ (all_4_10 = e2) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2809) implies: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2810) ~ (all_4_10 = e2) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2530) gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2811) all_6_11 = e2 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (2808), (2811) are inconsistent by % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #150. % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2812) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2812) gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2813) all_6_11 = e3 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (521), (2813) are inconsistent by sub-proof % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #149. % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2814) all_6_11 = e1 | all_6_11 = e0 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2814) gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2815) all_6_11 = e1 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (2815) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2816) all_4_7 = e1 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2816) implies: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2817) all_4_7 = e1 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (2817) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2818) ~ (all_4_9 = e1) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2818) implies: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2819) ~ (all_4_9 = e1) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (2817) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2820) ~ (all_4_17 = e1) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2820) implies: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2821) ~ (all_4_17 = e1) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (2817) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2822) ~ (all_4_22 = e1) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2822) implies: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2823) ~ (all_4_22 = e1) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2763) gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2824) ~ (all_10_50 = e0) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (2824) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2825) ~ (all_4_17 = e0) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2506) gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2826) all_6_13 = e2 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (457), (2826) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2827) all_4_17 = e2 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2827) implies: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2828) all_4_17 = e2 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (23), (2828) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2829) ~ (all_4_22 = e2) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2829) implies: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2830) ~ (all_4_22 = e2) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2512) gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2831) all_6_14 = e2 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (2830), (2831) are inconsistent by % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #46. % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2832) ~ (all_6_14 = e2) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2833) all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2833) gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2834) all_6_14 = e3 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (525), (2834) are inconsistent by sub-proof % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #146. % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2835) all_6_14 = e1 | all_6_14 = e0 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2835) gives: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2836) all_6_14 = e1 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (2823), (2836) are inconsistent by % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #145. % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2837) all_6_14 = e0 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (2837) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2838) all_4_22 = e0 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2838) implies: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2839) all_4_22 = e0 % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (2839) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2840) ~ (all_4_21 = e0) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (2839) imply: % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2841) ~ (all_4_23 = e0) % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2841) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2842) ~ (all_4_23 = e0) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2839) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2843) ~ (all_4_24 = e0) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (2839) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2844) ~ (e4 = e0) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2830), (2839) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2845) ~ (e2 = e0) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (571), (2839) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2846) op(e0, e0) = all_10_62 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2847) all_8_12 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2463), (2476), (2847) are inconsistent by % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #97. % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2848) all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2848) gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2849) all_8_13 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2493), (2795), (2849) are inconsistent by % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #106. % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2850) all_8_14 = e0 | all_8_15 = e0 | all_8_19 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2850) gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2851) all_8_14 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (414), (2782), (2851) are inconsistent by % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #91. % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2852) all_8_15 = e0 | all_8_19 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2852) gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2853) all_8_15 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (2853) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2854) all_4_18 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2854) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2855) all_4_18 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (2855) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2856) all_10_52 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2762) gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2857) ~ (all_10_52 = e0) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2856), (2857) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2858) $false % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2858) is inconsistent. % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2859) all_10_67 = e1 & ~ (unit = e0) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2859) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2860) all_10_67 = e1 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (325), (2860) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2861) all_4_23 = e1 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2861) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2862) all_4_23 = e1 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (2862) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2863) ~ (all_4_13 = e1) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2862) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2864) ~ (all_4_24 = e1) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2864) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2865) ~ (all_4_24 = e1) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2524) gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2866) all_6_17 = e2 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (2470), (2866) are inconsistent by % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45. % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2867) all_6_17 = e3 | all_6_17 = e1 | all_6_17 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2867) gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2868) all_6_17 = e3 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (2868) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2869) all_4_13 = e3 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2869) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2870) all_4_13 = e3 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (2870) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2871) ~ (all_4_10 = e3) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (2870) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2872) ~ (all_4_11 = e3) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (2870) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2873) ~ (all_4_14 = e3) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2873) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2874) ~ (all_4_14 = e3) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (530), (2870) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2875) ~ (e4 = e3) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2875) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2876) ~ (e4 = e3) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2527) gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2877) all_6_2 = e2 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (2810), (2877) are inconsistent by % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #78. % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2878) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2878) gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2879) all_6_2 = e3 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (2871), (2879) are inconsistent by % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #77. % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2880) all_6_2 = e1 | all_6_2 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2880) gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2881) all_6_2 = e1 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (444), (2881) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2882) all_4_10 = e1 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2882) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2883) all_4_10 = e1 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (2883) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2884) ~ (all_4_14 = e1) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2884) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2885) ~ (all_4_14 = e1) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (35), (44), (46), (55), (108), (110), (126), % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (161), (208), (211), (228), (310), (319), % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (357), (363), (390), (400), (406), (410), (430), % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (446), (468), (475), (477), (479), (489), (511), % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515), (532), (546), (549), (567), (1458), (2483), % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2486), (2491), (2493), (2503), (2518), (2539), % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2576), (2767), (2768), (2777), (2778), (2788), % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2819), (2840), (2846), (2865), (2872), (2874), % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2876), (2885), (function-axioms) are inconsistent % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #36. % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2886) all_6_2 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (444), (499), (2886) are inconsistent by sub-proof % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #156. % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2887) all_6_17 = e1 | all_6_17 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (2782), (2863), (2887) are inconsistent by % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #35. % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2888) all_8_19 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (434), (2842), (2888) are inconsistent by % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #105. % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2889) all_6_13 = e3 | all_6_13 = e1 | all_6_13 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (457), (523), (2821), (2825), (2889) are % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #110. % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2890) all_10_64 = e1 & ~ (unit = e0) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (340), (2823), (2890) are inconsistent by % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #66. % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2891) all_6_11 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (2784), (2891) are inconsistent by % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #143. % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2892) (all_10_8 = e1 & ~ (all_10_9 = e4)) | (all_10_11 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_10_12 = e4)) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2892) gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2893) all_10_8 = e1 & ~ (all_10_9 = e4) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2893) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2894) all_10_8 = e1 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2499), (2894) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2895) all_4_10 = e1 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (2895) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2896) ~ (all_4_5 = e1) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (2895) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2897) ~ (all_4_13 = e1) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2897) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2898) ~ (all_4_13 = e1) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (2895) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2899) ~ (all_4_14 = e1) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2899) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2900) ~ (all_4_14 = e1) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (2895) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2901) ~ (all_4_15 = e1) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2901) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2902) ~ (all_4_15 = e1) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (527), (2895) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2903) ~ (e4 = e1) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (2895) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2904) op(e2, e1) = all_10_28 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2524) gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2905) all_6_17 = e2 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (2470), (2905) are inconsistent by % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45. % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2906) all_6_17 = e3 | all_6_17 = e1 | all_6_17 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2906) gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2907) all_6_17 = e3 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (2907) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2908) all_4_13 = e3 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2908) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2909) all_4_13 = e3 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (2909) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2910) ~ (all_4_11 = e3) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (2909) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2911) ~ (all_4_14 = e3) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2911) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2912) ~ (all_4_14 = e3) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (2909) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2913) ~ (all_4_18 = e3) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2913) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2914) ~ (all_4_18 = e3) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (2909) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2915) ~ (all_4_23 = e3) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2915) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2916) ~ (all_4_23 = e3) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (2909) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2917) op(e2, e3) = all_10_36 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17, % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_28, e1, e2, simplifying with (119), (2904) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2918) all_10_28 = all_4_17 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_7, % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_36, e3, e2, simplifying with (121), (2917) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2919) all_10_36 = all_4_7 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2920) all_8_9 = e3 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (2920) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2921) all_4_15 = e3 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (2921) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2922) ~ (all_4_5 = e3) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2543), (2921) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2923) ~ (e4 = e3) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2923) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2924) ~ (e4 = e3) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2563) gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2925) all_6_1 = e2 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (2925) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2926) all_4_5 = e2 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2926) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2927) all_4_5 = e2 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (2927) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2928) ~ (all_4_7 = e2) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2928) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2929) ~ (all_4_7 = e2) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2530) gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2930) all_6_11 = e2 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (2930) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2931) all_4_7 = e2 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2929), (2931) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2932) $false % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2932) is inconsistent. % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2933) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2933) gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2934) all_6_11 = e3 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (2934) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2935) all_4_7 = e3 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (521), (2935) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2936) $false % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2936) is inconsistent. % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2937) all_6_11 = e1 | all_6_11 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2937) gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2938) all_6_11 = e1 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (2938) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2939) all_4_7 = e1 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (2939) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2940) all_8_7 = e1 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (65), (2939) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2941) ~ (all_4_9 = e1) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2941) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2942) ~ (all_4_9 = e1) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (2939) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2943) ~ (all_4_17 = e1) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2943) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2944) ~ (all_4_17 = e1) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (2939) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2945) ~ (all_4_22 = e1) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2945) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2946) ~ (all_4_22 = e1) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2763) gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2947) ~ (all_10_50 = e0) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (2947) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2948) ~ (all_4_17 = e0) % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2949) all_8_6 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (2949) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2950) e3 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (2950) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2951) $false % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2951) is inconsistent. % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2952) all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2952) gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2953) all_8_7 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2940), (2953) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2954) e1 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (2954) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955) $false % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2955) is inconsistent. % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2956) all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2956) gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2957) all_8_8 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (345), (2957) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2958) e4 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2493), (2958) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2959) $false % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2959) is inconsistent. % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2960) all_8_11 = e0 | all_8_18 = e0 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2506) gives: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2961) all_6_13 = e2 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (457), (2961) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2962) all_4_17 = e2 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2962) implies: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2963) all_4_17 = e2 % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (2963) imply: % 81.44/12.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2964) all_8_11 = e2 % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2960) gives: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2965) all_8_11 = e0 % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2964), (2965) imply: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2966) e2 = e0 % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2476), (2966) imply: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2967) $false % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2967) is inconsistent. % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2968) all_8_18 = e0 % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (2968) imply: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2969) all_4_22 = e0 % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2969) implies: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2970) all_4_22 = e0 % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (2970) imply: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2971) ~ (all_4_21 = e0) % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (2970) imply: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2972) ~ (all_4_23 = e0) % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2972) implies: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2973) ~ (all_4_23 = e0) % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (2970) imply: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2974) ~ (all_4_24 = e0) % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (2970) imply: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2975) ~ (e4 = e0) % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (571), (2970) imply: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2976) op(e0, e0) = all_10_62 % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2567) gives: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2977) all_6_19 = e2 % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (2472), (2977) are inconsistent by % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #114. % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2978) all_6_19 = e3 | all_6_19 = e1 | all_6_19 = e0 % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2978) gives: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2979) all_6_19 = e3 % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (2916), (2979) are inconsistent by % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #113. % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2980) all_6_19 = e1 | all_6_19 = e0 % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2980) gives: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2981) all_6_19 = e1 % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (2981) imply: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2982) all_4_23 = e1 % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2982) implies: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2983) all_4_23 = e1 % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2983) imply: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2984) ~ (all_4_24 = e1) % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2984) implies: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2985) ~ (all_4_24 = e1) % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (35), (44), (46), (55), (108), (110), (126), % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (160), (161), (208), (211), (228), (310), (319), % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (357), (363), (390), (400), (406), (410), (430), % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (446), (468), (475), (477), (479), (489), (511), % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (515), (532), (546), (549), (567), (1458), (2483), % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2486), (2491), (2493), (2503), (2518), (2539), % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2576), (2767), (2768), (2777), (2778), (2788), % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2900), (2910), (2912), (2924), (2942), (2971), % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2976), (2985), (function-axioms) are inconsistent % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #36. % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2986) all_6_19 = e0 % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (2973), (2986) are inconsistent by % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #109. % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2987) all_6_13 = e3 | all_6_13 = e1 | all_6_13 = e0 % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (457), (523), (2944), (2948), (2987) are % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #110. % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2988) all_10_64 = e1 & ~ (unit = e0) % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (340), (2946), (2988) are inconsistent by % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #66. % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2989) all_6_11 = e0 % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (2989) imply: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2990) all_4_7 = e0 % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2784), (2990) imply: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2991) $false % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2991) is inconsistent. % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2992) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0 % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (497), (2896), (2922), (2992) are % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #34. % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2993) ~ (all_8_9 = e3) % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2994) all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e3 % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (418), (2993) imply: % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2995) ~ (all_4_15 = e3) % 81.44/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (20), (31), (44), (55), (56), (57), (65), % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (74), (78), (79), (108), (161), (206), (230), % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (305), (310), (316), (319), (357), (363), % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (388), (390), (397), (400), (406), (410), (415), % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (422), (424), (425), (430), (439), (446), (450), % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (454), (475), (491), (497), (501), (511), (523), % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (534), (551), (553), (567), (1457), (2483), % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2486), (2488), (2492), (2493), (2503), (2530), % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2542), (2563), (2571), (2765), (2767), (2768), % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2784), (2788), (2896), (2902), (2910), (2914), % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2918), (2919), (2994), (2995), (function-axioms) % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #31. % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2996) all_6_17 = e1 | all_6_17 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (2782), (2898), (2996) are inconsistent by % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #35. % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2997) all_10_11 = e0 & ~ (all_10_12 = e4) % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2997) implies: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2998) ~ (all_10_12 = e4) % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2497), (2998) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2999) $false % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2999) is inconsistent. % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3000) ~ (all_8_13 = e4) % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (403), (406), (2486), (2794), (3000) are % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #47. % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3001) ~ (all_6_8 = e4) % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3002) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_8 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (455), (3001) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3003) ~ (all_4_16 = e4) % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2552) gives: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3004) all_8_10 = e4 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (358), (3003), (3004) are inconsistent by % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #178. % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3005) ~ (all_8_10 = e4) % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3006) all_8_11 = e4 | all_8_15 = e4 | all_8_23 = e4 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3006) gives: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3007) all_8_11 = e4 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (534), (3007) are inconsistent by sub-proof % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #85. % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3008) all_8_15 = e4 | all_8_23 = e4 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2532) gives: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3009) all_8_3 = e4 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (3009) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3010) all_4_6 = e4 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3010) implies: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3011) all_4_6 = e4 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3008) gives: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3012) all_8_15 = e4 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (3012) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3013) all_4_18 = e4 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3013) implies: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3014) all_4_18 = e4 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3015) all_8_6 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (3015) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3016) e3 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (3016) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3017) $false % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3017) is inconsistent. % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3018) all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3019) all_8_1 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (3019) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3020) all_4_5 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (497), (3020) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3021) $false % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3021) is inconsistent. % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3022) ~ (all_8_1 = e0) % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3023) all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_21 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3024) all_8_2 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (3024) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3025) e1 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (3025) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3026) $false % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3026) is inconsistent. % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3027) all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (224) gives: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3028) all_8_4 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (3028) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3029) all_4_10 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (499), (3029) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3030) $false % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3030) is inconsistent. % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3031) all_8_5 = e0 | all_8_8 = e0 | all_8_14 = e0 | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_22 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3032) all_8_12 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2463), (2476), (3032) are inconsistent by % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #97. % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3033) all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3034) (all_10_2 = e3 & ~ (all_10_3 = e4)) | (all_10_5 = % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_10_6 = e4)) % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3034) gives: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3035) all_10_2 = e3 & ~ (all_10_3 = e4) % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3035) implies: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3036) all_10_2 = e3 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (575), (3036) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3037) all_4_15 = e3 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (3037) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3038) ~ (all_4_5 = e3) % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (3037) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3039) ~ (all_4_16 = e3) % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3039) implies: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3040) ~ (all_4_16 = e3) % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2543), (3037) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3041) ~ (e4 = e3) % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3041) implies: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3042) ~ (e4 = e3) % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3002) gives: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3043) all_6_8 = e2 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (3043) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3044) all_4_16 = e2 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3044) implies: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3045) all_4_16 = e2 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (358), (3045) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3046) all_8_10 = e2 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (26), (3045) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3047) ~ (all_4_21 = e2) % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3047) implies: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3048) ~ (all_4_21 = e2) % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2767) gives: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3049) ~ (all_10_33 = e0) % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (3049) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3050) ~ (all_4_11 = e0) % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3027) gives: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3051) all_8_3 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3009), (3051) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3052) e4 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2493), (3052) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3053) $false % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3053) is inconsistent. % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3054) all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3054) gives: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3055) all_8_5 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (3055) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3056) all_4_11 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3050), (3056) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3057) $false % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3057) is inconsistent. % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3058) all_8_10 = e0 | all_8_17 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3058) gives: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3059) all_8_10 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3046), (3059) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3060) e2 = e0 % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2476), (3060) imply: % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3061) $false % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3061) is inconsistent. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3062) all_8_17 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (3062) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3063) all_4_21 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3063) implies: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3064) all_4_21 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (3064) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3065) ~ (all_4_23 = e0) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3065) implies: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3066) ~ (all_4_23 = e0) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2545), (3064) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3067) ~ (e4 = e0) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2778), (3064) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3068) op(e0, e0) = e3 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3033) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3069) all_8_13 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3070) all_8_1 = e3 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (397), (3038), (3070) are inconsistent by % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #30. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3071) all_8_3 = e3 | all_8_7 = e3 | all_8_13 = e3 | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_21 = e3 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3071) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3072) all_8_3 = e3 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3009), (3042), (3072) are inconsistent by % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #29. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3073) all_8_7 = e3 | all_8_13 = e3 | all_8_21 = e3 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3073) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3074) all_8_7 = e3 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (402), (521), (3074) are inconsistent by sub-proof % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #28. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3075) all_8_13 = e3 | all_8_21 = e3 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3075) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3076) all_8_13 = e3 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (3069), (3076) are inconsistent by % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #27. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3077) all_8_21 = e3 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (3077) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3078) all_4_9 = e3 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3078) implies: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3079) all_4_9 = e3 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (3079) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3080) ~ (all_4_24 = e3) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3080) implies: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3081) ~ (all_4_24 = e3) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_24, e3, % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, e0, simplifying with (108), (3068) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3082) all_4_24 = e3 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3081), (3082) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3083) $false % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3083) is inconsistent. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3084) all_8_14 = e0 | all_8_15 = e0 | all_8_19 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (414), (434), (2493), (2782), (3012), (3066), % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3084) are inconsistent by sub-proof #25. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3085) all_10_61 = e2 & ~ (unit = e0) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (357), (3048), (3085) are inconsistent by % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #175. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3086) all_6_8 = e3 | all_6_8 = e1 | all_6_8 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (513), (2780), (3040), (3086) are % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #171. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3087) all_10_5 = e2 & ~ (all_10_6 = e4) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3087) implies: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3088) all_10_5 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (3088) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3089) all_4_5 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (3089) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3090) ~ (all_4_7 = e2) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3090) implies: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3091) ~ (all_4_7 = e2) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (3089) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3092) ~ (all_4_9 = e2) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3092) implies: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3093) ~ (all_4_9 = e2) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (3089) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3094) ~ (all_4_10 = e2) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3094) implies: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3095) ~ (all_4_10 = e2) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2530) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3096) all_6_11 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (3091), (3096) are inconsistent by % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #150. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3097) ~ (all_6_11 = e2) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3098) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3098) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3099) all_6_11 = e3 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (521), (3099) are inconsistent by sub-proof % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #149. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3100) all_6_11 = e1 | all_6_11 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3100) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3101) all_6_11 = e1 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (3101) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3102) all_4_7 = e1 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3102) implies: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3103) all_4_7 = e1 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (3103) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3104) all_8_7 = e1 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (3103) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3105) ~ (all_4_22 = e1) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3105) implies: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3106) ~ (all_4_22 = e1) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3091), (3103) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3107) ~ (e2 = e1) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2763) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3108) ~ (all_10_50 = e0) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (3108) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3109) ~ (all_4_17 = e0) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3018) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3110) all_8_7 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3104), (3110) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3111) e1 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (3111) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3112) $false % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3112) is inconsistent. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3113) all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3113) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3114) all_8_8 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (345), (3114) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3115) e4 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2493), (3115) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3116) $false % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3116) is inconsistent. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3117) all_8_11 = e0 | all_8_18 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3117) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3118) all_8_11 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (3118) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3119) all_4_17 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3109), (3119) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3120) $false % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3120) is inconsistent. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3121) all_8_18 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (3121) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3122) all_4_22 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3122) implies: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3123) all_4_22 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (3123) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3124) ~ (all_4_21 = e0) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (3123) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3125) ~ (e4 = e0) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3126) all_8_6 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (3126) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3127) e3 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2474), (3127) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3128) $false % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3128) is inconsistent. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3129) all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3129) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3130) all_8_7 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2475), (3104), (3130) are inconsistent by % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #24. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3131) all_8_8 = e2 | all_8_11 = e2 | all_8_18 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3131) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3132) all_8_8 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (345), (3132) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3133) e4 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2491), (3133) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3134) $false % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3134) is inconsistent. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3135) all_8_11 = e2 | all_8_18 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3135) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3136) all_8_11 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (3136) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3137) all_4_17 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (3137) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3138) ~ (all_4_16 = e2) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3027) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3139) all_8_3 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2493), (3009), (3139) are inconsistent by % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #180. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3140) all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3140) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3141) all_8_5 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (3141) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3142) all_4_11 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3142) implies: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3143) all_4_11 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (363), (3143) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3144) all_10_33 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (3143) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3145) ~ (all_4_16 = e0) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3002) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3146) all_6_8 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (3138), (3146) are inconsistent by % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #69. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3147) all_6_8 = e3 | all_6_8 = e1 | all_6_8 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3148) all_8_4 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (407), (3095), (3148) are inconsistent by % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #23. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3149) all_8_5 = e2 | all_8_8 = e2 | all_8_14 = e2 | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_22 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3147) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3150) all_6_8 = e3 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (3150) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3151) all_4_16 = e3 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3151) implies: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3152) all_4_16 = e3 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (26), (3152) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3153) ~ (all_4_21 = e3) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3153) implies: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3154) ~ (all_4_21 = e3) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3155) all_8_20 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2483), (2491), (3155) are inconsistent by % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #118. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3156) ~ (all_8_20 = e2) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3157) all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_24 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3149) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3158) all_8_5 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3141), (3158) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3159) e2 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2476), (3159) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3160) $false % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3160) is inconsistent. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3161) all_8_8 = e2 | all_8_14 = e2 | all_8_22 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3157) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3162) all_8_21 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (406), (3093), (3162) are inconsistent by % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #130. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3163) all_8_22 = e2 | all_8_23 = e2 | all_8_24 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3163) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3164) all_8_22 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (3164) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3165) all_4_14 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (211), (357), (430), (532), (567), (2539), % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767), (2778), (3144), (3154), (3165), % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #22. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3166) ~ (all_8_22 = e2) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (345), (414), (415), (2470), (2491), (3161), % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3166) are inconsistent by sub-proof #127. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3167) all_6_8 = e1 | all_6_8 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (513), (2780), (3167) are inconsistent by % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #172. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3168) all_8_10 = e0 | all_8_17 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (358), (430), (455), (513), (2780), (3002), % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3124), (3138), (3168) are inconsistent by % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #21. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3169) all_8_18 = e2 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3121), (3169) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3170) e2 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2476), (3170) imply: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3171) $false % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3171) is inconsistent. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3172) all_10_64 = e1 & ~ (unit = e0) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (340), (3106), (3172) are inconsistent by % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #66. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3173) all_6_11 = e0 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (2784), (3173) are inconsistent by % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #143. % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3174) (all_10_8 = e1 & ~ (all_10_9 = e4)) | (all_10_11 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_10_12 = e4)) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3174) gives: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3175) all_10_8 = e1 & ~ (all_10_9 = e4) % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3175) implies: % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3176) all_10_8 = e1 % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2499), (3176) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3177) all_4_10 = e1 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (3177) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3178) ~ (all_4_13 = e1) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3178) implies: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3179) ~ (all_4_13 = e1) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (3177) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3180) ~ (all_4_14 = e1) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3180) implies: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3181) ~ (all_4_14 = e1) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2524) gives: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3182) all_6_17 = e2 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (2470), (3182) are inconsistent by % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45. % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3183) all_6_17 = e3 | all_6_17 = e1 | all_6_17 = e0 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3183) gives: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3184) all_6_17 = e3 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (3184) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3185) all_4_13 = e3 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3185) implies: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3186) all_4_13 = e3 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (3186) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3187) ~ (all_4_23 = e3) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3187) implies: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3188) ~ (all_4_23 = e3) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3023) gives: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3189) all_8_3 = e0 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3009), (3189) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3190) e4 = e0 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2493), (3190) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3191) $false % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3191) is inconsistent. % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3192) all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3192) gives: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3193) all_8_7 = e0 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (3193) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3194) all_4_7 = e0 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2784), (3194) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3195) $false % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3195) is inconsistent. % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3196) all_8_13 = e0 | all_8_21 = e0 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3196) gives: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3197) all_8_13 = e0 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (325), (334), (403), (2769), (3188), (3197) are % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #57. % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3198) all_8_21 = e0 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (3198) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3199) all_4_9 = e0 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3199) implies: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3200) all_4_9 = e0 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (319), (3200) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3201) all_10_27 = e0 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (3200) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3202) ~ (all_4_14 = e0) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3202) implies: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3203) ~ (all_4_14 = e0) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2486), (3200) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3204) ~ (e4 = e0) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3205) all_6_22 = e4 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (3205) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3206) all_4_14 = e4 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (532), (3206) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3207) $false % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3207) is inconsistent. % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3208) ~ (all_6_22 = e4) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3209) all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e1 | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_22 = e0 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2768) gives: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3210) ~ (all_10_27 = e0) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3201), (3210) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3211) $false % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3211) is inconsistent. % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3212) all_10_69 = e3 & ~ (unit = e0) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3212) implies: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3213) all_10_69 = e3 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (3213) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3214) all_4_24 = e3 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3214) implies: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3215) all_4_24 = e3 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (3215) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3216) ~ (all_4_14 = e3) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (3215) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3217) ~ (all_4_21 = e3) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3031) gives: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3218) all_8_5 = e0 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (3218) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3219) all_4_11 = e0 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3219) implies: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3220) all_4_11 = e0 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (363), (3220) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3221) all_10_33 = e0 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3209) gives: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3222) all_6_22 = e2 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (3222) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3223) all_4_14 = e2 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (110), (211), (357), (430), (532), (567), (2539), % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767), (2778), (3217), (3221), (3223), % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #22. % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3224) all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (3181), (3203), (3216), (3224) are % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #101. % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3225) all_8_8 = e0 | all_8_14 = e0 | all_8_22 = e0 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (345), (414), (415), (2493), (2782), (3203), % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3225) are inconsistent by sub-proof #89. % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3226) all_6_17 = e1 | all_6_17 = e0 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (2782), (3179), (3226) are inconsistent by % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #35. % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3227) all_10_11 = e0 & ~ (all_10_12 = e4) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3227) implies: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3228) ~ (all_10_12 = e4) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2497), (3228) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3229) $false % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3229) is inconsistent. % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3230) all_8_23 = e4 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (425), (2488), (3230) are inconsistent by % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #20. % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3231) all_8_5 = e4 | all_8_10 = e4 | all_8_17 = e4 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (358), (410), (430), (528), (2545), (3003), (3231) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #176. % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3232) all_10_64 = e3 & ~ (unit = e0) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (340), (525), (3232) are inconsistent by sub-proof % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #142. % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3233) all_10_67 = e2 & ~ (unit = e0) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (325), (2472), (3233) are inconsistent by % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #19. % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3234) all_10_61 = e1 & ~ (unit = e0) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (357), (515), (3234) are inconsistent by sub-proof % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | #170. % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | (3235) (all_10_62 = e2 & ~ (all_10_63 = e0)) | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_65 = e1 & ~ (all_10_66 = e0)) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3235) gives: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3236) all_10_62 = e2 & ~ (all_10_63 = e0) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3236) implies: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3237) all_10_62 = e2 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3238) ~ (all_10_63 = e0) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (571), (3237) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (3239) op(e0, all_4_22) = e2 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2764) gives: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3240) ~ (all_10_47 = e0) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (3240) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3241) ~ (all_4_16 = e0) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2766) gives: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3242) ~ (all_10_38 = e0) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (331), (3242) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3243) ~ (all_4_13 = e0) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2770) gives: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3244) ~ (all_10_21 = e0) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (3244) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3245) ~ (all_4_7 = e0) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (172) gives: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3246) all_6_8 = e4 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (3246) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3247) all_4_16 = e4 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3247) implies: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3248) all_4_16 = e4 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (358), (3248) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3249) all_8_10 = e4 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (3248) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3250) all_10_3 = e4 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3251) (all_10_2 = e3 & ~ (all_10_3 = e4)) | (all_10_5 = % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_10_6 = e4)) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3251) gives: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3252) all_10_2 = e3 & ~ (all_10_3 = e4) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3252) implies: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3253) ~ (all_10_3 = e4) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3250), (3253) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3254) $false % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3254) is inconsistent. % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3255) all_10_5 = e2 & ~ (all_10_6 = e4) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3255) implies: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3256) all_10_5 = e2 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (3256) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3257) all_4_5 = e2 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (3257) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3258) ~ (all_4_7 = e2) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3258) implies: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3259) ~ (all_4_7 = e2) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (62), (63), (118), (340), (343), (450), % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (457), (470), (521), (523), (525), (556), (2506), % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2512), (2530), (2763), (3238), (3245), (3259), % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #18. % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3260) (all_10_8 = e1 & ~ (all_10_9 = e4)) | (all_10_11 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_10_12 = e4)) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3260) gives: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3261) all_10_8 = e1 & ~ (all_10_9 = e4) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3261) implies: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3262) all_10_8 = e1 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2499), (3262) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3263) all_4_10 = e1 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (3263) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3264) ~ (all_4_5 = e1) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (3263) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3265) ~ (all_4_13 = e1) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3265) implies: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3266) ~ (all_4_13 = e1) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (3263) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3267) ~ (all_4_15 = e1) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3267) implies: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3268) ~ (all_4_15 = e1) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (527), (3263) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3269) ~ (e4 = e1) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (552), (3263) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3270) op(e2, e1) = all_10_28 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2524) gives: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3271) all_6_17 = e2 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (2470), (3271) are inconsistent by % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45. % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3272) all_6_17 = e3 | all_6_17 = e1 | all_6_17 = e0 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3272) gives: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3273) all_6_17 = e3 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (3273) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3274) all_4_13 = e3 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3274) implies: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3275) all_4_13 = e3 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (3275) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3276) ~ (all_4_11 = e3) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (3275) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3277) ~ (all_4_18 = e3) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3277) implies: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3278) ~ (all_4_18 = e3) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (554), (3275) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3279) op(e2, e3) = all_10_36 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_17, % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_28, e1, e2, simplifying with (119), (3270) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3280) all_10_28 = all_4_17 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_7, % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_36, e3, e2, simplifying with (121), (3279) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3281) all_10_36 = all_4_7 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (219) gives: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3282) all_8_9 = e3 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (3282) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3283) all_4_15 = e3 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (3283) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3284) ~ (all_4_5 = e3) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2563) gives: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3285) all_6_1 = e2 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (439), (3285) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3286) all_4_5 = e2 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3286) implies: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3287) all_4_5 = e2 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (3287) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3288) ~ (all_4_7 = e2) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3288) implies: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3289) ~ (all_4_7 = e2) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (62), (63), (118), (340), (343), (450), % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (457), (470), (521), (523), (525), (556), (2506), % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2512), (2530), (2763), (3238), (3245), (3289), % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (function-axioms) are inconsistent by sub-proof % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #18. % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3290) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (439), (497), (3264), (3284), (3290) are % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #34. % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3291) ~ (all_8_9 = e3) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3292) all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e3 % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (418), (3291) imply: % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3293) ~ (all_4_15 = e3) % 81.81/12.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (20), (31), (44), (55), (56), (57), (65), % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (74), (78), (79), (108), (161), (206), (230), % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (238), (305), (310), (316), (319), (357), (363), % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (388), (390), (397), (400), (406), (410), (415), % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (422), (424), (425), (430), (439), (446), (450), % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (454), (475), (491), (497), (501), (511), (523), % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (534), (551), (553), (567), (1457), (2483), % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2486), (2488), (2492), (2493), (2503), (2530), % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2542), (2563), (2571), (2765), (2767), (2768), % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3245), (3249), (3264), (3268), (3276), (3278), % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3280), (3281), (3292), (3293), (function-axioms) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #31. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3294) all_6_17 = e1 | all_6_17 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (3243), (3266), (3294) are inconsistent by % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #35. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3295) all_10_11 = e0 & ~ (all_10_12 = e4) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3295) implies: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3296) ~ (all_10_12 = e4) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2497), (3296) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3297) $false % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3297) is inconsistent. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3298) ~ (all_6_8 = e4) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3299) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_8 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (455), (3298) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3300) ~ (all_4_16 = e4) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2552) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3301) all_8_10 = e4 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (358), (3300), (3301) are inconsistent by % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #178. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3302) ~ (all_8_10 = e4) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3303) all_8_11 = e4 | all_8_15 = e4 | all_8_23 = e4 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3303) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3304) all_8_11 = e4 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (534), (3304) are inconsistent by sub-proof % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #85. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3305) all_8_15 = e4 | all_8_23 = e4 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2532) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3306) all_8_3 = e4 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (3306) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3307) all_4_6 = e4 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3307) implies: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3308) all_4_6 = e4 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3305) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3309) all_8_15 = e4 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (3309) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3310) all_4_18 = e4 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3310) implies: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3311) all_4_18 = e4 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3312) all_8_6 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (3312) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3313) e3 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (3313) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3314) $false % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3314) is inconsistent. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3315) all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3316) all_8_9 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (3316) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3317) all_4_15 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (501), (3317) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3318) $false % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3318) is inconsistent. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3319) all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3320) all_8_1 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (3320) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3321) all_4_5 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (497), (3321) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3322) $false % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3322) is inconsistent. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3323) ~ (all_8_1 = e0) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3324) all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_21 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3325) all_8_2 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (3325) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3326) e1 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (3326) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3327) $false % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3327) is inconsistent. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3328) all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3329) (all_10_2 = e3 & ~ (all_10_3 = e4)) | (all_10_5 = % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_10_6 = e4)) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3329) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3330) all_10_2 = e3 & ~ (all_10_3 = e4) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3330) implies: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3331) all_10_2 = e3 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (575), (3331) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3332) all_4_15 = e3 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (3332) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3333) all_8_9 = e3 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (3332) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3334) ~ (all_4_16 = e3) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3334) implies: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3335) ~ (all_4_16 = e3) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3299) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3336) all_6_8 = e2 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (3336) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3337) all_4_16 = e2 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3337) implies: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3338) all_4_16 = e2 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (358), (3338) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3339) all_8_10 = e2 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (3338) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3340) ~ (all_4_11 = e2) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (27), (3338) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3341) ~ (all_4_19 = e2) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3341) implies: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3342) ~ (all_4_19 = e2) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (26), (3338) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3343) ~ (all_4_21 = e2) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3343) implies: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3344) ~ (all_4_21 = e2) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2503) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3345) all_6_7 = e2 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (3340), (3345) are inconsistent by % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #82. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3346) all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3328) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3347) all_8_3 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3306), (3347) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3348) e4 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2493), (3348) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3349) $false % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3349) is inconsistent. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3350) all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3350) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3351) all_8_5 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (3351) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3352) all_4_11 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (363), (3352) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3353) all_10_33 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (357), (2767), (3344), (3353) are inconsistent by % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #174. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3354) all_8_10 = e0 | all_8_17 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3354) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3355) all_8_10 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3339), (3355) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3356) e2 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2476), (3356) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3357) $false % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3357) is inconsistent. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3358) all_8_17 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (3358) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3359) all_4_21 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3359) implies: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3360) all_4_21 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (3360) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3361) ~ (all_4_11 = e0) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (3360) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3362) ~ (all_4_22 = e0) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3362) implies: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3363) ~ (all_4_22 = e0) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3346) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3364) all_6_7 = e3 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (3364) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3365) all_4_11 = e3 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3365) implies: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3366) all_4_11 = e3 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (3366) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3367) ~ (all_4_13 = e3) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3367) implies: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3368) ~ (all_4_13 = e3) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2524) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3369) all_6_17 = e2 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (2470), (3369) are inconsistent by % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3370) all_6_17 = e3 | all_6_17 = e1 | all_6_17 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3370) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3371) all_6_17 = e3 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (3368), (3371) are inconsistent by % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #17. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3372) ~ (all_6_17 = e3) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3373) all_6_17 = e1 | all_6_17 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3373) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3374) all_6_17 = e1 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (3374) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3375) all_4_13 = e1 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3375) implies: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3376) all_4_13 = e1 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (3376) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3377) ~ (all_4_10 = e1) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (530), (3376) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3378) ~ (e4 = e1) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3368), (3376) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3379) ~ (e3 = e1) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3379) implies: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3380) ~ (e3 = e1) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3381) all_8_0 = e1 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (3381) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3382) e1 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (3382) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3383) $false % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3383) is inconsistent. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3384) all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_16 = e1 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3384) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3385) all_8_1 = e1 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (3385) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3386) all_4_5 = e1 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3386) implies: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3387) all_4_5 = e1 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (3387) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3388) ~ (all_4_7 = e1) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3388) implies: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3389) ~ (all_4_7 = e1) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2530) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3390) all_6_11 = e2 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (3390) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3391) all_4_7 = e2 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (3391) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3392) ~ (all_4_22 = e2) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3392) implies: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3393) ~ (all_4_22 = e2) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2512) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3394) all_6_14 = e2 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (3393), (3394) are inconsistent by % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #46. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3395) all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (109), (470), (525), (3239), (3342), (3363), % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3395), (function-axioms) are inconsistent by % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #15. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3396) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (521), (3245), (3389), (3396) are % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #126. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3397) all_8_4 = e1 | all_8_9 = e1 | all_8_16 = e1 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (407), (2492), (2539), (3333), (3377), (3380), % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3397) are inconsistent by sub-proof #76. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3398) all_6_17 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (3243), (3398) are inconsistent by % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #92. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3399) all_6_7 = e1 | all_6_7 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (511), (3361), (3399) are inconsistent by % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #73. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3400) all_6_8 = e3 | all_6_8 = e1 | all_6_8 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (513), (3241), (3335), (3400) are % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #171. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3401) all_10_5 = e2 & ~ (all_10_6 = e4) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3401) implies: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3402) all_10_5 = e2 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (3402) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3403) all_4_5 = e2 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (3403) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3404) ~ (all_4_7 = e2) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3404) implies: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3405) ~ (all_4_7 = e2) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2530) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3406) all_6_11 = e2 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (3405), (3406) are inconsistent by % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #150. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3407) ~ (all_6_11 = e2) % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3408) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3408) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3409) all_6_11 = e3 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (521), (3409) are inconsistent by sub-proof % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #149. % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3410) all_6_11 = e1 | all_6_11 = e0 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3410) gives: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3411) all_6_11 = e1 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (3411) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3412) all_4_7 = e1 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3412) implies: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3413) all_4_7 = e1 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (3413) imply: % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3414) all_8_7 = e1 % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (3413) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3415) ~ (all_4_17 = e1) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3415) implies: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3416) ~ (all_4_17 = e1) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (3413) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3417) ~ (all_4_22 = e1) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3417) implies: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3418) ~ (all_4_22 = e1) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3405), (3413) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3419) ~ (e2 = e1) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2763) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3420) ~ (all_10_50 = e0) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (3420) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3421) ~ (all_4_17 = e0) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3315) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3422) all_8_7 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3414), (3422) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3423) e1 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (3423) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3424) $false % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3424) is inconsistent. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3425) all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3425) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3426) all_8_8 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (345), (3426) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3427) e4 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2493), (3427) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3428) $false % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3428) is inconsistent. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3429) all_8_11 = e0 | all_8_18 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3429) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3430) all_8_11 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (3430) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3431) all_4_17 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3421), (3431) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3432) $false % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3432) is inconsistent. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3433) all_8_18 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (3433) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3434) all_4_22 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3434) implies: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3435) all_4_22 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (3435) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3436) ~ (e4 = e0) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3239), (3435) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3437) op(e0, e0) = e2 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3438) all_8_6 = e2 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (3438) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3439) e3 = e2 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2474), (3439) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3440) $false % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3440) is inconsistent. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3441) all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e2 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3441) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3442) all_8_7 = e2 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2475), (3414), (3442) are inconsistent by % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #24. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3443) all_8_8 = e2 | all_8_11 = e2 | all_8_18 = e2 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3443) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3444) all_8_8 = e2 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (345), (3444) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3445) e4 = e2 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2491), (3445) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3446) $false % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3446) is inconsistent. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3447) all_8_11 = e2 | all_8_18 = e2 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3447) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3448) all_8_11 = e2 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (3448) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3449) all_4_17 = e2 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3319) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3450) all_8_10 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (358), (3241), (3450) are inconsistent by % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #72. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3451) all_8_11 = e0 | all_8_15 = e0 | all_8_23 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3451) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3452) all_8_11 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2476), (3448), (3452) are inconsistent by % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #14. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3453) all_8_15 = e0 | all_8_23 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3453) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3454) all_8_15 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2493), (3309), (3454) are inconsistent by % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #26. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3455) all_8_23 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (3455) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3456) all_4_19 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3456) implies: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3457) all_4_19 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (3457) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3458) all_10_55 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (568), (3457) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3459) op(e0, e0) = all_10_54 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2761) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3460) ~ (all_10_55 = e0) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3458), (3460) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3461) $false % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3461) is inconsistent. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3462) all_10_69 = e1 & ~ (unit = e0) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3462) implies: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3463) all_10_69 = e1 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (3463) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3464) all_4_24 = e1 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3464) implies: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3465) all_4_24 = e1 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (3465) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3466) op(e0, e0) = e1 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_54, e0, e0, simplifying with (3437), (3459) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3467) all_10_54 = e2 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_54, e0, e0, simplifying with (3459), (3466) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3468) all_10_54 = e1 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3467), (3468) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3469) e2 = e1 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2475), (3469) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3470) $false % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3470) is inconsistent. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3471) all_8_18 = e2 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3433), (3471) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3472) e2 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2476), (3472) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3473) $false % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3473) is inconsistent. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3474) all_10_64 = e1 & ~ (unit = e0) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (340), (3418), (3474) are inconsistent by % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #66. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3475) all_6_11 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (3245), (3475) are inconsistent by % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #143. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3476) (all_10_8 = e1 & ~ (all_10_9 = e4)) | (all_10_11 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_10_12 = e4)) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3476) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3477) all_10_8 = e1 & ~ (all_10_9 = e4) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3477) implies: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3478) all_10_8 = e1 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2499), (3478) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3479) all_4_10 = e1 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (3479) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3480) ~ (all_4_13 = e1) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3480) implies: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3481) ~ (all_4_13 = e1) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (51), (3479) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3482) ~ (all_4_14 = e1) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3482) implies: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3483) ~ (all_4_14 = e1) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2524) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3484) all_6_17 = e2 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (2470), (3484) are inconsistent by % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3485) all_6_17 = e3 | all_6_17 = e1 | all_6_17 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3485) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3486) all_6_17 = e3 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (3486) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3487) all_4_13 = e3 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3487) implies: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3488) all_4_13 = e3 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (3488) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3489) ~ (all_4_14 = e3) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3489) implies: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3490) ~ (all_4_14 = e3) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (3488) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3491) ~ (all_4_23 = e3) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3491) implies: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3492) ~ (all_4_23 = e3) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3324) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3493) all_8_3 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3306), (3493) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3494) e4 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2493), (3494) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3495) $false % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3495) is inconsistent. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3496) all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3496) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3497) all_8_7 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (3497) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3498) all_4_7 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3245), (3498) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3499) $false % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3499) is inconsistent. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3500) all_8_13 = e0 | all_8_21 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3500) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3501) all_8_13 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (325), (334), (403), (2769), (3492), (3501) are % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #57. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3502) all_8_21 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (3502) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3503) all_4_9 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3503) implies: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3504) all_4_9 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (3504) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3505) ~ (all_4_14 = e0) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3505) implies: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3506) ~ (all_4_14 = e0) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (3504) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3507) ~ (all_4_19 = e0) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3507) implies: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3508) ~ (all_4_19 = e0) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2486), (3504) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3509) ~ (e4 = e0) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (160) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3510) all_6_22 = e4 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (3510) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3511) all_4_14 = e4 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (532), (3511) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3512) $false % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3512) is inconsistent. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3513) all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e1 | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_22 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3319) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3514) all_8_10 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (358), (3514) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3515) all_4_16 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3241), (3515) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3516) $false % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3516) is inconsistent. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3517) all_8_11 = e0 | all_8_15 = e0 | all_8_23 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3517) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3518) all_8_11 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (3518) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3519) all_4_17 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3519) implies: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3520) all_4_17 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (343), (3520) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3521) all_10_50 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2763) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3522) ~ (all_10_50 = e0) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3521), (3522) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3523) $false % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3523) is inconsistent. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3524) all_10_64 = e1 & ~ (unit = e0) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3524) implies: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3525) all_10_64 = e1 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (340), (3525) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3526) all_4_22 = e1 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3239), (3526) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3527) op(e0, e1) = e2 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3513) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3528) all_6_22 = e2 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (477), (3528) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3529) all_4_14 = e2 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3529) implies: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3530) all_4_14 = e2 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (3530) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3531) ~ (all_4_19 = e2) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3531) implies: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3532) ~ (all_4_19 = e2) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (109), (3527), (3532), (function-axioms) are % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #16. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3533) all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (477), (3483), (3490), (3506), (3533) are % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #101. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3534) all_8_15 = e0 | all_8_23 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3534) gives: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3535) all_8_15 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2493), (3309), (3535) are inconsistent by % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #26. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3536) all_8_23 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (3536) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3537) all_4_19 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3537) implies: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3538) all_4_19 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3508), (3538) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3539) $false % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3539) is inconsistent. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3540) all_6_17 = e1 | all_6_17 = e0 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (3243), (3481), (3540) are inconsistent by % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #35. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3541) all_10_11 = e0 & ~ (all_10_12 = e4) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3541) implies: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3542) ~ (all_10_12 = e4) % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2497), (3542) imply: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3543) $false % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3543) is inconsistent. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3544) all_8_23 = e4 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (425), (2488), (3544) are inconsistent by % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #20. % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3545) all_8_5 = e4 | all_8_10 = e4 | all_8_17 = e4 % 81.81/12.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (358), (410), (430), (528), (2545), (3300), (3545) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #176. % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3546) all_10_64 = e3 & ~ (unit = e0) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (340), (525), (3546) are inconsistent by sub-proof % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #142. % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3547) all_10_67 = e2 & ~ (unit = e0) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (325), (2472), (3547) are inconsistent by % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #19. % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3548) all_10_61 = e1 & ~ (unit = e0) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (357), (515), (3548) are inconsistent by sub-proof % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | #170. % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (3549) all_10_65 = e1 & ~ (all_10_66 = e0) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3549) implies: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (3550) all_10_65 = e1 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (3551) ~ (all_10_66 = e0) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (572), (3550) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (3552) op(e0, all_4_23) = e1 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2764) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3553) ~ (all_10_47 = e0) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (486), (3553) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3554) ~ (all_4_16 = e0) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2766) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3555) ~ (all_10_38 = e0) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (331), (3555) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3556) ~ (all_4_13 = e0) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2770) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3557) ~ (all_10_21 = e0) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (3557) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3558) ~ (all_4_7 = e0) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (172) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3559) all_6_8 = e4 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (3559) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3560) all_4_16 = e4 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3560) implies: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3561) all_4_16 = e4 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (358), (3561) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3562) all_8_10 = e4 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (3561) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3563) all_10_3 = e4 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (3561) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3564) ~ (all_4_6 = e4) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10), (12), (20), (23), (25), (31), (33), % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (37), (38), (44), (47), (50), (51), (52), (54), % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (55), (56), (57), (58), (59), (61), (62), (63), % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (65), (74), (75), (77), (78), (79), (108), (114), % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (121), (161), (206), (214), (219), (221), % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (238), (305), (307), (310), (313), (316), % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (319), (325), (328), (340), (343), (345), (357), % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363), (388), (390), (392), (397), (400), (402), % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (403), (406), (410), (414), (415), (418), (422), % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (424), (425), (430), (431), (434), (436), (439), % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (444), (446), (450), (454), (457), (462), (470), % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472), (475), (497), (499), (501), (521), (523), % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (525), (526), (527), (534), (536), (551), (552), % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (553), (554), (563), (564), (567), (576), (1457), % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2463), (2470), (2472), (2483), (2486), (2488), % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2493), (2497), (2499), (2503), (2506), (2512), % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2524), (2527), (2530), (2537), (2557), (2563), % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2567), (2571), (2761), (2762), (2763), (2765), % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767), (2768), (3551), (3556), (3558), (3562), % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3563), (3564), (function-axioms) are inconsistent % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #12. % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3565) ~ (all_6_8 = e4) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3566) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_8 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (455), (3565) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3567) ~ (all_4_16 = e4) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2552) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3568) all_8_10 = e4 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (358), (3567), (3568) are inconsistent by % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #178. % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3569) all_8_11 = e4 | all_8_15 = e4 | all_8_23 = e4 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3569) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3570) all_8_11 = e4 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (422), (534), (3570) are inconsistent by sub-proof % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #85. % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3571) ~ (all_8_11 = e4) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3572) all_8_15 = e4 | all_8_23 = e4 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2532) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3573) all_8_3 = e4 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (3573) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3574) all_4_6 = e4 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3574) implies: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3575) all_4_6 = e4 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (69), (3575) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3576) ~ (all_4_11 = e4) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3572) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3577) all_8_15 = e4 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (424), (3577) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3578) all_4_18 = e4 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3578) implies: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3579) all_4_18 = e4 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (59), (3579) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3580) ~ (all_4_8 = e4) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3581) all_8_6 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (3581) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3582) e3 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (3582) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3583) $false % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3583) is inconsistent. % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3584) all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (217) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3585) all_8_9 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (3585) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3586) all_4_15 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (501), (3586) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3587) $false % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3587) is inconsistent. % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3588) all_8_10 = e0 | all_8_11 = e0 | all_8_15 = e0 | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_23 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (232) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3589) all_8_1 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (3589) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3590) all_4_5 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (497), (3590) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3591) $false % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3591) is inconsistent. % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3592) ~ (all_8_1 = e0) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3593) all_8_3 = e0 | all_8_7 = e0 | all_8_13 = e0 | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_21 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3594) all_8_2 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (3594) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3595) e1 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (3595) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3596) $false % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3596) is inconsistent. % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3597) all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3598) all_6_16 = e4 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (461), (3580), (3598) are inconsistent by % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #71. % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3599) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3600) all_8_12 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2463), (2476), (3600) are inconsistent by % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #97. % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3601) all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3602) (all_10_2 = e3 & ~ (all_10_3 = e4)) | (all_10_5 = % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_10_6 = e4)) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3602) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3603) all_10_2 = e3 & ~ (all_10_3 = e4) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3603) implies: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3604) all_10_2 = e3 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (575), (3604) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3605) all_4_15 = e3 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (3605) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3606) ~ (all_4_5 = e3) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (34), (3605) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3607) ~ (all_4_16 = e3) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3607) implies: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3608) ~ (all_4_16 = e3) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3566) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3609) all_6_8 = e2 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (455), (3609) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3610) all_4_16 = e2 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3610) implies: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3611) all_4_16 = e2 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (358), (3611) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3612) all_8_10 = e2 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (45), (3611) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3613) ~ (all_4_11 = e2) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (26), (3611) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3614) ~ (all_4_21 = e2) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3614) implies: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3615) ~ (all_4_21 = e2) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2767) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3616) ~ (all_10_33 = e0) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (363), (3616) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3617) ~ (all_4_11 = e0) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2503) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3618) all_6_7 = e2 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (3613), (3618) are inconsistent by % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #82. % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3619) all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3597) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3620) all_8_3 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3573), (3620) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3621) e4 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2493), (3621) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3622) $false % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3622) is inconsistent. % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3623) all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3623) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3624) all_8_5 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (3624) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3625) all_4_11 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3617), (3625) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3626) $false % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3626) is inconsistent. % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3627) all_8_10 = e0 | all_8_17 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3627) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3628) all_8_10 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3612), (3628) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3629) e2 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2476), (3629) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3630) $false % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3630) is inconsistent. % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3631) all_8_17 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (3631) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3632) all_4_21 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3632) implies: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3633) all_4_21 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (3633) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3634) ~ (all_4_23 = e0) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3634) implies: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3635) ~ (all_4_23 = e0) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2545), (3633) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3636) ~ (e4 = e0) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3619) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3637) all_6_7 = e3 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (3637) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3638) all_4_11 = e3 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3638) implies: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3639) all_4_11 = e3 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (47), (3639) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3640) ~ (all_4_13 = e3) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3640) implies: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3641) ~ (all_4_13 = e3) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (528), (3639) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3642) ~ (e4 = e3) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3642) implies: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3643) ~ (e4 = e3) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3601) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3644) all_8_13 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (3644) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3645) all_4_8 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3645) implies: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3646) all_4_8 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (3646) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3647) all_10_24 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (3646) imply: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3648) ~ (all_4_13 = e0) % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3649) all_8_1 = e3 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (397), (3606), (3649) are inconsistent by % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #30. % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3650) all_8_3 = e3 | all_8_7 = e3 | all_8_13 = e3 | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_21 = e3 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3650) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3651) all_8_3 = e3 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3573), (3643), (3651) are inconsistent by % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #29. % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3652) all_8_7 = e3 | all_8_13 = e3 | all_8_21 = e3 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2524) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3653) all_6_17 = e2 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (2470), (3653) are inconsistent by % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45. % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3654) all_6_17 = e3 | all_6_17 = e1 | all_6_17 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3654) gives: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3655) all_6_17 = e3 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (3641), (3655) are inconsistent by % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #17. % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3656) all_6_17 = e1 | all_6_17 = e0 % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3656) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3657) all_6_17 = e1 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (3657) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3658) all_4_13 = e1 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3658) implies: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3659) all_4_13 = e1 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (3659) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3660) ~ (all_4_23 = e1) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3660) implies: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3661) ~ (all_4_23 = e1) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3652) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3662) all_8_7 = e3 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (402), (521), (3662) are inconsistent by sub-proof % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #28. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3663) all_8_13 = e3 | all_8_21 = e3 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3663) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3664) all_8_13 = e3 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (3644), (3664) are inconsistent by % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #27. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3665) all_8_21 = e3 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (3665) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3666) all_4_9 = e3 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3666) implies: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3667) all_4_9 = e3 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (3667) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3668) op(e0, e3) = all_10_26 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (3667) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3669) op(e0, e3) = e3 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2567) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3670) all_6_19 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (2472), (3670) are inconsistent by % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #114. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3671) all_6_19 = e3 | all_6_19 = e1 | all_6_19 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3671) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3672) all_6_19 = e3 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (3672) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3673) all_4_23 = e3 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3673) implies: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3674) all_4_23 = e3 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3661), (3674) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3675) ~ (e3 = e1) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3552), (3674) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3676) op(e0, e3) = e1 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3668), (3669), (3675), (3676), (function-axioms) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #11. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3677) ~ (all_6_19 = e3) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (472), (3677) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3678) ~ (all_4_23 = e3) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (325), (2769), (3647), (3678) are inconsistent by % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #58. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3679) all_6_17 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (3556), (3679) are inconsistent by % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #92. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3680) all_8_14 = e0 | all_8_15 = e0 | all_8_19 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (414), (434), (2493), (3556), (3577), (3635), % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3680) are inconsistent by sub-proof #25. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3681) all_6_7 = e1 | all_6_7 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (446), (511), (3617), (3681) are inconsistent by % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #73. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3682) all_10_61 = e2 & ~ (unit = e0) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (357), (3615), (3682) are inconsistent by % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #175. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3683) all_6_8 = e3 | all_6_8 = e1 | all_6_8 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (455), (513), (3554), (3608), (3683) are % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #171. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3684) all_10_5 = e2 & ~ (all_10_6 = e4) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3684) implies: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3685) all_10_5 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (3685) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3686) all_4_5 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (3686) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3687) ~ (all_4_7 = e2) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3687) implies: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3688) ~ (all_4_7 = e2) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (3686) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3689) ~ (all_4_9 = e2) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3689) implies: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3690) ~ (all_4_9 = e2) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (3686) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3691) ~ (all_4_10 = e2) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3691) implies: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3692) ~ (all_4_10 = e2) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2530) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3693) all_6_11 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (3688), (3693) are inconsistent by % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #150. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3694) ~ (all_6_11 = e2) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3695) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3695) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696) all_6_11 = e3 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (521), (3696) are inconsistent by sub-proof % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #149. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3697) all_6_11 = e1 | all_6_11 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3697) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3698) all_6_11 = e1 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (3698) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3699) all_4_7 = e1 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3699) implies: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3700) all_4_7 = e1 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (3700) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3701) all_8_7 = e1 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (3700) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3702) ~ (all_4_22 = e1) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3702) implies: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3703) ~ (all_4_22 = e1) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3688), (3700) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3704) ~ (e2 = e1) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2763) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3705) ~ (all_10_50 = e0) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (343), (3705) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3706) ~ (all_4_17 = e0) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3584) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3707) all_8_7 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3701), (3707) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3708) e1 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (3708) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3709) $false % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3709) is inconsistent. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3710) all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3710) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3711) all_8_8 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (345), (3711) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3712) e4 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2493), (3712) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3713) $false % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3713) is inconsistent. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3714) all_8_11 = e0 | all_8_18 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3714) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3715) all_8_11 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (3715) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3716) all_4_17 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3706), (3716) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3717) $false % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3717) is inconsistent. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3718) all_8_18 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (3718) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3719) all_4_22 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3719) implies: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3720) all_4_22 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (3720) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3721) ~ (all_4_21 = e0) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (536), (3720) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3722) ~ (e4 = e0) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3723) all_8_6 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (3723) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3724) e3 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2474), (3724) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3725) $false % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3725) is inconsistent. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3726) all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3726) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3727) all_8_7 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2475), (3701), (3727) are inconsistent by % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #24. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3728) all_8_8 = e2 | all_8_11 = e2 | all_8_18 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3728) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3729) all_8_8 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (345), (3729) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3730) e4 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2491), (3730) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3731) $false % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3731) is inconsistent. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3732) all_8_11 = e2 | all_8_18 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3732) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3733) all_8_11 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (3733) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3734) all_4_17 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (29), (3734) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3735) ~ (all_4_16 = e2) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (24), (3734) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3736) ~ (all_4_19 = e2) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3736) implies: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3737) ~ (all_4_19 = e2) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3588) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3738) all_8_10 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (358), (3554), (3738) are inconsistent by % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #72. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3739) ~ (all_8_10 = e0) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3740) all_8_11 = e0 | all_8_15 = e0 | all_8_23 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3740) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3741) all_8_11 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2476), (3733), (3741) are inconsistent by % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #14. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3742) all_8_15 = e0 | all_8_23 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3597) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3743) all_8_3 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2493), (3573), (3743) are inconsistent by % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #180. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3744) all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3744) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3745) all_8_5 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (3745) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3746) all_4_11 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3746) implies: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3747) all_4_11 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3748) all_8_4 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (407), (3692), (3748) are inconsistent by % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #23. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3749) all_8_5 = e2 | all_8_8 = e2 | all_8_14 = e2 | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_22 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3742) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3750) all_8_15 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2493), (3577), (3750) are inconsistent by % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #26. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3751) all_8_23 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (3751) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3752) all_4_19 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3752) implies: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3753) all_4_19 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (3753) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3754) all_10_55 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (56), (3753) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3755) ~ (all_4_9 = e0) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (20), (3753) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3756) ~ (all_4_24 = e0) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3737), (3753) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3757) ~ (e2 = e0) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2761) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3758) ~ (all_10_55 = e0) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3754), (3758) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3759) $false % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3759) is inconsistent. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3760) all_10_69 = e1 & ~ (unit = e0) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3760) implies: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3761) all_10_69 = e1 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (3761) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3762) all_4_24 = e1 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3762) implies: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3763) all_4_24 = e1 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (436), (3763) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3764) all_8_24 = e1 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (3763) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3765) ~ (all_4_9 = e1) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (3763) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3766) ~ (all_4_23 = e1) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3593) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3767) all_8_3 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2493), (3573), (3767) are inconsistent by % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #180. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3768) all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3768) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3769) all_8_7 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (489), (3701), (3769) are inconsistent by % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #148. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3770) all_8_13 = e0 | all_8_21 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (207) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3771) all_8_20 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2483), (2491), (3771) are inconsistent by % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #118. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3772) ~ (all_8_20 = e2) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3773) all_8_21 = e2 | all_8_22 = e2 | all_8_23 = e2 | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_24 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3749) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3774) all_8_5 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3745), (3774) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3775) e2 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2476), (3775) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3776) $false % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3776) is inconsistent. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3777) all_8_8 = e2 | all_8_14 = e2 | all_8_22 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3773) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3778) all_8_21 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (406), (3690), (3778) are inconsistent by % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #130. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3779) all_8_22 = e2 | all_8_23 = e2 | all_8_24 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3779) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3780) all_8_22 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3770) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3781) all_8_13 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (3781) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3782) all_4_8 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (3782) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3783) all_10_24 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (3782) imply: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3784) ~ (all_4_23 = e0) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3784) implies: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3785) ~ (all_4_23 = e0) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2567) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3786) all_6_19 = e2 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (2472), (3786) are inconsistent by % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #114. % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3787) ~ (all_6_19 = e2) % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3788) all_6_19 = e3 | all_6_19 = e1 | all_6_19 = e0 % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3788) gives: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3789) all_6_19 = e3 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (3789) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3790) all_4_23 = e3 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3790) implies: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3791) all_4_23 = e3 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2547), (3791) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3792) ~ (e4 = e3) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3792) implies: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3793) ~ (e4 = e3) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3766), (3791) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3794) ~ (e3 = e1) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3552), (3791) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3795) op(e0, e3) = e1 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3796) all_8_20 = e3 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2483), (3793), (3796) are inconsistent by % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3797) all_8_21 = e3 | all_8_22 = e3 | all_8_23 = e3 | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_24 = e3 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3797) gives: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3798) all_8_21 = e3 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (3798) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3799) all_4_9 = e3 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3799) implies: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3800) all_4_9 = e3 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (3800) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3801) op(e0, e3) = all_10_26 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (111), (3800) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3802) op(e0, e3) = e3 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3794), (3795), (3801), (3802), (function-axioms) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #11. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3803) all_8_22 = e3 | all_8_23 = e3 | all_8_24 = e3 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (2474), (3751), (3764), (3780), (3794), % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3803) are inconsistent by sub-proof #10. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3804) ~ (all_6_19 = e3) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (472), (3804) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3805) ~ (all_4_23 = e3) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (325), (2769), (3783), (3805) are inconsistent by % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #58. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3806) all_8_21 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (406), (3755), (3806) are inconsistent by % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #95. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3807) ~ (all_8_22 = e2) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (345), (414), (415), (2470), (2491), (3777), % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3807) are inconsistent by sub-proof #127. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3808) all_8_10 = e0 | all_8_17 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (358), (430), (455), (513), (3554), (3566), % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3721), (3735), (3808) are inconsistent by % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #21. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3809) all_8_18 = e2 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3718), (3809) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3810) e2 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2476), (3810) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3811) $false % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3811) is inconsistent. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3812) all_10_64 = e1 & ~ (unit = e0) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (340), (3703), (3812) are inconsistent by % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #66. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3813) all_6_11 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (3558), (3813) are inconsistent by % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #143. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3814) (all_10_8 = e1 & ~ (all_10_9 = e4)) | (all_10_11 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_10_12 = e4)) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3814) gives: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3815) all_10_8 = e1 & ~ (all_10_9 = e4) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3815) implies: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3816) all_10_8 = e1 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2499), (3816) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3817) all_4_10 = e1 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (3817) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3818) ~ (all_4_13 = e1) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3818) implies: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3819) ~ (all_4_13 = e1) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2524) gives: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3820) all_6_17 = e2 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (2470), (3820) are inconsistent by % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3821) all_6_17 = e3 | all_6_17 = e1 | all_6_17 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3821) gives: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3822) all_6_17 = e3 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (462), (3822) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3823) all_4_13 = e3 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3823) implies: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3824) all_4_13 = e3 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (3824) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3825) ~ (all_4_8 = e3) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (3824) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3826) ~ (all_4_23 = e3) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3826) implies: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3827) ~ (all_4_23 = e3) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3599) gives: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3828) all_6_16 = e2 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (461), (2468), (3828) are inconsistent by % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3829) all_6_16 = e3 | all_6_16 = e1 | all_6_16 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3593) gives: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3830) all_8_3 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3573), (3830) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3831) e4 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2493), (3831) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3832) $false % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3832) is inconsistent. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3833) all_8_7 = e0 | all_8_13 = e0 | all_8_21 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3833) gives: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3834) all_8_7 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (3834) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3835) all_4_7 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3558), (3835) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3836) $false % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3836) is inconsistent. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3837) all_8_13 = e0 | all_8_21 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3837) gives: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3838) all_8_13 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (325), (334), (403), (2769), (3827), (3838) are % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #57. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3839) all_8_21 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (3839) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3840) all_4_9 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3840) implies: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3841) all_4_9 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (319), (3841) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3842) all_10_27 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (3841) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3843) op(e0, e0) = all_10_26 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3829) gives: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3844) all_6_16 = e3 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (461), (3825), (3844) are inconsistent by % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #9. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3845) ~ (all_6_16 = e3) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3846) all_6_16 = e1 | all_6_16 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3846) gives: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3847) all_6_16 = e1 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (3847) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3848) all_4_8 = e1 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3848) implies: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3849) all_4_8 = e1 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (58), (3849) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3850) ~ (all_4_23 = e1) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3850) implies: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3851) ~ (all_4_23 = e1) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3825), (3849) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3852) ~ (e3 = e1) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3852) implies: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3853) ~ (e3 = e1) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2567) gives: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3854) all_6_19 = e2 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (2472), (3854) are inconsistent by % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #114. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3855) all_6_19 = e3 | all_6_19 = e1 | all_6_19 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3855) gives: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3856) all_6_19 = e3 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (472), (3827), (3856) are inconsistent by % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #113. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3857) all_6_19 = e1 | all_6_19 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3857) gives: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3858) all_6_19 = e1 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (3858) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3859) all_4_23 = e1 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3859) implies: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3860) all_4_23 = e1 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3851), (3860) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3861) $false % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3861) is inconsistent. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3862) all_6_19 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (472), (3862) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3863) all_4_23 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3863) implies: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3864) all_4_23 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3552), (3864) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3865) op(e0, e0) = e1 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2768) gives: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3866) ~ (all_10_27 = e0) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3842), (3866) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3867) $false % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3867) is inconsistent. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3868) all_10_69 = e3 & ~ (unit = e0) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3868) implies: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3869) all_10_69 = e3 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (3869) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3870) all_4_24 = e3 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3870) implies: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3871) all_4_24 = e3 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (108), (3871) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3872) op(e0, e0) = e3 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e3, % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_26, e0, e0, simplifying with (3843), (3872) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3873) all_10_26 = e3 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e1, % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_26, e0, e0, simplifying with (3843), (3865) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3874) all_10_26 = e1 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3873), (3874) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3875) e3 = e1 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3853), (3875) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3876) $false % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3876) is inconsistent. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3877) all_6_16 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (461), (3877) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3878) all_4_8 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3878) implies: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3879) all_4_8 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (3879) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3880) all_10_24 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (325), (2769), (3827), (3880) are inconsistent by % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #58. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3881) all_6_17 = e1 | all_6_17 = e0 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (3556), (3819), (3881) are inconsistent by % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #35. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3882) all_10_11 = e0 & ~ (all_10_12 = e4) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3882) implies: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3883) ~ (all_10_12 = e4) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2497), (3883) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3884) $false % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3884) is inconsistent. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3885) all_8_23 = e4 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (425), (2488), (3885) are inconsistent by % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #20. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3886) ~ (all_8_3 = e4) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3887) all_8_5 = e4 | all_8_10 = e4 | all_8_17 = e4 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (400), (3886) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3888) ~ (all_4_6 = e4) % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3887) gives: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3889) all_8_5 = e4 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (410), (528), (3889) are inconsistent by sub-proof % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #179. % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3890) all_8_10 = e4 | all_8_17 = e4 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3890) gives: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3891) all_8_10 = e4 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (358), (3891) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3892) all_4_16 = e4 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3892) implies: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3893) all_4_16 = e4 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (3893) imply: % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3894) all_10_3 = e4 % 81.81/12.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (10), (12), (20), (23), (25), (31), (33), % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (37), (38), (44), (47), (50), (51), (52), (54), % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (55), (56), (57), (58), (59), (61), (62), (63), % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (65), (74), (75), (77), (78), (79), (108), (114), % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (119), (121), (161), (206), (214), (219), (221), % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (230), (238), (305), (307), (310), (313), (316), % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (319), (325), (328), (340), (343), (345), (357), % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (363), (388), (390), (392), (397), (400), (402), % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (403), (406), (410), (414), (415), (418), (422), % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (424), (425), (430), (431), (434), (436), (439), % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (444), (446), (450), (454), (457), (462), (470), % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (472), (475), (497), (499), (501), (521), (523), % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (525), (526), (527), (534), (536), (551), (552), % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (553), (554), (563), (564), (567), (576), (1457), % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2463), (2470), (2472), (2483), (2486), (2488), % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2493), (2497), (2499), (2503), (2506), (2512), % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2524), (2527), (2530), (2537), (2557), (2563), % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2567), (2571), (2761), (2762), (2763), (2765), % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767), (2768), (3551), (3556), (3558), (3888), % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3891), (3894), (function-axioms) are inconsistent % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #12. % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3895) all_8_17 = e4 % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (430), (2545), (3895) are inconsistent by % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #177. % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3896) all_10_64 = e3 & ~ (unit = e0) % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (340), (525), (3896) are inconsistent by sub-proof % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #142. % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3897) all_10_67 = e2 & ~ (unit = e0) % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (325), (2472), (3897) are inconsistent by % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #19. % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3898) all_10_61 = e1 & ~ (unit = e0) % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (357), (515), (3898) are inconsistent by sub-proof % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | #170. % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.16 | | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.16 | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | End of split % 81.81/12.16 | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | End of split % 81.81/12.16 | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | End of split % 81.81/12.16 | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | End of split % 81.81/12.16 | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | Case 2: % 81.81/12.16 | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | (3899) ~ (all_8_16 = e4) % 81.81/12.16 | | | | | | | | | | | | | | | (3900) all_8_17 = e4 | all_8_18 = e4 | all_8_19 = e4 | % 81.81/12.16 | | | | | | | | | | | | | | | all_8_24 = e4 % 81.81/12.16 | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | REDUCE: (428), (3899) imply: % 81.81/12.16 | | | | | | | | | | | | | | | (3901) ~ (all_4_20 = e4) % 81.81/12.16 | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | BETA: splitting (302) gives: % 81.81/12.16 | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | Case 1: % 81.81/12.16 | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | (3902) (( ~ (all_10_1 = e4) | ~ (unit = e4)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_4 = e4) | ~ (unit = e4)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_7 = e4) | ~ (unit = e4)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_10 = e4) | ~ (unit = e4)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_13 = e4) | ~ (unit = e4)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_16 = e4) | (all_10_1 = e3 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_18 = e4) | (all_10_4 = % 81.81/12.16 | | | | | | | | | | | | | | | | e3 & ~ (unit = e4))) & ( ~ (all_10_21 = e4) % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_7 = e3 & ~ (unit = e4))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_24 = e4) | (all_10_10 = e3 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_27 = e4) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_13 = e3 & ~ (unit = e4))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_30 = e4) | (all_10_1 = e2 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_33 = e4) | (all_10_4 = % 81.81/12.16 | | | | | | | | | | | | | | | | e2 & ~ (unit = e4))) & ( ~ (all_10_35 = e4) % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_7 = e2 & ~ (unit = e4))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_38 = e4) | (all_10_10 = e2 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_41 = e4) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_13 = e2 & ~ (unit = e4))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_44 = e4) | (all_10_1 = e1 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_47 = e4) | (all_10_4 = % 81.81/12.16 | | | | | | | | | | | | | | | | e1 & ~ (unit = e4))) & ( ~ (all_10_50 = e4) % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_7 = e1 & ~ (unit = e4))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_52 = e4) | (all_10_10 = e1 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_55 = e4) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_13 = e1 & ~ (unit = e4))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_58 = e4) | (all_10_1 = e0 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | e4))) & ( ~ (all_10_61 = e4) | (all_10_4 = % 81.81/12.16 | | | | | | | | | | | | | | | | e0 & ~ (unit = e4))) & ( ~ (all_10_64 = e4) % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_7 = e0 & ~ (unit = e4))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_67 = e4) | (all_10_10 = e0 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e4))) & ( ~ (all_10_69 = e4) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_13 = e0 & ~ (unit = e4)))) | (( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_1 = e3) | (all_10_16 = e4 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | e3))) & ( ~ (all_10_4 = e3) | (all_10_18 = % 81.81/12.16 | | | | | | | | | | | | | | | | e4 & ~ (unit = e3))) & ( ~ (all_10_7 = e3) % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_21 = e4 & ~ (unit = e3))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_10 = e3) | (all_10_24 = e4 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_13 = e3) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_27 = e4 & ~ (unit = e3))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_16 = e3) | ~ (unit = e3)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_18 = e3) | ~ (unit = e3)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_21 = e3) | ~ (unit = e3)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_24 = e3) | ~ (unit = e3)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_27 = e3) | ~ (unit = e3)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_30 = e3) | (all_10_16 = e2 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_33 = e3) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_18 = e2 & ~ (unit = e3))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_35 = e3) | (all_10_21 = e2 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_38 = e3) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_24 = e2 & ~ (unit = e3))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_41 = e3) | (all_10_27 = e2 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_44 = e3) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_16 = e1 & ~ (unit = e3))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_47 = e3) | (all_10_18 = e1 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_50 = e3) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_52 = e3) | (all_10_24 = e1 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_55 = e3) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_27 = e1 & ~ (unit = e3))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_58 = e3) | (all_10_16 = e0 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_61 = e3) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_18 = e0 & ~ (unit = e3))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_64 = e3) | (all_10_21 = e0 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e3))) & ( ~ (all_10_67 = e3) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_24 = e0 & ~ (unit = e3))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_69 = e3) | (all_10_27 = e0 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e3)))) % 81.81/12.16 | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | REF_CLOSE: (350), (354), (487), (526), (2474), (3902) are % 81.81/12.16 | | | | | | | | | | | | | | | | inconsistent by sub-proof #184. % 81.81/12.16 | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | Case 2: % 81.81/12.16 | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | (3903) (( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_4 = e2) | (all_10_33 % 81.81/12.16 | | | | | | | | | | | | | | | | = e4 & ~ (unit = e2))) & ( ~ (all_10_7 = % 81.81/12.16 | | | | | | | | | | | | | | | | e2) | (all_10_35 = e4 & ~ (unit = e2))) & ( % 81.81/12.16 | | | | | | | | | | | | | | | | ~ (all_10_10 = e2) | (all_10_38 = e4 & ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (unit = e2))) & ( ~ (all_10_13 = e2) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_41 = e4 & ~ (unit = e2))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_16 = e2) | (all_10_30 = e3 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_18 = e2) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_33 = e3 & ~ (unit = e2))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_21 = e2) | (all_10_35 = e3 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_24 = e2) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_30 = e2) | ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e2)) & ( ~ (all_10_33 = e2) | ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_35 = e2) | ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_38 = e2) | ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_41 = e2) | ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_44 = e2) | (all_10_30 = % 81.81/12.16 | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_47 = e2) % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_33 = e1 & ~ (unit = e2))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_50 = e2) | (all_10_35 = e1 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_52 = e2) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_38 = e1 & ~ (unit = e2))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_55 = e2) | (all_10_41 = e1 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_58 = e2) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_64 = e2) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_35 = e0 & ~ (unit = e2))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_67 = e2) | (all_10_38 = e0 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e2))) & ( ~ (all_10_69 = e2) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_41 = e0 & ~ (unit = e2)))) | (( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = % 81.81/12.16 | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_13 = e1) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_55 = e4 & ~ (unit = e1))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_18 = e1) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_47 = e3 & ~ (unit = e1))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_24 = e1) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_30 = e1) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_35 = e1) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_50 = e2 & ~ (unit = e1))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_41 = e1) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_61 = e1) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_47 = e0 & ~ (unit = e1))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_64 = e1) | (all_10_50 = e0 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_67 = e1) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_52 = e0 & ~ (unit = e1))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_69 = e1) | (all_10_55 = e0 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e1)))) | (( ~ (all_10_1 = e0) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = % 81.81/12.16 | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_16 = e0) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_21 = e0) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_27 = e0) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_33 = e0) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_38 = e0) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_44 = e0) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_50 = e0) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_55 = e0) | % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_58 = e0) | ~ (unit = e0)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_61 = e0) | ~ (unit = e0)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | (all_10_69 = e0) | ~ (unit = e0))) % 81.81/12.16 | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | BETA: splitting (3903) gives: % 81.81/12.16 | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | Case 1: % 81.81/12.16 | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | (3904) ( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_4 = e2) | (all_10_33 = % 81.81/12.16 | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_7 = e2) | % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_35 = e4 & ~ (unit = e2))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_13 = e2) | (all_10_41 = % 81.81/12.16 | | | | | | | | | | | | | | | | | e4 & ~ (unit = e2))) & ( ~ (all_10_16 = e2) | % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_30 = e3 & ~ (unit = e2))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_18 = e2) | (all_10_33 = e3 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_21 = e2) | (all_10_35 = % 81.81/12.16 | | | | | | | | | | | | | | | | | e3 & ~ (unit = e2))) & ( ~ (all_10_24 = e2) | % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_30 = e2) | ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | | e2)) & ( ~ (all_10_33 = e2) | ~ (unit = e2)) % 81.81/12.16 | | | | | | | | | | | | | | | | | & ( ~ (all_10_35 = e2) | ~ (unit = e2)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_38 = e2) | ~ (unit = e2)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_41 = e2) | ~ (unit = e2)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_44 = e2) | (all_10_30 = e1 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_47 = e2) | (all_10_33 = % 81.81/12.16 | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_50 = e2) | % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_35 = e1 & ~ (unit = e2))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_52 = e2) | (all_10_38 = e1 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_55 = e2) | (all_10_41 = % 81.81/12.16 | | | | | | | | | | | | | | | | | e1 & ~ (unit = e2))) & ( ~ (all_10_58 = e2) | % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | | e2))) & ( ~ (all_10_64 = e2) | (all_10_35 = % 81.81/12.16 | | | | | | | | | | | | | | | | | e0 & ~ (unit = e2))) & ( ~ (all_10_67 = e2) | % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_38 = e0 & ~ (unit = e2))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | | e2))) % 81.81/12.16 | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | ALPHA: (3904) implies: % 81.81/12.16 | | | | | | | | | | | | | | | | | (3905) ~ (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | | e2)) % 81.81/12.16 | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | REF_CLOSE: (331), (530), (2464), (3905) are inconsistent by % 81.81/12.16 | | | | | | | | | | | | | | | | | sub-proof #139. % 81.81/12.16 | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | Case 2: % 81.81/12.16 | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | (3906) (( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_4 = e1) | (all_10_47 % 81.81/12.16 | | | | | | | | | | | | | | | | | = e4 & ~ (unit = e1))) & ( ~ (all_10_7 = % 81.81/12.16 | | | | | | | | | | | | | | | | | e1) | (all_10_50 = e4 & ~ (unit = e1))) & ( % 81.81/12.16 | | | | | | | | | | | | | | | | | ~ (all_10_10 = e1) | (all_10_52 = e4 & ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (unit = e1))) & ( ~ (all_10_13 = e1) | % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_55 = e4 & ~ (unit = e1))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_18 = e1) | % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_47 = e3 & ~ (unit = e1))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_24 = e1) | % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_30 = e1) | % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_35 = e1) | % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_50 = e2 & ~ (unit = e1))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_41 = e1) | % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_61 = e1) | % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_47 = e0 & ~ (unit = e1))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_64 = e1) | (all_10_50 = e0 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | | = e1))) & ( ~ (all_10_67 = e1) | % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_52 = e0 & ~ (unit = e1))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_69 = e1) | (all_10_55 = e0 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | | = e1)))) | (( ~ (all_10_1 = e0) | % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = % 81.81/12.16 | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) % 81.81/12.16 | | | | | | | | | | | | | | | | | | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_16 = e0) | % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_21 = e0) | % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_27 = e0) | % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_33 = e0) | % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_38 = e0) | % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_44 = e0) | % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_50 = e0) | % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit % 81.81/12.16 | | | | | | | | | | | | | | | | | = e0))) & ( ~ (all_10_55 = e0) | % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_58 = e0) | ~ (unit = e0)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_61 = e0) | ~ (unit = e0)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | (all_10_69 = e0) | ~ (unit = e0))) % 81.81/12.16 | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | BETA: splitting (3906) gives: % 81.81/12.16 | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.16 | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | (3907) ( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = % 81.81/12.16 | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) | % 81.81/12.16 | | | | | | | | | | | | | | | | | | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_13 = e1) | (all_10_55 = % 81.81/12.16 | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e1))) & ( ~ (all_10_16 = e1) | % 81.81/12.16 | | | | | | | | | | | | | | | | | | (all_10_44 = e3 & ~ (unit = e1))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | | (all_10_18 = e1) | (all_10_47 = e3 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_21 = e1) | (all_10_50 = % 81.81/12.16 | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e1))) & ( ~ (all_10_24 = e1) | % 81.81/12.16 | | | | | | | | | | | | | | | | | | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_30 = e1) | (all_10_44 = % 81.81/12.16 | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_33 = e1) | % 81.81/12.16 | | | | | | | | | | | | | | | | | | (all_10_47 = e2 & ~ (unit = e1))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | | (all_10_35 = e1) | (all_10_50 = e2 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_38 = e1) | (all_10_52 = % 81.81/12.16 | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e1))) & ( ~ (all_10_41 = e1) | % 81.81/12.16 | | | | | | | | | | | | | | | | | | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | | (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | | (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_61 = e1) | (all_10_47 = % 81.81/12.16 | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) & ( ~ (all_10_64 = e1) | % 81.81/12.16 | | | | | | | | | | | | | | | | | | (all_10_50 = e0 & ~ (unit = e1))) & ( ~ % 81.81/12.16 | | | | | | | | | | | | | | | | | | (all_10_67 = e1) | (all_10_52 = e0 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | | | e1))) & ( ~ (all_10_69 = e1) | (all_10_55 = % 81.81/12.16 | | | | | | | | | | | | | | | | | | e0 & ~ (unit = e1))) % 81.81/12.16 | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | ALPHA: (3907) implies: % 81.81/12.16 | | | | | | | | | | | | | | | | | | (3908) ~ (all_10_69 = e1) | (all_10_55 = e0 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | | | e1)) % 81.81/12.16 | | | | | | | | | | | | | | | | | | (3909) ~ (all_10_30 = e1) | (all_10_44 = e2 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | | | e1)) % 81.81/12.16 | | | | | | | | | | | | | | | | | | (3910) ~ (all_10_24 = e1) | (all_10_52 = e3 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | | | e1)) % 81.81/12.16 | | | | | | | | | | | | | | | | | | (3911) ~ (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | | | e1)) % 81.81/12.16 | | | | | | | | | | | | | | | | | | (3912) ~ (all_10_4 = e1) | (all_10_47 = e4 & ~ (unit = % 81.81/12.16 | | | | | | | | | | | | | | | | | | e1)) % 81.81/12.16 | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | BETA: splitting (3912) gives: % 81.81/12.16 | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.16 | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | (3913) ~ (all_10_4 = e1) % 81.81/12.16 | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | REDUCE: (370), (3913) imply: % 81.81/12.16 | | | | | | | | | | | | | | | | | | | (3914) $false % 81.81/12.16 | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | CLOSE: (3914) is inconsistent. % 81.81/12.16 | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.16 | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | (3915) all_10_47 = e4 & ~ (unit = e1) % 81.81/12.16 | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | ALPHA: (3915) implies: % 81.81/12.16 | | | | | | | | | | | | | | | | | | | (3916) all_10_47 = e4 % 81.81/12.16 | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (486), (3916) imply: % 81.81/12.16 | | | | | | | | | | | | | | | | | | | (3917) all_4_16 = e4 % 81.81/12.16 | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | SIMP: (3917) implies: % 81.81/12.16 | | | | | | | | | | | | | | | | | | | (3918) all_4_16 = e4 % 81.81/12.16 | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (358), (3918) imply: % 81.81/12.16 | | | | | | | | | | | | | | | | | | | (3919) all_8_10 = e4 % 81.81/12.16 | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (574), (3918) imply: % 81.81/12.16 | | | | | | | | | | | | | | | | | | | (3920) all_10_3 = e4 % 81.81/12.16 | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | REDUCE: (34), (3918) imply: % 81.81/12.16 | | | | | | | | | | | | | | | | | | | (3921) ~ (all_4_15 = e4) % 81.81/12.16 | | | | | | | | | | | | | | | | | | | % 81.81/12.16 | | | | | | | | | | | | | | | | | | | REDUCE: (26), (3918) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | (3922) ~ (all_4_21 = e4) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | SIMP: (3922) implies: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | (3923) ~ (all_4_21 = e4) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | REDUCE: (561), (3918) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | (3924) op(e1, e4) = all_10_45 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | (3925) all_8_0 = e4 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (388), (3925) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | (3926) e4 = e0 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | SIMP: (3926) implies: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | (3927) e4 = e0 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | REDUCE: (2493), (3927) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | (3928) $false % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | CLOSE: (3928) is inconsistent. % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | (3929) all_8_1 = e4 | all_8_4 = e4 | all_8_9 = e4 | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | all_8_16 = e4 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3929) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | (3930) all_8_1 = e4 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (397), (3930) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | (3931) all_4_5 = e4 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (576), (3931) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | (3932) all_10_5 = e4 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (78), (3931) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | (3933) ~ (all_4_7 = e4) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (77), (3931) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | (3934) ~ (all_4_8 = e4) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | SIMP: (3934) implies: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | (3935) ~ (all_4_8 = e4) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (3931) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | (3936) ~ (all_4_10 = e4) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (73), (3931) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | (3937) ~ (all_4_20 = e4) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3900) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | (3938) all_8_17 = e4 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (430), (3923), (3938) are inconsistent by % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | sub-proof #177. % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | (3939) all_8_18 = e4 | all_8_19 = e4 | all_8_24 = e4 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | (3940) (all_10_2 = e3 & ~ (all_10_3 = e4)) | (all_10_5 = % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | e2 & ~ (all_10_6 = e4)) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (68), (72), (235), (302), (316), (350), (354), % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | (370), (373), (386), (400), (402), (403), (406), % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | (486), (487), (526), (532), (2474), (2484), % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | (2486), (2491), (3901), (3920), (3930), (3932), % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | (3935), (3940) are inconsistent by sub-proof #132. % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | (3941) (all_10_8 = e1 & ~ (all_10_9 = e4)) | (all_10_11 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | = e0 & ~ (all_10_12 = e4)) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3941) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | (3942) all_10_8 = e1 & ~ (all_10_9 = e4) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3942) implies: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | (3943) all_10_8 = e1 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2499), (3943) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | (3944) all_4_10 = e1 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (3944) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | (3945) all_8_4 = e1 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (379), (3944) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | (3946) all_10_30 = e1 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (3944) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | (3947) ~ (all_4_15 = e1) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3947) implies: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | (3948) ~ (all_4_15 = e1) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (3944) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | (3949) ~ (all_4_20 = e1) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3949) implies: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | (3950) ~ (all_4_20 = e1) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (527), (3944) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | (3951) ~ (e4 = e1) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3911) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | (3952) ~ (all_10_21 = e1) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (350), (3952) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | (3953) ~ (all_4_7 = e1) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3909) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (3954) ~ (all_10_30 = e1) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3946), (3954) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (3955) $false % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3955) is inconsistent. % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (3956) all_10_44 = e2 & ~ (unit = e1) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3956) implies: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (3957) all_10_44 = e2 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (376), (3957) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (3958) all_4_15 = e2 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3958) implies: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (3959) all_4_15 = e2 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (3959) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (3960) ~ (all_4_17 = e2) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3960) implies: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (3961) ~ (all_4_17 = e2) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (3959) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (3962) ~ (all_4_18 = e2) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3962) implies: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (3963) ~ (all_4_18 = e2) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (31), (3959) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (3964) ~ (all_4_19 = e2) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3964) implies: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (3965) ~ (all_4_19 = e2) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (30), (3959) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (3966) ~ (all_4_20 = e2) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3966) implies: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (3967) ~ (all_4_20 = e2) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (560), (3959) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (3968) op(e1, e2) = all_10_42 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (175) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3969) all_6_4 = e4 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (3969) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3970) all_4_20 = e4 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3970) implies: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3971) all_4_20 = e4 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3901), (3971) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3972) $false % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3972) is inconsistent. % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3973) all_6_4 = e3 | all_6_4 = e2 | all_6_4 = e1 | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_4 = e0 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3939) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3974) all_8_18 = e4 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (431), (536), (3974) are inconsistent by sub-proof % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #88. % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3975) all_8_19 = e4 | all_8_24 = e4 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3975) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3976) all_8_19 = e4 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (434), (3976) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3977) all_4_23 = e4 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3977) implies: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3978) all_4_23 = e4 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (113), (3978) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3979) op(e1, e0) = e4 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (572), (3978) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3980) op(e0, e4) = all_10_65 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3973) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3981) all_6_4 = e2 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (3981) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3982) all_4_20 = e2 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3982) implies: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3983) all_4_20 = e2 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3967), (3983) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3984) $false % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3984) is inconsistent. % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3985) ~ (all_6_4 = e2) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3986) all_6_4 = e3 | all_6_4 = e1 | all_6_4 = e0 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3986) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3987) all_6_4 = e3 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (3987) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3988) all_4_20 = e3 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3988) implies: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3989) all_4_20 = e3 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (19), (3989) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3990) ~ (all_4_21 = e3) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3990) implies: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3991) ~ (all_4_21 = e3) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (16), (3989) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3992) ~ (all_4_24 = e3) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3992) implies: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3993) ~ (all_4_24 = e3) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3901), (3989) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3994) ~ (e4 = e3) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3994) implies: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3995) ~ (e4 = e3) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3950), (3989) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3996) ~ (e3 = e1) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (569), (3989) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3997) op(e0, e3) = all_10_56 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_9, % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_56, e3, e0, simplifying with (111), (3997) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3998) all_10_56 = all_4_9 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_65, e4, e0, simplifying with (2496), (3980) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3999) all_10_65 = e4 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with all_4_13, % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_42, e2, e1, simplifying with (115), (3968) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4000) all_10_42 = all_4_13 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e2, % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_10_45, e4, e1, simplifying with (2479), (3924) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4001) all_10_45 = e2 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4002) (all_10_42 = e4 & ~ (all_10_43 = e1)) | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_45 = e3 & ~ (all_10_46 = e1)) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4002) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4003) all_10_42 = e4 & ~ (all_10_43 = e1) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4003) implies: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4004) all_10_42 = e4 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4000), (4004) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4005) all_4_13 = e4 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (530), (4005) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4006) $false % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4006) is inconsistent. % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4007) all_10_45 = e3 & ~ (all_10_46 = e1) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4007) implies: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4008) all_10_45 = e3 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4001), (4008) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4009) e3 = e2 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4009) implies: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4010) e3 = e2 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2474), (4010) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4011) $false % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4011) is inconsistent. % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4012) (all_10_48 = e2 & ~ (all_10_49 = e1)) | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_53 = e0 & ~ (all_10_54 = e1)) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4012) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4013) all_10_48 = e2 & ~ (all_10_49 = e1) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4013) implies: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4014) all_10_48 = e2 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (562), (4014) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4015) op(e1, all_4_17) = e2 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4016) all_8_12 = e1 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2463), (4016) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4017) e2 = e1 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2475), (4017) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4018) $false % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4018) is inconsistent. % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4019) ~ (all_8_12 = e1) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4020) all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e1 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4021) all_8_4 = e2 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3945), (4021) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4022) e2 = e1 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2475), (4022) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4023) $false % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4023) is inconsistent. % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4024) all_8_5 = e2 | all_8_8 = e2 | all_8_14 = e2 | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_22 = e2 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4025) all_6_16 = e4 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (461), (3935), (4025) are inconsistent by % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #71. % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4026) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (223) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4027) all_8_6 = e2 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (4027) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4028) e3 = e2 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2474), (4028) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4029) $false % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4029) is inconsistent. % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4030) ~ (all_8_6 = e2) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4031) all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e2 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4032) all_8_2 = e3 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (4032) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4033) e3 = e1 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3996), (4033) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4034) $false % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4034) is inconsistent. % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4035) ~ (all_8_2 = e3) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4036) all_8_3 = e3 | all_8_5 = e3 | all_8_10 = e3 | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e3 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (390), (4035) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4037) ~ (e3 = e1) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (222) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4038) all_8_6 = e1 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (392), (4038) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4039) e3 = e1 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3996), (4039) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4040) $false % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4040) is inconsistent. % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4041) all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e1 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4042) all_8_1 = e1 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3930), (4042) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4043) e4 = e1 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2492), (4043) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4044) $false % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4044) is inconsistent. % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4045) all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_21 = e1 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4046) all_8_6 = e0 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (392), (491), (4046) are inconsistent by sub-proof % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #162. % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4047) ~ (all_8_6 = e0) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4048) all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_18 = e0 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4049) all_8_2 = e0 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (4049) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4050) e1 = e0 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (4050) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4051) $false % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4051) is inconsistent. % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4052) all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e0 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4053) all_8_20 = e3 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2483), (3995), (4053) are inconsistent by % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43. % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4054) ~ (all_8_20 = e3) % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4055) all_8_21 = e3 | all_8_22 = e3 | all_8_23 = e3 | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_24 = e3 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2503) gives: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4056) all_6_7 = e2 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (4056) imply: % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4057) all_4_11 = e2 % 81.81/12.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4057) implies: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4058) all_4_11 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (4058) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4059) all_8_5 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (4058) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4060) ~ (all_4_21 = e2) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4060) implies: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4061) ~ (all_4_21 = e2) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4036) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4062) all_8_3 = e3 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (4062) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4063) all_4_6 = e3 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (4063) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4064) ~ (all_4_8 = e3) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4064) implies: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4065) ~ (all_4_8 = e3) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4052) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4066) all_8_3 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4062), (4066) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4067) e3 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (4067) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4068) $false % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4068) is inconsistent. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4069) all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4069) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4070) all_8_5 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4059), (4070) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4071) e2 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2476), (4071) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4072) $false % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4072) is inconsistent. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4073) all_8_10 = e0 | all_8_17 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4073) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4074) all_8_10 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2493), (3919), (4074) are inconsistent by % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4075) all_8_17 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (4075) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4076) all_4_21 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (4076) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4077) ~ (all_4_22 = e0) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4077) implies: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4078) ~ (all_4_22 = e0) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3923), (4076) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4079) ~ (e4 = e0) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4061), (4076) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4080) ~ (e2 = e0) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2506) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4081) all_6_13 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (457), (4081) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4082) all_4_17 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3961), (4082) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4083) $false % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4083) is inconsistent. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4084) ~ (all_6_13 = e2) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4085) all_6_13 = e3 | all_6_13 = e1 | all_6_13 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2512) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4086) all_6_14 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (4086) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4087) all_4_22 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4087) implies: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4088) all_4_22 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (4088) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4089) ~ (all_4_7 = e2) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2530) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4090) all_6_11 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (4089), (4090) are inconsistent by % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #150. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4091) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4091) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4092) all_6_11 = e3 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (521), (4092) are inconsistent by sub-proof % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #149. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4093) all_6_11 = e1 | all_6_11 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4093) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4094) all_6_11 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (3953), (4094) are inconsistent by % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #8. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4095) all_6_11 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (4095) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4096) all_4_7 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4096) implies: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4097) all_4_7 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (4097) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4098) ~ (all_4_8 = e0) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4098) implies: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4099) ~ (all_4_8 = e0) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (4097) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4100) ~ (all_4_17 = e0) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4100) implies: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4101) ~ (all_4_17 = e0) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4026) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4102) all_6_16 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (461), (2468), (4102) are inconsistent by % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4103) all_6_16 = e3 | all_6_16 = e1 | all_6_16 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4085) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4104) all_6_13 = e3 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (457), (523), (4104) are inconsistent by sub-proof % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #112. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4105) all_6_13 = e1 | all_6_13 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4105) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4106) all_6_13 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (457), (4106) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4107) all_4_17 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4107) implies: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4108) all_4_17 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4015), (4108) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4109) op(e1, e1) = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4103) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4110) all_6_16 = e3 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (461), (4065), (4110) are inconsistent by % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #9. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4111) all_6_16 = e1 | all_6_16 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4020) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4112) all_8_13 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (4112) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4113) all_4_8 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4113) implies: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4114) all_4_8 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (4114) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4115) all_10_24 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (558), (4114) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4116) op(e1, e1) = all_10_23 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (114), (328), (3910), (3963), (4109), (4115), % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4116), (function-axioms) are inconsistent by % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #7. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4117) ~ (all_8_13 = e1) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (4117) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4118) ~ (all_4_8 = e1) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (461), (4099), (4111), (4118) are inconsistent by % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #68. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4119) all_6_13 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (457), (4101), (4119) are inconsistent by % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #111. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4120) ~ (all_6_14 = e2) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4121) all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (470), (4120) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4122) ~ (all_4_22 = e2) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4121) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4123) all_6_14 = e3 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (525), (4123) are inconsistent by sub-proof % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #146. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4124) all_6_14 = e1 | all_6_14 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4031) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4125) all_8_7 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (4125) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4126) all_4_7 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4126) implies: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4127) all_4_7 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4124) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4128) all_6_14 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (4128) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4129) all_4_22 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4129) implies: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4130) all_4_22 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (4130) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4131) all_8_18 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4048) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4132) all_8_7 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4125), (4132) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4133) e2 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4133) implies: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4134) e2 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2476), (4134) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4135) $false % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4135) is inconsistent. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4136) all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4136) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4137) all_8_8 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (345), (2493), (4137) are inconsistent by % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #147. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4138) all_8_11 = e0 | all_8_18 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4138) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4139) all_8_11 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (4139) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4140) all_4_17 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4140) implies: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4141) all_4_17 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4015), (4141) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4142) op(e1, e0) = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (function-axioms) with e4, e2, e0, % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3979), (4142) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4143) e4 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2491), (4143) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4144) $false % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4144) is inconsistent. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4145) all_8_18 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4131), (4145) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4146) e1 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4146) implies: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4147) e1 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (4147) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4148) $false % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4148) is inconsistent. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4149) all_6_14 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (470), (4078), (4149) are inconsistent by % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #144. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4150) all_8_8 = e2 | all_8_11 = e2 | all_8_18 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (345), (422), (431), (2491), (3961), (4122), % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4150) are inconsistent by sub-proof #52. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4151) all_8_5 = e3 | all_8_10 = e3 | all_8_17 = e3 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (430), (2474), (3919), (3991), (3995), (4059), % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4151) are inconsistent by sub-proof #6. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4152) ~ (all_6_7 = e2) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (446), (4152) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4153) ~ (all_4_11 = e2) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4024) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4154) all_8_5 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (4154) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4155) all_4_11 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4153), (4155) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4156) $false % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4156) is inconsistent. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4157) all_8_8 = e2 | all_8_14 = e2 | all_8_22 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4157) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4158) all_8_8 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (345), (2491), (4158) are inconsistent by % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #160. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4159) all_8_14 = e2 | all_8_22 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4159) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4160) all_8_14 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (414), (2470), (4160) are inconsistent by % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #117. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4161) all_8_22 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (415), (4161) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4162) all_4_14 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4162) implies: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4163) all_4_14 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (4163) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4164) ~ (all_4_24 = e2) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4164) implies: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4165) ~ (all_4_24 = e2) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2518) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4166) all_6_24 = e2 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (479), (4165), (4166) are inconsistent by % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #5. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4167) all_6_24 = e3 | all_6_24 = e1 | all_6_24 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4167) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4168) all_6_24 = e3 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (479), (3993), (4168) are inconsistent by % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #51. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4169) ~ (all_6_24 = e3) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4170) all_6_24 = e1 | all_6_24 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4170) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4171) all_6_24 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (4171) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4172) all_4_24 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4172) implies: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4173) all_4_24 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (436), (4173) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4174) all_8_24 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (4173) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4175) all_10_69 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (4173) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4176) ~ (all_4_9 = e1) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (4173) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4177) ~ (all_4_22 = e1) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3908) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4178) ~ (all_10_69 = e1) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4175), (4178) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4179) $false % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4179) is inconsistent. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4180) all_10_55 = e0 & ~ (unit = e1) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4180) implies: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4181) all_10_55 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (4181) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4182) all_4_19 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (425), (4182) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4183) all_8_23 = e0 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4041) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4184) all_8_7 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (4184) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4185) all_4_7 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3953), (4185) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4186) $false % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4186) is inconsistent. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4187) ~ (all_8_7 = e1) % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4188) all_8_8 = e1 | all_8_11 = e1 | all_8_18 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4045) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4189) all_8_3 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (4189) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4190) all_4_6 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (509), (4190) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4191) $false % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4191) is inconsistent. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4192) all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4192) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4193) all_8_7 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (402), (4193) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4194) all_4_7 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3953), (4194) imply: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4195) $false % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4195) is inconsistent. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4196) all_8_13 = e1 | all_8_21 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4188) gives: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4197) all_8_8 = e1 % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (345), (2492), (4197) are inconsistent by % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #161. % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4198) all_8_11 = e1 | all_8_18 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4055) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4199) all_8_21 = e3 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (406), (4199) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4200) all_4_9 = e3 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4200) implies: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4201) all_4_9 = e3 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4196) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4202) all_8_13 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (4202) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4203) all_4_8 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4203) implies: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4204) all_4_8 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (4204) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4205) all_10_24 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (558), (4204) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4206) op(e1, e1) = all_10_23 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4198) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4207) all_8_11 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (422), (4207) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4208) all_4_17 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4208) implies: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4209) all_4_17 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4015), (4209) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4210) op(e1, e1) = e2 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (114), (328), (3910), (3963), (4205), (4206), % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4210), (function-axioms) are inconsistent by % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #7. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4211) all_8_18 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (431), (4211) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4212) all_4_22 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4177), (4212) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4213) $false % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4213) is inconsistent. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4214) all_8_21 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3996), (4199), (4214) are inconsistent by % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #4. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4215) all_8_22 = e3 | all_8_23 = e3 | all_8_24 = e3 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (2474), (3996), (4161), (4174), (4183), % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4215) are inconsistent by sub-proof #10. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4216) all_6_24 = e0 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (479), (1458), (4216) are inconsistent by % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4217) all_10_53 = e0 & ~ (all_10_54 = e1) % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4217) implies: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4218) all_10_53 = e0 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (4218) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4219) op(e1, all_4_19) = e0 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4220) (all_10_56 = e4 & ~ (all_10_57 = e0)) | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_59 = e3 & ~ (all_10_60 = e0)) % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4220) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4221) all_10_56 = e4 & ~ (all_10_57 = e0) % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2486), (3998), (4221) are inconsistent by % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #129. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4222) all_10_59 = e3 & ~ (all_10_60 = e0) % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4222) implies: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4223) all_10_59 = e3 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (570), (4223) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4224) op(e0, all_4_21) = e3 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4225) all_8_4 = e2 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3945), (4225) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4226) e2 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2475), (4226) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4227) $false % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4227) is inconsistent. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4228) all_8_5 = e2 | all_8_8 = e2 | all_8_14 = e2 | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_22 = e2 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4229) all_8_2 = e3 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (4229) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4230) e3 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3996), (4230) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4231) $false % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4231) is inconsistent. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4232) all_8_3 = e3 | all_8_5 = e3 | all_8_10 = e3 | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e3 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4233) all_8_1 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3930), (4233) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4234) e4 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2492), (4234) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4235) $false % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4235) is inconsistent. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4236) all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_21 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4237) all_8_2 = e0 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (4237) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4238) e1 = e0 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (4238) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4239) $false % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4239) is inconsistent. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4240) all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e0 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4241) all_8_20 = e3 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2483), (3995), (4241) are inconsistent by % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4242) ~ (all_8_20 = e3) % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4243) all_8_21 = e3 | all_8_22 = e3 | all_8_23 = e3 | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_24 = e3 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2503) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4244) all_6_7 = e2 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (4244) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4245) all_4_11 = e2 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4245) implies: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4246) all_4_11 = e2 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (4246) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4247) all_8_5 = e2 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4232) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4248) all_8_3 = e3 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (4248) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4249) all_4_6 = e3 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4240) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4250) all_8_3 = e0 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4248), (4250) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4251) e3 = e0 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (4251) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4252) $false % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4252) is inconsistent. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4253) all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (108), (430), (2476), (2493), (3919), (3993), % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4224), (4247), (4253), (function-axioms) are % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #40. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4254) all_8_5 = e3 | all_8_10 = e3 | all_8_17 = e3 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (430), (2474), (3919), (3991), (3995), (4247), % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4254) are inconsistent by sub-proof #6. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4255) ~ (all_6_7 = e2) % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (38), (39), (55), (60), (310), (313), (328), % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (334), (345), (400), (402), (403), (406), (410), % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (414), (415), (425), (436), (446), (462), (479), % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (491), (509), (530), (559), (1458), (2470), % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2474), (2491), (2518), (2524), (3908), (3910), % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3953), (3979), (3993), (4219), (4228), (4236), % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4243), (4255), (function-axioms) are inconsistent % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4256) (all_10_62 = e2 & ~ (all_10_63 = e0)) | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_10_65 = e1 & ~ (all_10_66 = e0)) % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4256) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4257) all_10_62 = e2 & ~ (all_10_63 = e0) % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4257) implies: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4258) all_10_62 = e2 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (571), (4258) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4259) op(e0, all_4_22) = e2 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (215) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4260) all_8_12 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2463), (4260) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4261) e2 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2475), (4261) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4262) $false % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4262) is inconsistent. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4263) ~ (all_8_12 = e1) % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4264) all_8_13 = e1 | all_8_14 = e1 | all_8_15 = e1 | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_19 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4265) all_8_4 = e2 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3945), (4265) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4266) e2 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2475), (4266) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4267) $false % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4267) is inconsistent. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4268) all_8_5 = e2 | all_8_8 = e2 | all_8_14 = e2 | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_22 = e2 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (166) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4269) all_6_16 = e4 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (461), (3935), (4269) are inconsistent by % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #71. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4270) all_6_16 = e3 | all_6_16 = e2 | all_6_16 = e1 | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_16 = e0 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (230) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4271) all_8_2 = e3 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (4271) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4272) e3 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3996), (4272) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4273) $false % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4273) is inconsistent. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4274) all_8_3 = e3 | all_8_5 = e3 | all_8_10 = e3 | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e3 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (233) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4275) all_8_1 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3930), (4275) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4276) e4 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2492), (4276) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4277) $false % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4277) is inconsistent. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4278) all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_21 = e1 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4279) all_8_2 = e0 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (390), (4279) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4280) e1 = e0 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (489), (4280) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4281) $false % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4281) is inconsistent. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4282) all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_17 = e0 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4283) all_8_20 = e3 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2483), (3995), (4283) are inconsistent by % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4284) ~ (all_8_20 = e3) % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4285) all_8_21 = e3 | all_8_22 = e3 | all_8_23 = e3 | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_8_24 = e3 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2503) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4286) all_6_7 = e2 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (446), (4286) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4287) all_4_11 = e2 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4287) implies: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4288) all_4_11 = e2 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (410), (4288) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4289) all_8_5 = e2 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4274) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4290) all_8_3 = e3 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (400), (4290) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4291) all_4_6 = e3 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (71), (4291) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4292) ~ (all_4_8 = e3) % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4292) implies: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4293) ~ (all_4_8 = e3) % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4282) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4294) all_8_3 = e0 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4290), (4294) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4295) e3 = e0 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (491), (4295) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4296) $false % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4296) is inconsistent. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4297) all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4297) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4298) all_8_5 = e0 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4289), (4298) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4299) e2 = e0 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2476), (4299) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4300) $false % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4300) is inconsistent. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4301) all_8_10 = e0 | all_8_17 = e0 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4301) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4302) all_8_10 = e0 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2493), (3919), (4302) are inconsistent by % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4303) all_8_17 = e0 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (430), (4303) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4304) all_4_21 = e0 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (15), (4304) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4305) ~ (all_4_22 = e0) % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4305) implies: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4306) ~ (all_4_22 = e0) % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (4304) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4307) ~ (all_4_24 = e0) % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2512) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4308) all_6_14 = e2 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (470), (4308) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4309) all_4_22 = e2 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4309) implies: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4310) all_4_22 = e2 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (62), (4310) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4311) ~ (all_4_7 = e2) % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (4310) imply: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4312) ~ (all_4_24 = e2) % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4312) implies: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4313) ~ (all_4_24 = e2) % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2518) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4314) all_6_24 = e2 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (479), (4313), (4314) are inconsistent by % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #5. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4315) all_6_24 = e3 | all_6_24 = e1 | all_6_24 = e0 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2530) gives: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4316) all_6_11 = e2 % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (4311), (4316) are inconsistent by % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #150. % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4317) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4317) gives: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4318) all_6_11 = e3 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (521), (4318) are inconsistent by sub-proof % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #149. % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4319) all_6_11 = e1 | all_6_11 = e0 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4319) gives: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4320) all_6_11 = e1 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (450), (3953), (4320) are inconsistent by % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #8. % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4321) all_6_11 = e0 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (450), (4321) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4322) all_4_7 = e0 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4322) implies: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4323) all_4_7 = e0 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (66), (4323) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4324) ~ (all_4_8 = e0) % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4324) implies: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4325) ~ (all_4_8 = e0) % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4270) gives: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4326) all_6_16 = e2 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (461), (2468), (4326) are inconsistent by % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70. % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4327) all_6_16 = e3 | all_6_16 = e1 | all_6_16 = e0 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4327) gives: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4328) all_6_16 = e3 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (461), (4293), (4328) are inconsistent by % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #9. % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4329) all_6_16 = e1 | all_6_16 = e0 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4264) gives: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4330) all_8_13 = e1 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (403), (4330) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4331) all_4_8 = e1 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4331) implies: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4332) all_4_8 = e1 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (334), (4332) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4333) all_10_24 = e1 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (4332) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334) ~ (all_4_13 = e1) % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4334) implies: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4335) ~ (all_4_13 = e1) % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3910) gives: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4336) ~ (all_10_24 = e1) % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4333), (4336) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4337) $false % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4337) is inconsistent. % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4338) all_10_52 = e3 & ~ (unit = e1) % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4338) implies: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4339) all_10_52 = e3 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (328), (4339) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4340) all_4_18 = e3 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (4340) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4341) ~ (all_4_13 = e3) % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2524) gives: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4342) all_6_17 = e2 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (2470), (4342) are inconsistent by % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45. % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4343) all_6_17 = e3 | all_6_17 = e1 | all_6_17 = e0 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4315) gives: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4344) all_6_24 = e3 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (4344) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4345) all_4_24 = e3 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3993), (4345) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4346) $false % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4346) is inconsistent. % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4347) all_6_24 = e1 | all_6_24 = e0 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4347) gives: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4348) all_6_24 = e1 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (4348) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4349) all_4_24 = e1 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (310), (4349) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4350) all_10_69 = e1 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3908) gives: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4351) ~ (all_10_69 = e1) % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4350), (4351) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4352) $false % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4352) is inconsistent. % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4353) all_10_55 = e0 & ~ (unit = e1) % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4353) implies: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4354) all_10_55 = e0 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (313), (4354) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4355) all_4_19 = e0 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4219), (4355) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4356) op(e1, e0) = e0 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (462), (530), (559), (3979), (4335), (4341), % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4343), (4356), (function-axioms) are inconsistent % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #2. % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4357) all_6_24 = e0 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (479), (4357) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4358) all_4_24 = e0 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1458), (4358) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4359) $false % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4359) is inconsistent. % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4360) ~ (all_8_13 = e1) % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (403), (4360) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4361) ~ (all_4_8 = e1) % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (461), (4325), (4329), (4361) are inconsistent by % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #68. % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4362) all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (109), (470), (525), (3965), (4259), (4306), % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4362), (function-axioms) are inconsistent by % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #15. % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4363) all_8_5 = e3 | all_8_10 = e3 | all_8_17 = e3 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (430), (2474), (3919), (3991), (3995), (4289), % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4363) are inconsistent by sub-proof #6. % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4364) ~ (all_6_7 = e2) % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (35), (38), (39), (55), (60), (310), (313), (328), % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (334), (345), (400), (402), (403), (406), (410), % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (414), (415), (425), (436), (446), (462), (479), % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (491), (509), (530), (559), (1458), (2470), % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2474), (2491), (2518), (2524), (3908), (3910), % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3953), (3979), (3993), (4219), (4268), (4278), % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4285), (4364), (function-axioms) are inconsistent % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #1. % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4365) all_10_65 = e1 & ~ (all_10_66 = e0) % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2492), (3999), (4365) are inconsistent by % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #128. % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4366) all_6_4 = e1 | all_6_4 = e0 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4366) gives: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4367) all_6_4 = e1 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (4367) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4368) all_4_20 = e1 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4368) implies: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4369) all_4_20 = e1 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3950), (4369) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4370) $false % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4370) is inconsistent. % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4371) all_6_4 = e0 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (466), (4371) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4372) all_4_20 = e0 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4372) implies: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4373) all_4_20 = e0 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (503), (4373) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4374) $false % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4374) is inconsistent. % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4375) all_8_24 = e4 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (436), (2490), (4375) are inconsistent by % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #65. % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | (4376) all_10_50 = e3 & ~ (unit = e1) % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (343), (523), (4376) are inconsistent by sub-proof % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | #152. % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | (4377) all_10_11 = e0 & ~ (all_10_12 = e4) % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (4377) implies: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | (4378) ~ (all_10_12 = e4) % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2497), (4378) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | (4379) $false % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4379) is inconsistent. % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | (4380) all_8_4 = e4 | all_8_9 = e4 | all_8_16 = e4 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4380) gives: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | (4381) all_8_4 = e4 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (407), (4381) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | (4382) all_4_10 = e4 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (527), (4382) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | (4383) $false % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4383) is inconsistent. % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | (4384) all_8_9 = e4 | all_8_16 = e4 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4384) gives: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | (4385) all_8_9 = e4 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (418), (4385) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | (4386) all_4_15 = e4 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3921), (4386) imply: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | (4387) $false % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4387) is inconsistent. % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | (4388) all_8_16 = e4 % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (428), (3901), (4388) are inconsistent by % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #56. % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.20 | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | (4389) ( ~ (all_10_1 = e0) | (all_10_58 = e4 & ~ (unit = % 81.81/12.20 | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_4 = e0) | (all_10_61 = % 81.81/12.20 | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_7 = e0) | % 81.81/12.20 | | | | | | | | | | | | | | | | | | (all_10_64 = e4 & ~ (unit = e0))) & ( ~ % 81.81/12.20 | | | | | | | | | | | | | | | | | | (all_10_10 = e0) | (all_10_67 = e4 & ~ (unit = % 81.81/12.20 | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_13 = e0) | (all_10_69 = % 81.81/12.20 | | | | | | | | | | | | | | | | | | e4 & ~ (unit = e0))) & ( ~ (all_10_16 = e0) | % 81.81/12.20 | | | | | | | | | | | | | | | | | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 81.81/12.20 | | | | | | | | | | | | | | | | | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit = % 81.81/12.20 | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_21 = e0) | (all_10_64 = % 81.81/12.20 | | | | | | | | | | | | | | | | | | e3 & ~ (unit = e0))) & ( ~ (all_10_24 = e0) | % 81.81/12.20 | | | | | | | | | | | | | | | | | | (all_10_67 = e3 & ~ (unit = e0))) & ( ~ % 81.81/12.20 | | | | | | | | | | | | | | | | | | (all_10_27 = e0) | (all_10_69 = e3 & ~ (unit = % 81.81/12.20 | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_30 = e0) | (all_10_58 = % 81.81/12.20 | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_33 = e0) | % 81.81/12.20 | | | | | | | | | | | | | | | | | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 81.81/12.20 | | | | | | | | | | | | | | | | | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit = % 81.81/12.20 | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_38 = e0) | (all_10_67 = % 81.81/12.20 | | | | | | | | | | | | | | | | | | e2 & ~ (unit = e0))) & ( ~ (all_10_41 = e0) | % 81.81/12.20 | | | | | | | | | | | | | | | | | | (all_10_69 = e2 & ~ (unit = e0))) & ( ~ % 81.81/12.20 | | | | | | | | | | | | | | | | | | (all_10_44 = e0) | (all_10_58 = e1 & ~ (unit = % 81.81/12.20 | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_47 = e0) | (all_10_61 = % 81.81/12.20 | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_50 = e0) | % 81.81/12.20 | | | | | | | | | | | | | | | | | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 81.81/12.20 | | | | | | | | | | | | | | | | | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit = % 81.81/12.20 | | | | | | | | | | | | | | | | | | e0))) & ( ~ (all_10_55 = e0) | (all_10_69 = % 81.81/12.20 | | | | | | | | | | | | | | | | | | e1 & ~ (unit = e0))) & ( ~ (all_10_58 = e0) | % 81.81/12.20 | | | | | | | | | | | | | | | | | | ~ (unit = e0)) & ( ~ (all_10_61 = e0) | ~ % 81.81/12.20 | | | | | | | | | | | | | | | | | | (unit = e0)) & ( ~ (all_10_64 = e0) | ~ (unit = % 81.81/12.20 | | | | | | | | | | | | | | | | | | e0)) & ( ~ (all_10_67 = e0) | ~ (unit = e0)) % 81.81/12.20 | | | | | | | | | | | | | | | | | | & ( ~ (all_10_69 = e0) | ~ (unit = e0)) % 81.81/12.20 | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | | REF_CLOSE: (373), (386), (3901), (4389) are inconsistent by % 81.81/12.20 | | | | | | | | | | | | | | | | | | sub-proof #167. % 81.81/12.20 | | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | | % 81.81/12.20 | | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | | % 81.81/12.20 | | | | | | | | | End of split % 81.81/12.20 | | | | | | | | | % 81.81/12.20 | | | | | | | | End of split % 81.81/12.20 | | | | | | | | % 81.81/12.20 | | | | | | | End of split % 81.81/12.20 | | | | | | | % 81.81/12.20 | | | | | | End of split % 81.81/12.20 | | | | | | % 81.81/12.20 | | | | | End of split % 81.81/12.20 | | | | | % 81.81/12.20 | | | | Case 2: % 81.81/12.20 | | | | | % 81.81/12.20 | | | | | (4390) all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20 = % 81.81/12.20 | | | | | e0 % 81.81/12.20 | | | | | % 81.81/12.20 | | | | | REF_CLOSE: (473), (495), (507), (519), (2466), (4390) are inconsistent % 81.81/12.20 | | | | | by sub-proof #87. % 81.81/12.20 | | | | | % 81.81/12.20 | | | | End of split % 81.81/12.20 | | | | % 81.81/12.20 | | | Case 2: % 81.81/12.20 | | | | % 81.81/12.20 | | | | (4391) all_6_15 = e3 | all_6_15 = e1 | all_6_15 = e0 % 81.81/12.20 | | | | % 81.81/12.20 | | | | REF_CLOSE: (459), (493), (505), (517), (4391) are inconsistent by % 81.81/12.20 | | | | sub-proof #86. % 81.81/12.20 | | | | % 81.81/12.20 | | | End of split % 81.81/12.20 | | | % 81.81/12.20 | | End of split % 81.81/12.20 | | % 81.81/12.20 | End of split % 81.81/12.20 | % 81.81/12.20 End of proof % 81.81/12.20 % 81.81/12.20 Sub-proof #1 shows that the following formulas are inconsistent: % 81.81/12.20 ---------------------------------------------------------------- % 81.81/12.20 (1) all_6_7 = all_4_11 % 81.81/12.20 (2) ~ (all_4_7 = e1) % 81.81/12.20 (3) all_10_24 = all_4_8 % 81.81/12.20 (4) all_8_13 = all_4_8 % 81.81/12.20 (5) all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1 % 81.81/12.20 (6) ~ (e3 = e2) % 81.81/12.20 (7) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 | all_6_17 = e0 % 81.81/12.20 (8) all_8_5 = e2 | all_8_8 = e2 | all_8_14 = e2 | all_8_22 = e2 % 81.81/12.20 (9) all_8_8 = e4 % 81.81/12.20 (10) op(e1, e0) = e4 % 81.81/12.20 (11) ~ (all_4_9 = all_4_24) % 81.81/12.20 (12) all_8_21 = all_4_9 % 81.81/12.20 (13) all_10_69 = all_4_24 % 81.81/12.20 (14) all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 | all_6_24 = e0 % 81.81/12.20 (15) all_8_7 = all_4_7 % 81.81/12.20 (16) ~ (all_4_24 = e0) % 81.81/12.20 (17) ~ (all_4_24 = e3) % 81.81/12.21 (18) all_8_24 = all_4_24 % 81.81/12.21 (19) ~ (all_4_13 = all_4_18) % 81.81/12.21 (20) ~ (all_4_14 = all_4_24) % 81.81/12.21 (21) ~ (all_10_24 = e1) | (all_10_52 = e3 & ~ (unit = e1)) % 81.81/12.21 (22) ~ (all_6_7 = e2) % 81.81/12.21 (23) op(e1, all_4_19) = e0 % 81.81/12.21 (24) ~ (all_4_13 = e4) % 81.81/12.21 (25) op(e1, all_4_13) = all_10_37 % 81.81/12.21 (26) all_10_55 = all_4_19 % 81.81/12.21 (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 81.81/12.21 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 81.81/12.21 (28) all_8_22 = all_4_14 % 81.81/12.21 (29) all_8_3 = all_4_6 % 81.81/12.21 (30) all_8_14 = all_4_13 % 81.81/12.21 (31) ~ (e3 = e0) % 81.81/12.21 (32) ~ (all_10_69 = e1) | (all_10_55 = e0 & ~ (unit = e1)) % 81.81/12.21 (33) all_6_24 = all_4_24 % 81.81/12.21 (34) all_10_52 = all_4_18 % 81.81/12.21 (35) all_8_5 = all_4_11 % 81.81/12.21 (36) all_6_17 = all_4_13 % 81.81/12.21 (37) ~ (all_4_13 = all_4_14) % 81.81/12.21 (38) ~ (all_4_6 = e1) % 81.81/12.21 (39) all_8_23 = all_4_19 % 81.81/12.21 (40) ~ (e4 = e2) % 81.81/12.21 (41) ~ (all_4_8 = all_4_13) % 81.81/12.21 (42) all_8_21 = e3 | all_8_22 = e3 | all_8_23 = e3 | all_8_24 = e3 % 81.81/12.21 (43) ~ (all_4_13 = e2) % 81.81/12.21 % 81.81/12.21 Begin of proof % 81.81/12.21 | % 81.81/12.21 | REDUCE: (1), (22) imply: % 81.81/12.21 | (44) ~ (all_4_11 = e2) % 81.81/12.21 | % 81.81/12.21 | BETA: splitting (8) gives: % 81.81/12.21 | % 81.81/12.21 | Case 1: % 81.81/12.21 | | % 81.81/12.21 | | (45) all_8_5 = e2 % 81.81/12.21 | | % 81.81/12.21 | | COMBINE_EQS: (35), (45) imply: % 81.81/12.21 | | (46) all_4_11 = e2 % 81.81/12.21 | | % 81.81/12.21 | | REDUCE: (44), (46) imply: % 81.81/12.21 | | (47) $false % 81.81/12.21 | | % 81.81/12.21 | | CLOSE: (47) is inconsistent. % 81.81/12.21 | | % 81.81/12.21 | Case 2: % 81.81/12.21 | | % 81.81/12.21 | | (48) all_8_8 = e2 | all_8_14 = e2 | all_8_22 = e2 % 81.81/12.21 | | % 81.81/12.21 | | BETA: splitting (48) gives: % 81.81/12.21 | | % 81.81/12.21 | | Case 1: % 81.81/12.21 | | | % 81.81/12.21 | | | (49) all_8_8 = e2 % 81.81/12.21 | | | % 81.81/12.21 | | | REF_CLOSE: (9), (40), (49) are inconsistent by sub-proof #160. % 81.81/12.21 | | | % 81.81/12.21 | | Case 2: % 81.81/12.21 | | | % 81.81/12.21 | | | (50) all_8_14 = e2 | all_8_22 = e2 % 81.81/12.21 | | | % 81.81/12.21 | | | BETA: splitting (50) gives: % 81.81/12.21 | | | % 81.81/12.21 | | | Case 1: % 81.81/12.21 | | | | % 81.81/12.21 | | | | (51) all_8_14 = e2 % 81.81/12.21 | | | | % 81.81/12.21 | | | | REF_CLOSE: (30), (43), (51) are inconsistent by sub-proof #117. % 81.81/12.21 | | | | % 81.81/12.21 | | | Case 2: % 81.81/12.21 | | | | % 81.81/12.21 | | | | (52) all_8_22 = e2 % 81.81/12.21 | | | | % 81.81/12.21 | | | | COMBINE_EQS: (28), (52) imply: % 81.81/12.21 | | | | (53) all_4_14 = e2 % 81.81/12.21 | | | | % 81.81/12.21 | | | | SIMP: (53) implies: % 81.81/12.21 | | | | (54) all_4_14 = e2 % 81.81/12.21 | | | | % 81.81/12.21 | | | | REDUCE: (20), (54) imply: % 81.81/12.21 | | | | (55) ~ (all_4_24 = e2) % 81.81/12.21 | | | | % 81.81/12.21 | | | | SIMP: (55) implies: % 81.81/12.21 | | | | (56) ~ (all_4_24 = e2) % 81.81/12.21 | | | | % 81.81/12.21 | | | | BETA: splitting (14) gives: % 81.81/12.21 | | | | % 81.81/12.21 | | | | Case 1: % 81.81/12.21 | | | | | % 81.81/12.21 | | | | | (57) all_6_24 = e2 % 81.81/12.21 | | | | | % 81.81/12.21 | | | | | REF_CLOSE: (33), (56), (57) are inconsistent by sub-proof #5. % 81.81/12.21 | | | | | % 81.81/12.21 | | | | Case 2: % 81.81/12.21 | | | | | % 81.81/12.21 | | | | | (58) all_6_24 = e3 | all_6_24 = e1 | all_6_24 = e0 % 81.81/12.21 | | | | | % 81.81/12.21 | | | | | BETA: splitting (58) gives: % 81.81/12.21 | | | | | % 81.81/12.21 | | | | | Case 1: % 81.81/12.21 | | | | | | % 81.81/12.21 | | | | | | (59) all_6_24 = e3 % 81.81/12.21 | | | | | | % 81.81/12.21 | | | | | | REF_CLOSE: (17), (33), (59) are inconsistent by sub-proof #51. % 81.81/12.21 | | | | | | % 81.81/12.21 | | | | | Case 2: % 81.81/12.21 | | | | | | % 81.81/12.21 | | | | | | (60) ~ (all_6_24 = e3) % 81.81/12.21 | | | | | | (61) all_6_24 = e1 | all_6_24 = e0 % 81.81/12.21 | | | | | | % 81.81/12.21 | | | | | | BETA: splitting (61) gives: % 81.81/12.21 | | | | | | % 81.81/12.21 | | | | | | Case 1: % 81.81/12.21 | | | | | | | % 81.81/12.21 | | | | | | | (62) all_6_24 = e1 % 81.81/12.21 | | | | | | | % 81.81/12.21 | | | | | | | COMBINE_EQS: (33), (62) imply: % 81.81/12.21 | | | | | | | (63) all_4_24 = e1 % 81.81/12.21 | | | | | | | % 81.81/12.21 | | | | | | | SIMP: (63) implies: % 81.81/12.21 | | | | | | | (64) all_4_24 = e1 % 81.81/12.21 | | | | | | | % 81.81/12.21 | | | | | | | COMBINE_EQS: (18), (64) imply: % 81.81/12.21 | | | | | | | (65) all_8_24 = e1 % 81.81/12.21 | | | | | | | % 81.81/12.21 | | | | | | | COMBINE_EQS: (13), (64) imply: % 81.81/12.21 | | | | | | | (66) all_10_69 = e1 % 81.81/12.21 | | | | | | | % 81.81/12.21 | | | | | | | REDUCE: (11), (64) imply: % 81.81/12.21 | | | | | | | (67) ~ (all_4_9 = e1) % 81.81/12.21 | | | | | | | % 81.81/12.21 | | | | | | | REDUCE: (17), (64) imply: % 81.81/12.21 | | | | | | | (68) ~ (e3 = e1) % 81.81/12.21 | | | | | | | % 81.81/12.21 | | | | | | | SIMP: (68) implies: % 81.81/12.21 | | | | | | | (69) ~ (e3 = e1) % 81.81/12.21 | | | | | | | % 81.81/12.21 | | | | | | | BETA: splitting (32) gives: % 81.81/12.21 | | | | | | | % 81.81/12.21 | | | | | | | Case 1: % 81.81/12.21 | | | | | | | | % 81.81/12.21 | | | | | | | | (70) ~ (all_10_69 = e1) % 81.81/12.21 | | | | | | | | % 81.81/12.21 | | | | | | | | REDUCE: (66), (70) imply: % 81.81/12.21 | | | | | | | | (71) $false % 81.81/12.21 | | | | | | | | % 81.81/12.21 | | | | | | | | CLOSE: (71) is inconsistent. % 81.81/12.21 | | | | | | | | % 81.81/12.21 | | | | | | | Case 2: % 81.81/12.21 | | | | | | | | % 81.81/12.21 | | | | | | | | (72) all_10_55 = e0 & ~ (unit = e1) % 81.81/12.21 | | | | | | | | % 81.81/12.21 | | | | | | | | ALPHA: (72) implies: % 81.81/12.21 | | | | | | | | (73) all_10_55 = e0 % 81.81/12.21 | | | | | | | | % 81.81/12.21 | | | | | | | | COMBINE_EQS: (26), (73) imply: % 81.81/12.21 | | | | | | | | (74) all_4_19 = e0 % 81.81/12.21 | | | | | | | | % 81.81/12.21 | | | | | | | | COMBINE_EQS: (39), (74) imply: % 81.81/12.21 | | | | | | | | (75) all_8_23 = e0 % 81.81/12.21 | | | | | | | | % 81.81/12.21 | | | | | | | | REDUCE: (23), (74) imply: % 81.81/12.21 | | | | | | | | (76) op(e1, e0) = e0 % 81.81/12.21 | | | | | | | | % 81.81/12.21 | | | | | | | | BETA: splitting (5) gives: % 81.81/12.21 | | | | | | | | % 81.81/12.21 | | | | | | | | Case 1: % 81.81/12.21 | | | | | | | | | % 81.81/12.21 | | | | | | | | | (77) all_8_3 = e1 % 81.81/12.21 | | | | | | | | | % 81.81/12.21 | | | | | | | | | COMBINE_EQS: (29), (77) imply: % 81.81/12.21 | | | | | | | | | (78) all_4_6 = e1 % 81.81/12.21 | | | | | | | | | % 81.81/12.21 | | | | | | | | | REDUCE: (38), (78) imply: % 81.81/12.21 | | | | | | | | | (79) $false % 81.81/12.21 | | | | | | | | | % 81.81/12.21 | | | | | | | | | CLOSE: (79) is inconsistent. % 81.81/12.21 | | | | | | | | | % 81.81/12.21 | | | | | | | | Case 2: % 81.81/12.21 | | | | | | | | | % 81.81/12.21 | | | | | | | | | (80) all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1 % 81.81/12.21 | | | | | | | | | % 81.81/12.21 | | | | | | | | | BETA: splitting (80) gives: % 81.81/12.21 | | | | | | | | | % 81.81/12.21 | | | | | | | | | Case 1: % 81.81/12.21 | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | (81) all_8_7 = e1 % 81.81/12.21 | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | COMBINE_EQS: (15), (81) imply: % 81.81/12.21 | | | | | | | | | | (82) all_4_7 = e1 % 81.81/12.21 | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | REDUCE: (2), (82) imply: % 81.81/12.21 | | | | | | | | | | (83) $false % 81.81/12.21 | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | CLOSE: (83) is inconsistent. % 81.81/12.21 | | | | | | | | | | % 81.81/12.21 | | | | | | | | | Case 2: % 81.81/12.21 | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | (84) all_8_13 = e1 | all_8_21 = e1 % 81.81/12.21 | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | BETA: splitting (42) gives: % 81.81/12.21 | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | Case 1: % 81.81/12.21 | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | (85) all_8_21 = e3 % 81.81/12.21 | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | COMBINE_EQS: (12), (85) imply: % 81.81/12.21 | | | | | | | | | | | (86) all_4_9 = e3 % 81.81/12.21 | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | SIMP: (86) implies: % 81.81/12.21 | | | | | | | | | | | (87) all_4_9 = e3 % 81.81/12.21 | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | BETA: splitting (84) gives: % 81.81/12.21 | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | Case 1: % 81.81/12.21 | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | (88) all_8_13 = e1 % 81.81/12.21 | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | COMBINE_EQS: (4), (88) imply: % 81.81/12.21 | | | | | | | | | | | | (89) all_4_8 = e1 % 81.81/12.21 | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | SIMP: (89) implies: % 81.81/12.21 | | | | | | | | | | | | (90) all_4_8 = e1 % 81.81/12.21 | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | COMBINE_EQS: (3), (90) imply: % 81.81/12.21 | | | | | | | | | | | | (91) all_10_24 = e1 % 81.81/12.21 | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | REDUCE: (41), (90) imply: % 81.81/12.21 | | | | | | | | | | | | (92) ~ (all_4_13 = e1) % 81.81/12.21 | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | SIMP: (92) implies: % 81.81/12.21 | | | | | | | | | | | | (93) ~ (all_4_13 = e1) % 81.81/12.21 | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | BETA: splitting (21) gives: % 81.81/12.21 | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | Case 1: % 81.81/12.21 | | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | | (94) ~ (all_10_24 = e1) % 81.81/12.21 | | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | | REDUCE: (91), (94) imply: % 81.81/12.21 | | | | | | | | | | | | | (95) $false % 81.81/12.21 | | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | | CLOSE: (95) is inconsistent. % 81.81/12.21 | | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | Case 2: % 81.81/12.21 | | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | | (96) all_10_52 = e3 & ~ (unit = e1) % 81.81/12.21 | | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | | ALPHA: (96) implies: % 81.81/12.21 | | | | | | | | | | | | | (97) all_10_52 = e3 % 81.81/12.21 | | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | | COMBINE_EQS: (34), (97) imply: % 81.81/12.21 | | | | | | | | | | | | | (98) all_4_18 = e3 % 81.81/12.21 | | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | | REDUCE: (19), (98) imply: % 81.81/12.21 | | | | | | | | | | | | | (99) ~ (all_4_13 = e3) % 81.81/12.21 | | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | | BETA: splitting (7) gives: % 81.81/12.21 | | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | | Case 1: % 81.81/12.21 | | | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | | | (100) all_6_17 = e2 % 81.81/12.21 | | | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | | | REF_CLOSE: (36), (43), (100) are inconsistent by sub-proof % 81.81/12.21 | | | | | | | | | | | | | | #45. % 81.81/12.21 | | | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | | Case 2: % 81.81/12.21 | | | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | | | (101) all_6_17 = e3 | all_6_17 = e1 | all_6_17 = e0 % 81.81/12.21 | | | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | | | REF_CLOSE: (10), (24), (25), (27), (36), (76), (93), (99), % 81.81/12.21 | | | | | | | | | | | | | | (101) are inconsistent by sub-proof #2. % 81.81/12.21 | | | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | | End of split % 81.81/12.21 | | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | End of split % 81.81/12.21 | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | Case 2: % 81.81/12.21 | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | (102) all_8_21 = e1 % 81.81/12.21 | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | | REF_CLOSE: (69), (85), (102) are inconsistent by sub-proof % 81.81/12.21 | | | | | | | | | | | | #4. % 81.81/12.21 | | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | End of split % 81.81/12.21 | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | Case 2: % 81.81/12.21 | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | (103) all_8_22 = e3 | all_8_23 = e3 | all_8_24 = e3 % 81.81/12.21 | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | | REF_CLOSE: (6), (31), (52), (65), (69), (75), (103) are % 81.81/12.21 | | | | | | | | | | | inconsistent by sub-proof #10. % 81.81/12.21 | | | | | | | | | | | % 81.81/12.21 | | | | | | | | | | End of split % 81.81/12.21 | | | | | | | | | | % 81.81/12.21 | | | | | | | | | End of split % 81.81/12.21 | | | | | | | | | % 81.81/12.21 | | | | | | | | End of split % 81.81/12.21 | | | | | | | | % 81.81/12.21 | | | | | | | End of split % 81.81/12.21 | | | | | | | % 81.81/12.21 | | | | | | Case 2: % 81.81/12.21 | | | | | | | % 81.81/12.21 | | | | | | | (104) all_6_24 = e0 % 81.81/12.21 | | | | | | | % 81.81/12.21 | | | | | | | REF_CLOSE: (16), (33), (104) are inconsistent by sub-proof #3. % 81.81/12.21 | | | | | | | % 81.81/12.21 | | | | | | End of split % 81.81/12.21 | | | | | | % 81.81/12.21 | | | | | End of split % 81.81/12.21 | | | | | % 81.81/12.21 | | | | End of split % 81.81/12.21 | | | | % 81.81/12.21 | | | End of split % 81.81/12.21 | | | % 81.81/12.21 | | End of split % 81.81/12.21 | | % 81.81/12.21 | End of split % 81.81/12.21 | % 81.81/12.21 End of proof % 81.81/12.21 % 81.81/12.21 Sub-proof #2 shows that the following formulas are inconsistent: % 81.81/12.21 ---------------------------------------------------------------- % 81.81/12.21 (1) op(e1, e0) = e0 % 81.81/12.21 (2) op(e1, e0) = e4 % 81.81/12.21 (3) ~ (all_4_13 = e1) % 81.81/12.21 (4) ~ (all_4_13 = e4) % 81.81/12.21 (5) op(e1, all_4_13) = all_10_37 % 81.81/12.21 (6) ~ (all_4_13 = e3) % 81.81/12.21 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 81.81/12.21 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 81.81/12.21 (8) all_6_17 = all_4_13 % 81.81/12.21 (9) all_6_17 = e3 | all_6_17 = e1 | all_6_17 = e0 % 81.81/12.21 % 81.81/12.21 Begin of proof % 81.81/12.21 | % 81.81/12.21 | BETA: splitting (9) gives: % 81.81/12.21 | % 81.81/12.21 | Case 1: % 81.81/12.21 | | % 81.81/12.21 | | (10) all_6_17 = e3 % 81.81/12.21 | | % 81.81/12.21 | | REF_CLOSE: (6), (8), (10) are inconsistent by sub-proof #17. % 81.81/12.21 | | % 81.81/12.21 | Case 2: % 81.81/12.21 | | % 81.81/12.21 | | (11) all_6_17 = e1 | all_6_17 = e0 % 81.81/12.21 | | % 81.81/12.21 | | BETA: splitting (11) gives: % 81.81/12.21 | | % 81.81/12.21 | | Case 1: % 81.81/12.21 | | | % 81.81/12.21 | | | (12) all_6_17 = e1 % 81.81/12.21 | | | % 81.81/12.21 | | | REF_CLOSE: (3), (8), (12) are inconsistent by sub-proof #93. % 81.81/12.21 | | | % 81.81/12.21 | | Case 2: % 81.81/12.21 | | | % 81.81/12.21 | | | (13) all_6_17 = e0 % 81.81/12.21 | | | % 81.81/12.21 | | | COMBINE_EQS: (8), (13) imply: % 81.81/12.21 | | | (14) all_4_13 = e0 % 81.81/12.21 | | | % 81.81/12.21 | | | SIMP: (14) implies: % 81.81/12.21 | | | (15) all_4_13 = e0 % 81.81/12.21 | | | % 81.81/12.21 | | | REDUCE: (4), (15) imply: % 81.81/12.21 | | | (16) ~ (e4 = e0) % 81.81/12.21 | | | % 81.81/12.21 | | | SIMP: (16) implies: % 81.81/12.21 | | | (17) ~ (e4 = e0) % 81.81/12.21 | | | % 81.81/12.21 | | | REDUCE: (5), (15) imply: % 81.81/12.21 | | | (18) op(e1, e0) = all_10_37 % 81.81/12.21 | | | % 81.81/12.21 | | | GROUND_INST: instantiating (7) with e4, all_10_37, e0, e1, simplifying % 81.81/12.21 | | | with (2), (18) gives: % 81.81/12.21 | | | (19) all_10_37 = e4 % 81.81/12.21 | | | % 81.81/12.21 | | | GROUND_INST: instantiating (7) with e0, all_10_37, e0, e1, simplifying % 81.81/12.21 | | | with (1), (18) gives: % 81.81/12.21 | | | (20) all_10_37 = e0 % 81.81/12.21 | | | % 81.81/12.21 | | | COMBINE_EQS: (19), (20) imply: % 81.81/12.21 | | | (21) e4 = e0 % 81.81/12.21 | | | % 81.81/12.21 | | | REDUCE: (17), (21) imply: % 81.81/12.21 | | | (22) $false % 81.81/12.21 | | | % 81.81/12.21 | | | CLOSE: (22) is inconsistent. % 81.81/12.21 | | | % 81.81/12.21 | | End of split % 81.81/12.21 | | % 81.81/12.21 | End of split % 81.81/12.21 | % 81.81/12.21 End of proof % 81.81/12.21 % 81.81/12.21 Sub-proof #3 shows that the following formulas are inconsistent: % 81.81/12.21 ---------------------------------------------------------------- % 81.81/12.21 (1) all_6_24 = all_4_24 % 81.81/12.21 (2) all_6_24 = e0 % 81.81/12.21 (3) ~ (all_4_24 = e0) % 81.81/12.21 % 81.81/12.21 Begin of proof % 81.81/12.21 | % 81.81/12.21 | COMBINE_EQS: (1), (2) imply: % 81.81/12.21 | (4) all_4_24 = e0 % 81.81/12.21 | % 81.81/12.21 | SIMP: (4) implies: % 81.81/12.21 | (5) all_4_24 = e0 % 81.81/12.21 | % 81.81/12.21 | REDUCE: (3), (5) imply: % 81.81/12.21 | (6) $false % 81.81/12.21 | % 81.81/12.21 | CLOSE: (6) is inconsistent. % 81.81/12.21 | % 81.81/12.21 End of proof % 81.81/12.21 % 81.81/12.21 Sub-proof #4 shows that the following formulas are inconsistent: % 81.81/12.21 ---------------------------------------------------------------- % 81.81/12.21 (1) all_8_21 = e3 % 81.81/12.21 (2) all_8_21 = e1 % 81.81/12.21 (3) ~ (e3 = e1) % 81.81/12.21 % 81.81/12.21 Begin of proof % 81.81/12.21 | % 81.81/12.21 | COMBINE_EQS: (1), (2) imply: % 81.81/12.21 | (4) e3 = e1 % 81.81/12.21 | % 81.81/12.21 | SIMP: (4) implies: % 81.81/12.21 | (5) e3 = e1 % 81.81/12.21 | % 81.81/12.21 | REDUCE: (3), (5) imply: % 81.81/12.21 | (6) $false % 81.81/12.21 | % 81.81/12.21 | CLOSE: (6) is inconsistent. % 81.81/12.21 | % 81.81/12.21 End of proof % 81.81/12.21 % 81.81/12.21 Sub-proof #5 shows that the following formulas are inconsistent: % 81.81/12.21 ---------------------------------------------------------------- % 81.81/12.21 (1) all_6_24 = all_4_24 % 81.81/12.21 (2) all_6_24 = e2 % 81.81/12.21 (3) ~ (all_4_24 = e2) % 81.81/12.21 % 81.81/12.21 Begin of proof % 81.81/12.21 | % 81.81/12.21 | COMBINE_EQS: (1), (2) imply: % 81.81/12.21 | (4) all_4_24 = e2 % 81.81/12.21 | % 81.81/12.21 | SIMP: (4) implies: % 81.81/12.21 | (5) all_4_24 = e2 % 81.81/12.21 | % 81.81/12.21 | REDUCE: (3), (5) imply: % 81.81/12.21 | (6) $false % 81.81/12.21 | % 81.81/12.21 | CLOSE: (6) is inconsistent. % 81.81/12.21 | % 81.81/12.21 End of proof % 81.81/12.21 % 81.81/12.21 Sub-proof #6 shows that the following formulas are inconsistent: % 81.81/12.21 ---------------------------------------------------------------- % 81.81/12.21 (1) ~ (e3 = e2) % 81.81/12.21 (2) all_8_5 = e3 | all_8_10 = e3 | all_8_17 = e3 % 81.81/12.21 (3) all_8_10 = e4 % 81.81/12.21 (4) ~ (all_4_21 = e3) % 81.81/12.21 (5) ~ (e4 = e3) % 81.81/12.21 (6) all_8_17 = all_4_21 % 81.81/12.21 (7) all_8_5 = e2 % 81.81/12.21 % 81.81/12.21 Begin of proof % 81.81/12.21 | % 81.81/12.21 | BETA: splitting (2) gives: % 81.81/12.21 | % 81.81/12.21 | Case 1: % 81.81/12.21 | | % 81.81/12.21 | | (8) all_8_5 = e3 % 81.81/12.21 | | % 81.81/12.21 | | COMBINE_EQS: (7), (8) imply: % 81.81/12.21 | | (9) e3 = e2 % 81.81/12.21 | | % 81.81/12.21 | | SIMP: (9) implies: % 81.81/12.21 | | (10) e3 = e2 % 81.81/12.21 | | % 81.81/12.21 | | REDUCE: (1), (10) imply: % 81.81/12.21 | | (11) $false % 81.81/12.21 | | % 81.81/12.21 | | CLOSE: (11) is inconsistent. % 81.81/12.21 | | % 81.81/12.21 | Case 2: % 81.81/12.21 | | % 81.81/12.21 | | (12) all_8_10 = e3 | all_8_17 = e3 % 81.81/12.21 | | % 81.81/12.21 | | BETA: splitting (12) gives: % 81.81/12.21 | | % 81.81/12.21 | | Case 1: % 81.81/12.21 | | | % 81.81/12.21 | | | (13) all_8_10 = e3 % 81.81/12.21 | | | % 81.81/12.21 | | | COMBINE_EQS: (3), (13) imply: % 81.81/12.21 | | | (14) e4 = e3 % 81.81/12.21 | | | % 81.81/12.21 | | | SIMP: (14) implies: % 81.81/12.21 | | | (15) e4 = e3 % 81.81/12.21 | | | % 81.81/12.21 | | | REDUCE: (5), (15) imply: % 81.81/12.21 | | | (16) $false % 81.81/12.21 | | | % 81.81/12.21 | | | CLOSE: (16) is inconsistent. % 81.81/12.21 | | | % 81.81/12.21 | | Case 2: % 81.81/12.21 | | | % 81.81/12.21 | | | (17) all_8_17 = e3 % 81.81/12.21 | | | % 81.81/12.21 | | | COMBINE_EQS: (6), (17) imply: % 81.81/12.21 | | | (18) all_4_21 = e3 % 81.81/12.21 | | | % 81.81/12.21 | | | REDUCE: (4), (18) imply: % 81.81/12.21 | | | (19) $false % 81.81/12.21 | | | % 81.81/12.21 | | | CLOSE: (19) is inconsistent. % 81.81/12.21 | | | % 81.81/12.21 | | End of split % 81.81/12.21 | | % 81.81/12.21 | End of split % 81.81/12.21 | % 81.81/12.21 End of proof % 81.81/12.21 % 81.81/12.21 Sub-proof #7 shows that the following formulas are inconsistent: % 81.81/12.21 ---------------------------------------------------------------- % 81.81/12.21 (1) ~ (all_4_18 = e2) % 81.81/12.21 (2) op(e1, e1) = e2 % 81.81/12.21 (3) op(e1, e1) = all_10_23 % 81.81/12.21 (4) all_10_24 = e1 % 81.81/12.21 (5) ~ (all_10_24 = e1) | (all_10_52 = e3 & ~ (unit = e1)) % 81.81/12.21 (6) op(e1, e1) = all_4_18 % 81.81/12.21 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 81.81/12.21 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 81.81/12.21 (8) all_10_52 = all_4_18 % 81.81/12.21 % 81.81/12.21 Begin of proof % 81.81/12.21 | % 81.81/12.21 | BETA: splitting (5) gives: % 81.81/12.21 | % 81.81/12.21 | Case 1: % 81.81/12.21 | | % 81.81/12.21 | | (9) ~ (all_10_24 = e1) % 81.81/12.21 | | % 81.81/12.21 | | REDUCE: (4), (9) imply: % 81.81/12.21 | | (10) $false % 81.81/12.21 | | % 81.81/12.21 | | CLOSE: (10) is inconsistent. % 81.81/12.21 | | % 81.81/12.21 | Case 2: % 81.81/12.21 | | % 81.81/12.21 | | (11) all_10_52 = e3 & ~ (unit = e1) % 81.81/12.21 | | % 81.81/12.21 | | ALPHA: (11) implies: % 81.81/12.21 | | (12) all_10_52 = e3 % 81.81/12.21 | | % 81.81/12.21 | | COMBINE_EQS: (8), (12) imply: % 81.81/12.21 | | (13) all_4_18 = e3 % 81.81/12.21 | | % 81.81/12.21 | | REDUCE: (1), (13) imply: % 81.81/12.21 | | (14) ~ (e3 = e2) % 81.81/12.21 | | % 81.81/12.21 | | REDUCE: (6), (13) imply: % 81.81/12.21 | | (15) op(e1, e1) = e3 % 81.81/12.21 | | % 81.81/12.21 | | GROUND_INST: instantiating (7) with e3, all_10_23, e1, e1, simplifying with % 81.81/12.21 | | (3), (15) gives: % 81.81/12.21 | | (16) all_10_23 = e3 % 81.81/12.21 | | % 81.81/12.21 | | GROUND_INST: instantiating (7) with e2, all_10_23, e1, e1, simplifying with % 81.81/12.21 | | (2), (3) gives: % 81.81/12.21 | | (17) all_10_23 = e2 % 81.81/12.21 | | % 81.81/12.21 | | COMBINE_EQS: (16), (17) imply: % 81.81/12.21 | | (18) e3 = e2 % 81.81/12.21 | | % 81.81/12.21 | | SIMP: (18) implies: % 81.81/12.21 | | (19) e3 = e2 % 81.81/12.21 | | % 81.81/12.22 | | REDUCE: (14), (19) imply: % 81.81/12.22 | | (20) $false % 81.81/12.22 | | % 81.81/12.22 | | CLOSE: (20) is inconsistent. % 81.81/12.22 | | % 81.81/12.22 | End of split % 81.81/12.22 | % 81.81/12.22 End of proof % 81.81/12.22 % 81.81/12.22 Sub-proof #8 shows that the following formulas are inconsistent: % 81.81/12.22 ---------------------------------------------------------------- % 81.81/12.22 (1) all_6_11 = all_4_7 % 81.81/12.22 (2) all_6_11 = e1 % 81.81/12.22 (3) ~ (all_4_7 = e1) % 81.81/12.22 % 81.81/12.22 Begin of proof % 81.81/12.22 | % 81.81/12.22 | COMBINE_EQS: (1), (2) imply: % 81.81/12.22 | (4) all_4_7 = e1 % 81.81/12.22 | % 81.81/12.22 | SIMP: (4) implies: % 81.81/12.22 | (5) all_4_7 = e1 % 81.81/12.22 | % 81.81/12.22 | REDUCE: (3), (5) imply: % 81.81/12.22 | (6) $false % 81.81/12.22 | % 81.81/12.22 | CLOSE: (6) is inconsistent. % 81.81/12.22 | % 81.81/12.22 End of proof % 81.81/12.22 % 81.81/12.22 Sub-proof #9 shows that the following formulas are inconsistent: % 81.81/12.22 ---------------------------------------------------------------- % 81.81/12.22 (1) all_6_16 = all_4_8 % 81.81/12.22 (2) all_6_16 = e3 % 81.81/12.22 (3) ~ (all_4_8 = e3) % 81.81/12.22 % 81.81/12.22 Begin of proof % 81.81/12.22 | % 81.81/12.22 | COMBINE_EQS: (1), (2) imply: % 81.81/12.22 | (4) all_4_8 = e3 % 81.81/12.22 | % 81.81/12.22 | SIMP: (4) implies: % 81.81/12.22 | (5) all_4_8 = e3 % 81.81/12.22 | % 81.81/12.22 | REDUCE: (3), (5) imply: % 81.81/12.22 | (6) $false % 81.81/12.22 | % 81.81/12.22 | CLOSE: (6) is inconsistent. % 81.81/12.22 | % 81.81/12.22 End of proof % 81.81/12.22 % 81.81/12.22 Sub-proof #10 shows that the following formulas are inconsistent: % 81.81/12.22 ---------------------------------------------------------------- % 81.81/12.22 (1) ~ (e3 = e2) % 81.81/12.22 (2) all_8_24 = e1 % 81.81/12.22 (3) all_8_22 = e2 % 81.81/12.22 (4) all_8_22 = e3 | all_8_23 = e3 | all_8_24 = e3 % 81.81/12.22 (5) all_8_23 = e0 % 81.81/12.22 (6) ~ (e3 = e0) % 81.81/12.22 (7) ~ (e3 = e1) % 81.81/12.22 % 81.81/12.22 Begin of proof % 81.81/12.22 | % 81.81/12.22 | BETA: splitting (4) gives: % 81.81/12.22 | % 81.81/12.22 | Case 1: % 81.81/12.22 | | % 81.81/12.22 | | (8) all_8_22 = e3 % 81.81/12.22 | | % 81.81/12.22 | | COMBINE_EQS: (3), (8) imply: % 81.81/12.22 | | (9) e3 = e2 % 81.81/12.22 | | % 81.81/12.22 | | REDUCE: (1), (9) imply: % 81.81/12.22 | | (10) $false % 81.81/12.22 | | % 81.81/12.22 | | CLOSE: (10) is inconsistent. % 81.81/12.22 | | % 81.81/12.22 | Case 2: % 81.81/12.22 | | % 81.81/12.22 | | (11) all_8_23 = e3 | all_8_24 = e3 % 81.81/12.22 | | % 81.81/12.22 | | BETA: splitting (11) gives: % 81.81/12.22 | | % 81.81/12.22 | | Case 1: % 81.81/12.22 | | | % 81.81/12.22 | | | (12) all_8_23 = e3 % 81.81/12.22 | | | % 81.81/12.22 | | | COMBINE_EQS: (5), (12) imply: % 81.81/12.22 | | | (13) e3 = e0 % 81.81/12.22 | | | % 81.81/12.22 | | | REDUCE: (6), (13) imply: % 81.81/12.22 | | | (14) $false % 81.81/12.22 | | | % 81.81/12.22 | | | CLOSE: (14) is inconsistent. % 81.81/12.22 | | | % 81.81/12.22 | | Case 2: % 81.81/12.22 | | | % 81.81/12.22 | | | (15) all_8_24 = e3 % 81.81/12.22 | | | % 81.81/12.22 | | | COMBINE_EQS: (2), (15) imply: % 81.81/12.22 | | | (16) e3 = e1 % 81.81/12.22 | | | % 81.81/12.22 | | | REDUCE: (7), (16) imply: % 81.81/12.22 | | | (17) $false % 81.81/12.22 | | | % 81.81/12.22 | | | CLOSE: (17) is inconsistent. % 81.81/12.22 | | | % 81.81/12.22 | | End of split % 81.81/12.22 | | % 81.81/12.22 | End of split % 81.81/12.22 | % 81.81/12.22 End of proof % 81.81/12.22 % 81.81/12.22 Sub-proof #11 shows that the following formulas are inconsistent: % 81.81/12.22 ---------------------------------------------------------------- % 81.81/12.22 (1) op(e0, e3) = e1 % 81.81/12.22 (2) op(e0, e3) = all_10_26 % 81.81/12.22 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 81.81/12.22 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 81.81/12.22 (4) op(e0, e3) = e3 % 81.81/12.22 (5) ~ (e3 = e1) % 81.81/12.22 % 81.81/12.22 Begin of proof % 81.81/12.22 | % 81.81/12.22 | GROUND_INST: instantiating (3) with e3, all_10_26, e3, e0, simplifying with % 81.81/12.22 | (2), (4) gives: % 81.81/12.22 | (6) all_10_26 = e3 % 81.81/12.22 | % 81.81/12.22 | GROUND_INST: instantiating (3) with e1, all_10_26, e3, e0, simplifying with % 81.81/12.22 | (1), (2) gives: % 81.81/12.22 | (7) all_10_26 = e1 % 81.81/12.22 | % 81.81/12.22 | COMBINE_EQS: (6), (7) imply: % 81.81/12.22 | (8) e3 = e1 % 81.81/12.22 | % 81.81/12.22 | SIMP: (8) implies: % 81.81/12.22 | (9) e3 = e1 % 81.81/12.22 | % 81.81/12.22 | REDUCE: (5), (9) imply: % 81.81/12.22 | (10) $false % 81.81/12.22 | % 81.81/12.22 | CLOSE: (10) is inconsistent. % 81.81/12.22 | % 81.81/12.22 End of proof % 81.81/12.22 % 81.81/12.22 Sub-proof #12 shows that the following formulas are inconsistent: % 81.81/12.22 ---------------------------------------------------------------- % 81.81/12.22 (1) ~ (all_4_17 = all_4_18) % 81.81/12.22 (2) op(e2, e2) = e4 % 81.81/12.22 (3) ~ (all_4_7 = e0) % 81.81/12.22 (4) ~ (all_4_7 = all_4_17) % 81.81/12.22 (5) all_8_13 = e4 | all_8_14 = e4 | all_8_15 = e4 | all_8_19 = e4 % 81.81/12.22 (6) ~ (all_10_66 = e0) % 81.81/12.22 (7) ~ (all_4_13 = all_4_23) % 81.81/12.22 (8) ~ (all_4_5 = all_4_6) % 81.81/12.22 (9) ~ (all_10_55 = e0) | (all_10_69 = e1 & ~ (unit = e0)) % 81.81/12.22 (10) all_6_7 = all_4_11 % 81.81/12.22 (11) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 = e0 % 81.81/12.22 (12) ~ (all_4_10 = all_4_11) % 81.81/12.22 (13) all_8_15 = all_4_18 % 81.81/12.22 (14) all_6_11 = all_4_7 % 81.81/12.22 (15) ~ (all_4_7 = e4) % 81.81/12.22 (16) ~ (all_10_50 = e0) | (all_10_64 = e1 & ~ (unit = e0)) % 81.81/12.22 (17) all_10_3 = e4 % 81.81/12.22 (18) all_8_9 = e3 | all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 | all_8_23 % 81.81/12.22 = e3 % 81.81/12.22 (19) ~ (all_4_5 = all_4_8) % 81.81/12.22 (20) ~ (all_4_19 = all_4_24) % 81.81/12.22 (21) all_8_13 = all_4_8 % 81.81/12.22 (22) ~ (all_4_13 = e0) % 81.81/12.22 (23) all_6_19 = all_4_23 % 81.81/12.22 (24) ~ (all_4_5 = all_4_7) % 81.81/12.22 (25) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 | all_6_21 % 81.81/12.22 = e0 % 81.81/12.22 (26) ~ (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit = e0)) % 81.81/12.22 (27) all_10_64 = all_4_22 % 81.81/12.22 (28) ~ (all_4_10 = all_4_14) % 81.81/12.22 (29) all_6_17 = e3 | all_6_17 = e2 | all_6_17 = e1 | all_6_17 = e0 % 81.81/12.22 (30) all_10_8 = all_4_10 % 81.81/12.22 (31) ~ (all_4_22 = all_4_23) % 81.81/12.22 (32) ~ (all_4_5 = all_4_15) % 81.81/12.22 (33) all_8_8 = e4 % 81.81/12.22 (34) all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4 % 81.81/12.22 (35) ~ (all_4_10 = e4) % 81.81/12.22 (36) ~ (all_10_33 = e0) | (all_10_61 = e2 & ~ (unit = e0)) % 81.81/12.22 (37) ~ (all_4_9 = all_4_24) % 81.81/12.22 (38) ~ (all_10_27 = e0) | (all_10_69 = e3 & ~ (unit = e0)) % 81.81/12.22 (39) ~ (all_4_11 = all_4_21) % 81.81/12.22 (40) op(e1, all_4_23) = all_10_66 % 81.81/12.22 (41) all_8_10 = e4 % 81.81/12.22 (42) all_8_21 = all_4_9 % 81.81/12.22 (43) ~ (all_4_8 = all_4_23) % 81.81/12.22 (44) all_10_12 = e4 % 81.81/12.22 (45) all_10_27 = all_4_9 % 81.81/12.22 (46) all_8_11 = all_4_17 % 81.81/12.22 (47) all_8_20 = e0 | all_8_21 = e0 | all_8_22 = e0 | all_8_23 = e0 % 81.81/12.22 (48) op(e0, e0) = all_4_24 % 81.81/12.22 (49) all_8_18 = all_4_22 % 81.81/12.22 (50) ~ (all_4_7 = all_4_22) % 81.81/12.22 (51) all_10_50 = all_4_17 % 81.81/12.22 (52) all_10_69 = all_4_24 % 81.81/12.22 (53) op(e2, e1) = all_4_17 % 81.81/12.22 (54) all_8_1 = all_4_5 % 81.81/12.22 (55) ~ (all_4_15 = all_4_17) % 81.81/12.22 (56) all_8_19 = all_4_23 % 81.81/12.22 (57) op(e2, all_4_10) = all_10_28 % 81.81/12.22 (58) ~ (all_4_11 = all_4_13) % 81.81/12.22 (59) all_10_41 = all_4_14 % 81.81/12.22 (60) ~ (all_4_17 = e4) % 81.81/12.22 (61) all_8_7 = all_4_7 % 81.81/12.22 (62) ~ (all_4_8 = all_4_9) % 81.81/12.22 (63) op(e2, all_4_13) = all_10_36 % 81.81/12.22 (64) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0 % 81.81/12.22 (65) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3 = e0 % 81.81/12.22 (66) ~ (all_4_10 = all_4_15) % 81.81/12.22 (67) all_10_61 = all_4_21 % 81.81/12.22 (68) all_6_14 = all_4_22 % 81.81/12.22 (69) all_8_24 = all_4_24 % 81.81/12.22 (70) ~ (all_4_9 = all_4_19) % 81.81/12.22 (71) all_10_67 = all_4_23 % 81.81/12.22 (72) ~ (all_4_13 = all_4_18) % 81.81/12.22 (73) ~ (all_4_19 = e4) % 81.81/12.22 (74) ~ (all_4_8 = all_4_18) % 81.81/12.22 (75) ~ (all_4_15 = all_4_19) % 81.81/12.22 (76) ~ (all_4_22 = e3) % 81.81/12.22 (77) ~ (all_4_22 = e4) % 81.81/12.22 (78) ~ (all_4_17 = e3) % 81.81/12.22 (79) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0 % 81.81/12.22 (80) all_6_21 = all_4_9 % 81.81/12.22 (81) op(e1, e1) = all_4_18 % 81.81/12.22 (82) all_6_13 = all_4_17 % 81.81/12.22 (83) all_6_19 = e3 | all_6_19 = e2 | all_6_19 = e1 | all_6_19 = e0 % 81.81/12.22 (84) all_6_14 = e3 | all_6_14 = e2 | all_6_14 = e1 | all_6_14 = e0 % 81.81/12.22 (85) op(e1, all_4_19) = all_10_53 % 81.81/12.22 (86) ~ (all_4_17 = all_4_22) % 81.81/12.22 (87) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0 % 81.81/12.22 (88) all_10_55 = all_4_19 % 81.81/12.22 (89) ~ (all_4_23 = e2) % 81.81/12.22 (90) all_8_2 = e3 | all_8_3 = e3 | all_8_5 = e3 | all_8_10 = e3 | all_8_17 = % 81.81/12.22 e3 % 81.81/12.22 (91) all_8_0 = e3 | all_8_1 = e3 | all_8_4 = e3 | all_8_9 = e3 | all_8_16 = % 81.81/12.22 e3 % 81.81/12.22 (92) ~ (all_4_5 = all_4_10) % 81.81/12.22 (93) all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 | all_6_13 = e0 % 81.81/12.22 (94) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 81.81/12.22 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 81.81/12.22 (95) op(e0, all_4_14) = all_10_40 % 81.81/12.22 (96) all_8_17 = all_4_21 % 81.81/12.22 (97) op(e2, all_4_11) = all_10_31 % 81.81/12.22 (98) all_8_12 = e2 % 81.81/12.22 (99) all_8_2 = e1 % 81.81/12.22 (100) all_8_22 = all_4_14 % 81.81/12.22 (101) all_8_0 = e0 % 81.81/12.22 (102) all_8_3 = all_4_6 % 81.81/12.22 (103) all_8_14 = all_4_13 % 81.81/12.22 (104) all_6_3 = all_4_15 % 81.81/12.22 (105) all_8_20 = e4 % 81.81/12.22 (106) all_10_5 = all_4_5 % 81.81/12.22 (107) ~ (all_4_23 = all_4_24) % 81.81/12.22 (108) all_6_2 = all_4_10 % 81.81/12.22 (109) op(e2, all_4_7) = all_10_20 % 81.81/12.22 (110) all_8_6 = e0 | all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | all_8_18 = % 81.81/12.22 e0 % 81.81/12.22 (111) ~ (all_4_7 = e3) % 81.81/12.22 (112) all_8_20 = e1 | all_8_21 = e1 | all_8_22 = e1 | all_8_23 = e1 | % 81.81/12.22 all_8_24 = e1 % 81.81/12.22 (113) ~ (all_4_9 = all_4_14) % 81.81/12.22 (114) all_10_52 = all_4_18 % 81.81/12.22 (115) all_8_5 = all_4_11 % 81.81/12.22 (116) ~ (all_4_5 = e0) % 81.81/12.22 (117) all_8_9 = all_4_15 % 81.81/12.22 (118) ~ (all_4_15 = e0) % 81.81/12.22 (119) all_6_17 = all_4_13 % 81.81/12.22 (120) all_6_1 = all_4_5 % 81.81/12.22 (121) all_8_6 = e3 % 81.81/12.22 (122) ~ (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit = e0)) % 81.81/12.22 (123) ~ (all_4_6 = e4) % 81.81/12.22 (124) (all_10_2 = e3 & ~ (all_10_3 = e4)) | (all_10_5 = e2 & ~ (all_10_6 = % 81.81/12.22 e4)) | (all_10_8 = e1 & ~ (all_10_9 = e4)) | (all_10_11 = e0 & ~ % 81.81/12.22 (all_10_12 = e4)) % 81.81/12.22 (125) all_8_23 = all_4_19 % 81.81/12.22 (126) ~ (all_4_7 = all_4_9) % 81.81/12.22 (127) ~ (all_4_9 = e4) % 81.81/12.22 (128) op(e2, e3) = all_4_7 % 81.81/12.22 (129) (all_10_28 = e4 & ~ (all_10_29 = e2)) | (all_10_31 = e3 & ~ % 81.81/12.22 (all_10_32 = e2)) | (all_10_36 = e1 & ~ (all_10_37 = e2)) | % 81.81/12.22 (all_10_39 = e0 & ~ (all_10_40 = e2)) % 81.81/12.22 (130) all_10_33 = all_4_11 % 81.81/12.22 (131) ~ (all_4_10 = all_4_13) % 81.81/12.22 (132) ~ (all_4_13 = e2) % 81.81/12.22 (133) ~ (e4 = e0) % 81.81/12.22 (134) all_8_12 = e0 | all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 | % 81.81/12.22 all_8_19 = e0 % 81.81/12.22 (135) ~ (all_4_10 = e0) % 81.81/12.22 % 81.81/12.22 Begin of proof % 81.81/12.22 | % 81.81/12.22 | BETA: splitting (34) gives: % 81.81/12.22 | % 81.81/12.22 | Case 1: % 81.81/12.22 | | % 81.81/12.22 | | (136) all_8_3 = e4 % 81.81/12.22 | | % 81.81/12.22 | | REF_CLOSE: (102), (123), (136) are inconsistent by sub-proof #55. % 81.81/12.22 | | % 81.81/12.22 | Case 2: % 81.81/12.22 | | % 81.81/12.22 | | (137) all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4 % 81.81/12.22 | | % 81.81/12.22 | | BETA: splitting (137) gives: % 81.81/12.22 | | % 81.81/12.22 | | Case 1: % 81.81/12.22 | | | % 81.81/12.22 | | | (138) all_8_7 = e4 % 81.81/12.22 | | | % 81.81/12.22 | | | REF_CLOSE: (15), (61), (138) are inconsistent by sub-proof #138. % 81.81/12.22 | | | % 81.81/12.22 | | Case 2: % 81.81/12.22 | | | % 81.81/12.22 | | | (139) all_8_13 = e4 | all_8_21 = e4 % 81.81/12.22 | | | % 81.81/12.22 | | | BETA: splitting (5) gives: % 81.81/12.22 | | | % 81.81/12.22 | | | Case 1: % 81.81/12.22 | | | | % 81.81/12.22 | | | | (140) all_8_13 = e4 % 81.81/12.22 | | | | % 81.81/12.22 | | | | COMBINE_EQS: (21), (140) imply: % 81.81/12.22 | | | | (141) all_4_8 = e4 % 81.81/12.22 | | | | % 81.81/12.22 | | | | SIMP: (141) implies: % 81.81/12.22 | | | | (142) all_4_8 = e4 % 81.81/12.22 | | | | % 81.81/12.22 | | | | REDUCE: (19), (142) imply: % 81.81/12.22 | | | | (143) ~ (all_4_5 = e4) % 81.81/12.22 | | | | % 81.81/12.22 | | | | REDUCE: (62), (142) imply: % 81.81/12.22 | | | | (144) ~ (all_4_9 = e4) % 81.81/12.22 | | | | % 81.81/12.22 | | | | REDUCE: (74), (142) imply: % 81.81/12.22 | | | | (145) ~ (all_4_18 = e4) % 81.81/12.22 | | | | % 81.81/12.22 | | | | SIMP: (145) implies: % 81.81/12.22 | | | | (146) ~ (all_4_18 = e4) % 81.81/12.22 | | | | % 81.81/12.22 | | | | REDUCE: (43), (142) imply: % 81.81/12.22 | | | | (147) ~ (all_4_23 = e4) % 81.81/12.22 | | | | % 81.81/12.22 | | | | SIMP: (147) implies: % 81.81/12.22 | | | | (148) ~ (all_4_23 = e4) % 81.81/12.22 | | | | % 81.81/12.22 | | | | BETA: splitting (124) gives: % 81.81/12.22 | | | | % 81.81/12.22 | | | | Case 1: % 81.81/12.22 | | | | | % 81.81/12.22 | | | | | (149) (all_10_2 = e3 & ~ (all_10_3 = e4)) | (all_10_5 = e2 & ~ % 81.81/12.22 | | | | | (all_10_6 = e4)) % 81.81/12.22 | | | | | % 81.81/12.22 | | | | | BETA: splitting (149) gives: % 81.81/12.22 | | | | | % 81.81/12.22 | | | | | Case 1: % 81.81/12.22 | | | | | | % 81.81/12.22 | | | | | | (150) all_10_2 = e3 & ~ (all_10_3 = e4) % 81.81/12.22 | | | | | | % 81.81/12.22 | | | | | | ALPHA: (150) implies: % 81.81/12.22 | | | | | | (151) ~ (all_10_3 = e4) % 81.81/12.22 | | | | | | % 81.81/12.22 | | | | | | REDUCE: (17), (151) imply: % 81.81/12.22 | | | | | | (152) $false % 81.81/12.22 | | | | | | % 81.81/12.22 | | | | | | CLOSE: (152) is inconsistent. % 81.81/12.22 | | | | | | % 81.81/12.22 | | | | | Case 2: % 81.81/12.22 | | | | | | % 81.81/12.22 | | | | | | (153) all_10_5 = e2 & ~ (all_10_6 = e4) % 81.81/12.22 | | | | | | % 81.81/12.22 | | | | | | ALPHA: (153) implies: % 81.81/12.22 | | | | | | (154) all_10_5 = e2 % 81.81/12.22 | | | | | | % 81.81/12.22 | | | | | | COMBINE_EQS: (106), (154) imply: % 81.81/12.22 | | | | | | (155) all_4_5 = e2 % 81.81/12.22 | | | | | | % 81.81/12.22 | | | | | | REDUCE: (24), (155) imply: % 81.81/12.22 | | | | | | (156) ~ (all_4_7 = e2) % 81.81/12.22 | | | | | | % 81.81/12.22 | | | | | | SIMP: (156) implies: % 81.81/12.22 | | | | | | (157) ~ (all_4_7 = e2) % 81.81/12.22 | | | | | | % 81.81/12.22 | | | | | | REDUCE: (92), (155) imply: % 81.81/12.22 | | | | | | (158) ~ (all_4_10 = e2) % 81.81/12.22 | | | | | | % 81.81/12.22 | | | | | | SIMP: (158) implies: % 81.81/12.22 | | | | | | (159) ~ (all_4_10 = e2) % 81.81/12.22 | | | | | | % 81.81/12.22 | | | | | | BETA: splitting (64) gives: % 81.81/12.22 | | | | | | % 81.81/12.22 | | | | | | Case 1: % 81.81/12.22 | | | | | | | % 81.81/12.22 | | | | | | | (160) all_6_11 = e2 % 81.81/12.22 | | | | | | | % 81.81/12.22 | | | | | | | REF_CLOSE: (14), (157), (160) are inconsistent by sub-proof #150. % 81.81/12.22 | | | | | | | % 81.81/12.22 | | | | | | Case 2: % 81.81/12.22 | | | | | | | % 81.81/12.22 | | | | | | | (161) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0 % 81.81/12.22 | | | | | | | % 81.81/12.22 | | | | | | | BETA: splitting (161) gives: % 81.81/12.22 | | | | | | | % 81.81/12.22 | | | | | | | Case 1: % 81.81/12.22 | | | | | | | | % 81.81/12.22 | | | | | | | | (162) all_6_11 = e3 % 81.81/12.22 | | | | | | | | % 81.81/12.22 | | | | | | | | REF_CLOSE: (14), (111), (162) are inconsistent by sub-proof % 81.81/12.22 | | | | | | | | #149. % 81.81/12.22 | | | | | | | | % 81.81/12.22 | | | | | | | Case 2: % 81.81/12.22 | | | | | | | | % 81.81/12.22 | | | | | | | | (163) all_6_11 = e1 | all_6_11 = e0 % 81.81/12.22 | | | | | | | | % 81.81/12.22 | | | | | | | | BETA: splitting (163) gives: % 81.81/12.22 | | | | | | | | % 81.81/12.22 | | | | | | | | Case 1: % 81.81/12.22 | | | | | | | | | % 81.81/12.22 | | | | | | | | | (164) all_6_11 = e1 % 81.81/12.22 | | | | | | | | | % 81.81/12.22 | | | | | | | | | COMBINE_EQS: (14), (164) imply: % 81.81/12.22 | | | | | | | | | (165) all_4_7 = e1 % 81.81/12.22 | | | | | | | | | % 81.81/12.22 | | | | | | | | | SIMP: (165) implies: % 81.81/12.22 | | | | | | | | | (166) all_4_7 = e1 % 81.81/12.22 | | | | | | | | | % 81.81/12.22 | | | | | | | | | REDUCE: (126), (166) imply: % 81.81/12.22 | | | | | | | | | (167) ~ (all_4_9 = e1) % 81.81/12.22 | | | | | | | | | % 81.81/12.22 | | | | | | | | | SIMP: (167) implies: % 81.81/12.22 | | | | | | | | | (168) ~ (all_4_9 = e1) % 81.81/12.22 | | | | | | | | | % 81.81/12.22 | | | | | | | | | REDUCE: (4), (166) imply: % 81.81/12.22 | | | | | | | | | (169) ~ (all_4_17 = e1) % 81.81/12.22 | | | | | | | | | % 81.81/12.22 | | | | | | | | | SIMP: (169) implies: % 81.81/12.22 | | | | | | | | | (170) ~ (all_4_17 = e1) % 81.81/12.22 | | | | | | | | | % 81.81/12.22 | | | | | | | | | REDUCE: (50), (166) imply: % 81.81/12.22 | | | | | | | | | (171) ~ (all_4_22 = e1) % 81.81/12.22 | | | | | | | | | % 81.81/12.22 | | | | | | | | | SIMP: (171) implies: % 81.81/12.22 | | | | | | | | | (172) ~ (all_4_22 = e1) % 81.81/12.22 | | | | | | | | | % 81.81/12.22 | | | | | | | | | BETA: splitting (16) gives: % 81.81/12.22 | | | | | | | | | % 81.81/12.22 | | | | | | | | | Case 1: % 81.81/12.22 | | | | | | | | | | % 81.81/12.22 | | | | | | | | | | (173) ~ (all_10_50 = e0) % 81.81/12.22 | | | | | | | | | | % 81.81/12.22 | | | | | | | | | | REDUCE: (51), (173) imply: % 81.81/12.22 | | | | | | | | | | (174) ~ (all_4_17 = e0) % 81.81/12.22 | | | | | | | | | | % 81.81/12.22 | | | | | | | | | | BETA: splitting (93) gives: % 81.81/12.22 | | | | | | | | | | % 81.81/12.22 | | | | | | | | | | Case 1: % 81.81/12.22 | | | | | | | | | | | % 81.81/12.22 | | | | | | | | | | | (175) all_6_13 = e2 % 81.81/12.22 | | | | | | | | | | | % 81.81/12.22 | | | | | | | | | | | COMBINE_EQS: (82), (175) imply: % 81.81/12.22 | | | | | | | | | | | (176) all_4_17 = e2 % 81.81/12.22 | | | | | | | | | | | % 81.81/12.22 | | | | | | | | | | | SIMP: (176) implies: % 81.81/12.22 | | | | | | | | | | | (177) all_4_17 = e2 % 81.81/12.22 | | | | | | | | | | | % 81.81/12.22 | | | | | | | | | | | REDUCE: (1), (177) imply: % 81.81/12.22 | | | | | | | | | | | (178) ~ (all_4_18 = e2) % 81.81/12.22 | | | | | | | | | | | % 81.81/12.22 | | | | | | | | | | | SIMP: (178) implies: % 81.81/12.22 | | | | | | | | | | | (179) ~ (all_4_18 = e2) % 81.81/12.22 | | | | | | | | | | | % 81.81/12.22 | | | | | | | | | | | REDUCE: (86), (177) imply: % 81.81/12.22 | | | | | | | | | | | (180) ~ (all_4_22 = e2) % 81.81/12.22 | | | | | | | | | | | % 81.81/12.22 | | | | | | | | | | | SIMP: (180) implies: % 81.81/12.22 | | | | | | | | | | | (181) ~ (all_4_22 = e2) % 81.81/12.22 | | | | | | | | | | | % 81.81/12.22 | | | | | | | | | | | BETA: splitting (84) gives: % 81.81/12.22 | | | | | | | | | | | % 81.81/12.22 | | | | | | | | | | | Case 1: % 81.81/12.22 | | | | | | | | | | | | % 81.81/12.22 | | | | | | | | | | | | (182) all_6_14 = e2 % 81.81/12.22 | | | | | | | | | | | | % 81.81/12.22 | | | | | | | | | | | | REF_CLOSE: (68), (181), (182) are inconsistent by sub-proof % 81.81/12.22 | | | | | | | | | | | | #46. % 81.81/12.22 | | | | | | | | | | | | % 81.81/12.22 | | | | | | | | | | | Case 2: % 81.81/12.22 | | | | | | | | | | | | % 81.81/12.22 | | | | | | | | | | | | (183) ~ (all_6_14 = e2) % 81.81/12.23 | | | | | | | | | | | | (184) all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0 % 81.81/12.23 | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | BETA: splitting (184) gives: % 81.81/12.23 | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | (185) all_6_14 = e3 % 81.81/12.23 | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | REF_CLOSE: (68), (76), (185) are inconsistent by sub-proof % 81.81/12.23 | | | | | | | | | | | | | #146. % 81.81/12.23 | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | Case 2: % 81.81/12.23 | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | (186) all_6_14 = e1 | all_6_14 = e0 % 81.81/12.23 | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | BETA: splitting (186) gives: % 81.81/12.23 | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | (187) all_6_14 = e1 % 81.81/12.23 | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | REF_CLOSE: (68), (172), (187) are inconsistent by sub-proof % 81.81/12.23 | | | | | | | | | | | | | | #145. % 81.81/12.23 | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | Case 2: % 81.81/12.23 | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | (188) all_6_14 = e0 % 81.81/12.23 | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | COMBINE_EQS: (68), (188) imply: % 81.81/12.23 | | | | | | | | | | | | | | (189) all_4_22 = e0 % 81.81/12.23 | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | SIMP: (189) implies: % 81.81/12.23 | | | | | | | | | | | | | | (190) all_4_22 = e0 % 81.81/12.23 | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | REDUCE: (31), (190) imply: % 81.81/12.23 | | | | | | | | | | | | | | (191) ~ (all_4_23 = e0) % 81.81/12.23 | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | SIMP: (191) implies: % 81.81/12.23 | | | | | | | | | | | | | | (192) ~ (all_4_23 = e0) % 81.81/12.23 | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | REDUCE: (77), (190) imply: % 81.81/12.23 | | | | | | | | | | | | | | (193) ~ (e4 = e0) % 81.81/12.23 | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | REDUCE: (181), (190) imply: % 81.81/12.23 | | | | | | | | | | | | | | (194) ~ (e2 = e0) % 81.81/12.23 | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | SIMP: (194) implies: % 81.81/12.23 | | | | | | | | | | | | | | (195) ~ (e2 = e0) % 81.81/12.23 | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | BETA: splitting (134) gives: % 81.81/12.23 | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | (196) all_8_12 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | REF_CLOSE: (98), (195), (196) are inconsistent by sub-proof % 81.81/12.23 | | | | | | | | | | | | | | | #97. % 81.81/12.23 | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | Case 2: % 81.81/12.23 | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | (197) all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 | % 81.81/12.23 | | | | | | | | | | | | | | | all_8_19 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | BETA: splitting (197) gives: % 81.81/12.23 | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | (198) all_8_13 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | REF_CLOSE: (133), (140), (198) are inconsistent by sub-proof % 81.81/12.23 | | | | | | | | | | | | | | | | #106. % 81.81/12.23 | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | Case 2: % 81.81/12.23 | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | (199) all_8_14 = e0 | all_8_15 = e0 | all_8_19 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | BETA: splitting (199) gives: % 81.81/12.23 | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | (200) all_8_14 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (103), (200) are inconsistent by sub-proof % 81.81/12.23 | | | | | | | | | | | | | | | | | #91. % 81.81/12.23 | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | Case 2: % 81.81/12.23 | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | (201) all_8_15 = e0 | all_8_19 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | BETA: splitting (201) gives: % 81.81/12.23 | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | (202) all_8_15 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13), (202) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | (203) all_4_18 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | SIMP: (203) implies: % 81.81/12.23 | | | | | | | | | | | | | | | | | | (204) all_4_18 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (114), (204) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | (205) all_10_52 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | BETA: splitting (122) gives: % 81.81/12.23 | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | (206) ~ (all_10_52 = e0) % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | REDUCE: (205), (206) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | (207) $false % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | CLOSE: (207) is inconsistent. % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | (208) all_10_67 = e1 & ~ (unit = e0) % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | ALPHA: (208) implies: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | (209) all_10_67 = e1 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (71), (209) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | (210) all_4_23 = e1 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | SIMP: (210) implies: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | (211) all_4_23 = e1 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (56), (211) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | (212) all_8_19 = e1 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | REDUCE: (7), (211) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | (213) ~ (all_4_13 = e1) % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | REDUCE: (107), (211) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | (214) ~ (all_4_24 = e1) % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | SIMP: (214) implies: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | (215) ~ (all_4_24 = e1) % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | REDUCE: (40), (211) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | (216) op(e1, e1) = all_10_66 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | BETA: splitting (29) gives: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | (217) all_6_17 = e2 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (119), (132), (217) are inconsistent by sub-proof % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | #45. % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | (218) all_6_17 = e3 | all_6_17 = e1 | all_6_17 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | BETA: splitting (218) gives: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | (219) all_6_17 = e3 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (119), (219) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | (220) all_4_13 = e3 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | SIMP: (220) implies: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | (221) all_4_13 = e3 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (103), (221) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | (222) all_8_14 = e3 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (131), (221) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | (223) ~ (all_4_10 = e3) % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (221) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | (224) ~ (e3 = e0) % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (87) gives: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | (225) all_6_2 = e2 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (108), (159), (225) are inconsistent by sub-proof % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | #78. % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | (226) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (226) gives: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | (227) all_6_2 = e3 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (108), (223), (227) are inconsistent by sub-proof % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | #77. % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | (228) all_6_2 = e1 | all_6_2 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (228) gives: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | (229) all_6_2 = e1 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (108), (229) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | (230) all_4_10 = e1 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (230) implies: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | (231) all_4_10 = e1 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (28), (231) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | (232) ~ (all_4_14 = e1) % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (232) implies: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | (233) ~ (all_4_14 = e1) % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (35), (231) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | (234) ~ (e4 = e1) % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (234) implies: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | (235) ~ (e4 = e1) % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (13), (42), (52), (69), (81), (85), % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | (88), (94), (98), (100), (105), (112), (125), % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | (133), (134), (140), (168), (195), (212), (215), % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | (216), (222), (224), (233), (235) are inconsistent % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #13. % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | (236) all_6_2 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (108), (135), (236) are inconsistent by sub-proof % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | #156. % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | (237) all_6_17 = e1 | all_6_17 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (22), (119), (213), (237) are inconsistent by % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | sub-proof #35. % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | End of split % 81.81/12.23 | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.23 | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | (238) all_8_19 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | REF_CLOSE: (56), (192), (238) are inconsistent by sub-proof % 81.81/12.23 | | | | | | | | | | | | | | | | | | #105. % 81.81/12.23 | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | End of split % 81.81/12.23 | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | End of split % 81.81/12.23 | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | End of split % 81.81/12.23 | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | End of split % 81.81/12.23 | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | End of split % 81.81/12.23 | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | End of split % 81.81/12.23 | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | End of split % 81.81/12.23 | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | Case 2: % 81.81/12.23 | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | (239) all_6_13 = e3 | all_6_13 = e1 | all_6_13 = e0 % 81.81/12.23 | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | REF_CLOSE: (78), (82), (170), (174), (239) are inconsistent % 81.81/12.23 | | | | | | | | | | | by sub-proof #110. % 81.81/12.23 | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | End of split % 81.81/12.23 | | | | | | | | | | % 81.81/12.23 | | | | | | | | | Case 2: % 81.81/12.23 | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | (240) all_10_64 = e1 & ~ (unit = e0) % 81.81/12.23 | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | REF_CLOSE: (27), (172), (240) are inconsistent by sub-proof % 81.81/12.23 | | | | | | | | | | #66. % 81.81/12.23 | | | | | | | | | | % 81.81/12.23 | | | | | | | | | End of split % 81.81/12.23 | | | | | | | | | % 81.81/12.23 | | | | | | | | Case 2: % 81.81/12.23 | | | | | | | | | % 81.81/12.23 | | | | | | | | | (241) all_6_11 = e0 % 81.81/12.23 | | | | | | | | | % 81.81/12.23 | | | | | | | | | REF_CLOSE: (3), (14), (241) are inconsistent by sub-proof % 81.81/12.23 | | | | | | | | | #143. % 81.81/12.23 | | | | | | | | | % 81.81/12.23 | | | | | | | | End of split % 81.81/12.23 | | | | | | | | % 81.81/12.23 | | | | | | | End of split % 81.81/12.23 | | | | | | | % 81.81/12.23 | | | | | | End of split % 81.81/12.23 | | | | | | % 81.81/12.23 | | | | | End of split % 81.81/12.23 | | | | | % 81.81/12.23 | | | | Case 2: % 81.81/12.23 | | | | | % 81.81/12.23 | | | | | (242) (all_10_8 = e1 & ~ (all_10_9 = e4)) | (all_10_11 = e0 & ~ % 81.81/12.23 | | | | | (all_10_12 = e4)) % 81.81/12.23 | | | | | % 81.81/12.23 | | | | | BETA: splitting (242) gives: % 81.81/12.23 | | | | | % 81.81/12.23 | | | | | Case 1: % 81.81/12.23 | | | | | | % 81.81/12.23 | | | | | | (243) all_10_8 = e1 & ~ (all_10_9 = e4) % 81.81/12.23 | | | | | | % 81.81/12.23 | | | | | | ALPHA: (243) implies: % 81.81/12.23 | | | | | | (244) all_10_8 = e1 % 81.81/12.23 | | | | | | % 81.81/12.23 | | | | | | COMBINE_EQS: (30), (244) imply: % 81.81/12.23 | | | | | | (245) all_4_10 = e1 % 81.81/12.23 | | | | | | % 81.81/12.23 | | | | | | REDUCE: (92), (245) imply: % 81.81/12.23 | | | | | | (246) ~ (all_4_5 = e1) % 81.81/12.23 | | | | | | % 81.81/12.23 | | | | | | REDUCE: (12), (245) imply: % 81.81/12.23 | | | | | | (247) ~ (all_4_11 = e1) % 81.81/12.23 | | | | | | % 81.81/12.23 | | | | | | SIMP: (247) implies: % 81.81/12.23 | | | | | | (248) ~ (all_4_11 = e1) % 81.81/12.23 | | | | | | % 81.81/12.23 | | | | | | REDUCE: (131), (245) imply: % 81.81/12.23 | | | | | | (249) ~ (all_4_13 = e1) % 81.81/12.23 | | | | | | % 81.81/12.23 | | | | | | SIMP: (249) implies: % 81.81/12.23 | | | | | | (250) ~ (all_4_13 = e1) % 81.81/12.23 | | | | | | % 81.81/12.23 | | | | | | REDUCE: (28), (245) imply: % 81.81/12.23 | | | | | | (251) ~ (all_4_14 = e1) % 81.81/12.23 | | | | | | % 81.81/12.23 | | | | | | SIMP: (251) implies: % 81.81/12.23 | | | | | | (252) ~ (all_4_14 = e1) % 81.81/12.23 | | | | | | % 81.81/12.23 | | | | | | REDUCE: (66), (245) imply: % 81.81/12.23 | | | | | | (253) ~ (all_4_15 = e1) % 81.81/12.23 | | | | | | % 81.81/12.23 | | | | | | SIMP: (253) implies: % 81.81/12.23 | | | | | | (254) ~ (all_4_15 = e1) % 81.81/12.23 | | | | | | % 81.81/12.23 | | | | | | REDUCE: (35), (245) imply: % 81.81/12.23 | | | | | | (255) ~ (e4 = e1) % 81.81/12.23 | | | | | | % 81.81/12.23 | | | | | | SIMP: (255) implies: % 81.81/12.23 | | | | | | (256) ~ (e4 = e1) % 81.81/12.23 | | | | | | % 81.81/12.23 | | | | | | REDUCE: (57), (245) imply: % 81.81/12.23 | | | | | | (257) op(e2, e1) = all_10_28 % 81.81/12.23 | | | | | | % 81.81/12.23 | | | | | | BETA: splitting (29) gives: % 81.81/12.23 | | | | | | % 81.81/12.23 | | | | | | Case 1: % 81.81/12.23 | | | | | | | % 81.81/12.23 | | | | | | | (258) all_6_17 = e2 % 81.81/12.23 | | | | | | | % 81.81/12.23 | | | | | | | REF_CLOSE: (119), (132), (258) are inconsistent by sub-proof #45. % 81.81/12.23 | | | | | | | % 81.81/12.23 | | | | | | Case 2: % 81.81/12.23 | | | | | | | % 81.81/12.23 | | | | | | | (259) all_6_17 = e3 | all_6_17 = e1 | all_6_17 = e0 % 81.81/12.23 | | | | | | | % 81.81/12.23 | | | | | | | BETA: splitting (259) gives: % 81.81/12.23 | | | | | | | % 81.81/12.23 | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | % 81.81/12.23 | | | | | | | | (260) all_6_17 = e3 % 81.81/12.23 | | | | | | | | % 81.81/12.23 | | | | | | | | COMBINE_EQS: (119), (260) imply: % 81.81/12.23 | | | | | | | | (261) all_4_13 = e3 % 81.81/12.23 | | | | | | | | % 81.81/12.23 | | | | | | | | SIMP: (261) implies: % 81.81/12.23 | | | | | | | | (262) all_4_13 = e3 % 81.81/12.23 | | | | | | | | % 81.81/12.23 | | | | | | | | COMBINE_EQS: (103), (262) imply: % 81.81/12.23 | | | | | | | | (263) all_8_14 = e3 % 81.81/12.23 | | | | | | | | % 81.81/12.23 | | | | | | | | REDUCE: (58), (262) imply: % 81.81/12.23 | | | | | | | | (264) ~ (all_4_11 = e3) % 81.81/12.23 | | | | | | | | % 81.81/12.23 | | | | | | | | REDUCE: (72), (262) imply: % 81.81/12.23 | | | | | | | | (265) ~ (all_4_18 = e3) % 81.81/12.23 | | | | | | | | % 81.81/12.23 | | | | | | | | SIMP: (265) implies: % 81.81/12.23 | | | | | | | | (266) ~ (all_4_18 = e3) % 81.81/12.23 | | | | | | | | % 81.81/12.23 | | | | | | | | REDUCE: (7), (262) imply: % 81.81/12.23 | | | | | | | | (267) ~ (all_4_23 = e3) % 81.81/12.23 | | | | | | | | % 81.81/12.23 | | | | | | | | SIMP: (267) implies: % 81.81/12.23 | | | | | | | | (268) ~ (all_4_23 = e3) % 81.81/12.23 | | | | | | | | % 81.81/12.23 | | | | | | | | REDUCE: (22), (262) imply: % 81.81/12.23 | | | | | | | | (269) ~ (e3 = e0) % 81.81/12.23 | | | | | | | | % 81.81/12.23 | | | | | | | | REDUCE: (63), (262) imply: % 81.81/12.23 | | | | | | | | (270) op(e2, e3) = all_10_36 % 81.81/12.23 | | | | | | | | % 81.81/12.23 | | | | | | | | GROUND_INST: instantiating (94) with all_4_17, all_10_28, e1, % 81.81/12.23 | | | | | | | | e2, simplifying with (53), (257) gives: % 81.81/12.23 | | | | | | | | (271) all_10_28 = all_4_17 % 81.81/12.23 | | | | | | | | % 81.81/12.23 | | | | | | | | GROUND_INST: instantiating (94) with all_4_7, all_10_36, e3, e2, % 81.81/12.23 | | | | | | | | simplifying with (128), (270) gives: % 81.81/12.23 | | | | | | | | (272) all_10_36 = all_4_7 % 81.81/12.23 | | | | | | | | % 81.81/12.23 | | | | | | | | BETA: splitting (18) gives: % 81.81/12.23 | | | | | | | | % 81.81/12.23 | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | % 81.81/12.23 | | | | | | | | | (273) all_8_9 = e3 % 81.81/12.23 | | | | | | | | | % 81.81/12.23 | | | | | | | | | COMBINE_EQS: (117), (273) imply: % 81.81/12.23 | | | | | | | | | (274) all_4_15 = e3 % 81.81/12.23 | | | | | | | | | % 81.81/12.23 | | | | | | | | | REDUCE: (32), (274) imply: % 81.81/12.23 | | | | | | | | | (275) ~ (all_4_5 = e3) % 81.81/12.23 | | | | | | | | | % 81.81/12.23 | | | | | | | | | REDUCE: (55), (274) imply: % 81.81/12.23 | | | | | | | | | (276) ~ (all_4_17 = e3) % 81.81/12.23 | | | | | | | | | % 81.81/12.23 | | | | | | | | | BETA: splitting (79) gives: % 81.81/12.23 | | | | | | | | | % 81.81/12.23 | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | (277) all_6_1 = e2 % 81.81/12.23 | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | COMBINE_EQS: (120), (277) imply: % 81.81/12.23 | | | | | | | | | | (278) all_4_5 = e2 % 81.81/12.23 | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | SIMP: (278) implies: % 81.81/12.23 | | | | | | | | | | (279) all_4_5 = e2 % 81.81/12.23 | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | REDUCE: (24), (279) imply: % 81.81/12.23 | | | | | | | | | | (280) ~ (all_4_7 = e2) % 81.81/12.23 | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | SIMP: (280) implies: % 81.81/12.23 | | | | | | | | | | (281) ~ (all_4_7 = e2) % 81.81/12.23 | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | BETA: splitting (64) gives: % 81.81/12.23 | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | (282) all_6_11 = e2 % 81.81/12.23 | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | COMBINE_EQS: (14), (282) imply: % 81.81/12.23 | | | | | | | | | | | (283) all_4_7 = e2 % 81.81/12.23 | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | REDUCE: (281), (283) imply: % 81.81/12.23 | | | | | | | | | | | (284) $false % 81.81/12.23 | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | CLOSE: (284) is inconsistent. % 81.81/12.23 | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | Case 2: % 81.81/12.23 | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | (285) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0 % 81.81/12.23 | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | BETA: splitting (285) gives: % 81.81/12.23 | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | (286) all_6_11 = e3 % 81.81/12.23 | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | COMBINE_EQS: (14), (286) imply: % 81.81/12.23 | | | | | | | | | | | | (287) all_4_7 = e3 % 81.81/12.23 | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | REDUCE: (111), (287) imply: % 81.81/12.23 | | | | | | | | | | | | (288) $false % 81.81/12.23 | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | CLOSE: (288) is inconsistent. % 81.81/12.23 | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | Case 2: % 81.81/12.23 | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | (289) all_6_11 = e1 | all_6_11 = e0 % 81.81/12.23 | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | BETA: splitting (289) gives: % 81.81/12.23 | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | (290) all_6_11 = e1 % 81.81/12.23 | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | COMBINE_EQS: (14), (290) imply: % 81.81/12.23 | | | | | | | | | | | | | (291) all_4_7 = e1 % 81.81/12.23 | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | COMBINE_EQS: (61), (291) imply: % 81.81/12.23 | | | | | | | | | | | | | (292) all_8_7 = e1 % 81.81/12.23 | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | REDUCE: (126), (291) imply: % 81.81/12.23 | | | | | | | | | | | | | (293) ~ (all_4_9 = e1) % 81.81/12.23 | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | SIMP: (293) implies: % 81.81/12.23 | | | | | | | | | | | | | (294) ~ (all_4_9 = e1) % 81.81/12.23 | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | REDUCE: (4), (291) imply: % 81.81/12.23 | | | | | | | | | | | | | (295) ~ (all_4_17 = e1) % 81.81/12.23 | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | SIMP: (295) implies: % 81.81/12.23 | | | | | | | | | | | | | (296) ~ (all_4_17 = e1) % 81.81/12.23 | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | REDUCE: (50), (291) imply: % 81.81/12.23 | | | | | | | | | | | | | (297) ~ (all_4_22 = e1) % 81.81/12.23 | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | SIMP: (297) implies: % 81.81/12.23 | | | | | | | | | | | | | (298) ~ (all_4_22 = e1) % 81.81/12.23 | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | REDUCE: (3), (291) imply: % 81.81/12.23 | | | | | | | | | | | | | (299) ~ (e1 = e0) % 81.81/12.23 | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | BETA: splitting (16) gives: % 81.81/12.23 | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | (300) ~ (all_10_50 = e0) % 81.81/12.23 | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | REDUCE: (51), (300) imply: % 81.81/12.23 | | | | | | | | | | | | | | (301) ~ (all_4_17 = e0) % 81.81/12.23 | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | BETA: splitting (110) gives: % 81.81/12.23 | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | (302) all_8_6 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | COMBINE_EQS: (121), (302) imply: % 81.81/12.23 | | | | | | | | | | | | | | | (303) e3 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | REDUCE: (269), (303) imply: % 81.81/12.23 | | | | | | | | | | | | | | | (304) $false % 81.81/12.23 | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | CLOSE: (304) is inconsistent. % 81.81/12.23 | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | Case 2: % 81.81/12.23 | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | (305) all_8_7 = e0 | all_8_8 = e0 | all_8_11 = e0 | % 81.81/12.23 | | | | | | | | | | | | | | | all_8_18 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | BETA: splitting (305) gives: % 81.81/12.23 | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | (306) all_8_7 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | COMBINE_EQS: (292), (306) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | (307) e1 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | REDUCE: (299), (307) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | (308) $false % 81.81/12.23 | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | CLOSE: (308) is inconsistent. % 81.81/12.23 | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | Case 2: % 81.81/12.23 | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | (309) all_8_8 = e0 | all_8_11 = e0 | all_8_18 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | BETA: splitting (309) gives: % 81.81/12.23 | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | (310) all_8_8 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (310) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | (311) e4 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | REDUCE: (133), (311) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | (312) $false % 81.81/12.23 | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | CLOSE: (312) is inconsistent. % 81.81/12.23 | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | Case 2: % 81.81/12.23 | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | (313) all_8_11 = e0 | all_8_18 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | BETA: splitting (93) gives: % 81.81/12.23 | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | (314) all_6_13 = e2 % 81.81/12.23 | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (82), (314) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | (315) all_4_17 = e2 % 81.81/12.23 | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | SIMP: (315) implies: % 81.81/12.23 | | | | | | | | | | | | | | | | | | (316) all_4_17 = e2 % 81.81/12.23 | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (46), (316) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | (317) all_8_11 = e2 % 81.81/12.23 | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | REDUCE: (86), (316) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | (318) ~ (all_4_22 = e2) % 81.81/12.23 | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | SIMP: (318) implies: % 81.81/12.23 | | | | | | | | | | | | | | | | | | (319) ~ (all_4_22 = e2) % 81.81/12.23 | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | REDUCE: (301), (316) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | (320) ~ (e2 = e0) % 81.81/12.23 | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives: % 81.81/12.23 | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | (321) all_8_11 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (317), (321) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | (322) e2 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | REDUCE: (320), (322) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | (323) $false % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | CLOSE: (323) is inconsistent. % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | (324) all_8_18 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (49), (324) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | (325) all_4_22 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | SIMP: (325) implies: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | (326) all_4_22 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | REDUCE: (31), (326) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | (327) ~ (all_4_23 = e0) % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | SIMP: (327) implies: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | (328) ~ (all_4_23 = e0) % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | REDUCE: (77), (326) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | (329) ~ (e4 = e0) % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | REDUCE: (76), (326) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | (330) ~ (e3 = e0) % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | REDUCE: (319), (326) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | (331) ~ (e2 = e0) % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | BETA: splitting (83) gives: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | (332) all_6_19 = e2 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (89), (332) are inconsistent by sub-proof % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | #114. % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | (333) all_6_19 = e3 | all_6_19 = e1 | all_6_19 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | (334) all_6_19 = e3 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (268), (334) are inconsistent by sub-proof % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | #113. % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | (335) all_6_19 = e1 | all_6_19 = e0 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | Case 1: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | (336) all_6_19 = e1 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (23), (336) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | (337) all_4_23 = e1 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | SIMP: (337) implies: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | (338) all_4_23 = e1 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (56), (338) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | (339) all_8_19 = e1 % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (107), (338) imply: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | (340) ~ (all_4_24 = e1) % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | SIMP: (340) implies: % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | (341) ~ (all_4_24 = e1) % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.23 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (40), (338) imply: % 81.81/12.24 | | | | | | | | | | | | | | | | | | | | | | (342) op(e1, e1) = all_10_66 % 81.81/12.24 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (9), (13), (42), (52), (69), (81), (85), % 81.81/12.24 | | | | | | | | | | | | | | | | | | | | | | (88), (94), (98), (100), (105), (112), (125), % 81.81/12.24 | | | | | | | | | | | | | | | | | | | | | | (133), (134), (140), (252), (256), (263), (269), % 81.81/12.24 | | | | | | | | | | | | | | | | | | | | | | (294), (320), (339), (341), (342) are inconsistent % 81.81/12.24 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #13. % 81.81/12.24 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.24 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | | | | | | | | | | | (343) all_6_19 = e0 % 81.81/12.24 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (23), (328), (343) are inconsistent by sub-proof % 81.81/12.24 | | | | | | | | | | | | | | | | | | | | | | #109. % 81.81/12.24 | | | | | | | | | | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.24 | | | | | | | | | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.24 | | | | | | | | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | | | | | | | | End of split % 81.81/12.24 | | | | | | | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | | | | | | | End of split % 81.81/12.24 | | | | | | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | | | | | | Case 2: % 81.81/12.24 | | | | | | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | | | | | | | (344) all_6_13 = e3 | all_6_13 = e1 | all_6_13 = e0 % 81.81/12.24 | | | | | | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | | | | | | | REF_CLOSE: (78), (82), (296), (301), (344) are inconsistent % 81.81/12.24 | | | | | | | | | | | | | | | | | | by sub-proof #110. % 81.81/12.24 | | | | | | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | | | | | | End of split % 81.81/12.24 | | | | | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | | | | | End of split % 81.81/12.24 | | | | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | | | | End of split % 81.81/12.24 | | | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | | | End of split % 81.81/12.24 | | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | | Case 2: % 81.81/12.24 | | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | | | (345) all_10_64 = e1 & ~ (unit = e0) % 81.81/12.24 | | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | | | REF_CLOSE: (27), (298), (345) are inconsistent by sub-proof % 81.81/12.24 | | | | | | | | | | | | | | #66. % 81.81/12.24 | | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | | End of split % 81.81/12.24 | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | Case 2: % 81.81/12.24 | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | | (346) all_6_11 = e0 % 81.81/12.24 | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | | COMBINE_EQS: (14), (346) imply: % 81.81/12.24 | | | | | | | | | | | | | (347) all_4_7 = e0 % 81.81/12.24 | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | | REDUCE: (3), (347) imply: % 81.81/12.24 | | | | | | | | | | | | | (348) $false % 81.81/12.24 | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | | CLOSE: (348) is inconsistent. % 81.81/12.24 | | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | | End of split % 81.81/12.24 | | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | | End of split % 81.81/12.24 | | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | End of split % 81.81/12.24 | | | | | | | | | | % 81.81/12.24 | | | | | | | | | Case 2: % 81.81/12.24 | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | (349) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0 % 81.81/12.24 | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | REF_CLOSE: (116), (120), (246), (275), (349) are inconsistent % 81.81/12.24 | | | | | | | | | | by sub-proof #34. % 81.81/12.24 | | | | | | | | | | % 81.81/12.24 | | | | | | | | | End of split % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | Case 2: % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | | (350) ~ (all_8_9 = e3) % 81.81/12.24 | | | | | | | | | (351) all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 | % 81.81/12.24 | | | | | | | | | all_8_23 = e3 % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | | REDUCE: (117), (350) imply: % 81.81/12.24 | | | | | | | | | (352) ~ (all_4_15 = e3) % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | | REF_CLOSE: (2), (3), (8), (10), (11), (13), (14), (20), (24), % 81.81/12.24 | | | | | | | | | (25), (26), (32), (36), (37), (38), (39), (41), % 81.81/12.24 | | | | | | | | | (42), (45), (46), (47), (48), (52), (54), (59), % 81.81/12.24 | | | | | | | | | (60), (64), (65), (67), (70), (73), (75), (78), % 81.81/12.24 | | | | | | | | | (79), (80), (90), (91), (94), (95), (96), (97), % 81.81/12.24 | | | | | | | | | (99), (100), (101), (102), (104), (105), (109), % 81.81/12.24 | | | | | | | | | (112), (113), (115), (116), (118), (120), (125), % 81.81/12.24 | | | | | | | | | (126), (127), (129), (130), (133), (143), (246), % 81.81/12.24 | | | | | | | | | (248), (254), (256), (264), (266), (269), (271), % 81.81/12.24 | | | | | | | | | (272), (351), (352) are inconsistent by sub-proof % 81.81/12.24 | | | | | | | | | #31. % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | End of split % 81.81/12.24 | | | | | | | | % 81.81/12.24 | | | | | | | Case 2: % 81.81/12.24 | | | | | | | | % 81.81/12.24 | | | | | | | | (353) all_6_17 = e1 | all_6_17 = e0 % 81.81/12.24 | | | | | | | | % 81.81/12.24 | | | | | | | | BETA: splitting (353) gives: % 81.81/12.24 | | | | | | | | % 81.81/12.24 | | | | | | | | Case 1: % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | | (354) all_6_17 = e1 % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | | REF_CLOSE: (119), (250), (354) are inconsistent by sub-proof % 81.81/12.24 | | | | | | | | | #93. % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | Case 2: % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | | (355) all_6_17 = e0 % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | | REF_CLOSE: (22), (119), (355) are inconsistent by sub-proof % 81.81/12.24 | | | | | | | | | #92. % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | End of split % 81.81/12.24 | | | | | | | | % 81.81/12.24 | | | | | | | End of split % 81.81/12.24 | | | | | | | % 81.81/12.24 | | | | | | End of split % 81.81/12.24 | | | | | | % 81.81/12.24 | | | | | Case 2: % 81.81/12.24 | | | | | | % 81.81/12.24 | | | | | | (356) all_10_11 = e0 & ~ (all_10_12 = e4) % 81.81/12.24 | | | | | | % 81.81/12.24 | | | | | | ALPHA: (356) implies: % 81.81/12.24 | | | | | | (357) ~ (all_10_12 = e4) % 81.81/12.24 | | | | | | % 81.81/12.24 | | | | | | REDUCE: (44), (357) imply: % 81.81/12.24 | | | | | | (358) $false % 81.81/12.24 | | | | | | % 81.81/12.24 | | | | | | CLOSE: (358) is inconsistent. % 81.81/12.24 | | | | | | % 81.81/12.24 | | | | | End of split % 81.81/12.24 | | | | | % 81.81/12.24 | | | | End of split % 81.81/12.24 | | | | % 81.81/12.24 | | | Case 2: % 81.81/12.24 | | | | % 81.81/12.24 | | | | (359) ~ (all_8_13 = e4) % 81.81/12.24 | | | | % 81.81/12.24 | | | | REF_CLOSE: (21), (42), (127), (139), (359) are inconsistent by sub-proof % 81.81/12.24 | | | | #47. % 81.81/12.24 | | | | % 81.81/12.24 | | | End of split % 81.81/12.24 | | | % 81.81/12.24 | | End of split % 81.81/12.24 | | % 81.81/12.24 | End of split % 81.81/12.24 | % 81.81/12.24 End of proof % 81.81/12.24 % 81.81/12.24 Sub-proof #13 shows that the following formulas are inconsistent: % 81.81/12.24 ---------------------------------------------------------------- % 81.81/12.24 (1) ~ (all_10_66 = e0) % 81.81/12.24 (2) ~ (all_10_55 = e0) | (all_10_69 = e1 & ~ (unit = e0)) % 81.81/12.24 (3) all_8_15 = all_4_18 % 81.81/12.24 (4) ~ (all_4_9 = e1) % 81.81/12.24 (5) ~ (all_4_14 = e1) % 81.81/12.24 (6) all_8_21 = all_4_9 % 81.81/12.24 (7) all_10_69 = all_4_24 % 81.81/12.24 (8) all_8_14 = e3 % 81.81/12.24 (9) all_8_24 = all_4_24 % 81.81/12.24 (10) all_8_13 = e4 % 81.81/12.24 (11) ~ (e2 = e0) % 81.81/12.24 (12) op(e1, e1) = all_10_66 % 81.81/12.24 (13) op(e1, e1) = all_4_18 % 81.81/12.24 (14) op(e1, all_4_19) = all_10_53 % 81.81/12.24 (15) all_10_55 = all_4_19 % 81.81/12.24 (16) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 81.81/12.24 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 81.81/12.24 (17) ~ (all_4_24 = e1) % 81.81/12.24 (18) all_8_12 = e2 % 81.81/12.24 (19) all_8_22 = all_4_14 % 81.81/12.24 (20) all_8_20 = e4 % 81.81/12.24 (21) ~ (e3 = e0) % 81.81/12.24 (22) ~ (e4 = e1) % 81.81/12.24 (23) all_8_20 = e1 | all_8_21 = e1 | all_8_22 = e1 | all_8_23 = e1 | all_8_24 % 81.81/12.24 = e1 % 81.81/12.24 (24) all_8_23 = all_4_19 % 81.81/12.24 (25) all_8_19 = e1 % 81.81/12.24 (26) ~ (e4 = e0) % 81.81/12.24 (27) all_8_12 = e0 | all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 | all_8_19 % 81.81/12.24 = e0 % 81.81/12.24 % 81.81/12.24 Begin of proof % 81.81/12.24 | % 81.81/12.24 | BETA: splitting (23) gives: % 81.81/12.24 | % 81.81/12.24 | Case 1: % 81.81/12.24 | | % 81.81/12.24 | | (28) all_8_20 = e1 % 81.81/12.24 | | % 81.81/12.24 | | REF_CLOSE: (20), (22), (28) are inconsistent by sub-proof #33. % 81.81/12.24 | | % 81.81/12.24 | Case 2: % 81.81/12.24 | | % 81.81/12.24 | | (29) all_8_21 = e1 | all_8_22 = e1 | all_8_23 = e1 | all_8_24 = e1 % 81.81/12.24 | | % 81.81/12.24 | | BETA: splitting (29) gives: % 81.81/12.24 | | % 81.81/12.24 | | Case 1: % 81.81/12.24 | | | % 81.81/12.24 | | | (30) all_8_21 = e1 % 81.81/12.24 | | | % 81.81/12.24 | | | COMBINE_EQS: (6), (30) imply: % 81.81/12.24 | | | (31) all_4_9 = e1 % 81.81/12.24 | | | % 81.81/12.24 | | | SIMP: (31) implies: % 81.81/12.24 | | | (32) all_4_9 = e1 % 81.81/12.24 | | | % 81.81/12.24 | | | REDUCE: (4), (32) imply: % 81.81/12.24 | | | (33) $false % 81.81/12.24 | | | % 81.81/12.24 | | | CLOSE: (33) is inconsistent. % 81.81/12.24 | | | % 81.81/12.24 | | Case 2: % 81.81/12.24 | | | % 81.81/12.24 | | | (34) all_8_22 = e1 | all_8_23 = e1 | all_8_24 = e1 % 81.81/12.24 | | | % 81.81/12.24 | | | BETA: splitting (27) gives: % 81.81/12.24 | | | % 81.81/12.24 | | | Case 1: % 81.81/12.24 | | | | % 81.81/12.24 | | | | (35) all_8_12 = e0 % 81.81/12.24 | | | | % 81.81/12.24 | | | | COMBINE_EQS: (18), (35) imply: % 81.81/12.24 | | | | (36) e2 = e0 % 81.81/12.24 | | | | % 81.81/12.24 | | | | REDUCE: (11), (36) imply: % 81.81/12.24 | | | | (37) $false % 81.81/12.24 | | | | % 81.81/12.24 | | | | CLOSE: (37) is inconsistent. % 81.81/12.24 | | | | % 81.81/12.24 | | | Case 2: % 81.81/12.24 | | | | % 81.81/12.24 | | | | (38) all_8_13 = e0 | all_8_14 = e0 | all_8_15 = e0 | all_8_19 = e0 % 81.81/12.24 | | | | % 81.81/12.24 | | | | BETA: splitting (38) gives: % 81.81/12.24 | | | | % 81.81/12.24 | | | | Case 1: % 81.81/12.24 | | | | | % 81.81/12.24 | | | | | (39) all_8_13 = e0 % 81.81/12.24 | | | | | % 81.81/12.24 | | | | | REF_CLOSE: (10), (26), (39) are inconsistent by sub-proof #106. % 81.81/12.24 | | | | | % 81.81/12.24 | | | | Case 2: % 81.81/12.24 | | | | | % 81.81/12.24 | | | | | (40) all_8_14 = e0 | all_8_15 = e0 | all_8_19 = e0 % 81.81/12.24 | | | | | % 81.81/12.24 | | | | | BETA: splitting (40) gives: % 81.81/12.24 | | | | | % 81.81/12.24 | | | | | Case 1: % 81.81/12.24 | | | | | | % 81.81/12.24 | | | | | | (41) all_8_14 = e0 % 81.81/12.24 | | | | | | % 81.81/12.24 | | | | | | COMBINE_EQS: (8), (41) imply: % 81.81/12.24 | | | | | | (42) e3 = e0 % 81.81/12.24 | | | | | | % 81.81/12.24 | | | | | | SIMP: (42) implies: % 81.81/12.24 | | | | | | (43) e3 = e0 % 81.81/12.24 | | | | | | % 81.81/12.24 | | | | | | REDUCE: (21), (43) imply: % 81.81/12.24 | | | | | | (44) $false % 81.81/12.24 | | | | | | % 81.81/12.24 | | | | | | CLOSE: (44) is inconsistent. % 81.81/12.24 | | | | | | % 81.81/12.24 | | | | | Case 2: % 81.81/12.24 | | | | | | % 81.81/12.24 | | | | | | (45) all_8_15 = e0 | all_8_19 = e0 % 81.81/12.24 | | | | | | % 81.81/12.24 | | | | | | BETA: splitting (2) gives: % 81.81/12.24 | | | | | | % 81.81/12.24 | | | | | | Case 1: % 81.81/12.24 | | | | | | | % 81.81/12.24 | | | | | | | (46) ~ (all_10_55 = e0) % 81.81/12.24 | | | | | | | % 81.81/12.24 | | | | | | | REDUCE: (15), (46) imply: % 81.81/12.24 | | | | | | | (47) ~ (all_4_19 = e0) % 81.81/12.24 | | | | | | | % 81.81/12.24 | | | | | | | BETA: splitting (34) gives: % 81.81/12.24 | | | | | | | % 81.81/12.24 | | | | | | | Case 1: % 81.81/12.24 | | | | | | | | % 81.81/12.24 | | | | | | | | (48) all_8_22 = e1 % 81.81/12.24 | | | | | | | | % 81.81/12.24 | | | | | | | | REF_CLOSE: (5), (19), (48) are inconsistent by sub-proof #154. % 81.81/12.24 | | | | | | | | % 81.81/12.24 | | | | | | | Case 2: % 81.81/12.24 | | | | | | | | % 81.81/12.24 | | | | | | | | (49) all_8_23 = e1 | all_8_24 = e1 % 81.81/12.24 | | | | | | | | % 81.81/12.24 | | | | | | | | BETA: splitting (49) gives: % 81.81/12.24 | | | | | | | | % 81.81/12.24 | | | | | | | | Case 1: % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | | (50) all_8_23 = e1 % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | | COMBINE_EQS: (24), (50) imply: % 81.81/12.24 | | | | | | | | | (51) all_4_19 = e1 % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | | SIMP: (51) implies: % 81.81/12.24 | | | | | | | | | (52) all_4_19 = e1 % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | | REDUCE: (47), (52) imply: % 81.81/12.24 | | | | | | | | | (53) ~ (e1 = e0) % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | | REDUCE: (14), (52) imply: % 81.81/12.24 | | | | | | | | | (54) op(e1, e1) = all_10_53 % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | | BETA: splitting (45) gives: % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | | Case 1: % 81.81/12.24 | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | (55) all_8_15 = e0 % 81.81/12.24 | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | COMBINE_EQS: (3), (55) imply: % 81.81/12.24 | | | | | | | | | | (56) all_4_18 = e0 % 81.81/12.24 | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | SIMP: (56) implies: % 81.81/12.24 | | | | | | | | | | (57) all_4_18 = e0 % 81.81/12.24 | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | REDUCE: (13), (57) imply: % 81.81/12.24 | | | | | | | | | | (58) op(e1, e1) = e0 % 81.81/12.24 | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | GROUND_INST: instantiating (16) with all_10_66, all_10_53, e1, % 81.81/12.24 | | | | | | | | | | e1, simplifying with (12), (54) gives: % 81.81/12.24 | | | | | | | | | | (59) all_10_53 = all_10_66 % 81.81/12.24 | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | GROUND_INST: instantiating (16) with e0, all_10_53, e1, e1, % 81.81/12.24 | | | | | | | | | | simplifying with (54), (58) gives: % 81.81/12.24 | | | | | | | | | | (60) all_10_53 = e0 % 81.81/12.24 | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | COMBINE_EQS: (59), (60) imply: % 81.81/12.24 | | | | | | | | | | (61) all_10_66 = e0 % 81.81/12.24 | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | SIMP: (61) implies: % 81.81/12.24 | | | | | | | | | | (62) all_10_66 = e0 % 81.81/12.24 | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | REDUCE: (1), (62) imply: % 81.81/12.24 | | | | | | | | | | (63) $false % 81.81/12.24 | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | CLOSE: (63) is inconsistent. % 81.81/12.24 | | | | | | | | | | % 81.81/12.24 | | | | | | | | | Case 2: % 81.81/12.24 | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | (64) all_8_19 = e0 % 81.81/12.24 | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | COMBINE_EQS: (25), (64) imply: % 81.81/12.24 | | | | | | | | | | (65) e1 = e0 % 81.81/12.24 | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | SIMP: (65) implies: % 81.81/12.24 | | | | | | | | | | (66) e1 = e0 % 81.81/12.24 | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | REDUCE: (53), (66) imply: % 81.81/12.24 | | | | | | | | | | (67) $false % 81.81/12.24 | | | | | | | | | | % 81.81/12.24 | | | | | | | | | | CLOSE: (67) is inconsistent. % 81.81/12.24 | | | | | | | | | | % 81.81/12.24 | | | | | | | | | End of split % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | Case 2: % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | | (68) all_8_24 = e1 % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | | COMBINE_EQS: (9), (68) imply: % 81.81/12.24 | | | | | | | | | (69) all_4_24 = e1 % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | | SIMP: (69) implies: % 81.81/12.24 | | | | | | | | | (70) all_4_24 = e1 % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | | REDUCE: (17), (70) imply: % 81.81/12.24 | | | | | | | | | (71) $false % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | | CLOSE: (71) is inconsistent. % 81.81/12.24 | | | | | | | | | % 81.81/12.24 | | | | | | | | End of split % 81.81/12.24 | | | | | | | | % 81.81/12.24 | | | | | | | End of split % 81.81/12.24 | | | | | | | % 81.81/12.24 | | | | | | Case 2: % 81.81/12.24 | | | | | | | % 81.81/12.24 | | | | | | | (72) all_10_69 = e1 & ~ (unit = e0) % 81.81/12.24 | | | | | | | % 81.81/12.24 | | | | | | | ALPHA: (72) implies: % 81.81/12.24 | | | | | | | (73) all_10_69 = e1 % 81.81/12.24 | | | | | | | % 81.81/12.24 | | | | | | | COMBINE_EQS: (7), (73) imply: % 81.81/12.24 | | | | | | | (74) all_4_24 = e1 % 81.81/12.24 | | | | | | | % 81.81/12.24 | | | | | | | SIMP: (74) implies: % 81.81/12.24 | | | | | | | (75) all_4_24 = e1 % 81.81/12.24 | | | | | | | % 81.81/12.24 | | | | | | | REDUCE: (17), (75) imply: % 81.81/12.24 | | | | | | | (76) $false % 81.81/12.24 | | | | | | | % 81.81/12.24 | | | | | | | CLOSE: (76) is inconsistent. % 81.81/12.24 | | | | | | | % 81.81/12.24 | | | | | | End of split % 81.81/12.24 | | | | | | % 81.81/12.24 | | | | | End of split % 81.81/12.24 | | | | | % 81.81/12.24 | | | | End of split % 81.81/12.24 | | | | % 81.81/12.24 | | | End of split % 81.81/12.24 | | | % 81.81/12.24 | | End of split % 81.81/12.24 | | % 81.81/12.24 | End of split % 81.81/12.24 | % 81.81/12.24 End of proof % 81.81/12.24 % 81.81/12.24 Sub-proof #14 shows that the following formulas are inconsistent: % 81.81/12.24 ---------------------------------------------------------------- % 81.81/12.24 (1) all_8_11 = e2 % 81.81/12.24 (2) all_8_11 = e0 % 81.81/12.24 (3) ~ (e2 = e0) % 81.81/12.24 % 81.81/12.24 Begin of proof % 81.81/12.24 | % 81.81/12.24 | COMBINE_EQS: (1), (2) imply: % 81.81/12.24 | (4) e2 = e0 % 81.81/12.24 | % 81.81/12.24 | SIMP: (4) implies: % 81.81/12.24 | (5) e2 = e0 % 81.81/12.24 | % 81.81/12.24 | REDUCE: (3), (5) imply: % 81.81/12.24 | (6) $false % 81.81/12.24 | % 81.81/12.24 | CLOSE: (6) is inconsistent. % 81.81/12.24 | % 81.81/12.24 End of proof % 81.81/12.24 % 81.81/12.24 Sub-proof #15 shows that the following formulas are inconsistent: % 81.81/12.24 ---------------------------------------------------------------- % 81.81/12.24 (1) ~ (all_4_19 = e2) % 81.81/12.24 (2) all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0 % 81.81/12.24 (3) all_6_14 = all_4_22 % 81.81/12.24 (4) op(e0, all_4_22) = e2 % 81.81/12.24 (5) ~ (all_4_22 = e0) % 81.81/12.24 (6) ~ (all_4_22 = e3) % 81.81/12.24 (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 81.81/12.24 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 81.81/12.24 (8) op(e0, e1) = all_4_19 % 81.81/12.24 % 81.81/12.24 Begin of proof % 81.81/12.24 | % 81.81/12.24 | BETA: splitting (2) gives: % 81.81/12.24 | % 81.81/12.24 | Case 1: % 81.81/12.24 | | % 81.81/12.24 | | (9) all_6_14 = e3 % 81.81/12.24 | | % 81.81/12.24 | | REF_CLOSE: (3), (6), (9) are inconsistent by sub-proof #146. % 81.81/12.24 | | % 81.81/12.24 | Case 2: % 81.81/12.24 | | % 81.81/12.24 | | (10) all_6_14 = e1 | all_6_14 = e0 % 81.81/12.24 | | % 81.81/12.24 | | BETA: splitting (10) gives: % 81.81/12.24 | | % 81.81/12.24 | | Case 1: % 81.81/12.24 | | | % 81.81/12.24 | | | (11) all_6_14 = e1 % 81.81/12.24 | | | % 81.81/12.24 | | | COMBINE_EQS: (3), (11) imply: % 81.81/12.24 | | | (12) all_4_22 = e1 % 81.81/12.24 | | | % 81.81/12.24 | | | SIMP: (12) implies: % 81.81/12.24 | | | (13) all_4_22 = e1 % 81.81/12.24 | | | % 81.81/12.24 | | | REDUCE: (4), (13) imply: % 81.81/12.24 | | | (14) op(e0, e1) = e2 % 81.81/12.24 | | | % 81.81/12.24 | | | REF_CLOSE: (1), (7), (8), (14) are inconsistent by sub-proof #16. % 81.81/12.24 | | | % 81.81/12.24 | | Case 2: % 81.81/12.24 | | | % 81.81/12.24 | | | (15) all_6_14 = e0 % 81.81/12.24 | | | % 81.81/12.24 | | | REF_CLOSE: (3), (5), (15) are inconsistent by sub-proof #144. % 81.81/12.24 | | | % 81.81/12.24 | | End of split % 81.81/12.24 | | % 81.81/12.24 | End of split % 81.81/12.24 | % 81.81/12.24 End of proof % 81.81/12.24 % 81.81/12.24 Sub-proof #16 shows that the following formulas are inconsistent: % 81.81/12.24 ---------------------------------------------------------------- % 81.81/12.24 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 81.81/12.24 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 81.81/12.24 (2) op(e0, e1) = all_4_19 % 81.81/12.24 (3) op(e0, e1) = e2 % 81.81/12.24 (4) ~ (all_4_19 = e2) % 81.81/12.24 % 81.81/12.24 Begin of proof % 81.81/12.24 | % 81.81/12.24 | GROUND_INST: instantiating (1) with all_4_19, e2, e1, e0, simplifying with % 81.81/12.24 | (2), (3) gives: % 81.81/12.24 | (5) all_4_19 = e2 % 81.81/12.24 | % 81.81/12.24 | REDUCE: (4), (5) imply: % 81.81/12.24 | (6) $false % 81.81/12.24 | % 81.81/12.24 | CLOSE: (6) is inconsistent. % 81.81/12.24 | % 81.81/12.24 End of proof % 81.81/12.24 % 81.81/12.24 Sub-proof #17 shows that the following formulas are inconsistent: % 81.81/12.24 ---------------------------------------------------------------- % 81.81/12.24 (1) all_6_17 = all_4_13 % 81.81/12.24 (2) all_6_17 = e3 % 81.81/12.24 (3) ~ (all_4_13 = e3) % 81.81/12.24 % 81.81/12.24 Begin of proof % 81.81/12.24 | % 81.81/12.24 | COMBINE_EQS: (1), (2) imply: % 81.81/12.24 | (4) all_4_13 = e3 % 81.81/12.24 | % 81.81/12.24 | SIMP: (4) implies: % 81.81/12.24 | (5) all_4_13 = e3 % 81.81/12.24 | % 81.81/12.24 | REDUCE: (3), (5) imply: % 81.81/12.24 | (6) $false % 81.81/12.24 | % 81.81/12.24 | CLOSE: (6) is inconsistent. % 81.81/12.24 | % 81.81/12.24 End of proof % 81.81/12.24 % 81.81/12.24 Sub-proof #18 shows that the following formulas are inconsistent: % 81.81/12.24 ---------------------------------------------------------------- % 81.81/12.24 (1) ~ (all_4_7 = e0) % 81.81/12.24 (2) ~ (all_4_7 = all_4_17) % 81.81/12.24 (3) all_6_11 = all_4_7 % 81.81/12.24 (4) ~ (all_10_50 = e0) | (all_10_64 = e1 & ~ (unit = e0)) % 81.81/12.24 (5) all_10_64 = all_4_22 % 81.81/12.24 (6) ~ (all_4_7 = all_4_22) % 81.81/12.24 (7) all_10_50 = all_4_17 % 81.81/12.24 (8) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0 % 81.81/12.24 (9) all_6_14 = all_4_22 % 81.81/12.24 (10) ~ (all_4_22 = e3) % 81.81/12.24 (11) ~ (all_4_7 = e2) % 81.81/12.24 (12) ~ (all_4_17 = e3) % 81.81/12.24 (13) all_6_13 = all_4_17 % 81.81/12.24 (14) all_6_14 = e3 | all_6_14 = e2 | all_6_14 = e1 | all_6_14 = e0 % 81.81/12.24 (15) ~ (all_4_17 = all_4_22) % 81.81/12.24 (16) op(e2, all_4_22) = all_10_63 % 81.81/12.24 (17) all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 | all_6_13 = e0 % 81.81/12.24 (18) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 81.81/12.24 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 81.81/12.25 (19) ~ (all_4_7 = e3) % 81.81/12.25 (20) op(e2, e0) = all_4_22 % 81.81/12.25 (21) ~ (all_10_63 = e0) % 81.81/12.25 % 81.81/12.25 Begin of proof % 81.81/12.25 | % 81.81/12.25 | BETA: splitting (8) gives: % 81.81/12.25 | % 81.81/12.25 | Case 1: % 81.81/12.25 | | % 81.81/12.25 | | (22) all_6_11 = e2 % 81.81/12.25 | | % 81.81/12.25 | | REF_CLOSE: (3), (11), (22) are inconsistent by sub-proof #150. % 81.81/12.25 | | % 81.81/12.25 | Case 2: % 81.81/12.25 | | % 81.81/12.25 | | (23) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0 % 81.81/12.25 | | % 81.81/12.25 | | BETA: splitting (23) gives: % 81.81/12.25 | | % 81.81/12.25 | | Case 1: % 81.81/12.25 | | | % 81.81/12.25 | | | (24) all_6_11 = e3 % 81.81/12.25 | | | % 81.81/12.25 | | | REF_CLOSE: (3), (19), (24) are inconsistent by sub-proof #149. % 81.81/12.25 | | | % 81.81/12.25 | | Case 2: % 81.81/12.25 | | | % 81.81/12.25 | | | (25) all_6_11 = e1 | all_6_11 = e0 % 81.81/12.25 | | | % 81.81/12.25 | | | BETA: splitting (25) gives: % 81.81/12.25 | | | % 81.81/12.25 | | | Case 1: % 81.81/12.25 | | | | % 81.81/12.25 | | | | (26) all_6_11 = e1 % 81.81/12.25 | | | | % 81.81/12.25 | | | | COMBINE_EQS: (3), (26) imply: % 81.81/12.25 | | | | (27) all_4_7 = e1 % 81.81/12.25 | | | | % 81.81/12.25 | | | | SIMP: (27) implies: % 81.81/12.25 | | | | (28) all_4_7 = e1 % 81.81/12.25 | | | | % 81.81/12.25 | | | | REDUCE: (2), (28) imply: % 81.81/12.25 | | | | (29) ~ (all_4_17 = e1) % 81.81/12.25 | | | | % 81.81/12.25 | | | | SIMP: (29) implies: % 81.81/12.25 | | | | (30) ~ (all_4_17 = e1) % 81.81/12.25 | | | | % 81.81/12.25 | | | | REDUCE: (6), (28) imply: % 81.81/12.25 | | | | (31) ~ (all_4_22 = e1) % 81.81/12.25 | | | | % 81.81/12.25 | | | | SIMP: (31) implies: % 81.81/12.25 | | | | (32) ~ (all_4_22 = e1) % 81.81/12.25 | | | | % 81.81/12.25 | | | | BETA: splitting (4) gives: % 81.81/12.25 | | | | % 81.81/12.25 | | | | Case 1: % 81.81/12.25 | | | | | % 81.81/12.25 | | | | | (33) ~ (all_10_50 = e0) % 81.81/12.25 | | | | | % 81.81/12.25 | | | | | REDUCE: (7), (33) imply: % 81.81/12.25 | | | | | (34) ~ (all_4_17 = e0) % 81.81/12.25 | | | | | % 81.81/12.25 | | | | | BETA: splitting (17) gives: % 81.81/12.25 | | | | | % 81.81/12.25 | | | | | Case 1: % 81.81/12.25 | | | | | | % 81.81/12.25 | | | | | | (35) all_6_13 = e2 % 81.81/12.25 | | | | | | % 81.81/12.25 | | | | | | COMBINE_EQS: (13), (35) imply: % 81.81/12.25 | | | | | | (36) all_4_17 = e2 % 81.81/12.25 | | | | | | % 81.81/12.25 | | | | | | SIMP: (36) implies: % 81.81/12.25 | | | | | | (37) all_4_17 = e2 % 81.81/12.25 | | | | | | % 81.81/12.25 | | | | | | REDUCE: (15), (37) imply: % 81.81/12.25 | | | | | | (38) ~ (all_4_22 = e2) % 81.81/12.25 | | | | | | % 81.81/12.25 | | | | | | SIMP: (38) implies: % 81.81/12.25 | | | | | | (39) ~ (all_4_22 = e2) % 81.81/12.25 | | | | | | % 81.81/12.25 | | | | | | BETA: splitting (14) gives: % 81.81/12.25 | | | | | | % 81.81/12.25 | | | | | | Case 1: % 81.81/12.25 | | | | | | | % 81.81/12.25 | | | | | | | (40) all_6_14 = e2 % 81.81/12.25 | | | | | | | % 81.81/12.25 | | | | | | | REF_CLOSE: (9), (39), (40) are inconsistent by sub-proof #46. % 81.81/12.25 | | | | | | | % 81.81/12.25 | | | | | | Case 2: % 81.81/12.25 | | | | | | | % 81.81/12.25 | | | | | | | (41) all_6_14 = e3 | all_6_14 = e1 | all_6_14 = e0 % 81.81/12.25 | | | | | | | % 81.81/12.25 | | | | | | | BETA: splitting (41) gives: % 81.81/12.25 | | | | | | | % 81.81/12.25 | | | | | | | Case 1: % 81.81/12.25 | | | | | | | | % 81.81/12.25 | | | | | | | | (42) all_6_14 = e3 % 81.81/12.25 | | | | | | | | % 81.81/12.25 | | | | | | | | REF_CLOSE: (9), (10), (42) are inconsistent by sub-proof #146. % 81.81/12.25 | | | | | | | | % 81.81/12.25 | | | | | | | Case 2: % 81.81/12.25 | | | | | | | | % 81.81/12.25 | | | | | | | | (43) all_6_14 = e1 | all_6_14 = e0 % 81.81/12.25 | | | | | | | | % 81.81/12.25 | | | | | | | | BETA: splitting (43) gives: % 81.81/12.25 | | | | | | | | % 81.81/12.25 | | | | | | | | Case 1: % 81.81/12.25 | | | | | | | | | % 81.81/12.25 | | | | | | | | | (44) all_6_14 = e1 % 81.81/12.25 | | | | | | | | | % 81.81/12.25 | | | | | | | | | REF_CLOSE: (9), (32), (44) are inconsistent by sub-proof #145. % 81.81/12.25 | | | | | | | | | % 81.81/12.25 | | | | | | | | Case 2: % 81.81/12.25 | | | | | | | | | % 81.81/12.25 | | | | | | | | | (45) all_6_14 = e0 % 81.81/12.25 | | | | | | | | | % 81.81/12.25 | | | | | | | | | COMBINE_EQS: (9), (45) imply: % 81.81/12.25 | | | | | | | | | (46) all_4_22 = e0 % 81.81/12.25 | | | | | | | | | % 81.81/12.25 | | | | | | | | | SIMP: (46) implies: % 81.81/12.25 | | | | | | | | | (47) all_4_22 = e0 % 81.81/12.25 | | | | | | | | | % 81.81/12.25 | | | | | | | | | REDUCE: (16), (47) imply: % 81.81/12.25 | | | | | | | | | (48) op(e2, e0) = all_10_63 % 81.81/12.25 | | | | | | | | | % 81.81/12.25 | | | | | | | | | REDUCE: (20), (47) imply: % 81.81/12.25 | | | | | | | | | (49) op(e2, e0) = e0 % 81.81/12.25 | | | | | | | | | % 81.81/12.25 | | | | | | | | | GROUND_INST: instantiating (18) with e0, all_10_63, e0, e2, % 81.81/12.25 | | | | | | | | | simplifying with (48), (49) gives: % 81.81/12.25 | | | | | | | | | (50) all_10_63 = e0 % 81.81/12.25 | | | | | | | | | % 81.81/12.25 | | | | | | | | | REDUCE: (21), (50) imply: % 81.81/12.25 | | | | | | | | | (51) $false % 81.81/12.25 | | | | | | | | | % 81.81/12.25 | | | | | | | | | CLOSE: (51) is inconsistent. % 81.81/12.25 | | | | | | | | | % 81.81/12.25 | | | | | | | | End of split % 81.81/12.25 | | | | | | | | % 81.81/12.25 | | | | | | | End of split % 81.81/12.25 | | | | | | | % 81.81/12.25 | | | | | | End of split % 81.81/12.25 | | | | | | % 81.81/12.25 | | | | | Case 2: % 81.81/12.25 | | | | | | % 81.81/12.25 | | | | | | (52) all_6_13 = e3 | all_6_13 = e1 | all_6_13 = e0 % 81.81/12.25 | | | | | | % 81.81/12.25 | | | | | | REF_CLOSE: (12), (13), (30), (34), (52) are inconsistent by % 81.81/12.25 | | | | | | sub-proof #110. % 81.81/12.25 | | | | | | % 81.81/12.25 | | | | | End of split % 81.81/12.25 | | | | | % 81.81/12.25 | | | | Case 2: % 81.81/12.25 | | | | | % 81.81/12.25 | | | | | (53) all_10_64 = e1 & ~ (unit = e0) % 81.81/12.25 | | | | | % 81.81/12.25 | | | | | REF_CLOSE: (5), (32), (53) are inconsistent by sub-proof #66. % 81.81/12.25 | | | | | % 81.81/12.25 | | | | End of split % 81.81/12.25 | | | | % 81.81/12.25 | | | Case 2: % 81.81/12.25 | | | | % 81.81/12.25 | | | | (54) all_6_11 = e0 % 81.81/12.25 | | | | % 81.81/12.25 | | | | REF_CLOSE: (1), (3), (54) are inconsistent by sub-proof #143. % 81.81/12.25 | | | | % 81.81/12.25 | | | End of split % 81.81/12.25 | | | % 81.81/12.25 | | End of split % 81.81/12.25 | | % 81.81/12.25 | End of split % 81.81/12.25 | % 81.81/12.25 End of proof % 81.81/12.25 % 81.81/12.25 Sub-proof #19 shows that the following formulas are inconsistent: % 81.81/12.25 ---------------------------------------------------------------- % 81.81/12.25 (1) all_10_67 = e2 & ~ (unit = e0) % 81.81/12.25 (2) all_10_67 = all_4_23 % 81.81/12.25 (3) ~ (all_4_23 = e2) % 81.81/12.25 % 81.81/12.25 Begin of proof % 81.81/12.25 | % 81.81/12.25 | ALPHA: (1) implies: % 82.16/12.25 | (4) all_10_67 = e2 % 82.16/12.25 | % 82.16/12.25 | COMBINE_EQS: (2), (4) imply: % 82.16/12.25 | (5) all_4_23 = e2 % 82.16/12.25 | % 82.16/12.25 | SIMP: (5) implies: % 82.16/12.25 | (6) all_4_23 = e2 % 82.16/12.25 | % 82.16/12.25 | REDUCE: (3), (6) imply: % 82.16/12.25 | (7) $false % 82.16/12.25 | % 82.16/12.25 | CLOSE: (7) is inconsistent. % 82.16/12.25 | % 82.16/12.25 End of proof % 82.16/12.25 % 82.16/12.25 Sub-proof #20 shows that the following formulas are inconsistent: % 82.16/12.25 ---------------------------------------------------------------- % 82.16/12.25 (1) all_8_23 = all_4_19 % 82.16/12.25 (2) all_8_23 = e4 % 82.16/12.25 (3) ~ (all_4_19 = e4) % 82.16/12.25 % 82.16/12.25 Begin of proof % 82.16/12.25 | % 82.16/12.25 | COMBINE_EQS: (1), (2) imply: % 82.16/12.25 | (4) all_4_19 = e4 % 82.16/12.25 | % 82.16/12.25 | SIMP: (4) implies: % 82.16/12.25 | (5) all_4_19 = e4 % 82.16/12.25 | % 82.16/12.25 | REDUCE: (3), (5) imply: % 82.16/12.25 | (6) $false % 82.16/12.25 | % 82.16/12.25 | CLOSE: (6) is inconsistent. % 82.16/12.25 | % 82.16/12.25 End of proof % 82.16/12.25 % 82.16/12.25 Sub-proof #21 shows that the following formulas are inconsistent: % 82.16/12.25 ---------------------------------------------------------------- % 82.16/12.25 (1) ~ (all_4_16 = e1) % 82.16/12.25 (2) ~ (all_4_16 = e2) % 82.16/12.25 (3) all_6_8 = all_4_16 % 82.16/12.25 (4) all_6_8 = e3 | all_6_8 = e2 | all_6_8 = e1 | all_6_8 = e0 % 82.16/12.25 (5) ~ (all_4_21 = e0) % 82.16/12.25 (6) all_8_10 = all_4_16 % 82.16/12.25 (7) all_8_17 = all_4_21 % 82.16/12.25 (8) all_8_10 = e0 | all_8_17 = e0 % 82.16/12.25 (9) ~ (all_4_16 = e0) % 82.16/12.25 % 82.16/12.25 Begin of proof % 82.16/12.25 | % 82.16/12.25 | BETA: splitting (4) gives: % 82.16/12.25 | % 82.16/12.25 | Case 1: % 82.16/12.25 | | % 82.16/12.25 | | (10) all_6_8 = e2 % 82.16/12.25 | | % 82.16/12.25 | | REF_CLOSE: (2), (3), (10) are inconsistent by sub-proof #69. % 82.16/12.25 | | % 82.16/12.25 | Case 2: % 82.16/12.25 | | % 82.16/12.25 | | (11) all_6_8 = e3 | all_6_8 = e1 | all_6_8 = e0 % 82.16/12.25 | | % 82.16/12.25 | | BETA: splitting (11) gives: % 82.16/12.25 | | % 82.16/12.25 | | Case 1: % 82.16/12.25 | | | % 82.16/12.25 | | | (12) all_6_8 = e3 % 82.16/12.25 | | | % 82.16/12.25 | | | COMBINE_EQS: (3), (12) imply: % 82.16/12.25 | | | (13) all_4_16 = e3 % 82.16/12.25 | | | % 82.16/12.25 | | | SIMP: (13) implies: % 82.16/12.25 | | | (14) all_4_16 = e3 % 82.16/12.25 | | | % 82.16/12.25 | | | COMBINE_EQS: (6), (14) imply: % 82.16/12.25 | | | (15) all_8_10 = e3 % 82.16/12.25 | | | % 82.16/12.25 | | | REDUCE: (9), (14) imply: % 82.16/12.25 | | | (16) ~ (e3 = e0) % 82.16/12.25 | | | % 82.16/12.25 | | | BETA: splitting (8) gives: % 82.16/12.25 | | | % 82.16/12.25 | | | Case 1: % 82.16/12.25 | | | | % 82.16/12.25 | | | | (17) all_8_10 = e0 % 82.16/12.25 | | | | % 82.16/12.25 | | | | COMBINE_EQS: (15), (17) imply: % 82.16/12.25 | | | | (18) e3 = e0 % 82.16/12.25 | | | | % 82.16/12.25 | | | | SIMP: (18) implies: % 82.16/12.25 | | | | (19) e3 = e0 % 82.16/12.25 | | | | % 82.16/12.25 | | | | REDUCE: (16), (19) imply: % 82.16/12.25 | | | | (20) $false % 82.16/12.25 | | | | % 82.16/12.25 | | | | CLOSE: (20) is inconsistent. % 82.16/12.25 | | | | % 82.16/12.25 | | | Case 2: % 82.16/12.25 | | | | % 82.16/12.25 | | | | (21) all_8_17 = e0 % 82.16/12.25 | | | | % 82.16/12.25 | | | | REF_CLOSE: (5), (7), (21) are inconsistent by sub-proof #173. % 82.16/12.25 | | | | % 82.16/12.25 | | | End of split % 82.16/12.25 | | | % 82.16/12.25 | | Case 2: % 82.16/12.25 | | | % 82.16/12.25 | | | (22) all_6_8 = e1 | all_6_8 = e0 % 82.16/12.25 | | | % 82.16/12.25 | | | REF_CLOSE: (1), (3), (9), (22) are inconsistent by sub-proof #172. % 82.16/12.25 | | | % 82.16/12.25 | | End of split % 82.16/12.25 | | % 82.16/12.25 | End of split % 82.16/12.25 | % 82.16/12.25 End of proof % 82.16/12.25 % 82.16/12.25 Sub-proof #22 shows that the following formulas are inconsistent: % 82.16/12.25 ---------------------------------------------------------------- % 82.16/12.25 (1) op(e0, all_4_21) = e3 % 82.16/12.25 (2) all_8_16 = e2 | all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 | all_8_24 % 82.16/12.25 = e2 % 82.16/12.25 (3) op(e0, e2) = all_4_14 % 82.16/12.25 (4) ~ (all_10_33 = e0) | (all_10_61 = e2 & ~ (unit = e0)) % 82.16/12.25 (5) all_10_33 = e0 % 82.16/12.25 (6) all_8_16 = e4 % 82.16/12.25 (7) ~ (all_4_14 = e4) % 82.16/12.25 (8) ~ (all_4_21 = e3) % 82.16/12.25 (9) all_10_61 = all_4_21 % 82.16/12.25 (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 82.16/12.25 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 82.16/12.25 (11) op(e0, all_4_14) = all_10_40 % 82.16/12.25 (12) all_8_17 = all_4_21 % 82.16/12.25 (13) all_4_14 = e2 % 82.16/12.25 % 82.16/12.25 Begin of proof % 82.16/12.25 | % 82.16/12.25 | SIMP: (13) implies: % 82.16/12.25 | (14) all_4_14 = e2 % 82.16/12.25 | % 82.16/12.25 | REDUCE: (7), (14) imply: % 82.16/12.25 | (15) ~ (e4 = e2) % 82.16/12.25 | % 82.16/12.25 | SIMP: (15) implies: % 82.16/12.25 | (16) ~ (e4 = e2) % 82.16/12.25 | % 82.16/12.25 | REDUCE: (11), (14) imply: % 82.16/12.25 | (17) op(e0, e2) = all_10_40 % 82.16/12.25 | % 82.16/12.25 | REDUCE: (3), (14) imply: % 82.16/12.25 | (18) op(e0, e2) = e2 % 82.16/12.25 | % 82.16/12.25 | BETA: splitting (2) gives: % 82.16/12.25 | % 82.16/12.25 | Case 1: % 82.16/12.25 | | % 82.16/12.25 | | (19) all_8_16 = e2 % 82.16/12.25 | | % 82.16/12.25 | | REF_CLOSE: (6), (16), (19) are inconsistent by sub-proof #61. % 82.16/12.25 | | % 82.16/12.25 | Case 2: % 82.16/12.25 | | % 82.16/12.25 | | (20) all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 | all_8_24 = e2 % 82.16/12.25 | | % 82.16/12.25 | | REF_CLOSE: (1), (4), (5), (8), (9), (10), (12), (17), (18), (20) are % 82.16/12.25 | | inconsistent by sub-proof #37. % 82.16/12.25 | | % 82.16/12.25 | End of split % 82.16/12.25 | % 82.16/12.25 End of proof % 82.16/12.25 % 82.16/12.25 Sub-proof #23 shows that the following formulas are inconsistent: % 82.16/12.25 ---------------------------------------------------------------- % 82.16/12.25 (1) all_8_4 = all_4_10 % 82.16/12.25 (2) all_8_4 = e2 % 82.16/12.25 (3) ~ (all_4_10 = e2) % 82.16/12.25 % 82.16/12.25 Begin of proof % 82.16/12.25 | % 82.16/12.25 | COMBINE_EQS: (1), (2) imply: % 82.16/12.25 | (4) all_4_10 = e2 % 82.16/12.25 | % 82.16/12.25 | SIMP: (4) implies: % 82.16/12.25 | (5) all_4_10 = e2 % 82.16/12.25 | % 82.16/12.25 | REDUCE: (3), (5) imply: % 82.16/12.25 | (6) $false % 82.16/12.25 | % 82.16/12.25 | CLOSE: (6) is inconsistent. % 82.16/12.25 | % 82.16/12.25 End of proof % 82.16/12.25 % 82.16/12.25 Sub-proof #24 shows that the following formulas are inconsistent: % 82.16/12.25 ---------------------------------------------------------------- % 82.16/12.25 (1) all_8_7 = e2 % 82.16/12.25 (2) all_8_7 = e1 % 82.16/12.25 (3) ~ (e2 = e1) % 82.16/12.25 % 82.16/12.25 Begin of proof % 82.16/12.25 | % 82.16/12.25 | COMBINE_EQS: (1), (2) imply: % 82.16/12.25 | (4) e2 = e1 % 82.16/12.25 | % 82.16/12.25 | SIMP: (4) implies: % 82.16/12.25 | (5) e2 = e1 % 82.16/12.25 | % 82.16/12.25 | REDUCE: (3), (5) imply: % 82.16/12.25 | (6) $false % 82.16/12.25 | % 82.16/12.25 | CLOSE: (6) is inconsistent. % 82.16/12.25 | % 82.16/12.25 End of proof % 82.16/12.25 % 82.16/12.25 Sub-proof #25 shows that the following formulas are inconsistent: % 82.16/12.25 ---------------------------------------------------------------- % 82.16/12.25 (1) ~ (all_4_13 = e0) % 82.16/12.25 (2) all_8_19 = all_4_23 % 82.16/12.25 (3) all_8_14 = e0 | all_8_15 = e0 | all_8_19 = e0 % 82.16/12.25 (4) all_8_14 = all_4_13 % 82.16/12.25 (5) ~ (all_4_23 = e0) % 82.16/12.25 (6) all_8_15 = e4 % 82.16/12.25 (7) ~ (e4 = e0) % 82.16/12.25 % 82.16/12.25 Begin of proof % 82.16/12.25 | % 82.16/12.25 | BETA: splitting (3) gives: % 82.16/12.25 | % 82.16/12.25 | Case 1: % 82.16/12.25 | | % 82.16/12.25 | | (8) all_8_14 = e0 % 82.16/12.25 | | % 82.16/12.25 | | REF_CLOSE: (1), (4), (8) are inconsistent by sub-proof #91. % 82.16/12.25 | | % 82.16/12.25 | Case 2: % 82.16/12.25 | | % 82.16/12.25 | | (9) all_8_15 = e0 | all_8_19 = e0 % 82.16/12.25 | | % 82.16/12.25 | | BETA: splitting (9) gives: % 82.16/12.25 | | % 82.16/12.25 | | Case 1: % 82.16/12.25 | | | % 82.16/12.25 | | | (10) all_8_15 = e0 % 82.16/12.25 | | | % 82.16/12.25 | | | REF_CLOSE: (6), (7), (10) are inconsistent by sub-proof #26. % 82.16/12.25 | | | % 82.16/12.25 | | Case 2: % 82.16/12.25 | | | % 82.16/12.25 | | | (11) all_8_19 = e0 % 82.16/12.25 | | | % 82.16/12.25 | | | REF_CLOSE: (2), (5), (11) are inconsistent by sub-proof #105. % 82.16/12.25 | | | % 82.16/12.25 | | End of split % 82.16/12.25 | | % 82.16/12.25 | End of split % 82.16/12.25 | % 82.16/12.25 End of proof % 82.16/12.25 % 82.16/12.25 Sub-proof #26 shows that the following formulas are inconsistent: % 82.16/12.25 ---------------------------------------------------------------- % 82.16/12.25 (1) all_8_15 = e4 % 82.16/12.25 (2) all_8_15 = e0 % 82.16/12.25 (3) ~ (e4 = e0) % 82.16/12.25 % 82.16/12.25 Begin of proof % 82.16/12.25 | % 82.16/12.25 | COMBINE_EQS: (1), (2) imply: % 82.16/12.25 | (4) e4 = e0 % 82.16/12.25 | % 82.16/12.25 | SIMP: (4) implies: % 82.16/12.25 | (5) e4 = e0 % 82.16/12.25 | % 82.16/12.25 | REDUCE: (3), (5) imply: % 82.16/12.25 | (6) $false % 82.16/12.25 | % 82.16/12.25 | CLOSE: (6) is inconsistent. % 82.16/12.25 | % 82.16/12.25 End of proof % 82.16/12.25 % 82.16/12.25 Sub-proof #27 shows that the following formulas are inconsistent: % 82.16/12.25 ---------------------------------------------------------------- % 82.16/12.25 (1) all_8_13 = e3 % 82.16/12.25 (2) all_8_13 = e0 % 82.16/12.25 (3) ~ (e3 = e0) % 82.16/12.25 % 82.16/12.25 Begin of proof % 82.16/12.25 | % 82.16/12.25 | COMBINE_EQS: (1), (2) imply: % 82.16/12.25 | (4) e3 = e0 % 82.16/12.25 | % 82.16/12.25 | SIMP: (4) implies: % 82.16/12.25 | (5) e3 = e0 % 82.16/12.25 | % 82.16/12.25 | REDUCE: (3), (5) imply: % 82.16/12.25 | (6) $false % 82.16/12.25 | % 82.16/12.25 | CLOSE: (6) is inconsistent. % 82.16/12.25 | % 82.16/12.25 End of proof % 82.16/12.25 % 82.16/12.25 Sub-proof #28 shows that the following formulas are inconsistent: % 82.16/12.25 ---------------------------------------------------------------- % 82.16/12.25 (1) all_8_7 = all_4_7 % 82.16/12.25 (2) all_8_7 = e3 % 82.16/12.25 (3) ~ (all_4_7 = e3) % 82.16/12.25 % 82.16/12.25 Begin of proof % 82.16/12.25 | % 82.16/12.25 | COMBINE_EQS: (1), (2) imply: % 82.16/12.25 | (4) all_4_7 = e3 % 82.16/12.25 | % 82.16/12.25 | SIMP: (4) implies: % 82.16/12.25 | (5) all_4_7 = e3 % 82.16/12.25 | % 82.16/12.25 | REDUCE: (3), (5) imply: % 82.16/12.25 | (6) $false % 82.16/12.25 | % 82.16/12.25 | CLOSE: (6) is inconsistent. % 82.16/12.25 | % 82.16/12.25 End of proof % 82.16/12.25 % 82.16/12.25 Sub-proof #29 shows that the following formulas are inconsistent: % 82.16/12.25 ---------------------------------------------------------------- % 82.16/12.25 (1) all_8_3 = e4 % 82.16/12.25 (2) all_8_3 = e3 % 82.16/12.25 (3) ~ (e4 = e3) % 82.16/12.25 % 82.16/12.25 Begin of proof % 82.16/12.25 | % 82.16/12.25 | COMBINE_EQS: (1), (2) imply: % 82.16/12.25 | (4) e4 = e3 % 82.16/12.25 | % 82.16/12.25 | SIMP: (4) implies: % 82.16/12.25 | (5) e4 = e3 % 82.16/12.25 | % 82.16/12.25 | REDUCE: (3), (5) imply: % 82.16/12.25 | (6) $false % 82.16/12.25 | % 82.16/12.25 | CLOSE: (6) is inconsistent. % 82.16/12.25 | % 82.16/12.25 End of proof % 82.16/12.25 % 82.16/12.25 Sub-proof #30 shows that the following formulas are inconsistent: % 82.16/12.25 ---------------------------------------------------------------- % 82.16/12.25 (1) all_8_1 = all_4_5 % 82.16/12.25 (2) all_8_1 = e3 % 82.16/12.25 (3) ~ (all_4_5 = e3) % 82.16/12.25 % 82.16/12.25 Begin of proof % 82.16/12.25 | % 82.16/12.25 | COMBINE_EQS: (1), (2) imply: % 82.16/12.25 | (4) all_4_5 = e3 % 82.16/12.25 | % 82.16/12.25 | SIMP: (4) implies: % 82.16/12.25 | (5) all_4_5 = e3 % 82.16/12.25 | % 82.16/12.25 | REDUCE: (3), (5) imply: % 82.16/12.25 | (6) $false % 82.16/12.25 | % 82.16/12.25 | CLOSE: (6) is inconsistent. % 82.16/12.25 | % 82.16/12.25 End of proof % 82.16/12.25 % 82.16/12.25 Sub-proof #31 shows that the following formulas are inconsistent: % 82.16/12.25 ---------------------------------------------------------------- % 82.16/12.25 (1) op(e2, e2) = e4 % 82.16/12.25 (2) ~ (all_4_7 = e0) % 82.16/12.25 (3) ~ (all_4_5 = all_4_6) % 82.16/12.25 (4) all_6_7 = all_4_11 % 82.16/12.25 (5) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 = e0 % 82.16/12.25 (6) all_8_15 = all_4_18 % 82.16/12.25 (7) all_6_11 = all_4_7 % 82.16/12.25 (8) ~ (all_4_19 = all_4_24) % 82.16/12.25 (9) ~ (all_4_5 = all_4_7) % 82.16/12.25 (10) ~ (all_4_5 = e4) % 82.16/12.25 (11) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 | all_6_21 % 82.16/12.25 = e0 % 82.16/12.25 (12) ~ (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit = e0)) % 82.16/12.25 (13) ~ (all_4_11 = e1) % 82.16/12.26 (14) ~ (all_4_5 = all_4_15) % 82.16/12.26 (15) ~ (all_4_5 = e1) % 82.16/12.26 (16) ~ (all_10_33 = e0) | (all_10_61 = e2 & ~ (unit = e0)) % 82.16/12.26 (17) ~ (all_4_15 = e1) % 82.16/12.26 (18) ~ (all_4_9 = all_4_24) % 82.16/12.26 (19) ~ (all_10_27 = e0) | (all_10_69 = e3 & ~ (unit = e0)) % 82.16/12.26 (20) ~ (all_4_11 = all_4_21) % 82.16/12.26 (21) all_8_10 = e4 % 82.16/12.26 (22) all_8_21 = all_4_9 % 82.16/12.26 (23) all_10_27 = all_4_9 % 82.16/12.26 (24) all_8_11 = all_4_17 % 82.16/12.26 (25) ~ (all_4_11 = e3) % 82.16/12.26 (26) all_8_20 = e0 | all_8_21 = e0 | all_8_22 = e0 | all_8_23 = e0 % 82.16/12.26 (27) op(e0, e0) = all_4_24 % 82.16/12.26 (28) all_10_69 = all_4_24 % 82.16/12.26 (29) all_8_10 = e3 | all_8_11 = e3 | all_8_15 = e3 | all_8_23 = e3 % 82.16/12.26 (30) all_8_1 = all_4_5 % 82.16/12.26 (31) all_10_41 = all_4_14 % 82.16/12.26 (32) ~ (all_4_17 = e4) % 82.16/12.26 (33) all_10_36 = all_4_7 % 82.16/12.26 (34) all_6_11 = e3 | all_6_11 = e2 | all_6_11 = e1 | all_6_11 = e0 % 82.16/12.26 (35) all_6_3 = e3 | all_6_3 = e2 | all_6_3 = e1 | all_6_3 = e0 % 82.16/12.26 (36) ~ (all_4_15 = e3) % 82.16/12.26 (37) all_10_61 = all_4_21 % 82.16/12.26 (38) ~ (all_4_9 = all_4_19) % 82.16/12.26 (39) ~ (all_4_19 = e4) % 82.16/12.26 (40) ~ (all_4_15 = all_4_19) % 82.16/12.26 (41) ~ (all_4_17 = e3) % 82.16/12.26 (42) all_6_1 = e3 | all_6_1 = e2 | all_6_1 = e1 | all_6_1 = e0 % 82.16/12.26 (43) ~ (all_4_18 = e3) % 82.16/12.26 (44) all_6_21 = all_4_9 % 82.16/12.26 (45) all_8_2 = e3 | all_8_3 = e3 | all_8_5 = e3 | all_8_10 = e3 | all_8_17 = % 82.16/12.26 e3 % 82.16/12.26 (46) all_10_28 = all_4_17 % 82.16/12.26 (47) all_8_0 = e3 | all_8_1 = e3 | all_8_4 = e3 | all_8_9 = e3 | all_8_16 = % 82.16/12.26 e3 % 82.16/12.26 (48) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 82.16/12.26 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 82.16/12.26 (49) op(e0, all_4_14) = all_10_40 % 82.16/12.26 (50) all_8_17 = all_4_21 % 82.16/12.26 (51) op(e2, all_4_11) = all_10_31 % 82.16/12.26 (52) all_8_2 = e1 % 82.16/12.26 (53) all_8_22 = all_4_14 % 82.16/12.26 (54) all_8_0 = e0 % 82.16/12.26 (55) all_8_3 = all_4_6 % 82.16/12.26 (56) all_6_3 = all_4_15 % 82.16/12.26 (57) all_8_20 = e4 % 82.16/12.26 (58) ~ (e3 = e0) % 82.16/12.26 (59) ~ (e4 = e1) % 82.16/12.26 (60) op(e2, all_4_7) = all_10_20 % 82.16/12.26 (61) all_8_20 = e1 | all_8_21 = e1 | all_8_22 = e1 | all_8_23 = e1 | all_8_24 % 82.16/12.26 = e1 % 82.16/12.26 (62) ~ (all_4_9 = all_4_14) % 82.16/12.26 (63) all_8_5 = all_4_11 % 82.16/12.26 (64) ~ (all_4_5 = e0) % 82.16/12.26 (65) ~ (all_4_15 = e0) % 82.16/12.26 (66) all_6_1 = all_4_5 % 82.16/12.26 (67) all_8_23 = all_4_19 % 82.16/12.26 (68) ~ (all_4_7 = all_4_9) % 82.16/12.26 (69) ~ (all_4_9 = e4) % 82.16/12.26 (70) (all_10_28 = e4 & ~ (all_10_29 = e2)) | (all_10_31 = e3 & ~ (all_10_32 % 82.16/12.26 = e2)) | (all_10_36 = e1 & ~ (all_10_37 = e2)) | (all_10_39 = e0 & % 82.16/12.26 ~ (all_10_40 = e2)) % 82.16/12.26 (71) all_10_33 = all_4_11 % 82.16/12.26 (72) ~ (e4 = e0) % 82.16/12.26 % 82.16/12.26 Begin of proof % 82.16/12.26 | % 82.16/12.26 | BETA: splitting (47) gives: % 82.16/12.26 | % 82.16/12.26 | Case 1: % 82.16/12.26 | | % 82.16/12.26 | | (73) all_8_0 = e3 % 82.16/12.26 | | % 82.16/12.26 | | REF_CLOSE: (54), (58), (73) are inconsistent by sub-proof #131. % 82.16/12.26 | | % 82.16/12.26 | Case 2: % 82.16/12.26 | | % 82.16/12.26 | | (74) all_8_1 = e3 | all_8_4 = e3 | all_8_9 = e3 | all_8_16 = e3 % 82.16/12.26 | | % 82.16/12.26 | | BETA: splitting (74) gives: % 82.16/12.26 | | % 82.16/12.26 | | Case 1: % 82.16/12.26 | | | % 82.16/12.26 | | | (75) all_8_1 = e3 % 82.16/12.26 | | | % 82.16/12.26 | | | COMBINE_EQS: (30), (75) imply: % 82.16/12.26 | | | (76) all_4_5 = e3 % 82.16/12.26 | | | % 82.16/12.26 | | | REDUCE: (3), (76) imply: % 82.16/12.26 | | | (77) ~ (all_4_6 = e3) % 82.16/12.26 | | | % 82.16/12.26 | | | SIMP: (77) implies: % 82.16/12.26 | | | (78) ~ (all_4_6 = e3) % 82.16/12.26 | | | % 82.16/12.26 | | | REDUCE: (9), (76) imply: % 82.16/12.26 | | | (79) ~ (all_4_7 = e3) % 82.16/12.26 | | | % 82.16/12.26 | | | SIMP: (79) implies: % 82.16/12.26 | | | (80) ~ (all_4_7 = e3) % 82.16/12.26 | | | % 82.16/12.26 | | | REDUCE: (14), (76) imply: % 82.16/12.26 | | | (81) ~ (all_4_15 = e3) % 82.16/12.26 | | | % 82.16/12.26 | | | REDUCE: (10), (76) imply: % 82.16/12.26 | | | (82) ~ (e4 = e3) % 82.16/12.26 | | | % 82.16/12.26 | | | SIMP: (82) implies: % 82.16/12.26 | | | (83) ~ (e4 = e3) % 82.16/12.26 | | | % 82.16/12.26 | | | REDUCE: (15), (76) imply: % 82.16/12.26 | | | (84) ~ (e3 = e1) % 82.16/12.26 | | | % 82.16/12.26 | | | BETA: splitting (29) gives: % 82.16/12.26 | | | % 82.16/12.26 | | | Case 1: % 82.16/12.26 | | | | % 82.16/12.26 | | | | (85) all_8_10 = e3 % 82.16/12.26 | | | | % 82.16/12.26 | | | | COMBINE_EQS: (21), (85) imply: % 82.16/12.26 | | | | (86) e4 = e3 % 82.16/12.26 | | | | % 82.16/12.26 | | | | REDUCE: (83), (86) imply: % 82.16/12.26 | | | | (87) $false % 82.16/12.26 | | | | % 82.16/12.26 | | | | CLOSE: (87) is inconsistent. % 82.16/12.26 | | | | % 82.16/12.26 | | | Case 2: % 82.16/12.26 | | | | % 82.16/12.26 | | | | (88) ~ (all_8_10 = e3) % 82.16/12.26 | | | | (89) all_8_11 = e3 | all_8_15 = e3 | all_8_23 = e3 % 82.16/12.26 | | | | % 82.16/12.26 | | | | BETA: splitting (89) gives: % 82.16/12.26 | | | | % 82.16/12.26 | | | | Case 1: % 82.16/12.26 | | | | | % 82.16/12.26 | | | | | (90) all_8_11 = e3 % 82.16/12.26 | | | | | % 82.16/12.26 | | | | | COMBINE_EQS: (24), (90) imply: % 82.16/12.26 | | | | | (91) all_4_17 = e3 % 82.16/12.26 | | | | | % 82.16/12.26 | | | | | SIMP: (91) implies: % 82.16/12.26 | | | | | (92) all_4_17 = e3 % 82.16/12.26 | | | | | % 82.16/12.26 | | | | | REDUCE: (41), (92) imply: % 82.16/12.26 | | | | | (93) $false % 82.16/12.26 | | | | | % 82.16/12.26 | | | | | CLOSE: (93) is inconsistent. % 82.16/12.26 | | | | | % 82.16/12.26 | | | | Case 2: % 82.16/12.26 | | | | | % 82.16/12.26 | | | | | (94) all_8_15 = e3 | all_8_23 = e3 % 82.16/12.26 | | | | | % 82.16/12.26 | | | | | BETA: splitting (35) gives: % 82.16/12.26 | | | | | % 82.16/12.26 | | | | | Case 1: % 82.16/12.26 | | | | | | % 82.16/12.26 | | | | | | (95) all_6_3 = e2 % 82.16/12.26 | | | | | | % 82.16/12.26 | | | | | | COMBINE_EQS: (56), (95) imply: % 82.16/12.26 | | | | | | (96) all_4_15 = e2 % 82.16/12.26 | | | | | | % 82.16/12.26 | | | | | | SIMP: (96) implies: % 82.16/12.26 | | | | | | (97) all_4_15 = e2 % 82.16/12.26 | | | | | | % 82.16/12.26 | | | | | | REDUCE: (40), (97) imply: % 82.16/12.26 | | | | | | (98) ~ (all_4_19 = e2) % 82.16/12.26 | | | | | | % 82.16/12.26 | | | | | | SIMP: (98) implies: % 82.16/12.26 | | | | | | (99) ~ (all_4_19 = e2) % 82.16/12.26 | | | | | | % 82.16/12.26 | | | | | | BETA: splitting (45) gives: % 82.16/12.26 | | | | | | % 82.16/12.26 | | | | | | Case 1: % 82.16/12.26 | | | | | | | % 82.16/12.26 | | | | | | | (100) all_8_2 = e3 % 82.16/12.26 | | | | | | | % 82.16/12.26 | | | | | | | REF_CLOSE: (52), (84), (100) are inconsistent by sub-proof #94. % 82.16/12.26 | | | | | | | % 82.16/12.26 | | | | | | Case 2: % 82.16/12.26 | | | | | | | % 82.16/12.26 | | | | | | | (101) all_8_3 = e3 | all_8_5 = e3 | all_8_10 = e3 | all_8_17 = % 82.16/12.26 | | | | | | | e3 % 82.16/12.26 | | | | | | | % 82.16/12.26 | | | | | | | BETA: splitting (101) gives: % 82.16/12.26 | | | | | | | % 82.16/12.26 | | | | | | | Case 1: % 82.16/12.26 | | | | | | | | % 82.16/12.26 | | | | | | | | (102) all_8_3 = e3 % 82.16/12.26 | | | | | | | | % 82.16/12.26 | | | | | | | | COMBINE_EQS: (55), (102) imply: % 82.16/12.26 | | | | | | | | (103) all_4_6 = e3 % 82.16/12.26 | | | | | | | | % 82.16/12.26 | | | | | | | | REDUCE: (78), (103) imply: % 82.16/12.26 | | | | | | | | (104) $false % 82.16/12.26 | | | | | | | | % 82.16/12.26 | | | | | | | | CLOSE: (104) is inconsistent. % 82.16/12.26 | | | | | | | | % 82.16/12.26 | | | | | | | Case 2: % 82.16/12.26 | | | | | | | | % 82.16/12.26 | | | | | | | | (105) all_8_5 = e3 | all_8_10 = e3 | all_8_17 = e3 % 82.16/12.26 | | | | | | | | % 82.16/12.26 | | | | | | | | BETA: splitting (105) gives: % 82.16/12.26 | | | | | | | | % 82.16/12.26 | | | | | | | | Case 1: % 82.16/12.26 | | | | | | | | | % 82.16/12.26 | | | | | | | | | (106) all_8_5 = e3 % 82.16/12.26 | | | | | | | | | % 82.16/12.26 | | | | | | | | | COMBINE_EQS: (63), (106) imply: % 82.16/12.26 | | | | | | | | | (107) all_4_11 = e3 % 82.16/12.26 | | | | | | | | | % 82.16/12.26 | | | | | | | | | REDUCE: (25), (107) imply: % 82.16/12.26 | | | | | | | | | (108) $false % 82.16/12.26 | | | | | | | | | % 82.16/12.26 | | | | | | | | | CLOSE: (108) is inconsistent. % 82.16/12.26 | | | | | | | | | % 82.16/12.26 | | | | | | | | Case 2: % 82.16/12.26 | | | | | | | | | % 82.16/12.26 | | | | | | | | | (109) all_8_10 = e3 | all_8_17 = e3 % 82.16/12.26 | | | | | | | | | % 82.16/12.26 | | | | | | | | | BETA: splitting (109) gives: % 82.16/12.26 | | | | | | | | | % 82.16/12.26 | | | | | | | | | Case 1: % 82.16/12.26 | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | (110) all_8_10 = e3 % 82.16/12.26 | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | COMBINE_EQS: (21), (110) imply: % 82.16/12.26 | | | | | | | | | | (111) e4 = e3 % 82.16/12.26 | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | REDUCE: (83), (111) imply: % 82.16/12.26 | | | | | | | | | | (112) $false % 82.16/12.26 | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | CLOSE: (112) is inconsistent. % 82.16/12.26 | | | | | | | | | | % 82.16/12.26 | | | | | | | | | Case 2: % 82.16/12.26 | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | (113) all_8_17 = e3 % 82.16/12.26 | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | COMBINE_EQS: (50), (113) imply: % 82.16/12.26 | | | | | | | | | | (114) all_4_21 = e3 % 82.16/12.26 | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | SIMP: (114) implies: % 82.16/12.26 | | | | | | | | | | (115) all_4_21 = e3 % 82.16/12.26 | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | COMBINE_EQS: (37), (115) imply: % 82.16/12.26 | | | | | | | | | | (116) all_10_61 = e3 % 82.16/12.26 | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | BETA: splitting (94) gives: % 82.16/12.26 | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | Case 1: % 82.16/12.26 | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | (117) all_8_15 = e3 % 82.16/12.26 | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | COMBINE_EQS: (6), (117) imply: % 82.16/12.26 | | | | | | | | | | | (118) all_4_18 = e3 % 82.16/12.26 | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | SIMP: (118) implies: % 82.16/12.26 | | | | | | | | | | | (119) all_4_18 = e3 % 82.16/12.26 | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | REDUCE: (43), (119) imply: % 82.16/12.26 | | | | | | | | | | | (120) $false % 82.16/12.26 | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | CLOSE: (120) is inconsistent. % 82.16/12.26 | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | Case 2: % 82.16/12.26 | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | (121) all_8_23 = e3 % 82.16/12.26 | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | COMBINE_EQS: (67), (121) imply: % 82.16/12.26 | | | | | | | | | | | (122) all_4_19 = e3 % 82.16/12.26 | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | SIMP: (122) implies: % 82.16/12.26 | | | | | | | | | | | (123) all_4_19 = e3 % 82.16/12.26 | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | REDUCE: (38), (123) imply: % 82.16/12.26 | | | | | | | | | | | (124) ~ (all_4_9 = e3) % 82.16/12.26 | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | REDUCE: (8), (123) imply: % 82.16/12.26 | | | | | | | | | | | (125) ~ (all_4_24 = e3) % 82.16/12.26 | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | SIMP: (125) implies: % 82.16/12.26 | | | | | | | | | | | (126) ~ (all_4_24 = e3) % 82.16/12.26 | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | REDUCE: (99), (123) imply: % 82.16/12.26 | | | | | | | | | | | (127) ~ (e3 = e2) % 82.16/12.26 | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | BETA: splitting (16) gives: % 82.16/12.26 | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | Case 1: % 82.16/12.26 | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | (128) ~ (all_10_33 = e0) % 82.16/12.26 | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | REDUCE: (71), (128) imply: % 82.16/12.26 | | | | | | | | | | | | (129) ~ (all_4_11 = e0) % 82.16/12.26 | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | BETA: splitting (19) gives: % 82.16/12.26 | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | Case 1: % 82.16/12.26 | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | (130) ~ (all_10_27 = e0) % 82.16/12.26 | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | REDUCE: (23), (130) imply: % 82.16/12.26 | | | | | | | | | | | | | (131) ~ (all_4_9 = e0) % 82.16/12.26 | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | BETA: splitting (26) gives: % 82.16/12.26 | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | Case 1: % 82.16/12.26 | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | (132) all_8_20 = e0 % 82.16/12.26 | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | REF_CLOSE: (57), (72), (132) are inconsistent by sub-proof % 82.16/12.26 | | | | | | | | | | | | | | #54. % 82.16/12.26 | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | Case 2: % 82.16/12.26 | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | (133) all_8_21 = e0 | all_8_22 = e0 | all_8_23 = e0 % 82.16/12.26 | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | BETA: splitting (5) gives: % 82.16/12.26 | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | Case 1: % 82.16/12.26 | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | (134) all_6_7 = e2 % 82.16/12.26 | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | COMBINE_EQS: (4), (134) imply: % 82.16/12.26 | | | | | | | | | | | | | | | (135) all_4_11 = e2 % 82.16/12.26 | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | REDUCE: (51), (135) imply: % 82.16/12.26 | | | | | | | | | | | | | | | (136) op(e2, e2) = all_10_31 % 82.16/12.26 | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | BETA: splitting (133) gives: % 82.16/12.26 | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | Case 1: % 82.16/12.26 | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | (137) all_8_21 = e0 % 82.16/12.26 | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | REF_CLOSE: (22), (131), (137) are inconsistent by sub-proof % 82.16/12.26 | | | | | | | | | | | | | | | | #95. % 82.16/12.26 | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | Case 2: % 82.16/12.26 | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | (138) all_8_22 = e0 | all_8_23 = e0 % 82.16/12.26 | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | BETA: splitting (138) gives: % 82.16/12.26 | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | Case 1: % 82.16/12.26 | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | (139) all_8_22 = e0 % 82.16/12.26 | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | COMBINE_EQS: (53), (139) imply: % 82.16/12.26 | | | | | | | | | | | | | | | | | (140) all_4_14 = e0 % 82.16/12.26 | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | SIMP: (140) implies: % 82.16/12.26 | | | | | | | | | | | | | | | | | (141) all_4_14 = e0 % 82.16/12.26 | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | COMBINE_EQS: (31), (141) imply: % 82.16/12.26 | | | | | | | | | | | | | | | | | (142) all_10_41 = e0 % 82.16/12.26 | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | REDUCE: (49), (141) imply: % 82.16/12.26 | | | | | | | | | | | | | | | | | (143) op(e0, e0) = all_10_40 % 82.16/12.26 | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | BETA: splitting (12) gives: % 82.16/12.26 | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | Case 1: % 82.16/12.26 | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | (144) ~ (all_10_41 = e0) % 82.16/12.26 | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | REDUCE: (142), (144) imply: % 82.16/12.26 | | | | | | | | | | | | | | | | | | (145) $false % 82.16/12.26 | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | CLOSE: (145) is inconsistent. % 82.16/12.26 | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | Case 2: % 82.16/12.26 | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | (146) all_10_69 = e2 & ~ (unit = e0) % 82.16/12.26 | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | ALPHA: (146) implies: % 82.16/12.26 | | | | | | | | | | | | | | | | | | (147) all_10_69 = e2 % 82.16/12.26 | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (28), (147) imply: % 82.16/12.26 | | | | | | | | | | | | | | | | | | (148) all_4_24 = e2 % 82.16/12.26 | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | SIMP: (148) implies: % 82.16/12.26 | | | | | | | | | | | | | | | | | | (149) all_4_24 = e2 % 82.16/12.26 | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | REDUCE: (18), (149) imply: % 82.16/12.26 | | | | | | | | | | | | | | | | | | (150) ~ (all_4_9 = e2) % 82.16/12.26 | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | REDUCE: (27), (149) imply: % 82.16/12.26 | | | | | | | | | | | | | | | | | | (151) op(e0, e0) = e2 % 82.16/12.26 | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | BETA: splitting (11) gives: % 82.16/12.26 | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | Case 1: % 82.16/12.26 | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | (152) all_6_21 = e4 % 82.16/12.26 | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (69), (152) are inconsistent by sub-proof % 82.16/12.26 | | | | | | | | | | | | | | | | | | | #44. % 82.16/12.26 | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | Case 2: % 82.16/12.26 | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | (153) all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | all_6_21 = e0 % 82.16/12.26 | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | BETA: splitting (61) gives: % 82.16/12.26 | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | Case 1: % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | (154) all_8_20 = e1 % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (57), (59), (154) are inconsistent by sub-proof % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | #33. % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | Case 2: % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | (155) all_8_21 = e1 | all_8_22 = e1 | all_8_23 = e1 | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | all_8_24 = e1 % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | BETA: splitting (155) gives: % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | Case 1: % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | (156) all_8_21 = e1 % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (22), (156) imply: % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | (157) all_4_9 = e1 % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | SIMP: (157) implies: % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | (158) all_4_9 = e1 % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (158) imply: % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | (159) ~ (all_4_7 = e1) % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives: % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | (160) all_6_11 = e2 % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (7), (160) imply: % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | (161) all_4_7 = e2 % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | SIMP: (161) implies: % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | (162) all_4_7 = e2 % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (33), (162) imply: % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | (163) all_10_36 = e2 % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (162) imply: % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | (164) ~ (e2 = e1) % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (60), (162) imply: % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | (165) op(e2, e2) = all_10_20 % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (32), (46), (48), (70), (83), (136), (143), % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | (151), (163), (164), (165) are inconsistent by % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | sub-proof #53. % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | (166) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0 % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (7), (80), (159), (166) are inconsistent by % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | sub-proof #126. % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | End of split % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | Case 2: % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | (167) ~ (all_8_21 = e1) % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | REDUCE: (22), (167) imply: % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | (168) ~ (all_4_9 = e1) % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (153) gives: % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | Case 1: % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | (169) all_6_21 = e2 % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (150), (169) are inconsistent by sub-proof % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | #42. % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | Case 2: % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | (170) all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0 % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (44), (124), (131), (168), (170) are inconsistent % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #39. % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | End of split % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | End of split % 82.16/12.26 | | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | | End of split % 82.16/12.26 | | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | | End of split % 82.16/12.26 | | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | End of split % 82.16/12.26 | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | Case 2: % 82.16/12.26 | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | (171) all_8_23 = e0 % 82.16/12.26 | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | | REF_CLOSE: (58), (121), (171) are inconsistent by sub-proof % 82.16/12.26 | | | | | | | | | | | | | | | | | #48. % 82.16/12.26 | | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | End of split % 82.16/12.26 | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | End of split % 82.16/12.26 | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | Case 2: % 82.16/12.26 | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | (172) all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0 % 82.16/12.26 | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | BETA: splitting (172) gives: % 82.16/12.26 | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | Case 1: % 82.16/12.26 | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | (173) all_6_7 = e3 % 82.16/12.26 | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (25), (173) are inconsistent by sub-proof % 82.16/12.26 | | | | | | | | | | | | | | | | #38. % 82.16/12.26 | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | Case 2: % 82.16/12.26 | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | (174) all_6_7 = e1 | all_6_7 = e0 % 82.16/12.26 | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (13), (129), (174) are inconsistent by % 82.16/12.26 | | | | | | | | | | | | | | | | sub-proof #73. % 82.16/12.26 | | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | | End of split % 82.16/12.26 | | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | | End of split % 82.16/12.26 | | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | End of split % 82.16/12.26 | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | Case 2: % 82.16/12.26 | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | (175) all_10_69 = e3 & ~ (unit = e0) % 82.16/12.26 | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | | REF_CLOSE: (28), (126), (175) are inconsistent by sub-proof % 82.16/12.26 | | | | | | | | | | | | | #75. % 82.16/12.26 | | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | End of split % 82.16/12.26 | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | Case 2: % 82.16/12.26 | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | (176) all_10_61 = e2 & ~ (unit = e0) % 82.16/12.26 | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | ALPHA: (176) implies: % 82.16/12.26 | | | | | | | | | | | | (177) all_10_61 = e2 % 82.16/12.26 | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | COMBINE_EQS: (116), (177) imply: % 82.16/12.26 | | | | | | | | | | | | (178) e3 = e2 % 82.16/12.26 | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | REDUCE: (127), (178) imply: % 82.16/12.26 | | | | | | | | | | | | (179) $false % 82.16/12.26 | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | | CLOSE: (179) is inconsistent. % 82.16/12.26 | | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | | End of split % 82.16/12.26 | | | | | | | | | | | % 82.16/12.26 | | | | | | | | | | End of split % 82.16/12.26 | | | | | | | | | | % 82.16/12.26 | | | | | | | | | End of split % 82.16/12.26 | | | | | | | | | % 82.16/12.26 | | | | | | | | End of split % 82.16/12.26 | | | | | | | | % 82.16/12.26 | | | | | | | End of split % 82.16/12.26 | | | | | | | % 82.16/12.26 | | | | | | End of split % 82.16/12.26 | | | | | | % 82.16/12.26 | | | | | Case 2: % 82.16/12.26 | | | | | | % 82.16/12.26 | | | | | | (180) all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0 % 82.16/12.26 | | | | | | % 82.16/12.26 | | | | | | REF_CLOSE: (17), (36), (56), (65), (180) are inconsistent by % 82.16/12.26 | | | | | | sub-proof #32. % 82.16/12.26 | | | | | | % 82.16/12.26 | | | | | End of split % 82.16/12.26 | | | | | % 82.16/12.26 | | | | End of split % 82.16/12.26 | | | | % 82.16/12.26 | | | End of split % 82.16/12.26 | | | % 82.16/12.26 | | Case 2: % 82.16/12.26 | | | % 82.16/12.26 | | | (181) ~ (all_8_1 = e3) % 82.16/12.26 | | | % 82.16/12.26 | | | REDUCE: (30), (181) imply: % 82.16/12.26 | | | (182) ~ (all_4_5 = e3) % 82.16/12.26 | | | % 82.16/12.26 | | | BETA: splitting (35) gives: % 82.16/12.26 | | | % 82.16/12.26 | | | Case 1: % 82.16/12.26 | | | | % 82.16/12.26 | | | | (183) all_6_3 = e2 % 82.16/12.26 | | | | % 82.16/12.26 | | | | COMBINE_EQS: (56), (183) imply: % 82.16/12.26 | | | | (184) all_4_15 = e2 % 82.16/12.26 | | | | % 82.16/12.26 | | | | REDUCE: (14), (184) imply: % 82.16/12.26 | | | | (185) ~ (all_4_5 = e2) % 82.16/12.26 | | | | % 82.16/12.26 | | | | BETA: splitting (42) gives: % 82.16/12.26 | | | | % 82.16/12.26 | | | | Case 1: % 82.16/12.26 | | | | | % 82.16/12.26 | | | | | (186) all_6_1 = e2 % 82.16/12.26 | | | | | % 82.16/12.26 | | | | | COMBINE_EQS: (66), (186) imply: % 82.16/12.27 | | | | | (187) all_4_5 = e2 % 82.16/12.27 | | | | | % 82.16/12.27 | | | | | SIMP: (187) implies: % 82.16/12.27 | | | | | (188) all_4_5 = e2 % 82.16/12.27 | | | | | % 82.16/12.27 | | | | | REDUCE: (185), (188) imply: % 82.16/12.27 | | | | | (189) $false % 82.16/12.27 | | | | | % 82.16/12.27 | | | | | CLOSE: (189) is inconsistent. % 82.16/12.27 | | | | | % 82.16/12.27 | | | | Case 2: % 82.16/12.27 | | | | | % 82.16/12.27 | | | | | (190) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0 % 82.16/12.27 | | | | | % 82.16/12.27 | | | | | REF_CLOSE: (15), (64), (66), (182), (190) are inconsistent by % 82.16/12.27 | | | | | sub-proof #34. % 82.16/12.27 | | | | | % 82.16/12.27 | | | | End of split % 82.16/12.27 | | | | % 82.16/12.27 | | | Case 2: % 82.16/12.27 | | | | % 82.16/12.27 | | | | (191) all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0 % 82.16/12.27 | | | | % 82.16/12.27 | | | | REF_CLOSE: (17), (36), (56), (65), (191) are inconsistent by sub-proof % 82.16/12.27 | | | | #32. % 82.16/12.27 | | | | % 82.16/12.27 | | | End of split % 82.16/12.27 | | | % 82.16/12.27 | | End of split % 82.16/12.27 | | % 82.16/12.27 | End of split % 82.16/12.27 | % 82.16/12.27 End of proof % 82.16/12.27 % 82.16/12.27 Sub-proof #32 shows that the following formulas are inconsistent: % 82.16/12.27 ---------------------------------------------------------------- % 82.16/12.27 (1) ~ (all_4_15 = e1) % 82.16/12.27 (2) ~ (all_4_15 = e3) % 82.16/12.27 (3) all_6_3 = all_4_15 % 82.16/12.27 (4) ~ (all_4_15 = e0) % 82.16/12.27 (5) all_6_3 = e3 | all_6_3 = e1 | all_6_3 = e0 % 82.16/12.27 % 82.16/12.27 Begin of proof % 82.16/12.27 | % 82.16/12.27 | BETA: splitting (5) gives: % 82.16/12.27 | % 82.16/12.27 | Case 1: % 82.16/12.27 | | % 82.16/12.27 | | (6) all_6_3 = e3 % 82.16/12.27 | | % 82.16/12.27 | | COMBINE_EQS: (3), (6) imply: % 82.16/12.27 | | (7) all_4_15 = e3 % 82.16/12.27 | | % 82.16/12.27 | | REDUCE: (2), (7) imply: % 82.16/12.27 | | (8) $false % 82.16/12.27 | | % 82.16/12.27 | | CLOSE: (8) is inconsistent. % 82.16/12.27 | | % 82.16/12.27 | Case 2: % 82.16/12.27 | | % 82.16/12.27 | | (9) all_6_3 = e1 | all_6_3 = e0 % 82.16/12.27 | | % 82.16/12.27 | | REF_CLOSE: (1), (3), (4), (9) are inconsistent by sub-proof #63. % 82.16/12.27 | | % 82.16/12.27 | End of split % 82.16/12.27 | % 82.16/12.27 End of proof % 82.16/12.27 % 82.16/12.27 Sub-proof #33 shows that the following formulas are inconsistent: % 82.16/12.27 ---------------------------------------------------------------- % 82.16/12.27 (1) all_8_20 = e4 % 82.16/12.27 (2) all_8_20 = e1 % 82.16/12.27 (3) ~ (e4 = e1) % 82.16/12.27 % 82.16/12.27 Begin of proof % 82.16/12.27 | % 82.16/12.27 | COMBINE_EQS: (1), (2) imply: % 82.16/12.27 | (4) e4 = e1 % 82.16/12.27 | % 82.16/12.27 | SIMP: (4) implies: % 82.16/12.27 | (5) e4 = e1 % 82.16/12.27 | % 82.16/12.27 | REDUCE: (3), (5) imply: % 82.16/12.27 | (6) $false % 82.16/12.27 | % 82.16/12.27 | CLOSE: (6) is inconsistent. % 82.16/12.27 | % 82.16/12.27 End of proof % 82.16/12.27 % 82.16/12.27 Sub-proof #34 shows that the following formulas are inconsistent: % 82.16/12.27 ---------------------------------------------------------------- % 82.16/12.27 (1) ~ (all_4_5 = e1) % 82.16/12.27 (2) ~ (all_4_5 = e3) % 82.16/12.27 (3) all_6_1 = e3 | all_6_1 = e1 | all_6_1 = e0 % 82.16/12.27 (4) ~ (all_4_5 = e0) % 82.16/12.27 (5) all_6_1 = all_4_5 % 82.16/12.27 % 82.16/12.27 Begin of proof % 82.16/12.27 | % 82.16/12.27 | BETA: splitting (3) gives: % 82.16/12.27 | % 82.16/12.27 | Case 1: % 82.16/12.27 | | % 82.16/12.27 | | (6) all_6_1 = e3 % 82.16/12.27 | | % 82.16/12.27 | | COMBINE_EQS: (5), (6) imply: % 82.16/12.27 | | (7) all_4_5 = e3 % 82.16/12.27 | | % 82.16/12.27 | | SIMP: (7) implies: % 82.16/12.27 | | (8) all_4_5 = e3 % 82.16/12.27 | | % 82.16/12.27 | | REDUCE: (2), (8) imply: % 82.16/12.27 | | (9) $false % 82.16/12.27 | | % 82.16/12.27 | | CLOSE: (9) is inconsistent. % 82.16/12.27 | | % 82.16/12.27 | Case 2: % 82.16/12.27 | | % 82.57/12.27 | | (10) all_6_1 = e1 | all_6_1 = e0 % 82.57/12.27 | | % 82.57/12.27 | | BETA: splitting (10) gives: % 82.57/12.27 | | % 82.57/12.27 | | Case 1: % 82.57/12.27 | | | % 82.57/12.27 | | | (11) all_6_1 = e1 % 82.57/12.27 | | | % 82.57/12.27 | | | COMBINE_EQS: (5), (11) imply: % 82.57/12.27 | | | (12) all_4_5 = e1 % 82.57/12.27 | | | % 82.57/12.27 | | | SIMP: (12) implies: % 82.57/12.27 | | | (13) all_4_5 = e1 % 82.57/12.27 | | | % 82.57/12.27 | | | REDUCE: (1), (13) imply: % 82.57/12.27 | | | (14) $false % 82.57/12.27 | | | % 82.57/12.27 | | | CLOSE: (14) is inconsistent. % 82.57/12.27 | | | % 82.57/12.27 | | Case 2: % 82.57/12.27 | | | % 82.57/12.27 | | | (15) all_6_1 = e0 % 82.57/12.27 | | | % 82.57/12.27 | | | COMBINE_EQS: (5), (15) imply: % 82.57/12.27 | | | (16) all_4_5 = e0 % 82.57/12.27 | | | % 82.57/12.27 | | | SIMP: (16) implies: % 82.57/12.27 | | | (17) all_4_5 = e0 % 82.57/12.27 | | | % 82.57/12.27 | | | REDUCE: (4), (17) imply: % 82.57/12.27 | | | (18) $false % 82.57/12.27 | | | % 82.57/12.27 | | | CLOSE: (18) is inconsistent. % 82.57/12.27 | | | % 82.57/12.27 | | End of split % 82.57/12.27 | | % 82.57/12.27 | End of split % 82.57/12.27 | % 82.57/12.27 End of proof % 82.57/12.27 % 82.57/12.27 Sub-proof #35 shows that the following formulas are inconsistent: % 82.57/12.27 ---------------------------------------------------------------- % 82.57/12.27 (1) all_6_17 = e1 | all_6_17 = e0 % 82.57/12.27 (2) all_6_17 = all_4_13 % 82.57/12.27 (3) ~ (all_4_13 = e1) % 82.57/12.27 (4) ~ (all_4_13 = e0) % 82.57/12.27 % 82.57/12.27 Begin of proof % 82.57/12.27 | % 82.57/12.27 | BETA: splitting (1) gives: % 82.57/12.27 | % 82.57/12.27 | Case 1: % 82.57/12.27 | | % 82.57/12.27 | | (5) all_6_17 = e1 % 82.57/12.27 | | % 82.57/12.27 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #93. % 82.57/12.27 | | % 82.57/12.27 | Case 2: % 82.57/12.27 | | % 82.57/12.27 | | (6) all_6_17 = e0 % 82.57/12.27 | | % 82.57/12.27 | | REF_CLOSE: (2), (4), (6) are inconsistent by sub-proof #92. % 82.57/12.27 | | % 82.57/12.27 | End of split % 82.57/12.27 | % 82.57/12.27 End of proof % 82.57/12.27 % 82.57/12.27 Sub-proof #36 shows that the following formulas are inconsistent: % 82.57/12.27 ---------------------------------------------------------------- % 82.57/12.27 (1) ~ (all_4_21 = e1) % 82.57/12.27 (2) all_6_7 = all_4_11 % 82.57/12.27 (3) all_6_7 = e3 | all_6_7 = e2 | all_6_7 = e1 | all_6_7 = e0 % 82.57/12.27 (4) op(e3, all_4_21) = all_10_60 % 82.57/12.27 (5) all_8_20 = e3 | all_8_21 = e3 | all_8_22 = e3 | all_8_23 = e3 | all_8_24 % 82.57/12.27 = e3 % 82.57/12.27 (6) all_6_21 = e4 | all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 | all_6_21 % 82.57/12.27 = e0 % 82.57/12.27 (7) ~ (all_10_60 = e0) % 82.57/12.27 (8) op(e0, all_4_21) = e3 % 82.57/12.27 (9) all_8_16 = e2 | all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 | all_8_24 % 82.57/12.27 = e2 % 82.57/12.27 (10) ~ (all_4_11 = e1) % 82.57/12.27 (11) ~ (all_4_9 = e1) % 82.57/12.27 (12) all_8_2 = e0 | all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | all_8_17 = % 82.57/12.27 e0 % 82.57/12.27 (13) all_6_22 = all_4_14 % 82.57/12.27 (14) op(e0, e2) = all_4_14 % 82.57/12.27 (15) ~ (all_10_33 = e0) | (all_10_61 = e2 & ~ (unit = e0)) % 82.57/12.27 (16) ~ (all_4_9 = all_4_24) % 82.57/12.27 (17) ~ (all_10_27 = e0) | (all_10_69 = e3 & ~ (unit = e0)) % 82.57/12.27 (18) ~ (all_4_11 = all_4_21) % 82.57/12.27 (19) all_8_10 = e4 % 82.57/12.27 (20) ~ (all_4_14 = e1) % 82.57/12.27 (21) all_8_21 = all_4_9 % 82.57/12.27 (22) all_10_27 = all_4_9 % 82.57/12.27 (23) ~ (all_4_11 = e3) % 82.57/12.27 (24) op(e0, e0) = all_4_24 % 82.57/12.27 (25) op(e3, all_4_9) = all_10_25 % 82.57/12.27 (26) all_8_16 = e4 % 82.57/12.27 (27) all_10_69 = all_4_24 % 82.57/12.27 (28) ~ (all_4_21 = e0) % 82.57/12.27 (29) all_6_24 = e3 | all_6_24 = e2 | all_6_24 = e1 | all_6_24 = e0 % 82.57/12.27 (30) all_6_9 = e3 | all_6_9 = e2 | all_6_9 = e1 | all_6_9 = e0 % 82.57/12.27 (31) ~ (all_4_14 = e4) % 82.57/12.27 (32) ~ (all_4_24 = e0) % 82.57/12.27 (33) all_10_61 = all_4_21 % 82.57/12.27 (34) ~ (all_4_11 = all_4_14) % 82.57/12.27 (35) ~ (all_4_14 = all_4_24) % 82.57/12.27 (36) op(e0, e0) = all_10_62 % 82.57/12.27 (37) all_6_21 = all_4_9 % 82.57/12.27 (38) ~ (e4 = e3) % 82.57/12.27 (39) ~ (all_4_21 = all_4_24) % 82.57/12.27 (40) all_6_9 = all_4_21 % 82.57/12.27 (41) all_6_22 = e4 | all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e1 | all_6_22 % 82.57/12.27 = e0 % 82.57/12.27 (42) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 82.57/12.27 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 82.57/12.27 (43) ~ (all_4_24 = e1) % 82.57/12.27 (44) ~ (all_4_14 = e3) % 82.57/12.27 (45) op(e0, all_4_14) = all_10_40 % 82.57/12.27 (46) all_8_17 = all_4_21 % 82.57/12.27 (47) all_8_2 = e1 % 82.57/12.27 (48) all_8_3 = all_4_6 % 82.57/12.27 (49) all_8_20 = e4 % 82.57/12.27 (50) op(e3, e3) = all_4_6 % 82.57/12.27 (51) all_6_24 = all_4_24 % 82.57/12.27 (52) all_8_5 = all_4_11 % 82.57/12.27 (53) ~ (all_4_9 = e4) % 82.57/12.27 (54) ~ (e4 = e2) % 82.57/12.27 (55) all_10_33 = all_4_11 % 82.57/12.27 (56) ~ (e4 = e0) % 82.57/12.27 (57) ~ (e1 = e0) % 82.57/12.27 % 82.57/12.27 Begin of proof % 82.57/12.27 | % 82.57/12.27 | GROUND_INST: instantiating (42) with all_4_24, all_10_62, e0, e0, simplifying % 82.57/12.27 | with (24), (36) gives: % 82.57/12.27 | (58) all_10_62 = all_4_24 % 82.57/12.27 | % 82.57/12.27 | BETA: splitting (6) gives: % 82.57/12.27 | % 82.57/12.27 | Case 1: % 82.57/12.27 | | % 82.57/12.27 | | (59) all_6_21 = e4 % 82.57/12.27 | | % 82.57/12.27 | | REF_CLOSE: (37), (53), (59) are inconsistent by sub-proof #44. % 82.57/12.27 | | % 82.57/12.27 | Case 2: % 82.57/12.27 | | % 82.57/12.27 | | (60) all_6_21 = e3 | all_6_21 = e2 | all_6_21 = e1 | all_6_21 = e0 % 82.57/12.27 | | % 82.57/12.27 | | BETA: splitting (41) gives: % 82.57/12.27 | | % 82.57/12.27 | | Case 1: % 82.57/12.27 | | | % 82.57/12.27 | | | (61) all_6_22 = e4 % 82.57/12.27 | | | % 82.57/12.27 | | | COMBINE_EQS: (13), (61) imply: % 82.57/12.27 | | | (62) all_4_14 = e4 % 82.57/12.27 | | | % 82.57/12.27 | | | REDUCE: (31), (62) imply: % 82.57/12.27 | | | (63) $false % 82.57/12.27 | | | % 82.57/12.27 | | | CLOSE: (63) is inconsistent. % 82.57/12.27 | | | % 82.57/12.27 | | Case 2: % 82.57/12.27 | | | % 82.57/12.27 | | | (64) all_6_22 = e3 | all_6_22 = e2 | all_6_22 = e1 | all_6_22 = e0 % 82.57/12.27 | | | % 82.57/12.27 | | | BETA: splitting (9) gives: % 82.57/12.27 | | | % 82.57/12.27 | | | Case 1: % 82.57/12.27 | | | | % 82.57/12.27 | | | | (65) all_8_16 = e2 % 82.57/12.27 | | | | % 82.57/12.27 | | | | REF_CLOSE: (26), (54), (65) are inconsistent by sub-proof #61. % 82.57/12.27 | | | | % 82.57/12.27 | | | Case 2: % 82.57/12.27 | | | | % 82.57/12.27 | | | | (66) all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 | all_8_24 = e2 % 82.57/12.27 | | | | % 82.57/12.27 | | | | BETA: splitting (5) gives: % 82.57/12.27 | | | | % 82.57/12.27 | | | | Case 1: % 82.57/12.27 | | | | | % 82.57/12.27 | | | | | (67) all_8_20 = e3 % 82.57/12.27 | | | | | % 82.57/12.27 | | | | | REF_CLOSE: (38), (49), (67) are inconsistent by sub-proof #43. % 82.57/12.27 | | | | | % 82.57/12.27 | | | | Case 2: % 82.57/12.27 | | | | | % 82.57/12.27 | | | | | (68) all_8_21 = e3 | all_8_22 = e3 | all_8_23 = e3 | all_8_24 = e3 % 82.57/12.27 | | | | | % 82.57/12.27 | | | | | BETA: splitting (12) gives: % 82.57/12.27 | | | | | % 82.57/12.27 | | | | | Case 1: % 82.57/12.27 | | | | | | % 82.57/12.27 | | | | | | (69) all_8_2 = e0 % 82.57/12.27 | | | | | | % 82.57/12.27 | | | | | | COMBINE_EQS: (47), (69) imply: % 82.57/12.27 | | | | | | (70) e1 = e0 % 82.57/12.27 | | | | | | % 82.57/12.27 | | | | | | REDUCE: (57), (70) imply: % 82.57/12.27 | | | | | | (71) $false % 82.57/12.27 | | | | | | % 82.57/12.27 | | | | | | CLOSE: (71) is inconsistent. % 82.57/12.27 | | | | | | % 82.57/12.27 | | | | | Case 2: % 82.57/12.27 | | | | | | % 82.57/12.27 | | | | | | (72) all_8_3 = e0 | all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0 % 82.57/12.27 | | | | | | % 82.57/12.27 | | | | | | BETA: splitting (3) gives: % 82.57/12.27 | | | | | | % 82.57/12.27 | | | | | | Case 1: % 82.57/12.27 | | | | | | | % 82.57/12.27 | | | | | | | (73) all_6_7 = e2 % 82.57/12.27 | | | | | | | % 82.57/12.27 | | | | | | | COMBINE_EQS: (2), (73) imply: % 82.57/12.27 | | | | | | | (74) all_4_11 = e2 % 82.57/12.27 | | | | | | | % 82.57/12.27 | | | | | | | SIMP: (74) implies: % 82.57/12.27 | | | | | | | (75) all_4_11 = e2 % 82.57/12.27 | | | | | | | % 82.57/12.27 | | | | | | | COMBINE_EQS: (52), (75) imply: % 82.57/12.27 | | | | | | | (76) all_8_5 = e2 % 82.57/12.27 | | | | | | | % 82.57/12.27 | | | | | | | REDUCE: (18), (75) imply: % 82.57/12.27 | | | | | | | (77) ~ (all_4_21 = e2) % 82.57/12.27 | | | | | | | % 82.57/12.27 | | | | | | | SIMP: (77) implies: % 82.57/12.27 | | | | | | | (78) ~ (all_4_21 = e2) % 82.57/12.27 | | | | | | | % 82.57/12.27 | | | | | | | BETA: splitting (30) gives: % 82.57/12.27 | | | | | | | % 82.57/12.27 | | | | | | | Case 1: % 82.57/12.27 | | | | | | | | % 82.57/12.27 | | | | | | | | (79) all_6_9 = e2 % 82.57/12.27 | | | | | | | | % 82.57/12.27 | | | | | | | | REF_CLOSE: (40), (78), (79) are inconsistent by sub-proof #115. % 82.57/12.27 | | | | | | | | % 82.57/12.27 | | | | | | | Case 2: % 82.57/12.27 | | | | | | | | % 82.57/12.27 | | | | | | | | (80) all_6_9 = e3 | all_6_9 = e1 | all_6_9 = e0 % 82.57/12.27 | | | | | | | | % 82.57/12.27 | | | | | | | | BETA: splitting (80) gives: % 82.57/12.27 | | | | | | | | % 82.57/12.27 | | | | | | | | Case 1: % 82.57/12.27 | | | | | | | | | % 82.57/12.27 | | | | | | | | | (81) all_6_9 = e3 % 82.57/12.27 | | | | | | | | | % 82.57/12.27 | | | | | | | | | COMBINE_EQS: (40), (81) imply: % 82.57/12.27 | | | | | | | | | (82) all_4_21 = e3 % 82.57/12.27 | | | | | | | | | % 82.57/12.27 | | | | | | | | | SIMP: (82) implies: % 82.57/12.27 | | | | | | | | | (83) all_4_21 = e3 % 82.57/12.27 | | | | | | | | | % 82.57/12.27 | | | | | | | | | REDUCE: (39), (83) imply: % 82.57/12.27 | | | | | | | | | (84) ~ (all_4_24 = e3) % 82.57/12.27 | | | | | | | | | % 82.57/12.27 | | | | | | | | | SIMP: (84) implies: % 82.57/12.27 | | | | | | | | | (85) ~ (all_4_24 = e3) % 82.57/12.27 | | | | | | | | | % 82.57/12.27 | | | | | | | | | REDUCE: (4), (83) imply: % 82.57/12.27 | | | | | | | | | (86) op(e3, e3) = all_10_60 % 82.57/12.27 | | | | | | | | | % 82.57/12.27 | | | | | | | | | BETA: splitting (29) gives: % 82.57/12.27 | | | | | | | | | % 82.57/12.27 | | | | | | | | | Case 1: % 82.57/12.27 | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | (87) all_6_24 = e2 % 82.57/12.27 | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | COMBINE_EQS: (51), (87) imply: % 82.57/12.27 | | | | | | | | | | (88) all_4_24 = e2 % 82.57/12.27 | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | COMBINE_EQS: (27), (88) imply: % 82.57/12.27 | | | | | | | | | | (89) all_10_69 = e2 % 82.57/12.27 | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | REDUCE: (16), (88) imply: % 82.57/12.27 | | | | | | | | | | (90) ~ (all_4_9 = e2) % 82.57/12.27 | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | REDUCE: (85), (88) imply: % 82.57/12.27 | | | | | | | | | | (91) ~ (e3 = e2) % 82.57/12.27 | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | SIMP: (91) implies: % 82.57/12.27 | | | | | | | | | | (92) ~ (e3 = e2) % 82.57/12.27 | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | REDUCE: (32), (88) imply: % 82.57/12.27 | | | | | | | | | | (93) ~ (e2 = e0) % 82.57/12.27 | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | BETA: splitting (17) gives: % 82.57/12.27 | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | Case 1: % 82.57/12.27 | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | (94) ~ (all_10_27 = e0) % 82.57/12.27 | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | REDUCE: (22), (94) imply: % 82.57/12.27 | | | | | | | | | | | (95) ~ (all_4_9 = e0) % 82.57/12.27 | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | BETA: splitting (60) gives: % 82.57/12.27 | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | Case 1: % 82.57/12.27 | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | (96) all_6_21 = e2 % 82.57/12.27 | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | REF_CLOSE: (37), (90), (96) are inconsistent by sub-proof % 82.57/12.27 | | | | | | | | | | | | #42. % 82.57/12.27 | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | Case 2: % 82.57/12.27 | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | (97) all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0 % 82.57/12.27 | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | BETA: splitting (68) gives: % 82.57/12.27 | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | Case 1: % 82.57/12.27 | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | | (98) all_8_21 = e3 % 82.57/12.27 | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | | COMBINE_EQS: (21), (98) imply: % 82.57/12.27 | | | | | | | | | | | | | (99) all_4_9 = e3 % 82.57/12.27 | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | | SIMP: (99) implies: % 82.57/12.27 | | | | | | | | | | | | | (100) all_4_9 = e3 % 82.57/12.27 | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | | REDUCE: (25), (100) imply: % 82.57/12.27 | | | | | | | | | | | | | (101) op(e3, e3) = all_10_25 % 82.57/12.27 | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | | BETA: splitting (72) gives: % 82.57/12.27 | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | | Case 1: % 82.57/12.27 | | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | | | (102) all_8_3 = e0 % 82.57/12.27 | | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | | | COMBINE_EQS: (48), (102) imply: % 82.57/12.27 | | | | | | | | | | | | | | (103) all_4_6 = e0 % 82.57/12.27 | | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | | | SIMP: (103) implies: % 82.57/12.27 | | | | | | | | | | | | | | (104) all_4_6 = e0 % 82.57/12.27 | | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | | | REDUCE: (50), (104) imply: % 82.57/12.27 | | | | | | | | | | | | | | (105) op(e3, e3) = e0 % 82.57/12.27 | | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with all_10_60, all_10_25, e3, % 82.57/12.27 | | | | | | | | | | | | | | e3, simplifying with (86), (101) gives: % 82.57/12.27 | | | | | | | | | | | | | | (106) all_10_25 = all_10_60 % 82.57/12.27 | | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | | | GROUND_INST: instantiating (42) with e0, all_10_25, e3, e3, % 82.57/12.27 | | | | | | | | | | | | | | simplifying with (101), (105) gives: % 82.57/12.27 | | | | | | | | | | | | | | (107) all_10_25 = e0 % 82.57/12.27 | | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | | | COMBINE_EQS: (106), (107) imply: % 82.57/12.27 | | | | | | | | | | | | | | (108) all_10_60 = e0 % 82.57/12.27 | | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | | | SIMP: (108) implies: % 82.57/12.27 | | | | | | | | | | | | | | (109) all_10_60 = e0 % 82.57/12.27 | | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | | | REDUCE: (7), (109) imply: % 82.57/12.27 | | | | | | | | | | | | | | (110) $false % 82.57/12.27 | | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | | | CLOSE: (110) is inconsistent. % 82.57/12.27 | | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | | Case 2: % 82.57/12.27 | | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | | | (111) all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0 % 82.57/12.27 | | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | | | REF_CLOSE: (8), (19), (24), (42), (46), (56), (76), (85), % 82.57/12.27 | | | | | | | | | | | | | | (93), (111) are inconsistent by sub-proof #40. % 82.57/12.27 | | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | | End of split % 82.57/12.27 | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | Case 2: % 82.57/12.27 | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | | (112) ~ (all_8_21 = e3) % 82.57/12.27 | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | | REDUCE: (21), (112) imply: % 82.57/12.27 | | | | | | | | | | | | | (113) ~ (all_4_9 = e3) % 82.57/12.27 | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | | REF_CLOSE: (11), (37), (95), (97), (113) are inconsistent by % 82.57/12.27 | | | | | | | | | | | | | sub-proof #39. % 82.57/12.27 | | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | | End of split % 82.57/12.27 | | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | End of split % 82.57/12.27 | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | Case 2: % 82.57/12.27 | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | (114) all_10_69 = e3 & ~ (unit = e0) % 82.57/12.27 | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | ALPHA: (114) implies: % 82.57/12.27 | | | | | | | | | | | (115) all_10_69 = e3 % 82.57/12.27 | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | COMBINE_EQS: (89), (115) imply: % 82.57/12.27 | | | | | | | | | | | (116) e3 = e2 % 82.57/12.27 | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | SIMP: (116) implies: % 82.57/12.27 | | | | | | | | | | | (117) e3 = e2 % 82.57/12.27 | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | REDUCE: (92), (117) imply: % 82.57/12.27 | | | | | | | | | | | (118) $false % 82.57/12.27 | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | CLOSE: (118) is inconsistent. % 82.57/12.27 | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | End of split % 82.57/12.27 | | | | | | | | | | % 82.57/12.27 | | | | | | | | | Case 2: % 82.57/12.27 | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | (119) all_6_24 = e3 | all_6_24 = e1 | all_6_24 = e0 % 82.57/12.27 | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | REF_CLOSE: (32), (43), (51), (85), (119) are inconsistent by % 82.57/12.27 | | | | | | | | | | sub-proof #49. % 82.57/12.27 | | | | | | | | | | % 82.57/12.27 | | | | | | | | | End of split % 82.57/12.27 | | | | | | | | | % 82.57/12.27 | | | | | | | | Case 2: % 82.57/12.27 | | | | | | | | | % 82.57/12.27 | | | | | | | | | (120) all_6_9 = e1 | all_6_9 = e0 % 82.57/12.27 | | | | | | | | | % 82.57/12.27 | | | | | | | | | REF_CLOSE: (1), (28), (40), (120) are inconsistent by % 82.57/12.27 | | | | | | | | | sub-proof #107. % 82.57/12.27 | | | | | | | | | % 82.57/12.27 | | | | | | | | End of split % 82.57/12.27 | | | | | | | | % 82.57/12.27 | | | | | | | End of split % 82.57/12.27 | | | | | | | % 82.57/12.27 | | | | | | Case 2: % 82.57/12.27 | | | | | | | % 82.57/12.27 | | | | | | | (121) all_6_7 = e3 | all_6_7 = e1 | all_6_7 = e0 % 82.57/12.27 | | | | | | | % 82.57/12.27 | | | | | | | BETA: splitting (121) gives: % 82.57/12.27 | | | | | | | % 82.57/12.27 | | | | | | | Case 1: % 82.57/12.27 | | | | | | | | % 82.57/12.27 | | | | | | | | (122) all_6_7 = e3 % 82.57/12.27 | | | | | | | | % 82.57/12.27 | | | | | | | | REF_CLOSE: (2), (23), (122) are inconsistent by sub-proof #38. % 82.57/12.27 | | | | | | | | % 82.57/12.27 | | | | | | | Case 2: % 82.57/12.27 | | | | | | | | % 82.57/12.27 | | | | | | | | (123) all_6_7 = e1 | all_6_7 = e0 % 82.57/12.27 | | | | | | | | % 82.57/12.27 | | | | | | | | BETA: splitting (123) gives: % 82.57/12.27 | | | | | | | | % 82.57/12.27 | | | | | | | | Case 1: % 82.57/12.27 | | | | | | | | | % 82.57/12.27 | | | | | | | | | (124) all_6_7 = e1 % 82.57/12.27 | | | | | | | | | % 82.57/12.27 | | | | | | | | | REF_CLOSE: (2), (10), (124) are inconsistent by sub-proof #74. % 82.57/12.27 | | | | | | | | | % 82.57/12.27 | | | | | | | | Case 2: % 82.57/12.27 | | | | | | | | | % 82.57/12.27 | | | | | | | | | (125) all_6_7 = e0 % 82.57/12.27 | | | | | | | | | % 82.57/12.27 | | | | | | | | | COMBINE_EQS: (2), (125) imply: % 82.57/12.27 | | | | | | | | | (126) all_4_11 = e0 % 82.57/12.27 | | | | | | | | | % 82.57/12.27 | | | | | | | | | SIMP: (126) implies: % 82.57/12.27 | | | | | | | | | (127) all_4_11 = e0 % 82.57/12.27 | | | | | | | | | % 82.57/12.27 | | | | | | | | | COMBINE_EQS: (55), (127) imply: % 82.57/12.27 | | | | | | | | | (128) all_10_33 = e0 % 82.57/12.27 | | | | | | | | | % 82.57/12.27 | | | | | | | | | REDUCE: (34), (127) imply: % 82.57/12.27 | | | | | | | | | (129) ~ (all_4_14 = e0) % 82.57/12.27 | | | | | | | | | % 82.57/12.27 | | | | | | | | | SIMP: (129) implies: % 82.57/12.27 | | | | | | | | | (130) ~ (all_4_14 = e0) % 82.57/12.27 | | | | | | | | | % 82.57/12.27 | | | | | | | | | BETA: splitting (64) gives: % 82.57/12.27 | | | | | | | | | % 82.57/12.27 | | | | | | | | | Case 1: % 82.57/12.27 | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | (131) all_6_22 = e2 % 82.57/12.27 | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | COMBINE_EQS: (13), (131) imply: % 82.57/12.27 | | | | | | | | | | (132) all_4_14 = e2 % 82.57/12.27 | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | REDUCE: (35), (132) imply: % 82.57/12.27 | | | | | | | | | | (133) ~ (all_4_24 = e2) % 82.57/12.27 | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | SIMP: (133) implies: % 82.57/12.27 | | | | | | | | | | (134) ~ (all_4_24 = e2) % 82.57/12.27 | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | REDUCE: (45), (132) imply: % 82.57/12.27 | | | | | | | | | | (135) op(e0, e2) = all_10_40 % 82.57/12.27 | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | REDUCE: (14), (132) imply: % 82.57/12.27 | | | | | | | | | | (136) op(e0, e2) = e2 % 82.57/12.27 | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | BETA: splitting (29) gives: % 82.57/12.27 | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | Case 1: % 82.57/12.27 | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | (137) all_6_24 = e2 % 82.57/12.27 | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | COMBINE_EQS: (51), (137) imply: % 82.57/12.27 | | | | | | | | | | | (138) all_4_24 = e2 % 82.57/12.27 | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | REDUCE: (134), (138) imply: % 82.57/12.27 | | | | | | | | | | | (139) $false % 82.57/12.27 | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | CLOSE: (139) is inconsistent. % 82.57/12.27 | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | Case 2: % 82.57/12.27 | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | (140) all_6_24 = e3 | all_6_24 = e1 | all_6_24 = e0 % 82.57/12.27 | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | BETA: splitting (140) gives: % 82.57/12.27 | | | | | | | | | | | % 82.57/12.27 | | | | | | | | | | | Case 1: % 82.57/12.28 | | | | | | | | | | | | % 82.57/12.28 | | | | | | | | | | | | (141) all_6_24 = e3 % 82.57/12.28 | | | | | | | | | | | | % 82.57/12.28 | | | | | | | | | | | | COMBINE_EQS: (51), (141) imply: % 82.57/12.28 | | | | | | | | | | | | (142) all_4_24 = e3 % 82.57/12.28 | | | | | | | | | | | | % 82.57/12.28 | | | | | | | | | | | | REDUCE: (39), (142) imply: % 82.57/12.28 | | | | | | | | | | | | (143) ~ (all_4_21 = e3) % 82.57/12.28 | | | | | | | | | | | | % 82.57/12.28 | | | | | | | | | | | | REF_CLOSE: (8), (15), (33), (42), (46), (66), (128), (135), % 82.57/12.28 | | | | | | | | | | | | (136), (143) are inconsistent by sub-proof #37. % 82.57/12.28 | | | | | | | | | | | | % 82.57/12.28 | | | | | | | | | | | Case 2: % 82.57/12.28 | | | | | | | | | | | | % 82.57/12.28 | | | | | | | | | | | | (144) all_6_24 = e1 | all_6_24 = e0 % 82.57/12.28 | | | | | | | | | | | | % 82.57/12.28 | | | | | | | | | | | | REF_CLOSE: (32), (43), (51), (144) are inconsistent by % 82.57/12.28 | | | | | | | | | | | | sub-proof #50. % 82.57/12.28 | | | | | | | | | | | | % 82.57/12.28 | | | | | | | | | | | End of split % 82.57/12.28 | | | | | | | | | | | % 82.57/12.28 | | | | | | | | | | End of split % 82.57/12.28 | | | | | | | | | | % 82.57/12.28 | | | | | | | | | Case 2: % 82.57/12.28 | | | | | | | | | | % 82.57/12.28 | | | | | | | | | | (145) all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0 % 82.57/12.28 | | | | | | | | | | % 82.57/12.28 | | | | | | | | | | REF_CLOSE: (13), (20), (44), (130), (145) are inconsistent by % 82.57/12.28 | | | | | | | | | | sub-proof #101. % 82.57/12.28 | | | | | | | | | | % 82.57/12.28 | | | | | | | | | End of split % 82.57/12.28 | | | | | | | | | % 82.57/12.28 | | | | | | | | End of split % 82.57/12.28 | | | | | | | | % 82.57/12.28 | | | | | | | End of split % 82.57/12.28 | | | | | | | % 82.57/12.28 | | | | | | End of split % 82.57/12.28 | | | | | | % 82.57/12.28 | | | | | End of split % 82.57/12.28 | | | | | % 82.57/12.28 | | | | End of split % 82.57/12.28 | | | | % 82.57/12.28 | | | End of split % 82.57/12.28 | | | % 82.57/12.28 | | End of split % 82.57/12.28 | | % 82.57/12.28 | End of split % 82.57/12.28 | % 82.57/12.28 End of proof % 82.57/12.28 % 82.57/12.28 Sub-proof #37 shows that the following formulas are inconsistent: % 82.57/12.28 ---------------------------------------------------------------- % 82.57/12.28 (1) op(e0, all_4_21) = e3 % 82.57/12.28 (2) ~ (all_10_33 = e0) | (all_10_61 = e2 & ~ (unit = e0)) % 82.57/12.28 (3) op(e0, e2) = e2 % 82.57/12.28 (4) all_10_33 = e0 % 82.57/12.28 (5) op(e0, e2) = all_10_40 % 82.57/12.28 (6) ~ (all_4_21 = e3) % 82.57/12.28 (7) all_10_61 = all_4_21 % 82.57/12.28 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 82.57/12.28 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 82.57/12.28 (9) all_8_17 = all_4_21 % 82.57/12.28 (10) all_8_17 = e2 | all_8_18 = e2 | all_8_19 = e2 | all_8_24 = e2 % 82.57/12.28 % 82.57/12.28 Begin of proof % 82.57/12.28 | % 82.57/12.28 | BETA: splitting (10) gives: % 82.57/12.28 | % 82.57/12.28 | Case 1: % 82.57/12.28 | | % 82.57/12.28 | | (11) all_8_17 = e2 % 82.57/12.28 | | % 82.57/12.28 | | COMBINE_EQS: (9), (11) imply: % 82.57/12.28 | | (12) all_4_21 = e2 % 82.57/12.28 | | % 82.57/12.28 | | SIMP: (12) implies: % 82.57/12.28 | | (13) all_4_21 = e2 % 82.57/12.28 | | % 82.57/12.28 | | REDUCE: (6), (13) imply: % 82.57/12.28 | | (14) ~ (e3 = e2) % 82.57/12.28 | | % 82.57/12.28 | | SIMP: (14) implies: % 82.57/12.28 | | (15) ~ (e3 = e2) % 82.57/12.28 | | % 82.57/12.28 | | REDUCE: (1), (13) imply: % 82.57/12.28 | | (16) op(e0, e2) = e3 % 82.57/12.28 | | % 82.57/12.28 | | GROUND_INST: instantiating (8) with e3, all_10_40, e2, e0, simplifying with % 82.57/12.28 | | (5), (16) gives: % 82.57/12.28 | | (17) all_10_40 = e3 % 82.57/12.28 | | % 82.57/12.28 | | GROUND_INST: instantiating (8) with e2, all_10_40, e2, e0, simplifying with % 82.57/12.28 | | (3), (5) gives: % 82.57/12.28 | | (18) all_10_40 = e2 % 82.57/12.28 | | % 82.57/12.28 | | COMBINE_EQS: (17), (18) imply: % 82.57/12.28 | | (19) e3 = e2 % 82.57/12.28 | | % 82.57/12.28 | | REDUCE: (15), (19) imply: % 82.57/12.28 | | (20) $false % 82.57/12.28 | | % 82.57/12.28 | | CLOSE: (20) is inconsistent. % 82.57/12.28 | | % 82.57/12.28 | Case 2: % 82.57/12.28 | | % 82.57/12.28 | | (21) ~ (all_8_17 = e2) % 82.57/12.28 | | % 82.57/12.28 | | REDUCE: (9), (21) imply: % 82.57/12.28 | | (22) ~ (all_4_21 = e2) % 82.57/12.28 | | % 82.57/12.28 | | REF_CLOSE: (2), (4), (7), (22) are inconsistent by sub-proof #174. % 82.57/12.28 | | % 82.57/12.28 | End of split % 82.57/12.28 | % 82.57/12.28 End of proof % 82.57/12.28 % 82.57/12.28 Sub-proof #38 shows that the following formulas are inconsistent: % 82.57/12.28 ---------------------------------------------------------------- % 82.57/12.28 (1) all_6_7 = all_4_11 % 82.57/12.28 (2) all_6_7 = e3 % 82.57/12.28 (3) ~ (all_4_11 = e3) % 82.57/12.28 % 82.57/12.28 Begin of proof % 82.57/12.28 | % 82.57/12.28 | COMBINE_EQS: (1), (2) imply: % 82.57/12.28 | (4) all_4_11 = e3 % 82.57/12.28 | % 82.57/12.28 | SIMP: (4) implies: % 82.57/12.28 | (5) all_4_11 = e3 % 82.57/12.28 | % 82.57/12.28 | REDUCE: (3), (5) imply: % 82.57/12.28 | (6) $false % 82.57/12.28 | % 82.57/12.28 | CLOSE: (6) is inconsistent. % 82.57/12.28 | % 82.57/12.28 End of proof % 82.57/12.28 % 82.57/12.28 Sub-proof #39 shows that the following formulas are inconsistent: % 82.57/12.28 ---------------------------------------------------------------- % 82.57/12.28 (1) ~ (all_4_9 = e1) % 82.57/12.28 (2) ~ (all_4_9 = e3) % 82.57/12.28 (3) all_6_21 = all_4_9 % 82.57/12.28 (4) ~ (all_4_9 = e0) % 82.57/12.28 (5) all_6_21 = e3 | all_6_21 = e1 | all_6_21 = e0 % 82.57/12.28 % 82.57/12.28 Begin of proof % 82.57/12.28 | % 82.57/12.28 | BETA: splitting (5) gives: % 82.57/12.28 | % 82.57/12.28 | Case 1: % 82.57/12.28 | | % 82.57/12.28 | | (6) all_6_21 = e3 % 82.57/12.28 | | % 82.57/12.28 | | COMBINE_EQS: (3), (6) imply: % 82.57/12.28 | | (7) all_4_9 = e3 % 82.57/12.28 | | % 82.57/12.28 | | SIMP: (7) implies: % 82.57/12.28 | | (8) all_4_9 = e3 % 82.57/12.28 | | % 82.57/12.28 | | REDUCE: (2), (8) imply: % 82.57/12.28 | | (9) $false % 82.57/12.28 | | % 82.57/12.28 | | CLOSE: (9) is inconsistent. % 82.57/12.28 | | % 82.57/12.28 | Case 2: % 82.57/12.28 | | % 82.57/12.28 | | (10) all_6_21 = e1 | all_6_21 = e0 % 82.57/12.28 | | % 82.57/12.28 | | BETA: splitting (10) gives: % 82.57/12.28 | | % 82.57/12.28 | | Case 1: % 82.57/12.28 | | | % 82.57/12.28 | | | (11) all_6_21 = e1 % 82.57/12.28 | | | % 82.57/12.28 | | | COMBINE_EQS: (3), (11) imply: % 82.57/12.28 | | | (12) all_4_9 = e1 % 82.57/12.28 | | | % 82.57/12.28 | | | SIMP: (12) implies: % 82.57/12.28 | | | (13) all_4_9 = e1 % 82.57/12.28 | | | % 82.57/12.28 | | | REDUCE: (1), (13) imply: % 82.57/12.28 | | | (14) $false % 82.57/12.28 | | | % 82.57/12.28 | | | CLOSE: (14) is inconsistent. % 82.57/12.28 | | | % 82.57/12.28 | | Case 2: % 82.57/12.28 | | | % 82.57/12.28 | | | (15) all_6_21 = e0 % 82.57/12.28 | | | % 82.57/12.28 | | | COMBINE_EQS: (3), (15) imply: % 82.57/12.28 | | | (16) all_4_9 = e0 % 82.57/12.28 | | | % 82.57/12.28 | | | SIMP: (16) implies: % 82.57/12.28 | | | (17) all_4_9 = e0 % 82.57/12.28 | | | % 82.57/12.28 | | | REDUCE: (4), (17) imply: % 82.57/12.28 | | | (18) $false % 82.57/12.28 | | | % 82.57/12.28 | | | CLOSE: (18) is inconsistent. % 82.57/12.28 | | | % 82.57/12.28 | | End of split % 82.57/12.28 | | % 82.57/12.28 | End of split % 82.57/12.28 | % 82.57/12.28 End of proof % 82.57/12.28 % 82.57/12.28 Sub-proof #40 shows that the following formulas are inconsistent: % 82.57/12.28 ---------------------------------------------------------------- % 82.57/12.28 (1) op(e0, all_4_21) = e3 % 82.57/12.28 (2) all_8_10 = e4 % 82.57/12.28 (3) op(e0, e0) = all_4_24 % 82.57/12.28 (4) ~ (all_4_24 = e3) % 82.62/12.28 (5) ~ (e2 = e0) % 82.62/12.28 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 82.62/12.28 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 82.62/12.28 (7) all_8_17 = all_4_21 % 82.62/12.28 (8) all_8_5 = e0 | all_8_10 = e0 | all_8_17 = e0 % 82.62/12.28 (9) all_8_5 = e2 % 82.62/12.28 (10) ~ (e4 = e0) % 82.62/12.28 % 82.62/12.28 Begin of proof % 82.62/12.28 | % 82.62/12.28 | BETA: splitting (8) gives: % 82.62/12.28 | % 82.62/12.28 | Case 1: % 82.62/12.28 | | % 82.62/12.28 | | (11) all_8_5 = e0 % 82.62/12.28 | | % 82.62/12.28 | | COMBINE_EQS: (9), (11) imply: % 82.62/12.28 | | (12) e2 = e0 % 82.62/12.28 | | % 82.62/12.28 | | REDUCE: (5), (12) imply: % 82.62/12.28 | | (13) $false % 82.62/12.28 | | % 82.62/12.28 | | CLOSE: (13) is inconsistent. % 82.62/12.28 | | % 82.62/12.28 | Case 2: % 82.62/12.28 | | % 82.62/12.28 | | (14) all_8_10 = e0 | all_8_17 = e0 % 82.62/12.28 | | % 82.62/12.28 | | BETA: splitting (14) gives: % 82.62/12.28 | | % 82.62/12.28 | | Case 1: % 82.62/12.28 | | | % 82.62/12.28 | | | (15) all_8_10 = e0 % 82.62/12.28 | | | % 82.62/12.28 | | | REF_CLOSE: (2), (10), (15) are inconsistent by sub-proof #41. % 82.62/12.28 | | | % 82.62/12.28 | | Case 2: % 82.62/12.28 | | | % 82.62/12.28 | | | (16) all_8_17 = e0 % 82.62/12.28 | | | % 82.62/12.28 | | | COMBINE_EQS: (7), (16) imply: % 82.62/12.28 | | | (17) all_4_21 = e0 % 82.62/12.28 | | | % 82.62/12.28 | | | REDUCE: (1), (17) imply: % 82.62/12.28 | | | (18) op(e0, e0) = e3 % 82.62/12.28 | | | % 82.62/12.28 | | | GROUND_INST: instantiating (6) with all_4_24, e3, e0, e0, simplifying with % 82.62/12.28 | | | (3), (18) gives: % 82.62/12.28 | | | (19) all_4_24 = e3 % 82.62/12.28 | | | % 82.62/12.28 | | | REDUCE: (4), (19) imply: % 82.62/12.28 | | | (20) $false % 82.62/12.28 | | | % 82.62/12.28 | | | CLOSE: (20) is inconsistent. % 82.62/12.28 | | | % 82.62/12.28 | | End of split % 82.62/12.28 | | % 82.62/12.28 | End of split % 82.62/12.28 | % 82.62/12.28 End of proof % 82.62/12.28 % 82.62/12.28 Sub-proof #41 shows that the following formulas are inconsistent: % 82.62/12.28 ---------------------------------------------------------------- % 82.62/12.28 (1) all_8_10 = e4 % 82.62/12.28 (2) all_8_10 = e0 % 82.62/12.28 (3) ~ (e4 = e0) % 82.62/12.28 % 82.62/12.28 Begin of proof % 82.62/12.28 | % 82.62/12.28 | COMBINE_EQS: (1), (2) imply: % 82.62/12.28 | (4) e4 = e0 % 82.62/12.28 | % 82.62/12.28 | SIMP: (4) implies: % 82.62/12.28 | (5) e4 = e0 % 82.62/12.28 | % 82.62/12.28 | REDUCE: (3), (5) imply: % 82.62/12.28 | (6) $false % 82.62/12.28 | % 82.62/12.28 | CLOSE: (6) is inconsistent. % 82.62/12.28 | % 82.62/12.28 End of proof % 82.62/12.28 % 82.62/12.28 Sub-proof #42 shows that the following formulas are inconsistent: % 82.62/12.28 ---------------------------------------------------------------- % 82.62/12.28 (1) all_6_21 = all_4_9 % 82.62/12.28 (2) all_6_21 = e2 % 82.62/12.28 (3) ~ (all_4_9 = e2) % 82.62/12.28 % 82.62/12.28 Begin of proof % 82.62/12.28 | % 82.62/12.28 | COMBINE_EQS: (1), (2) imply: % 82.62/12.28 | (4) all_4_9 = e2 % 82.62/12.28 | % 82.62/12.28 | SIMP: (4) implies: % 82.62/12.28 | (5) all_4_9 = e2 % 82.62/12.28 | % 82.62/12.28 | REDUCE: (3), (5) imply: % 82.62/12.28 | (6) $false % 82.62/12.28 | % 82.62/12.28 | CLOSE: (6) is inconsistent. % 82.62/12.28 | % 82.62/12.28 End of proof % 82.62/12.28 % 82.62/12.28 Sub-proof #43 shows that the following formulas are inconsistent: % 82.62/12.28 ---------------------------------------------------------------- % 82.62/12.28 (1) all_8_20 = e4 % 82.62/12.28 (2) all_8_20 = e3 % 82.62/12.28 (3) ~ (e4 = e3) % 82.62/12.28 % 82.62/12.28 Begin of proof % 82.62/12.28 | % 82.62/12.28 | COMBINE_EQS: (1), (2) imply: % 82.62/12.28 | (4) e4 = e3 % 82.62/12.28 | % 82.62/12.28 | SIMP: (4) implies: % 82.62/12.28 | (5) e4 = e3 % 82.62/12.28 | % 82.62/12.28 | REDUCE: (3), (5) imply: % 82.62/12.28 | (6) $false % 82.62/12.28 | % 82.62/12.28 | CLOSE: (6) is inconsistent. % 82.62/12.28 | % 82.62/12.28 End of proof % 82.62/12.28 % 82.62/12.28 Sub-proof #44 shows that the following formulas are inconsistent: % 82.62/12.28 ---------------------------------------------------------------- % 82.62/12.28 (1) all_6_21 = all_4_9 % 82.62/12.28 (2) all_6_21 = e4 % 82.62/12.28 (3) ~ (all_4_9 = e4) % 82.62/12.28 % 82.62/12.28 Begin of proof % 82.62/12.28 | % 82.62/12.28 | COMBINE_EQS: (1), (2) imply: % 82.62/12.28 | (4) all_4_9 = e4 % 82.62/12.28 | % 82.62/12.28 | SIMP: (4) implies: % 82.62/12.28 | (5) all_4_9 = e4 % 82.62/12.28 | % 82.62/12.28 | REDUCE: (3), (5) imply: % 82.62/12.28 | (6) $false % 82.62/12.28 | % 82.62/12.28 | CLOSE: (6) is inconsistent. % 82.62/12.28 | % 82.62/12.28 End of proof % 82.62/12.28 % 82.62/12.28 Sub-proof #45 shows that the following formulas are inconsistent: % 82.62/12.28 ---------------------------------------------------------------- % 82.62/12.28 (1) all_6_17 = all_4_13 % 82.62/12.28 (2) all_6_17 = e2 % 82.62/12.28 (3) ~ (all_4_13 = e2) % 82.62/12.28 % 82.62/12.28 Begin of proof % 82.62/12.28 | % 82.62/12.28 | COMBINE_EQS: (1), (2) imply: % 82.62/12.28 | (4) all_4_13 = e2 % 82.62/12.28 | % 82.62/12.28 | SIMP: (4) implies: % 82.62/12.28 | (5) all_4_13 = e2 % 82.62/12.28 | % 82.62/12.28 | REDUCE: (3), (5) imply: % 82.62/12.28 | (6) $false % 82.62/12.28 | % 82.62/12.28 | CLOSE: (6) is inconsistent. % 82.62/12.28 | % 82.62/12.28 End of proof % 82.62/12.28 % 82.62/12.28 Sub-proof #46 shows that the following formulas are inconsistent: % 82.62/12.28 ---------------------------------------------------------------- % 82.62/12.28 (1) all_6_14 = all_4_22 % 82.62/12.28 (2) all_6_14 = e2 % 82.62/12.28 (3) ~ (all_4_22 = e2) % 82.62/12.28 % 82.62/12.28 Begin of proof % 82.62/12.28 | % 82.62/12.28 | COMBINE_EQS: (1), (2) imply: % 82.62/12.28 | (4) all_4_22 = e2 % 82.62/12.28 | % 82.62/12.28 | SIMP: (4) implies: % 82.62/12.28 | (5) all_4_22 = e2 % 82.62/12.28 | % 82.62/12.28 | REDUCE: (3), (5) imply: % 82.62/12.28 | (6) $false % 82.62/12.28 | % 82.62/12.28 | CLOSE: (6) is inconsistent. % 82.62/12.28 | % 82.62/12.28 End of proof % 82.62/12.28 % 82.62/12.28 Sub-proof #47 shows that the following formulas are inconsistent: % 82.62/12.28 ---------------------------------------------------------------- % 82.62/12.28 (1) all_8_13 = all_4_8 % 82.62/12.28 (2) all_8_21 = all_4_9 % 82.62/12.28 (3) ~ (all_8_13 = e4) % 82.62/12.28 (4) ~ (all_4_9 = e4) % 82.62/12.28 (5) all_8_13 = e4 | all_8_21 = e4 % 82.62/12.28 % 82.62/12.28 Begin of proof % 82.62/12.28 | % 82.62/12.28 | REDUCE: (1), (3) imply: % 82.62/12.28 | (6) ~ (all_4_8 = e4) % 82.62/12.28 | % 82.62/12.28 | BETA: splitting (5) gives: % 82.62/12.28 | % 82.62/12.28 | Case 1: % 82.62/12.28 | | % 82.62/12.28 | | (7) all_8_13 = e4 % 82.62/12.28 | | % 82.62/12.28 | | REF_CLOSE: (1), (6), (7) are inconsistent by sub-proof #137. % 82.62/12.28 | | % 82.62/12.28 | Case 2: % 82.62/12.28 | | % 82.62/12.28 | | (8) all_8_21 = e4 % 82.62/12.28 | | % 82.62/12.28 | | REF_CLOSE: (2), (4), (8) are inconsistent by sub-proof #136. % 82.62/12.28 | | % 82.62/12.28 | End of split % 82.62/12.28 | % 82.62/12.28 End of proof % 82.62/12.28 % 82.62/12.28 Sub-proof #48 shows that the following formulas are inconsistent: % 82.62/12.28 ---------------------------------------------------------------- % 82.62/12.28 (1) all_8_23 = e3 % 82.62/12.28 (2) all_8_23 = e0 % 82.62/12.28 (3) ~ (e3 = e0) % 82.62/12.28 % 82.62/12.28 Begin of proof % 82.62/12.28 | % 82.62/12.28 | COMBINE_EQS: (1), (2) imply: % 82.62/12.28 | (4) e3 = e0 % 82.62/12.28 | % 82.62/12.28 | SIMP: (4) implies: % 82.62/12.28 | (5) e3 = e0 % 82.62/12.28 | % 82.62/12.28 | REDUCE: (3), (5) imply: % 82.62/12.28 | (6) $false % 82.62/12.28 | % 82.62/12.28 | CLOSE: (6) is inconsistent. % 82.62/12.28 | % 82.62/12.28 End of proof % 82.62/12.28 % 82.62/12.28 Sub-proof #49 shows that the following formulas are inconsistent: % 82.62/12.28 ---------------------------------------------------------------- % 82.62/12.28 (1) ~ (all_4_24 = e0) % 82.62/12.28 (2) ~ (all_4_24 = e3) % 82.62/12.28 (3) ~ (all_4_24 = e1) % 82.62/12.28 (4) all_6_24 = e3 | all_6_24 = e1 | all_6_24 = e0 % 82.62/12.28 (5) all_6_24 = all_4_24 % 82.62/12.28 % 82.62/12.28 Begin of proof % 82.62/12.28 | % 82.62/12.28 | BETA: splitting (4) gives: % 82.62/12.28 | % 82.62/12.28 | Case 1: % 82.62/12.28 | | % 82.62/12.28 | | (6) all_6_24 = e3 % 82.62/12.28 | | % 82.62/12.28 | | REF_CLOSE: (2), (5), (6) are inconsistent by sub-proof #51. % 82.62/12.28 | | % 82.62/12.28 | Case 2: % 82.62/12.28 | | % 82.62/12.28 | | (7) all_6_24 = e1 | all_6_24 = e0 % 82.62/12.28 | | % 82.62/12.28 | | REF_CLOSE: (1), (3), (5), (7) are inconsistent by sub-proof #50. % 82.62/12.28 | | % 82.62/12.28 | End of split % 82.62/12.28 | % 82.62/12.28 End of proof % 82.62/12.28 % 82.62/12.28 Sub-proof #50 shows that the following formulas are inconsistent: % 82.62/12.28 ---------------------------------------------------------------- % 82.62/12.28 (1) all_6_24 = e1 | all_6_24 = e0 % 82.62/12.28 (2) all_6_24 = all_4_24 % 82.62/12.28 (3) ~ (all_4_24 = e1) % 82.62/12.28 (4) ~ (all_4_24 = e0) % 82.62/12.28 % 82.62/12.28 Begin of proof % 82.62/12.28 | % 82.62/12.28 | BETA: splitting (1) gives: % 82.62/12.28 | % 82.62/12.28 | Case 1: % 82.62/12.28 | | % 82.62/12.28 | | (5) all_6_24 = e1 % 82.62/12.28 | | % 82.62/12.28 | | COMBINE_EQS: (2), (5) imply: % 82.62/12.28 | | (6) all_4_24 = e1 % 82.62/12.28 | | % 82.62/12.28 | | REDUCE: (3), (6) imply: % 82.62/12.28 | | (7) $false % 82.62/12.28 | | % 82.62/12.28 | | CLOSE: (7) is inconsistent. % 82.62/12.28 | | % 82.62/12.28 | Case 2: % 82.62/12.28 | | % 82.62/12.28 | | (8) all_6_24 = e0 % 82.62/12.28 | | % 82.62/12.28 | | COMBINE_EQS: (2), (8) imply: % 82.62/12.28 | | (9) all_4_24 = e0 % 82.62/12.28 | | % 82.62/12.28 | | REDUCE: (4), (9) imply: % 82.62/12.28 | | (10) $false % 82.62/12.28 | | % 82.62/12.28 | | CLOSE: (10) is inconsistent. % 82.62/12.28 | | % 82.62/12.28 | End of split % 82.62/12.28 | % 82.62/12.28 End of proof % 82.62/12.28 % 82.62/12.28 Sub-proof #51 shows that the following formulas are inconsistent: % 82.62/12.28 ---------------------------------------------------------------- % 82.62/12.28 (1) all_6_24 = all_4_24 % 82.62/12.28 (2) all_6_24 = e3 % 82.62/12.28 (3) ~ (all_4_24 = e3) % 82.62/12.28 % 82.62/12.28 Begin of proof % 82.62/12.28 | % 82.62/12.28 | COMBINE_EQS: (1), (2) imply: % 82.62/12.28 | (4) all_4_24 = e3 % 82.62/12.28 | % 82.62/12.28 | SIMP: (4) implies: % 82.62/12.28 | (5) all_4_24 = e3 % 82.62/12.28 | % 82.62/12.28 | REDUCE: (3), (5) imply: % 82.62/12.28 | (6) $false % 82.62/12.28 | % 82.62/12.28 | CLOSE: (6) is inconsistent. % 82.62/12.28 | % 82.62/12.28 End of proof % 82.62/12.28 % 82.62/12.28 Sub-proof #52 shows that the following formulas are inconsistent: % 82.62/12.28 ---------------------------------------------------------------- % 82.62/12.28 (1) ~ (all_4_17 = e2) % 82.62/12.28 (2) all_8_8 = e4 % 82.62/12.28 (3) all_8_11 = all_4_17 % 82.62/12.28 (4) all_8_18 = all_4_22 % 82.62/12.28 (5) all_8_8 = e2 | all_8_11 = e2 | all_8_18 = e2 % 82.62/12.28 (6) ~ (e4 = e2) % 82.62/12.28 (7) ~ (all_4_22 = e2) % 82.62/12.28 % 82.62/12.28 Begin of proof % 82.62/12.28 | % 82.62/12.28 | BETA: splitting (5) gives: % 82.62/12.28 | % 82.62/12.28 | Case 1: % 82.62/12.28 | | % 82.62/12.28 | | (8) all_8_8 = e2 % 82.62/12.28 | | % 82.62/12.28 | | REF_CLOSE: (2), (6), (8) are inconsistent by sub-proof #160. % 82.62/12.28 | | % 82.62/12.28 | Case 2: % 82.62/12.28 | | % 82.62/12.28 | | (9) all_8_11 = e2 | all_8_18 = e2 % 82.62/12.28 | | % 82.62/12.28 | | BETA: splitting (9) gives: % 82.62/12.28 | | % 82.62/12.28 | | Case 1: % 82.62/12.28 | | | % 82.62/12.28 | | | (10) all_8_11 = e2 % 82.62/12.28 | | | % 82.62/12.28 | | | REF_CLOSE: (1), (3), (10) are inconsistent by sub-proof #159. % 82.62/12.28 | | | % 82.62/12.28 | | Case 2: % 82.62/12.28 | | | % 82.62/12.28 | | | (11) all_8_18 = e2 % 82.62/12.28 | | | % 82.62/12.28 | | | COMBINE_EQS: (4), (11) imply: % 82.62/12.28 | | | (12) all_4_22 = e2 % 82.62/12.28 | | | % 82.62/12.28 | | | SIMP: (12) implies: % 82.62/12.28 | | | (13) all_4_22 = e2 % 82.62/12.28 | | | % 82.62/12.28 | | | REDUCE: (7), (13) imply: % 82.62/12.28 | | | (14) $false % 82.62/12.28 | | | % 82.62/12.28 | | | CLOSE: (14) is inconsistent. % 82.62/12.28 | | | % 82.62/12.28 | | End of split % 82.62/12.28 | | % 82.62/12.28 | End of split % 82.62/12.28 | % 82.62/12.28 End of proof % 82.62/12.28 % 82.62/12.28 Sub-proof #53 shows that the following formulas are inconsistent: % 82.62/12.28 ---------------------------------------------------------------- % 82.62/12.28 (1) op(e2, e2) = e4 % 82.62/12.28 (2) all_10_36 = e2 % 82.62/12.28 (3) op(e2, e2) = all_10_31 % 82.62/12.28 (4) op(e0, e0) = e2 % 82.62/12.28 (5) op(e0, e0) = all_10_40 % 82.62/12.28 (6) ~ (all_4_17 = e4) % 82.62/12.28 (7) ~ (e2 = e1) % 82.62/12.28 (8) op(e2, e2) = all_10_20 % 82.62/12.28 (9) ~ (e4 = e3) % 82.62/12.28 (10) all_10_28 = all_4_17 % 82.62/12.28 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 82.62/12.28 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 82.62/12.28 (12) (all_10_28 = e4 & ~ (all_10_29 = e2)) | (all_10_31 = e3 & ~ (all_10_32 % 82.62/12.28 = e2)) | (all_10_36 = e1 & ~ (all_10_37 = e2)) | (all_10_39 = e0 & % 82.62/12.28 ~ (all_10_40 = e2)) % 82.62/12.28 % 82.62/12.28 Begin of proof % 82.62/12.28 | % 82.62/12.28 | GROUND_INST: instantiating (11) with e2, all_10_40, e0, e0, simplifying with % 82.62/12.28 | (4), (5) gives: % 82.62/12.28 | (13) all_10_40 = e2 % 82.62/12.28 | % 82.62/12.28 | GROUND_INST: instantiating (11) with e4, all_10_20, e2, e2, simplifying with % 82.62/12.28 | (1), (8) gives: % 82.62/12.28 | (14) all_10_20 = e4 % 82.62/12.28 | % 82.62/12.28 | GROUND_INST: instantiating (11) with all_10_31, all_10_20, e2, e2, simplifying % 82.62/12.28 | with (3), (8) gives: % 82.62/12.28 | (15) all_10_20 = all_10_31 % 82.62/12.28 | % 82.62/12.28 | COMBINE_EQS: (14), (15) imply: % 82.62/12.28 | (16) all_10_31 = e4 % 82.62/12.28 | % 82.62/12.28 | BETA: splitting (12) gives: % 82.62/12.28 | % 82.62/12.28 | Case 1: % 82.62/12.28 | | % 82.62/12.28 | | (17) (all_10_28 = e4 & ~ (all_10_29 = e2)) | (all_10_31 = e3 & ~ % 82.62/12.28 | | (all_10_32 = e2)) % 82.62/12.28 | | % 82.62/12.28 | | BETA: splitting (17) gives: % 82.62/12.28 | | % 82.62/12.28 | | Case 1: % 82.62/12.28 | | | % 82.62/12.28 | | | (18) all_10_28 = e4 & ~ (all_10_29 = e2) % 82.62/12.28 | | | % 82.62/12.28 | | | ALPHA: (18) implies: % 82.62/12.28 | | | (19) all_10_28 = e4 % 82.62/12.28 | | | % 82.62/12.28 | | | COMBINE_EQS: (10), (19) imply: % 82.62/12.28 | | | (20) all_4_17 = e4 % 82.62/12.28 | | | % 82.62/12.28 | | | REDUCE: (6), (20) imply: % 82.62/12.28 | | | (21) $false % 82.62/12.28 | | | % 82.62/12.28 | | | CLOSE: (21) is inconsistent. % 82.62/12.28 | | | % 82.62/12.28 | | Case 2: % 82.62/12.28 | | | % 82.62/12.28 | | | (22) all_10_31 = e3 & ~ (all_10_32 = e2) % 82.62/12.28 | | | % 82.62/12.28 | | | ALPHA: (22) implies: % 82.62/12.28 | | | (23) all_10_31 = e3 % 82.62/12.28 | | | % 82.62/12.28 | | | COMBINE_EQS: (16), (23) imply: % 82.62/12.28 | | | (24) e4 = e3 % 82.62/12.28 | | | % 82.62/12.28 | | | SIMP: (24) implies: % 82.62/12.28 | | | (25) e4 = e3 % 82.62/12.28 | | | % 82.62/12.28 | | | REDUCE: (9), (25) imply: % 82.62/12.28 | | | (26) $false % 82.62/12.28 | | | % 82.62/12.28 | | | CLOSE: (26) is inconsistent. % 82.62/12.28 | | | % 82.62/12.28 | | End of split % 82.62/12.28 | | % 82.62/12.28 | Case 2: % 82.62/12.28 | | % 82.62/12.28 | | (27) (all_10_36 = e1 & ~ (all_10_37 = e2)) | (all_10_39 = e0 & ~ % 82.62/12.28 | | (all_10_40 = e2)) % 82.62/12.28 | | % 82.62/12.28 | | BETA: splitting (27) gives: % 82.62/12.28 | | % 82.62/12.28 | | Case 1: % 82.62/12.28 | | | % 82.62/12.28 | | | (28) all_10_36 = e1 & ~ (all_10_37 = e2) % 82.62/12.28 | | | % 82.62/12.28 | | | ALPHA: (28) implies: % 82.62/12.28 | | | (29) all_10_36 = e1 % 82.62/12.28 | | | % 82.62/12.28 | | | COMBINE_EQS: (2), (29) imply: % 82.62/12.29 | | | (30) e2 = e1 % 82.62/12.29 | | | % 82.62/12.29 | | | SIMP: (30) implies: % 82.62/12.29 | | | (31) e2 = e1 % 82.62/12.29 | | | % 82.62/12.29 | | | REDUCE: (7), (31) imply: % 82.62/12.29 | | | (32) $false % 82.62/12.29 | | | % 82.62/12.29 | | | CLOSE: (32) is inconsistent. % 82.62/12.29 | | | % 82.62/12.29 | | Case 2: % 82.62/12.29 | | | % 82.62/12.29 | | | (33) all_10_39 = e0 & ~ (all_10_40 = e2) % 82.62/12.29 | | | % 82.62/12.29 | | | ALPHA: (33) implies: % 82.62/12.29 | | | (34) ~ (all_10_40 = e2) % 82.62/12.29 | | | % 82.62/12.29 | | | REDUCE: (13), (34) imply: % 82.62/12.29 | | | (35) $false % 82.62/12.29 | | | % 82.62/12.29 | | | CLOSE: (35) is inconsistent. % 82.62/12.29 | | | % 82.62/12.29 | | End of split % 82.62/12.29 | | % 82.62/12.29 | End of split % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #54 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_8_20 = e4 % 82.62/12.29 (2) all_8_20 = e0 % 82.62/12.29 (3) ~ (e4 = e0) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | COMBINE_EQS: (1), (2) imply: % 82.62/12.29 | (4) e4 = e0 % 82.62/12.29 | % 82.62/12.29 | SIMP: (4) implies: % 82.62/12.29 | (5) e4 = e0 % 82.62/12.29 | % 82.62/12.29 | REDUCE: (3), (5) imply: % 82.62/12.29 | (6) $false % 82.62/12.29 | % 82.62/12.29 | CLOSE: (6) is inconsistent. % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #55 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_8_3 = all_4_6 % 82.62/12.29 (2) all_8_3 = e4 % 82.62/12.29 (3) ~ (all_4_6 = e4) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | COMBINE_EQS: (1), (2) imply: % 82.62/12.29 | (4) all_4_6 = e4 % 82.62/12.29 | % 82.62/12.29 | SIMP: (4) implies: % 82.62/12.29 | (5) all_4_6 = e4 % 82.62/12.29 | % 82.62/12.29 | REDUCE: (3), (5) imply: % 82.62/12.29 | (6) $false % 82.62/12.29 | % 82.62/12.29 | CLOSE: (6) is inconsistent. % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #56 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_8_16 = all_4_20 % 82.62/12.29 (2) all_8_16 = e4 % 82.62/12.29 (3) ~ (all_4_20 = e4) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | COMBINE_EQS: (1), (2) imply: % 82.62/12.29 | (4) all_4_20 = e4 % 82.62/12.29 | % 82.62/12.29 | SIMP: (4) implies: % 82.62/12.29 | (5) all_4_20 = e4 % 82.62/12.29 | % 82.62/12.29 | REDUCE: (3), (5) imply: % 82.62/12.29 | (6) $false % 82.62/12.29 | % 82.62/12.29 | CLOSE: (6) is inconsistent. % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #57 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_10_24 = all_4_8 % 82.62/12.29 (2) all_8_13 = all_4_8 % 82.62/12.29 (3) ~ (all_4_23 = e3) % 82.62/12.29 (4) ~ (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit = e0)) % 82.62/12.29 (5) all_10_67 = all_4_23 % 82.62/12.29 (6) all_8_13 = e0 % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | COMBINE_EQS: (2), (6) imply: % 82.62/12.29 | (7) all_4_8 = e0 % 82.62/12.29 | % 82.62/12.29 | SIMP: (7) implies: % 82.62/12.29 | (8) all_4_8 = e0 % 82.62/12.29 | % 82.62/12.29 | COMBINE_EQS: (1), (8) imply: % 82.62/12.29 | (9) all_10_24 = e0 % 82.62/12.29 | % 82.62/12.29 | REF_CLOSE: (3), (4), (5), (9) are inconsistent by sub-proof #58. % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #58 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) ~ (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit = e0)) % 82.62/12.29 (2) all_10_24 = e0 % 82.62/12.29 (3) all_10_67 = all_4_23 % 82.62/12.29 (4) ~ (all_4_23 = e3) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | BETA: splitting (1) gives: % 82.62/12.29 | % 82.62/12.29 | Case 1: % 82.62/12.29 | | % 82.62/12.29 | | (5) ~ (all_10_24 = e0) % 82.62/12.29 | | % 82.62/12.29 | | REDUCE: (2), (5) imply: % 82.62/12.29 | | (6) $false % 82.62/12.29 | | % 82.62/12.29 | | CLOSE: (6) is inconsistent. % 82.62/12.29 | | % 82.62/12.29 | Case 2: % 82.62/12.29 | | % 82.62/12.29 | | (7) all_10_67 = e3 & ~ (unit = e0) % 82.62/12.29 | | % 82.62/12.29 | | ALPHA: (7) implies: % 82.62/12.29 | | (8) all_10_67 = e3 % 82.62/12.29 | | % 82.62/12.29 | | COMBINE_EQS: (3), (8) imply: % 82.62/12.29 | | (9) all_4_23 = e3 % 82.62/12.29 | | % 82.62/12.29 | | REDUCE: (4), (9) imply: % 82.62/12.29 | | (10) $false % 82.62/12.29 | | % 82.62/12.29 | | CLOSE: (10) is inconsistent. % 82.62/12.29 | | % 82.62/12.29 | End of split % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #59 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_8_19 = all_4_23 % 82.62/12.29 (2) ~ (e2 = e0) % 82.62/12.29 (3) all_8_14 = e0 | all_8_15 = e0 | all_8_19 = e0 % 82.62/12.29 (4) all_8_14 = e2 % 82.62/12.29 (5) ~ (all_4_23 = e0) % 82.62/12.29 (6) ~ (e1 = e0) % 82.62/12.29 (7) all_8_15 = e1 % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | BETA: splitting (3) gives: % 82.62/12.29 | % 82.62/12.29 | Case 1: % 82.62/12.29 | | % 82.62/12.29 | | (8) all_8_14 = e0 % 82.62/12.29 | | % 82.62/12.29 | | REF_CLOSE: (2), (4), (8) are inconsistent by sub-proof #60. % 82.62/12.29 | | % 82.62/12.29 | Case 2: % 82.62/12.29 | | % 82.62/12.29 | | (9) all_8_15 = e0 | all_8_19 = e0 % 82.62/12.29 | | % 82.62/12.29 | | BETA: splitting (9) gives: % 82.62/12.29 | | % 82.62/12.29 | | Case 1: % 82.62/12.29 | | | % 82.62/12.29 | | | (10) all_8_15 = e0 % 82.62/12.29 | | | % 82.62/12.29 | | | REF_CLOSE: (6), (7), (10) are inconsistent by sub-proof #81. % 82.62/12.29 | | | % 82.62/12.29 | | Case 2: % 82.62/12.29 | | | % 82.62/12.29 | | | (11) all_8_19 = e0 % 82.62/12.29 | | | % 82.62/12.29 | | | REF_CLOSE: (1), (5), (11) are inconsistent by sub-proof #105. % 82.62/12.29 | | | % 82.62/12.29 | | End of split % 82.62/12.29 | | % 82.62/12.29 | End of split % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #60 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_8_14 = e2 % 82.62/12.29 (2) all_8_14 = e0 % 82.62/12.29 (3) ~ (e2 = e0) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | COMBINE_EQS: (1), (2) imply: % 82.62/12.29 | (4) e2 = e0 % 82.62/12.29 | % 82.62/12.29 | SIMP: (4) implies: % 82.62/12.29 | (5) e2 = e0 % 82.62/12.29 | % 82.62/12.29 | REDUCE: (3), (5) imply: % 82.62/12.29 | (6) $false % 82.62/12.29 | % 82.62/12.29 | CLOSE: (6) is inconsistent. % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #61 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_8_16 = e4 % 82.62/12.29 (2) all_8_16 = e2 % 82.62/12.29 (3) ~ (e4 = e2) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | COMBINE_EQS: (1), (2) imply: % 82.62/12.29 | (4) e4 = e2 % 82.62/12.29 | % 82.62/12.29 | SIMP: (4) implies: % 82.62/12.29 | (5) e4 = e2 % 82.62/12.29 | % 82.62/12.29 | REDUCE: (3), (5) imply: % 82.62/12.29 | (6) $false % 82.62/12.29 | % 82.62/12.29 | CLOSE: (6) is inconsistent. % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #62 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) e4 = e0 % 82.62/12.29 (2) all_8_13 = all_4_8 % 82.62/12.29 (3) ~ (all_4_8 = e4) % 82.62/12.29 (4) all_8_21 = e4 % 82.62/12.29 (5) ~ (e4 = e0) % 82.62/12.29 (6) all_8_13 = e4 | all_8_21 = e4 % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | SIMP: (1) implies: % 82.62/12.29 | (7) e4 = e0 % 82.62/12.29 | % 82.62/12.29 | COMBINE_EQS: (4), (7) imply: % 82.62/12.29 | (8) all_8_21 = e0 % 82.62/12.29 | % 82.62/12.29 | REF_CLOSE: (2), (3), (5), (6), (8) are inconsistent by sub-proof #64. % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #63 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_6_3 = e1 | all_6_3 = e0 % 82.62/12.29 (2) all_6_3 = all_4_15 % 82.62/12.29 (3) ~ (all_4_15 = e1) % 82.62/12.29 (4) ~ (all_4_15 = e0) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | BETA: splitting (1) gives: % 82.62/12.29 | % 82.62/12.29 | Case 1: % 82.62/12.29 | | % 82.62/12.29 | | (5) all_6_3 = e1 % 82.62/12.29 | | % 82.62/12.29 | | COMBINE_EQS: (2), (5) imply: % 82.62/12.29 | | (6) all_4_15 = e1 % 82.62/12.29 | | % 82.62/12.29 | | SIMP: (6) implies: % 82.62/12.29 | | (7) all_4_15 = e1 % 82.62/12.29 | | % 82.62/12.29 | | REDUCE: (3), (7) imply: % 82.62/12.29 | | (8) $false % 82.62/12.29 | | % 82.62/12.29 | | CLOSE: (8) is inconsistent. % 82.62/12.29 | | % 82.62/12.29 | Case 2: % 82.62/12.29 | | % 82.62/12.29 | | (9) all_6_3 = e0 % 82.62/12.29 | | % 82.62/12.29 | | COMBINE_EQS: (2), (9) imply: % 82.62/12.29 | | (10) all_4_15 = e0 % 82.62/12.29 | | % 82.62/12.29 | | SIMP: (10) implies: % 82.62/12.29 | | (11) all_4_15 = e0 % 82.62/12.29 | | % 82.62/12.29 | | REDUCE: (4), (11) imply: % 82.62/12.29 | | (12) $false % 82.62/12.29 | | % 82.62/12.29 | | CLOSE: (12) is inconsistent. % 82.62/12.29 | | % 82.62/12.29 | End of split % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #64 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_8_13 = all_4_8 % 82.62/12.29 (2) all_8_21 = e0 % 82.62/12.29 (3) ~ (all_4_8 = e4) % 82.62/12.29 (4) ~ (e4 = e0) % 82.62/12.29 (5) all_8_13 = e4 | all_8_21 = e4 % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | BETA: splitting (5) gives: % 82.62/12.29 | % 82.62/12.29 | Case 1: % 82.62/12.29 | | % 82.62/12.29 | | (6) all_8_13 = e4 % 82.62/12.29 | | % 82.62/12.29 | | COMBINE_EQS: (1), (6) imply: % 82.62/12.29 | | (7) all_4_8 = e4 % 82.62/12.29 | | % 82.62/12.29 | | REDUCE: (3), (7) imply: % 82.62/12.29 | | (8) $false % 82.62/12.29 | | % 82.62/12.29 | | CLOSE: (8) is inconsistent. % 82.62/12.29 | | % 82.62/12.29 | Case 2: % 82.62/12.29 | | % 82.62/12.29 | | (9) all_8_21 = e4 % 82.62/12.29 | | % 82.62/12.29 | | COMBINE_EQS: (2), (9) imply: % 82.62/12.29 | | (10) e4 = e0 % 82.62/12.29 | | % 82.62/12.29 | | REDUCE: (4), (10) imply: % 82.62/12.29 | | (11) $false % 82.62/12.29 | | % 82.62/12.29 | | CLOSE: (11) is inconsistent. % 82.62/12.29 | | % 82.62/12.29 | End of split % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #65 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_8_24 = all_4_24 % 82.62/12.29 (2) all_8_24 = e4 % 82.62/12.29 (3) ~ (all_4_24 = e4) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | COMBINE_EQS: (1), (2) imply: % 82.62/12.29 | (4) all_4_24 = e4 % 82.62/12.29 | % 82.62/12.29 | SIMP: (4) implies: % 82.62/12.29 | (5) all_4_24 = e4 % 82.62/12.29 | % 82.62/12.29 | REDUCE: (3), (5) imply: % 82.62/12.29 | (6) $false % 82.62/12.29 | % 82.62/12.29 | CLOSE: (6) is inconsistent. % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #66 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_10_64 = e1 & ~ (unit = e0) % 82.62/12.29 (2) all_10_64 = all_4_22 % 82.62/12.29 (3) ~ (all_4_22 = e1) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | ALPHA: (1) implies: % 82.62/12.29 | (4) all_10_64 = e1 % 82.62/12.29 | % 82.62/12.29 | COMBINE_EQS: (2), (4) imply: % 82.62/12.29 | (5) all_4_22 = e1 % 82.62/12.29 | % 82.62/12.29 | SIMP: (5) implies: % 82.62/12.29 | (6) all_4_22 = e1 % 82.62/12.29 | % 82.62/12.29 | REDUCE: (3), (6) imply: % 82.62/12.29 | (7) $false % 82.62/12.29 | % 82.62/12.29 | CLOSE: (7) is inconsistent. % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #67 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_10_69 = e2 & ~ (unit = e0) % 82.62/12.29 (2) all_10_69 = all_4_24 % 82.62/12.29 (3) ~ (all_4_24 = e2) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | ALPHA: (1) implies: % 82.62/12.29 | (4) all_10_69 = e2 % 82.62/12.29 | % 82.62/12.29 | COMBINE_EQS: (2), (4) imply: % 82.62/12.29 | (5) all_4_24 = e2 % 82.62/12.29 | % 82.62/12.29 | SIMP: (5) implies: % 82.62/12.29 | (6) all_4_24 = e2 % 82.62/12.29 | % 82.62/12.29 | REDUCE: (3), (6) imply: % 82.62/12.29 | (7) $false % 82.62/12.29 | % 82.62/12.29 | CLOSE: (7) is inconsistent. % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #68 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_6_16 = e1 | all_6_16 = e0 % 82.62/12.29 (2) all_6_16 = all_4_8 % 82.62/12.29 (3) ~ (all_4_8 = e1) % 82.62/12.29 (4) ~ (all_4_8 = e0) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | BETA: splitting (1) gives: % 82.62/12.29 | % 82.62/12.29 | Case 1: % 82.62/12.29 | | % 82.62/12.29 | | (5) all_6_16 = e1 % 82.62/12.29 | | % 82.62/12.29 | | COMBINE_EQS: (2), (5) imply: % 82.62/12.29 | | (6) all_4_8 = e1 % 82.62/12.29 | | % 82.62/12.29 | | SIMP: (6) implies: % 82.62/12.29 | | (7) all_4_8 = e1 % 82.62/12.29 | | % 82.62/12.29 | | REDUCE: (3), (7) imply: % 82.62/12.29 | | (8) $false % 82.62/12.29 | | % 82.62/12.29 | | CLOSE: (8) is inconsistent. % 82.62/12.29 | | % 82.62/12.29 | Case 2: % 82.62/12.29 | | % 82.62/12.29 | | (9) all_6_16 = e0 % 82.62/12.29 | | % 82.62/12.29 | | COMBINE_EQS: (2), (9) imply: % 82.62/12.29 | | (10) all_4_8 = e0 % 82.62/12.29 | | % 82.62/12.29 | | SIMP: (10) implies: % 82.62/12.29 | | (11) all_4_8 = e0 % 82.62/12.29 | | % 82.62/12.29 | | REDUCE: (4), (11) imply: % 82.62/12.29 | | (12) $false % 82.62/12.29 | | % 82.62/12.29 | | CLOSE: (12) is inconsistent. % 82.62/12.29 | | % 82.62/12.29 | End of split % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #69 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_6_8 = all_4_16 % 82.62/12.29 (2) all_6_8 = e2 % 82.62/12.29 (3) ~ (all_4_16 = e2) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | COMBINE_EQS: (1), (2) imply: % 82.62/12.29 | (4) all_4_16 = e2 % 82.62/12.29 | % 82.62/12.29 | SIMP: (4) implies: % 82.62/12.29 | (5) all_4_16 = e2 % 82.62/12.29 | % 82.62/12.29 | REDUCE: (3), (5) imply: % 82.62/12.29 | (6) $false % 82.62/12.29 | % 82.62/12.29 | CLOSE: (6) is inconsistent. % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #70 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_6_16 = all_4_8 % 82.62/12.29 (2) all_6_16 = e2 % 82.62/12.29 (3) ~ (all_4_8 = e2) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | COMBINE_EQS: (1), (2) imply: % 82.62/12.29 | (4) all_4_8 = e2 % 82.62/12.29 | % 82.62/12.29 | SIMP: (4) implies: % 82.62/12.29 | (5) all_4_8 = e2 % 82.62/12.29 | % 82.62/12.29 | REDUCE: (3), (5) imply: % 82.62/12.29 | (6) $false % 82.62/12.29 | % 82.62/12.29 | CLOSE: (6) is inconsistent. % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #71 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_6_16 = all_4_8 % 82.62/12.29 (2) all_6_16 = e4 % 82.62/12.29 (3) ~ (all_4_8 = e4) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | COMBINE_EQS: (1), (2) imply: % 82.62/12.29 | (4) all_4_8 = e4 % 82.62/12.29 | % 82.62/12.29 | SIMP: (4) implies: % 82.62/12.29 | (5) all_4_8 = e4 % 82.62/12.29 | % 82.62/12.29 | REDUCE: (3), (5) imply: % 82.62/12.29 | (6) $false % 82.62/12.29 | % 82.62/12.29 | CLOSE: (6) is inconsistent. % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #72 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_8_10 = all_4_16 % 82.62/12.29 (2) all_8_10 = e0 % 82.62/12.29 (3) ~ (all_4_16 = e0) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | COMBINE_EQS: (1), (2) imply: % 82.62/12.29 | (4) all_4_16 = e0 % 82.62/12.29 | % 82.62/12.29 | SIMP: (4) implies: % 82.62/12.29 | (5) all_4_16 = e0 % 82.62/12.29 | % 82.62/12.29 | REDUCE: (3), (5) imply: % 82.62/12.29 | (6) $false % 82.62/12.29 | % 82.62/12.29 | CLOSE: (6) is inconsistent. % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #73 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_6_7 = e1 | all_6_7 = e0 % 82.62/12.29 (2) all_6_7 = all_4_11 % 82.62/12.29 (3) ~ (all_4_11 = e1) % 82.62/12.29 (4) ~ (all_4_11 = e0) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | BETA: splitting (1) gives: % 82.62/12.29 | % 82.62/12.29 | Case 1: % 82.62/12.29 | | % 82.62/12.29 | | (5) all_6_7 = e1 % 82.62/12.29 | | % 82.62/12.29 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #74. % 82.62/12.29 | | % 82.62/12.29 | Case 2: % 82.62/12.29 | | % 82.62/12.29 | | (6) all_6_7 = e0 % 82.62/12.29 | | % 82.62/12.29 | | COMBINE_EQS: (2), (6) imply: % 82.62/12.29 | | (7) all_4_11 = e0 % 82.62/12.29 | | % 82.62/12.29 | | SIMP: (7) implies: % 82.62/12.29 | | (8) all_4_11 = e0 % 82.62/12.29 | | % 82.62/12.29 | | REDUCE: (4), (8) imply: % 82.62/12.29 | | (9) $false % 82.62/12.29 | | % 82.62/12.29 | | CLOSE: (9) is inconsistent. % 82.62/12.29 | | % 82.62/12.29 | End of split % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #74 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_6_7 = all_4_11 % 82.62/12.29 (2) all_6_7 = e1 % 82.62/12.29 (3) ~ (all_4_11 = e1) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | COMBINE_EQS: (1), (2) imply: % 82.62/12.29 | (4) all_4_11 = e1 % 82.62/12.29 | % 82.62/12.29 | SIMP: (4) implies: % 82.62/12.29 | (5) all_4_11 = e1 % 82.62/12.29 | % 82.62/12.29 | REDUCE: (3), (5) imply: % 82.62/12.29 | (6) $false % 82.62/12.29 | % 82.62/12.29 | CLOSE: (6) is inconsistent. % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #75 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_10_69 = e3 & ~ (unit = e0) % 82.62/12.29 (2) all_10_69 = all_4_24 % 82.62/12.29 (3) ~ (all_4_24 = e3) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | ALPHA: (1) implies: % 82.62/12.29 | (4) all_10_69 = e3 % 82.62/12.29 | % 82.62/12.29 | COMBINE_EQS: (2), (4) imply: % 82.62/12.29 | (5) all_4_24 = e3 % 82.62/12.29 | % 82.62/12.29 | REDUCE: (3), (5) imply: % 82.62/12.29 | (6) $false % 82.62/12.29 | % 82.62/12.29 | CLOSE: (6) is inconsistent. % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #76 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) ~ (all_4_10 = e1) % 82.62/12.29 (2) all_8_16 = e4 % 82.62/12.29 (3) all_8_4 = all_4_10 % 82.62/12.29 (4) all_8_4 = e1 | all_8_9 = e1 | all_8_16 = e1 % 82.62/12.29 (5) all_8_9 = e3 % 82.62/12.29 (6) ~ (e4 = e1) % 82.62/12.29 (7) ~ (e3 = e1) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | BETA: splitting (4) gives: % 82.62/12.29 | % 82.62/12.29 | Case 1: % 82.62/12.29 | | % 82.62/12.29 | | (8) all_8_4 = e1 % 82.62/12.29 | | % 82.62/12.29 | | COMBINE_EQS: (3), (8) imply: % 82.62/12.29 | | (9) all_4_10 = e1 % 82.62/12.29 | | % 82.62/12.29 | | REDUCE: (1), (9) imply: % 82.62/12.29 | | (10) $false % 82.62/12.29 | | % 82.62/12.29 | | CLOSE: (10) is inconsistent. % 82.62/12.29 | | % 82.62/12.29 | Case 2: % 82.62/12.29 | | % 82.62/12.29 | | (11) all_8_9 = e1 | all_8_16 = e1 % 82.62/12.29 | | % 82.62/12.29 | | BETA: splitting (11) gives: % 82.62/12.29 | | % 82.62/12.29 | | Case 1: % 82.62/12.29 | | | % 82.62/12.29 | | | (12) all_8_9 = e1 % 82.62/12.29 | | | % 82.62/12.29 | | | COMBINE_EQS: (5), (12) imply: % 82.62/12.29 | | | (13) e3 = e1 % 82.62/12.29 | | | % 82.62/12.29 | | | REDUCE: (7), (13) imply: % 82.62/12.29 | | | (14) $false % 82.62/12.29 | | | % 82.62/12.29 | | | CLOSE: (14) is inconsistent. % 82.62/12.29 | | | % 82.62/12.29 | | Case 2: % 82.62/12.29 | | | % 82.62/12.29 | | | (15) all_8_16 = e1 % 82.62/12.29 | | | % 82.62/12.29 | | | REF_CLOSE: (2), (6), (15) are inconsistent by sub-proof #157. % 82.62/12.29 | | | % 82.62/12.29 | | End of split % 82.62/12.29 | | % 82.62/12.29 | End of split % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #77 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_6_2 = all_4_10 % 82.62/12.29 (2) all_6_2 = e3 % 82.62/12.29 (3) ~ (all_4_10 = e3) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | COMBINE_EQS: (1), (2) imply: % 82.62/12.29 | (4) all_4_10 = e3 % 82.62/12.29 | % 82.62/12.29 | SIMP: (4) implies: % 82.62/12.29 | (5) all_4_10 = e3 % 82.62/12.29 | % 82.62/12.29 | REDUCE: (3), (5) imply: % 82.62/12.29 | (6) $false % 82.62/12.29 | % 82.62/12.29 | CLOSE: (6) is inconsistent. % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #78 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_6_2 = all_4_10 % 82.62/12.29 (2) all_6_2 = e2 % 82.62/12.29 (3) ~ (all_4_10 = e2) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | COMBINE_EQS: (1), (2) imply: % 82.62/12.29 | (4) all_4_10 = e2 % 82.62/12.29 | % 82.62/12.29 | SIMP: (4) implies: % 82.62/12.29 | (5) all_4_10 = e2 % 82.62/12.29 | % 82.62/12.29 | REDUCE: (3), (5) imply: % 82.62/12.29 | (6) $false % 82.62/12.29 | % 82.62/12.29 | CLOSE: (6) is inconsistent. % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #79 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_8_22 = e1 % 82.62/12.29 (2) all_8_22 = e0 % 82.62/12.29 (3) ~ (e1 = e0) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | COMBINE_EQS: (1), (2) imply: % 82.62/12.29 | (4) e1 = e0 % 82.62/12.29 | % 82.62/12.29 | SIMP: (4) implies: % 82.62/12.29 | (5) e1 = e0 % 82.62/12.29 | % 82.62/12.29 | REDUCE: (3), (5) imply: % 82.62/12.29 | (6) $false % 82.62/12.29 | % 82.62/12.29 | CLOSE: (6) is inconsistent. % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #80 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_8_23 = e4 % 82.62/12.29 (2) all_8_23 = e0 % 82.62/12.29 (3) ~ (e4 = e0) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | COMBINE_EQS: (1), (2) imply: % 82.62/12.29 | (4) e4 = e0 % 82.62/12.29 | % 82.62/12.29 | SIMP: (4) implies: % 82.62/12.29 | (5) e4 = e0 % 82.62/12.29 | % 82.62/12.29 | REDUCE: (3), (5) imply: % 82.62/12.29 | (6) $false % 82.62/12.29 | % 82.62/12.29 | CLOSE: (6) is inconsistent. % 82.62/12.29 | % 82.62/12.29 End of proof % 82.62/12.29 % 82.62/12.29 Sub-proof #81 shows that the following formulas are inconsistent: % 82.62/12.29 ---------------------------------------------------------------- % 82.62/12.29 (1) all_8_15 = e1 % 82.62/12.29 (2) all_8_15 = e0 % 82.62/12.29 (3) ~ (e1 = e0) % 82.62/12.29 % 82.62/12.29 Begin of proof % 82.62/12.29 | % 82.62/12.29 | COMBINE_EQS: (1), (2) imply: % 82.62/12.30 | (4) e1 = e0 % 82.62/12.30 | % 82.62/12.30 | SIMP: (4) implies: % 82.62/12.30 | (5) e1 = e0 % 82.62/12.30 | % 82.62/12.30 | REDUCE: (3), (5) imply: % 82.62/12.30 | (6) $false % 82.62/12.30 | % 82.62/12.30 | CLOSE: (6) is inconsistent. % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #82 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) all_6_7 = all_4_11 % 82.62/12.30 (2) all_6_7 = e2 % 82.62/12.30 (3) ~ (all_4_11 = e2) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | COMBINE_EQS: (1), (2) imply: % 82.62/12.30 | (4) all_4_11 = e2 % 82.62/12.30 | % 82.62/12.30 | SIMP: (4) implies: % 82.62/12.30 | (5) all_4_11 = e2 % 82.62/12.30 | % 82.62/12.30 | REDUCE: (3), (5) imply: % 82.62/12.30 | (6) $false % 82.62/12.30 | % 82.62/12.30 | CLOSE: (6) is inconsistent. % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #83 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) all_6_7 = all_4_11 % 82.62/12.30 (2) all_6_7 = e4 % 82.62/12.30 (3) ~ (all_4_11 = e4) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | COMBINE_EQS: (1), (2) imply: % 82.62/12.30 | (4) all_4_11 = e4 % 82.62/12.30 | % 82.62/12.30 | SIMP: (4) implies: % 82.62/12.30 | (5) all_4_11 = e4 % 82.62/12.30 | % 82.62/12.30 | REDUCE: (3), (5) imply: % 82.62/12.30 | (6) $false % 82.62/12.30 | % 82.62/12.30 | CLOSE: (6) is inconsistent. % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #84 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) all_8_20 = e2 % 82.62/12.30 (2) all_8_20 = e0 % 82.62/12.30 (3) ~ (e2 = e0) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | COMBINE_EQS: (1), (2) imply: % 82.62/12.30 | (4) e2 = e0 % 82.62/12.30 | % 82.62/12.30 | SIMP: (4) implies: % 82.62/12.30 | (5) e2 = e0 % 82.62/12.30 | % 82.62/12.30 | REDUCE: (3), (5) imply: % 82.62/12.30 | (6) $false % 82.62/12.30 | % 82.62/12.30 | CLOSE: (6) is inconsistent. % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #85 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) all_8_11 = all_4_17 % 82.62/12.30 (2) all_8_11 = e4 % 82.62/12.30 (3) ~ (all_4_17 = e4) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | COMBINE_EQS: (1), (2) imply: % 82.62/12.30 | (4) all_4_17 = e4 % 82.62/12.30 | % 82.62/12.30 | SIMP: (4) implies: % 82.62/12.30 | (5) all_4_17 = e4 % 82.62/12.30 | % 82.62/12.30 | REDUCE: (3), (5) imply: % 82.62/12.30 | (6) $false % 82.62/12.30 | % 82.62/12.30 | CLOSE: (6) is inconsistent. % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #86 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) ~ (all_4_3 = e3) % 82.62/12.30 (2) all_6_15 = e3 | all_6_15 = e1 | all_6_15 = e0 % 82.62/12.30 (3) ~ (all_4_3 = e0) % 82.62/12.30 (4) all_6_15 = all_4_3 % 82.62/12.30 (5) ~ (all_4_3 = e1) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | BETA: splitting (2) gives: % 82.62/12.30 | % 82.62/12.30 | Case 1: % 82.62/12.30 | | % 82.62/12.30 | | (6) all_6_15 = e3 % 82.62/12.30 | | % 82.62/12.30 | | COMBINE_EQS: (4), (6) imply: % 82.62/12.30 | | (7) all_4_3 = e3 % 82.62/12.30 | | % 82.62/12.30 | | SIMP: (7) implies: % 82.62/12.30 | | (8) all_4_3 = e3 % 82.62/12.30 | | % 82.62/12.30 | | REDUCE: (1), (8) imply: % 82.62/12.30 | | (9) $false % 82.62/12.30 | | % 82.62/12.30 | | CLOSE: (9) is inconsistent. % 82.62/12.30 | | % 82.62/12.30 | Case 2: % 82.62/12.30 | | % 82.62/12.30 | | (10) all_6_15 = e1 | all_6_15 = e0 % 82.62/12.30 | | % 82.62/12.30 | | BETA: splitting (10) gives: % 82.62/12.30 | | % 82.62/12.30 | | Case 1: % 82.62/12.30 | | | % 82.62/12.30 | | | (11) all_6_15 = e1 % 82.62/12.30 | | | % 82.62/12.30 | | | COMBINE_EQS: (4), (11) imply: % 82.62/12.30 | | | (12) all_4_3 = e1 % 82.62/12.30 | | | % 82.62/12.30 | | | SIMP: (12) implies: % 82.62/12.30 | | | (13) all_4_3 = e1 % 82.62/12.30 | | | % 82.62/12.30 | | | REDUCE: (5), (13) imply: % 82.62/12.30 | | | (14) $false % 82.62/12.30 | | | % 82.62/12.30 | | | CLOSE: (14) is inconsistent. % 82.62/12.30 | | | % 82.62/12.30 | | Case 2: % 82.62/12.30 | | | % 82.62/12.30 | | | (15) all_6_15 = e0 % 82.62/12.30 | | | % 82.62/12.30 | | | COMBINE_EQS: (4), (15) imply: % 82.62/12.30 | | | (16) all_4_3 = e0 % 82.62/12.30 | | | % 82.62/12.30 | | | SIMP: (16) implies: % 82.62/12.30 | | | (17) all_4_3 = e0 % 82.62/12.30 | | | % 82.62/12.30 | | | REDUCE: (3), (17) imply: % 82.62/12.30 | | | (18) $false % 82.62/12.30 | | | % 82.62/12.30 | | | CLOSE: (18) is inconsistent. % 82.62/12.30 | | | % 82.62/12.30 | | End of split % 82.62/12.30 | | % 82.62/12.30 | End of split % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #87 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) ~ (all_4_4 = e1) % 82.62/12.30 (2) ~ (all_4_4 = e2) % 82.62/12.30 (3) ~ (all_4_4 = e3) % 82.62/12.30 (4) all_6_20 = e3 | all_6_20 = e2 | all_6_20 = e1 | all_6_20 = e0 % 82.62/12.30 (5) all_6_20 = all_4_4 % 82.62/12.30 (6) ~ (all_4_4 = e0) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | BETA: splitting (4) gives: % 82.62/12.30 | % 82.62/12.30 | Case 1: % 82.62/12.30 | | % 82.62/12.30 | | (7) all_6_20 = e2 % 82.62/12.30 | | % 82.62/12.30 | | COMBINE_EQS: (5), (7) imply: % 82.62/12.30 | | (8) all_4_4 = e2 % 82.62/12.30 | | % 82.62/12.30 | | SIMP: (8) implies: % 82.62/12.30 | | (9) all_4_4 = e2 % 82.62/12.30 | | % 82.62/12.30 | | REDUCE: (2), (9) imply: % 82.62/12.30 | | (10) $false % 82.62/12.30 | | % 82.62/12.30 | | CLOSE: (10) is inconsistent. % 82.62/12.30 | | % 82.62/12.30 | Case 2: % 82.62/12.30 | | % 82.62/12.30 | | (11) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0 % 82.62/12.30 | | % 82.62/12.30 | | REF_CLOSE: (1), (3), (5), (6), (11) are inconsistent by sub-proof #140. % 82.62/12.30 | | % 82.62/12.30 | End of split % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #88 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) all_8_18 = all_4_22 % 82.62/12.30 (2) all_8_18 = e4 % 82.62/12.30 (3) ~ (all_4_22 = e4) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | COMBINE_EQS: (1), (2) imply: % 82.62/12.30 | (4) all_4_22 = e4 % 82.62/12.30 | % 82.62/12.30 | SIMP: (4) implies: % 82.62/12.30 | (5) all_4_22 = e4 % 82.62/12.30 | % 82.62/12.30 | REDUCE: (3), (5) imply: % 82.62/12.30 | (6) $false % 82.62/12.30 | % 82.62/12.30 | CLOSE: (6) is inconsistent. % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #89 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) ~ (all_4_13 = e0) % 82.62/12.30 (2) all_8_8 = e4 % 82.62/12.30 (3) all_8_8 = e0 | all_8_14 = e0 | all_8_22 = e0 % 82.62/12.30 (4) ~ (all_4_14 = e0) % 82.62/12.30 (5) all_8_22 = all_4_14 % 82.62/12.30 (6) all_8_14 = all_4_13 % 82.62/12.30 (7) ~ (e4 = e0) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | BETA: splitting (3) gives: % 82.62/12.30 | % 82.62/12.30 | Case 1: % 82.62/12.30 | | % 82.62/12.30 | | (8) all_8_8 = e0 % 82.62/12.30 | | % 82.62/12.30 | | COMBINE_EQS: (2), (8) imply: % 82.62/12.30 | | (9) e4 = e0 % 82.62/12.30 | | % 82.62/12.30 | | REDUCE: (7), (9) imply: % 82.62/12.30 | | (10) $false % 82.62/12.30 | | % 82.62/12.30 | | CLOSE: (10) is inconsistent. % 82.62/12.30 | | % 82.62/12.30 | Case 2: % 82.62/12.30 | | % 82.62/12.30 | | (11) all_8_14 = e0 | all_8_22 = e0 % 82.62/12.30 | | % 82.62/12.30 | | BETA: splitting (11) gives: % 82.62/12.30 | | % 82.62/12.30 | | Case 1: % 82.62/12.30 | | | % 82.62/12.30 | | | (12) all_8_14 = e0 % 82.62/12.30 | | | % 82.62/12.30 | | | REF_CLOSE: (1), (6), (12) are inconsistent by sub-proof #91. % 82.62/12.30 | | | % 82.62/12.30 | | Case 2: % 82.62/12.30 | | | % 82.62/12.30 | | | (13) all_8_22 = e0 % 82.62/12.30 | | | % 82.62/12.30 | | | REF_CLOSE: (4), (5), (13) are inconsistent by sub-proof #90. % 82.62/12.30 | | | % 82.62/12.30 | | End of split % 82.62/12.30 | | % 82.62/12.30 | End of split % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #90 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) all_8_22 = all_4_14 % 82.62/12.30 (2) all_8_22 = e0 % 82.62/12.30 (3) ~ (all_4_14 = e0) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | COMBINE_EQS: (1), (2) imply: % 82.62/12.30 | (4) all_4_14 = e0 % 82.62/12.30 | % 82.62/12.30 | SIMP: (4) implies: % 82.62/12.30 | (5) all_4_14 = e0 % 82.62/12.30 | % 82.62/12.30 | REDUCE: (3), (5) imply: % 82.62/12.30 | (6) $false % 82.62/12.30 | % 82.62/12.30 | CLOSE: (6) is inconsistent. % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #91 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) all_8_14 = all_4_13 % 82.62/12.30 (2) all_8_14 = e0 % 82.62/12.30 (3) ~ (all_4_13 = e0) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | COMBINE_EQS: (1), (2) imply: % 82.62/12.30 | (4) all_4_13 = e0 % 82.62/12.30 | % 82.62/12.30 | SIMP: (4) implies: % 82.62/12.30 | (5) all_4_13 = e0 % 82.62/12.30 | % 82.62/12.30 | REDUCE: (3), (5) imply: % 82.62/12.30 | (6) $false % 82.62/12.30 | % 82.62/12.30 | CLOSE: (6) is inconsistent. % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #92 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) all_6_17 = all_4_13 % 82.62/12.30 (2) all_6_17 = e0 % 82.62/12.30 (3) ~ (all_4_13 = e0) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | COMBINE_EQS: (1), (2) imply: % 82.62/12.30 | (4) all_4_13 = e0 % 82.62/12.30 | % 82.62/12.30 | SIMP: (4) implies: % 82.62/12.30 | (5) all_4_13 = e0 % 82.62/12.30 | % 82.62/12.30 | REDUCE: (3), (5) imply: % 82.62/12.30 | (6) $false % 82.62/12.30 | % 82.62/12.30 | CLOSE: (6) is inconsistent. % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #93 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) all_6_17 = all_4_13 % 82.62/12.30 (2) all_6_17 = e1 % 82.62/12.30 (3) ~ (all_4_13 = e1) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | COMBINE_EQS: (1), (2) imply: % 82.62/12.30 | (4) all_4_13 = e1 % 82.62/12.30 | % 82.62/12.30 | SIMP: (4) implies: % 82.62/12.30 | (5) all_4_13 = e1 % 82.62/12.30 | % 82.62/12.30 | REDUCE: (3), (5) imply: % 82.62/12.30 | (6) $false % 82.62/12.30 | % 82.62/12.30 | CLOSE: (6) is inconsistent. % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #94 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) all_8_2 = e3 % 82.62/12.30 (2) all_8_2 = e1 % 82.62/12.30 (3) ~ (e3 = e1) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | COMBINE_EQS: (1), (2) imply: % 82.62/12.30 | (4) e3 = e1 % 82.62/12.30 | % 82.62/12.30 | SIMP: (4) implies: % 82.62/12.30 | (5) e3 = e1 % 82.62/12.30 | % 82.62/12.30 | REDUCE: (3), (5) imply: % 82.62/12.30 | (6) $false % 82.62/12.30 | % 82.62/12.30 | CLOSE: (6) is inconsistent. % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #95 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) all_8_21 = all_4_9 % 82.62/12.30 (2) all_8_21 = e0 % 82.62/12.30 (3) ~ (all_4_9 = e0) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | COMBINE_EQS: (1), (2) imply: % 82.62/12.30 | (4) all_4_9 = e0 % 82.62/12.30 | % 82.62/12.30 | SIMP: (4) implies: % 82.62/12.30 | (5) all_4_9 = e0 % 82.62/12.30 | % 82.62/12.30 | REDUCE: (3), (5) imply: % 82.62/12.30 | (6) $false % 82.62/12.30 | % 82.62/12.30 | CLOSE: (6) is inconsistent. % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #96 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) all_8_18 = all_4_22 % 82.62/12.30 (2) all_8_18 = e3 % 82.62/12.30 (3) ~ (all_4_22 = e3) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | COMBINE_EQS: (1), (2) imply: % 82.62/12.30 | (4) all_4_22 = e3 % 82.62/12.30 | % 82.62/12.30 | SIMP: (4) implies: % 82.62/12.30 | (5) all_4_22 = e3 % 82.62/12.30 | % 82.62/12.30 | REDUCE: (3), (5) imply: % 82.62/12.30 | (6) $false % 82.62/12.30 | % 82.62/12.30 | CLOSE: (6) is inconsistent. % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #97 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) all_8_12 = e2 % 82.62/12.30 (2) all_8_12 = e0 % 82.62/12.30 (3) ~ (e2 = e0) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | COMBINE_EQS: (1), (2) imply: % 82.62/12.30 | (4) e2 = e0 % 82.62/12.30 | % 82.62/12.30 | SIMP: (4) implies: % 82.62/12.30 | (5) e2 = e0 % 82.62/12.30 | % 82.62/12.30 | REDUCE: (3), (5) imply: % 82.62/12.30 | (6) $false % 82.62/12.30 | % 82.62/12.30 | CLOSE: (6) is inconsistent. % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #98 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) all_8_19 = all_4_23 % 82.62/12.30 (2) all_8_19 = e4 % 82.62/12.30 (3) ~ (all_4_23 = e4) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | COMBINE_EQS: (1), (2) imply: % 82.62/12.30 | (4) all_4_23 = e4 % 82.62/12.30 | % 82.62/12.30 | SIMP: (4) implies: % 82.62/12.30 | (5) all_4_23 = e4 % 82.62/12.30 | % 82.62/12.30 | REDUCE: (3), (5) imply: % 82.62/12.30 | (6) $false % 82.62/12.30 | % 82.62/12.30 | CLOSE: (6) is inconsistent. % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #99 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) all_8_15 = all_4_18 % 82.62/12.30 (2) all_8_15 = e4 % 82.62/12.30 (3) ~ (all_4_18 = e4) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | COMBINE_EQS: (1), (2) imply: % 82.62/12.30 | (4) all_4_18 = e4 % 82.62/12.30 | % 82.62/12.30 | SIMP: (4) implies: % 82.62/12.30 | (5) all_4_18 = e4 % 82.62/12.30 | % 82.62/12.30 | REDUCE: (3), (5) imply: % 82.62/12.30 | (6) $false % 82.62/12.30 | % 82.62/12.30 | CLOSE: (6) is inconsistent. % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #100 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) all_8_14 = all_4_13 % 82.62/12.30 (2) all_8_14 = e4 % 82.62/12.30 (3) ~ (all_4_13 = e4) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | COMBINE_EQS: (1), (2) imply: % 82.62/12.30 | (4) all_4_13 = e4 % 82.62/12.30 | % 82.62/12.30 | SIMP: (4) implies: % 82.62/12.30 | (5) all_4_13 = e4 % 82.62/12.30 | % 82.62/12.30 | REDUCE: (3), (5) imply: % 82.62/12.30 | (6) $false % 82.62/12.30 | % 82.62/12.30 | CLOSE: (6) is inconsistent. % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #101 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) all_6_22 = all_4_14 % 82.62/12.30 (2) ~ (all_4_14 = e1) % 82.62/12.30 (3) all_6_22 = e3 | all_6_22 = e1 | all_6_22 = e0 % 82.62/12.30 (4) ~ (all_4_14 = e0) % 82.62/12.30 (5) ~ (all_4_14 = e3) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | BETA: splitting (3) gives: % 82.62/12.30 | % 82.62/12.30 | Case 1: % 82.62/12.30 | | % 82.62/12.30 | | (6) all_6_22 = e3 % 82.62/12.30 | | % 82.62/12.30 | | COMBINE_EQS: (1), (6) imply: % 82.62/12.30 | | (7) all_4_14 = e3 % 82.62/12.30 | | % 82.62/12.30 | | REDUCE: (5), (7) imply: % 82.62/12.30 | | (8) $false % 82.62/12.30 | | % 82.62/12.30 | | CLOSE: (8) is inconsistent. % 82.62/12.30 | | % 82.62/12.30 | Case 2: % 82.62/12.30 | | % 82.62/12.30 | | (9) all_6_22 = e1 | all_6_22 = e0 % 82.62/12.30 | | % 82.62/12.30 | | REF_CLOSE: (1), (2), (4), (9) are inconsistent by sub-proof #102. % 82.62/12.30 | | % 82.62/12.30 | End of split % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #102 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) all_6_22 = e1 | all_6_22 = e0 % 82.62/12.30 (2) all_6_22 = all_4_14 % 82.62/12.30 (3) ~ (all_4_14 = e1) % 82.62/12.30 (4) ~ (all_4_14 = e0) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | BETA: splitting (1) gives: % 82.62/12.30 | % 82.62/12.30 | Case 1: % 82.62/12.30 | | % 82.62/12.30 | | (5) all_6_22 = e1 % 82.62/12.30 | | % 82.62/12.30 | | COMBINE_EQS: (2), (5) imply: % 82.62/12.30 | | (6) all_4_14 = e1 % 82.62/12.30 | | % 82.62/12.30 | | REDUCE: (3), (6) imply: % 82.62/12.30 | | (7) $false % 82.62/12.30 | | % 82.62/12.30 | | CLOSE: (7) is inconsistent. % 82.62/12.30 | | % 82.62/12.30 | Case 2: % 82.62/12.30 | | % 82.62/12.30 | | (8) all_6_22 = e0 % 82.62/12.30 | | % 82.62/12.30 | | COMBINE_EQS: (2), (8) imply: % 82.62/12.30 | | (9) all_4_14 = e0 % 82.62/12.30 | | % 82.62/12.30 | | REDUCE: (4), (9) imply: % 82.62/12.30 | | (10) $false % 82.62/12.30 | | % 82.62/12.30 | | CLOSE: (10) is inconsistent. % 82.62/12.30 | | % 82.62/12.30 | End of split % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #103 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) all_10_53 = e0 & ~ (all_10_54 = e1) % 82.62/12.30 (2) all_10_53 = e4 % 82.62/12.30 (3) ~ (e4 = e0) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | ALPHA: (1) implies: % 82.62/12.30 | (4) all_10_53 = e0 % 82.62/12.30 | % 82.62/12.30 | COMBINE_EQS: (2), (4) imply: % 82.62/12.30 | (5) e4 = e0 % 82.62/12.30 | % 82.62/12.30 | SIMP: (5) implies: % 82.62/12.30 | (6) e4 = e0 % 82.62/12.30 | % 82.62/12.30 | REDUCE: (3), (6) imply: % 82.62/12.30 | (7) $false % 82.62/12.30 | % 82.62/12.30 | CLOSE: (7) is inconsistent. % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #104 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) all_8_15 = all_4_18 % 82.62/12.30 (2) ~ (all_4_18 = e0) % 82.62/12.30 (3) all_8_19 = all_4_23 % 82.62/12.30 (4) ~ (all_4_23 = e0) % 82.62/12.30 (5) all_8_15 = e0 | all_8_19 = e0 % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | BETA: splitting (5) gives: % 82.62/12.30 | % 82.62/12.30 | Case 1: % 82.62/12.30 | | % 82.62/12.30 | | (6) all_8_15 = e0 % 82.62/12.30 | | % 82.62/12.30 | | COMBINE_EQS: (1), (6) imply: % 82.62/12.30 | | (7) all_4_18 = e0 % 82.62/12.30 | | % 82.62/12.30 | | SIMP: (7) implies: % 82.62/12.30 | | (8) all_4_18 = e0 % 82.62/12.30 | | % 82.62/12.30 | | REDUCE: (2), (8) imply: % 82.62/12.30 | | (9) $false % 82.62/12.30 | | % 82.62/12.30 | | CLOSE: (9) is inconsistent. % 82.62/12.30 | | % 82.62/12.30 | Case 2: % 82.62/12.30 | | % 82.62/12.30 | | (10) all_8_19 = e0 % 82.62/12.30 | | % 82.62/12.30 | | REF_CLOSE: (3), (4), (10) are inconsistent by sub-proof #105. % 82.62/12.30 | | % 82.62/12.30 | End of split % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #105 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) all_8_19 = all_4_23 % 82.62/12.30 (2) all_8_19 = e0 % 82.62/12.30 (3) ~ (all_4_23 = e0) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | COMBINE_EQS: (1), (2) imply: % 82.62/12.30 | (4) all_4_23 = e0 % 82.62/12.30 | % 82.62/12.30 | SIMP: (4) implies: % 82.62/12.30 | (5) all_4_23 = e0 % 82.62/12.30 | % 82.62/12.30 | REDUCE: (3), (5) imply: % 82.62/12.30 | (6) $false % 82.62/12.30 | % 82.62/12.30 | CLOSE: (6) is inconsistent. % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #106 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) all_8_13 = e4 % 82.62/12.30 (2) all_8_13 = e0 % 82.62/12.30 (3) ~ (e4 = e0) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | COMBINE_EQS: (1), (2) imply: % 82.62/12.30 | (4) e4 = e0 % 82.62/12.30 | % 82.62/12.30 | SIMP: (4) implies: % 82.62/12.30 | (5) e4 = e0 % 82.62/12.30 | % 82.62/12.30 | REDUCE: (3), (5) imply: % 82.62/12.30 | (6) $false % 82.62/12.30 | % 82.62/12.30 | CLOSE: (6) is inconsistent. % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #107 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) all_6_9 = e1 | all_6_9 = e0 % 82.62/12.30 (2) all_6_9 = all_4_21 % 82.62/12.30 (3) ~ (all_4_21 = e1) % 82.62/12.30 (4) ~ (all_4_21 = e0) % 82.62/12.30 % 82.62/12.30 Begin of proof % 82.62/12.30 | % 82.62/12.30 | BETA: splitting (1) gives: % 82.62/12.30 | % 82.62/12.30 | Case 1: % 82.62/12.30 | | % 82.62/12.30 | | (5) all_6_9 = e1 % 82.62/12.30 | | % 82.62/12.30 | | COMBINE_EQS: (2), (5) imply: % 82.62/12.30 | | (6) all_4_21 = e1 % 82.62/12.30 | | % 82.62/12.30 | | REDUCE: (3), (6) imply: % 82.62/12.30 | | (7) $false % 82.62/12.30 | | % 82.62/12.30 | | CLOSE: (7) is inconsistent. % 82.62/12.30 | | % 82.62/12.30 | Case 2: % 82.62/12.30 | | % 82.62/12.30 | | (8) all_6_9 = e0 % 82.62/12.30 | | % 82.62/12.30 | | COMBINE_EQS: (2), (8) imply: % 82.62/12.30 | | (9) all_4_21 = e0 % 82.62/12.30 | | % 82.62/12.30 | | REDUCE: (4), (9) imply: % 82.62/12.30 | | (10) $false % 82.62/12.30 | | % 82.62/12.30 | | CLOSE: (10) is inconsistent. % 82.62/12.30 | | % 82.62/12.30 | End of split % 82.62/12.30 | % 82.62/12.30 End of proof % 82.62/12.30 % 82.62/12.30 Sub-proof #108 shows that the following formulas are inconsistent: % 82.62/12.30 ---------------------------------------------------------------- % 82.62/12.30 (1) ~ (all_4_17 = all_4_18) % 82.62/12.30 (2) ~ (all_4_17 = e2) % 82.62/12.30 (3) all_6_19 = all_4_23 % 82.62/12.30 (4) ~ (all_4_18 = e2) % 82.62/12.30 (5) all_8_4 = e1 % 82.62/12.30 (6) all_6_19 = e1 | all_6_19 = e0 % 82.62/12.30 (7) all_8_8 = e4 % 82.62/12.30 (8) op(e1, all_4_23) = all_10_66 % 82.62/12.30 (9) all_8_10 = e4 % 82.62/12.30 (10) all_8_11 = all_4_17 % 82.62/12.30 (11) op(e1, all_4_17) = e2 % 82.62/12.30 (12) ~ (all_4_11 = e2) % 82.62/12.30 (13) all_8_22 = e2 % 82.62/12.30 (14) all_8_10 = e1 | all_8_11 = e1 | all_8_15 = e1 | all_8_23 = e1 % 82.62/12.30 (15) all_8_4 = e2 | all_8_5 = e2 | all_8_8 = e2 | all_8_14 = e2 | all_8_22 = % 82.62/12.30 e2 % 82.62/12.30 (16) ~ (all_4_23 = e4) % 82.62/12.30 (17) all_10_67 = all_4_23 % 82.62/12.30 (18) ~ (all_4_17 = e3) % 82.62/12.30 (19) op(e1, e1) = all_4_18 % 82.62/12.30 (20) all_6_13 = all_4_17 % 82.62/12.30 (21) all_6_13 = e3 | all_6_13 = e2 | all_6_13 = e1 | all_6_13 = e0 % 82.62/12.31 (22) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 82.62/12.31 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0)) % 82.62/12.31 (23) all_8_14 = all_4_13 % 82.62/12.31 (24) ~ (all_4_23 = e0) % 82.62/12.31 (25) all_10_52 = all_4_18 % 82.62/12.31 (26) all_8_5 = all_4_11 % 82.62/12.31 (27) ~ (e4 = e2) % 82.62/12.31 (28) ~ (all_10_67 = e1) | (all_10_52 = e0 & ~ (unit = e1)) % 82.62/12.31 (29) ~ (all_4_13 = e2) % 82.62/12.31 % 82.62/12.31 Begin of proof % 82.62/12.31 | % 82.62/12.31 | BETA: splitting (6) gives: % 82.62/12.31 | % 82.62/12.31 | Case 1: % 82.62/12.31 | | % 82.62/12.31 | | (30) all_6_19 = e1 % 82.62/12.31 | | % 82.62/12.31 | | COMBINE_EQS: (3), (30) imply: % 82.62/12.31 | | (31) all_4_23 = e1 % 82.62/12.31 | | % 82.62/12.31 | | SIMP: (31) implies: % 82.62/12.31 | | (32) all_4_23 = e1 % 82.62/12.31 | | % 82.62/12.31 | | COMBINE_EQS: (17), (32) imply: % 82.62/12.31 | | (33) all_10_67 = e1 % 82.62/12.31 | | % 82.62/12.31 | | REDUCE: (16), (32) imply: % 82.62/12.31 | | (34) ~ (e4 = e1) % 82.62/12.31 | | % 82.62/12.31 | | SIMP: (34) implies: % 82.62/12.31 | | (35) ~ (e4 = e1) % 82.62/12.31 | | % 82.62/12.31 | | REDUCE: (8), (32) imply: % 82.62/12.31 | | (36) op(e1, e1) = all_10_66 % 82.62/12.31 | | % 82.62/12.31 | | BETA: splitting (28) gives: % 82.62/12.31 | | % 82.62/12.31 | | Case 1: % 82.62/12.31 | | | % 82.62/12.31 | | | (37) ~ (all_10_67 = e1) % 82.62/12.31 | | | % 82.62/12.31 | | | REDUCE: (33), (37) imply: % 82.62/12.31 | | | (38) $false % 82.62/12.31 | | | % 82.62/12.31 | | | CLOSE: (38) is inconsistent. % 82.62/12.31 | | | % 82.62/12.31 | | Case 2: % 82.62/12.31 | | | % 82.62/12.31 | | | (39) all_10_52 = e0 & ~ (unit = e1) % 82.62/12.31 | | | % 82.62/12.31 | | | ALPHA: (39) implies: % 82.62/12.31 | | | (40) all_10_52 = e0 % 82.62/12.31 | | | % 82.62/12.31 | | | COMBINE_EQS: (25), (40) imply: % 82.62/12.31 | | | (41) all_4_18 = e0 % 82.62/12.31 | | | % 82.62/12.31 | | | REDUCE: (1), (41) imply: % 82.62/12.31 | | | (42) ~ (all_4_17 = e0) % 82.62/12.31 | | | % 82.62/12.31 | | | REDUCE: (4), (41) imply: % 82.62/12.31 | | | (43) ~ (e2 = e0) % 82.62/12.31 | | | % 82.62/12.31 | | | SIMP: (43) implies: % 82.62/12.31 | | | (44) ~ (e2 = e0) % 82.62/12.31 | | | % 82.62/12.31 | | | REDUCE: (19), (41) imply: % 82.62/12.31 | | | (45) op(e1, e1) = e0 % 82.62/12.31 | | | % 82.62/12.31 | | | BETA: splitting (14) gives: % 82.62/12.31 | | | % 82.62/12.31 | | | Case 1: % 82.62/12.31 | | | | % 82.62/12.31 | | | | (46) all_8_10 = e1 % 82.62/12.31 | | | | % 82.62/12.31 | | | | COMBINE_EQS: (9), (46) imply: % 82.62/12.31 | | | | (47) e4 = e1 % 82.62/12.31 | | | | % 82.62/12.31 | | | | REDUCE: (35), (47) imply: % 82.62/12.31 | | | | (48) $false % 82.62/12.31 | | | | % 82.62/12.31 | | | | CLOSE: (48) is inconsistent. % 82.62/12.31 | | | | % 82.62/12.31 | | | Case 2: % 82.62/12.31 | | | | % 82.62/12.31 | | | | (49) all_8_11 = e1 | all_8_15 = e1 | all_8_23 = e1 % 82.62/12.31 | | | | % 82.62/12.31 | | | | BETA: splitting (21) gives: % 82.62/12.31 | | | | % 82.62/12.31 | | | | Case 1: % 82.62/12.31 | | | | | % 82.62/12.31 | | | | | (50) all_6_13 = e2 % 82.62/12.31 | | | | | % 82.62/12.31 | | | | | COMBINE_EQS: (20), (50) imply: % 82.62/12.31 | | | | | (51) all_4_17 = e2 % 82.62/12.31 | | | | | % 82.62/12.31 | | | | | SIMP: (51) implies: % 82.62/12.31 | | | | | (52) all_4_17 = e2 % 82.62/12.31 | | | | | % 82.62/12.31 | | | | | REDUCE: (2), (52) imply: % 82.62/12.31 | | | | | (53) $false % 82.62/12.31 | | | | | % 82.62/12.31 | | | | | CLOSE: (53) is inconsistent. % 82.62/12.31 | | | | | % 82.62/12.31 | | | | Case 2: % 82.62/12.31 | | | | | % 82.62/12.31 | | | | | (54) ~ (all_6_13 = e2) % 82.62/12.31 | | | | | (55) all_6_13 = e3 | all_6_13 = e1 | all_6_13 = e0 % 82.62/12.31 | | | | | % 82.62/12.31 | | | | | BETA: splitting (49) gives: % 82.62/12.31 | | | | | % 82.62/12.31 | | | | | Case 1: % 82.62/12.31 | | | | | | % 82.62/12.31 | | | | | | (56) all_8_11 = e1 % 82.62/12.31 | | | | | | % 82.62/12.31 | | | | | | COMBINE_EQS: (10), (56) imply: % 82.62/12.31 | | | | | | (57) all_4_17 = e1 % 82.62/12.31 | | | | | | % 82.62/12.31 | | | | | | SIMP: (57) implies: % 82.62/12.31 | | | | | | (58) all_4_17 = e1 % 82.62/12.31 | | | | | | % 82.62/12.31 | | | | | | REDUCE: (2), (58) imply: % 82.62/12.31 | | | | | | (59) ~ (e2 = e1) % 82.62/12.31 | | | | | | % 82.62/12.31 | | | | | | SIMP: (59) implies: % 82.62/12.31 | | | | | | (60) ~ (e2 = e1) % 82.62/12.31 | | | | | | % 82.62/12.31 | | | | | | REDUCE: (11), (58) imply: % 82.62/12.31 | | | | | | (61) op(e1, e1) = e2 % 82.62/12.31 | | | | | | % 82.62/12.31 | | | | | | GROUND_INST: instantiating (22) with e2, all_10_66, e1, e1, % 82.62/12.31 | | | | | | simplifying with (36), (61) gives: % 82.62/12.31 | | | | | | (62) all_10_66 = e2 % 82.62/12.31 | | | | | | % 82.62/12.31 | | | | | | GROUND_INST: instantiating (22) with e0, all_10_66, e1, e1, % 82.62/12.31 | | | | | | simplifying with (36), (45) gives: % 82.62/12.31 | | | | | | (63) all_10_66 = e0 % 82.62/12.31 | | | | | | % 82.62/12.31 | | | | | | COMBINE_EQS: (62), (63) imply: % 82.62/12.31 | | | | | | (64) e2 = e0 % 82.62/12.31 | | | | | | % 82.62/12.31 | | | | | | SIMP: (64) implies: % 82.62/12.31 | | | | | | (65) e2 = e0 % 82.62/12.31 | | | | | | % 82.62/12.31 | | | | | | COMBINE_EQS: (13), (65) imply: % 82.62/12.31 | | | | | | (66) all_8_22 = e0 % 82.62/12.31 | | | | | | % 82.62/12.31 | | | | | | REF_CLOSE: (5), (7), (12), (15), (23), (26), (27), (29), (44), (60), % 82.62/12.31 | | | | | | (66) are inconsistent by sub-proof #116. % 82.62/12.31 | | | | | | % 82.62/12.31 | | | | | Case 2: % 82.62/12.31 | | | | | | % 82.62/12.31 | | | | | | (67) ~ (all_8_11 = e1) % 82.62/12.31 | | | | | | % 82.62/12.31 | | | | | | REDUCE: (10), (67) imply: % 82.62/12.31 | | | | | | (68) ~ (all_4_17 = e1) % 82.62/12.31 | | | | | | % 82.62/12.31 | | | | | | REF_CLOSE: (18), (20), (42), (55), (68) are inconsistent by % 82.62/12.31 | | | | | | sub-proof #110. % 82.62/12.31 | | | | | | % 82.62/12.31 | | | | | End of split % 82.62/12.31 | | | | | % 82.62/12.31 | | | | End of split % 82.62/12.31 | | | | % 82.62/12.31 | | | End of split % 82.62/12.31 | | | % 82.62/12.31 | | End of split % 82.62/12.31 | | % 82.62/12.31 | Case 2: % 82.62/12.31 | | % 82.62/12.31 | | (69) all_6_19 = e0 % 82.62/12.31 | | % 82.62/12.31 | | REF_CLOSE: (3), (24), (69) are inconsistent by sub-proof #109. % 82.62/12.31 | | % 82.62/12.31 | End of split % 82.62/12.31 | % 82.62/12.31 End of proof % 82.62/12.31 % 82.62/12.31 Sub-proof #109 shows that the following formulas are inconsistent: % 82.62/12.31 ---------------------------------------------------------------- % 82.62/12.31 (1) all_6_19 = all_4_23 % 82.62/12.31 (2) all_6_19 = e0 % 82.62/12.31 (3) ~ (all_4_23 = e0) % 82.62/12.31 % 82.62/12.31 Begin of proof % 82.62/12.31 | % 82.62/12.31 | COMBINE_EQS: (1), (2) imply: % 82.62/12.31 | (4) all_4_23 = e0 % 82.62/12.31 | % 82.62/12.31 | SIMP: (4) implies: % 82.62/12.31 | (5) all_4_23 = e0 % 82.62/12.31 | % 82.62/12.31 | REDUCE: (3), (5) imply: % 82.62/12.31 | (6) $false % 82.62/12.31 | % 82.62/12.31 | CLOSE: (6) is inconsistent. % 82.62/12.31 | % 82.62/12.31 End of proof % 82.62/12.31 % 82.62/12.31 Sub-proof #110 shows that the following formulas are inconsistent: % 82.62/12.31 ---------------------------------------------------------------- % 82.62/12.31 (1) ~ (all_4_17 = e0) % 82.62/12.31 (2) ~ (all_4_17 = e1) % 82.62/12.31 (3) ~ (all_4_17 = e3) % 82.62/12.31 (4) all_6_13 = all_4_17 % 82.62/12.31 (5) all_6_13 = e3 | all_6_13 = e1 | all_6_13 = e0 % 82.62/12.31 % 82.62/12.31 Begin of proof % 82.62/12.31 | % 82.62/12.31 | BETA: splitting (5) gives: % 82.62/12.31 | % 82.62/12.31 | Case 1: % 82.62/12.31 | | % 82.62/12.31 | | (6) all_6_13 = e3 % 82.62/12.31 | | % 82.62/12.31 | | REF_CLOSE: (3), (4), (6) are inconsistent by sub-proof #112. % 82.62/12.31 | | % 82.62/12.31 | Case 2: % 82.62/12.31 | | % 82.62/12.31 | | (7) all_6_13 = e1 | all_6_13 = e0 % 82.62/12.31 | | % 82.62/12.31 | | BETA: splitting (7) gives: % 82.62/12.31 | | % 82.62/12.31 | | Case 1: % 82.62/12.31 | | | % 82.62/12.31 | | | (8) all_6_13 = e1 % 82.62/12.31 | | | % 82.62/12.31 | | | COMBINE_EQS: (4), (8) imply: % 82.62/12.31 | | | (9) all_4_17 = e1 % 82.62/12.31 | | | % 82.62/12.31 | | | SIMP: (9) implies: % 82.62/12.31 | | | (10) all_4_17 = e1 % 82.62/12.31 | | | % 82.62/12.31 | | | REDUCE: (2), (10) imply: % 82.62/12.31 | | | (11) $false % 82.62/12.31 | | | % 82.62/12.31 | | | CLOSE: (11) is inconsistent. % 82.62/12.31 | | | % 82.62/12.31 | | Case 2: % 82.62/12.31 | | | % 82.62/12.31 | | | (12) all_6_13 = e0 % 82.62/12.31 | | | % 82.62/12.31 | | | REF_CLOSE: (1), (4), (12) are inconsistent by sub-proof #111. % 82.62/12.31 | | | % 82.62/12.31 | | End of split % 82.62/12.31 | | % 82.62/12.31 | End of split % 82.62/12.31 | % 82.62/12.31 End of proof % 82.62/12.31 % 82.62/12.31 Sub-proof #111 shows that the following formulas are inconsistent: % 82.62/12.31 ---------------------------------------------------------------- % 82.62/12.31 (1) all_6_13 = all_4_17 % 82.62/12.31 (2) all_6_13 = e0 % 82.62/12.31 (3) ~ (all_4_17 = e0) % 82.62/12.31 % 82.62/12.31 Begin of proof % 82.62/12.31 | % 82.62/12.31 | COMBINE_EQS: (1), (2) imply: % 82.62/12.31 | (4) all_4_17 = e0 % 82.62/12.31 | % 82.62/12.31 | SIMP: (4) implies: % 82.62/12.31 | (5) all_4_17 = e0 % 82.62/12.31 | % 82.62/12.31 | REDUCE: (3), (5) imply: % 82.62/12.31 | (6) $false % 82.62/12.31 | % 82.62/12.31 | CLOSE: (6) is inconsistent. % 82.62/12.31 | % 82.62/12.31 End of proof % 82.62/12.31 % 82.62/12.31 Sub-proof #112 shows that the following formulas are inconsistent: % 82.62/12.31 ---------------------------------------------------------------- % 82.62/12.31 (1) all_6_13 = all_4_17 % 82.62/12.31 (2) all_6_13 = e3 % 82.62/12.31 (3) ~ (all_4_17 = e3) % 82.62/12.31 % 82.62/12.31 Begin of proof % 82.62/12.31 | % 82.62/12.31 | COMBINE_EQS: (1), (2) imply: % 82.62/12.31 | (4) all_4_17 = e3 % 82.62/12.31 | % 82.62/12.31 | SIMP: (4) implies: % 82.62/12.31 | (5) all_4_17 = e3 % 82.62/12.31 | % 82.62/12.31 | REDUCE: (3), (5) imply: % 82.62/12.31 | (6) $false % 82.62/12.31 | % 82.62/12.31 | CLOSE: (6) is inconsistent. % 82.62/12.31 | % 82.62/12.31 End of proof % 82.62/12.31 % 82.62/12.31 Sub-proof #113 shows that the following formulas are inconsistent: % 82.62/12.31 ---------------------------------------------------------------- % 82.62/12.31 (1) all_6_19 = all_4_23 % 82.62/12.31 (2) all_6_19 = e3 % 82.62/12.31 (3) ~ (all_4_23 = e3) % 82.62/12.31 % 82.62/12.31 Begin of proof % 82.62/12.31 | % 82.62/12.31 | COMBINE_EQS: (1), (2) imply: % 82.62/12.31 | (4) all_4_23 = e3 % 82.62/12.31 | % 82.62/12.31 | SIMP: (4) implies: % 82.62/12.31 | (5) all_4_23 = e3 % 82.62/12.31 | % 82.62/12.31 | REDUCE: (3), (5) imply: % 82.62/12.31 | (6) $false % 82.62/12.31 | % 82.62/12.31 | CLOSE: (6) is inconsistent. % 82.62/12.31 | % 82.62/12.31 End of proof % 82.62/12.31 % 82.75/12.31 Sub-proof #114 shows that the following formulas are inconsistent: % 82.75/12.31 ---------------------------------------------------------------- % 82.75/12.31 (1) all_6_19 = all_4_23 % 82.75/12.31 (2) all_6_19 = e2 % 82.75/12.31 (3) ~ (all_4_23 = e2) % 82.75/12.31 % 82.75/12.31 Begin of proof % 82.75/12.31 | % 82.75/12.31 | COMBINE_EQS: (1), (2) imply: % 82.75/12.31 | (4) all_4_23 = e2 % 82.75/12.31 | % 82.75/12.31 | SIMP: (4) implies: % 82.75/12.31 | (5) all_4_23 = e2 % 82.75/12.31 | % 82.75/12.31 | REDUCE: (3), (5) imply: % 82.75/12.31 | (6) $false % 82.75/12.31 | % 82.75/12.31 | CLOSE: (6) is inconsistent. % 82.75/12.31 | % 82.75/12.31 End of proof % 82.75/12.31 % 82.75/12.31 Sub-proof #115 shows that the following formulas are inconsistent: % 82.75/12.31 ---------------------------------------------------------------- % 82.75/12.31 (1) all_6_9 = all_4_21 % 82.75/12.31 (2) all_6_9 = e2 % 82.75/12.31 (3) ~ (all_4_21 = e2) % 82.75/12.31 % 82.75/12.31 Begin of proof % 82.75/12.31 | % 82.75/12.31 | COMBINE_EQS: (1), (2) imply: % 82.75/12.31 | (4) all_4_21 = e2 % 82.75/12.31 | % 82.75/12.31 | SIMP: (4) implies: % 82.75/12.31 | (5) all_4_21 = e2 % 82.75/12.31 | % 82.75/12.31 | REDUCE: (3), (5) imply: % 82.75/12.31 | (6) $false % 82.75/12.31 | % 82.75/12.31 | CLOSE: (6) is inconsistent. % 82.75/12.31 | % 82.75/12.31 End of proof % 82.75/12.31 % 82.75/12.31 Sub-proof #116 shows that the following formulas are inconsistent: % 82.75/12.31 ---------------------------------------------------------------- % 82.75/12.31 (1) all_8_4 = e1 % 82.75/12.31 (2) all_8_8 = e4 % 82.75/12.31 (3) all_8_22 = e0 % 82.75/12.31 (4) ~ (all_4_11 = e2) % 82.75/12.31 (5) all_8_4 = e2 | all_8_5 = e2 | all_8_8 = e2 | all_8_14 = e2 | all_8_22 = % 82.75/12.31 e2 % 82.75/12.31 (6) ~ (e2 = e1) % 82.75/12.31 (7) ~ (e2 = e0) % 82.75/12.31 (8) all_8_14 = all_4_13 % 82.75/12.31 (9) all_8_5 = all_4_11 % 82.75/12.31 (10) ~ (e4 = e2) % 82.75/12.31 (11) ~ (all_4_13 = e2) % 82.75/12.31 % 82.75/12.31 Begin of proof % 82.75/12.31 | % 82.75/12.31 | BETA: splitting (5) gives: % 82.75/12.31 | % 82.75/12.31 | Case 1: % 82.75/12.31 | | % 82.75/12.31 | | (12) all_8_4 = e2 % 82.75/12.31 | | % 82.75/12.31 | | COMBINE_EQS: (1), (12) imply: % 82.75/12.31 | | (13) e2 = e1 % 82.75/12.31 | | % 82.75/12.31 | | REDUCE: (6), (13) imply: % 82.75/12.31 | | (14) $false % 82.75/12.31 | | % 82.75/12.31 | | CLOSE: (14) is inconsistent. % 82.75/12.31 | | % 82.75/12.31 | Case 2: % 82.75/12.31 | | % 82.75/12.31 | | (15) all_8_5 = e2 | all_8_8 = e2 | all_8_14 = e2 | all_8_22 = e2 % 82.75/12.31 | | % 82.75/12.31 | | BETA: splitting (15) gives: % 82.75/12.31 | | % 82.75/12.31 | | Case 1: % 82.75/12.31 | | | % 82.75/12.31 | | | (16) all_8_5 = e2 % 82.75/12.31 | | | % 82.75/12.31 | | | COMBINE_EQS: (9), (16) imply: % 82.75/12.31 | | | (17) all_4_11 = e2 % 82.75/12.31 | | | % 82.75/12.31 | | | SIMP: (17) implies: % 82.75/12.31 | | | (18) all_4_11 = e2 % 82.75/12.31 | | | % 82.75/12.31 | | | REDUCE: (4), (18) imply: % 82.75/12.31 | | | (19) $false % 82.75/12.31 | | | % 82.75/12.31 | | | CLOSE: (19) is inconsistent. % 82.75/12.31 | | | % 82.75/12.31 | | Case 2: % 82.75/12.31 | | | % 82.75/12.31 | | | (20) all_8_8 = e2 | all_8_14 = e2 | all_8_22 = e2 % 82.75/12.31 | | | % 82.75/12.31 | | | BETA: splitting (20) gives: % 82.75/12.31 | | | % 82.75/12.31 | | | Case 1: % 82.75/12.31 | | | | % 82.75/12.31 | | | | (21) all_8_8 = e2 % 82.75/12.31 | | | | % 82.75/12.31 | | | | REF_CLOSE: (2), (10), (21) are inconsistent by sub-proof #160. % 82.75/12.31 | | | | % 82.75/12.31 | | | Case 2: % 82.75/12.31 | | | | % 82.75/12.31 | | | | (22) all_8_14 = e2 | all_8_22 = e2 % 82.75/12.31 | | | | % 82.75/12.31 | | | | BETA: splitting (22) gives: % 82.75/12.31 | | | | % 82.75/12.31 | | | | Case 1: % 82.75/12.31 | | | | | % 82.75/12.31 | | | | | (23) all_8_14 = e2 % 82.75/12.31 | | | | | % 82.75/12.31 | | | | | REF_CLOSE: (8), (11), (23) are inconsistent by sub-proof #117. % 82.75/12.31 | | | | | % 82.75/12.31 | | | | Case 2: % 82.75/12.31 | | | | | % 82.75/12.31 | | | | | (24) all_8_22 = e2 % 82.75/12.31 | | | | | % 82.75/12.31 | | | | | COMBINE_EQS: (3), (24) imply: % 82.75/12.31 | | | | | (25) e2 = e0 % 82.75/12.31 | | | | | % 82.75/12.31 | | | | | REDUCE: (7), (25) imply: % 82.75/12.31 | | | | | (26) $false % 82.75/12.31 | | | | | % 82.75/12.31 | | | | | CLOSE: (26) is inconsistent. % 82.75/12.31 | | | | | % 82.75/12.31 | | | | End of split % 82.75/12.31 | | | | % 82.75/12.31 | | | End of split % 82.75/12.31 | | | % 82.75/12.31 | | End of split % 82.75/12.31 | | % 82.75/12.31 | End of split % 82.75/12.31 | % 82.75/12.31 End of proof % 82.75/12.31 % 82.75/12.31 Sub-proof #117 shows that the following formulas are inconsistent: % 82.75/12.31 ---------------------------------------------------------------- % 82.75/12.31 (1) all_8_14 = all_4_13 % 82.75/12.31 (2) all_8_14 = e2 % 82.75/12.31 (3) ~ (all_4_13 = e2) % 82.75/12.31 % 82.75/12.31 Begin of proof % 82.75/12.31 | % 82.75/12.31 | COMBINE_EQS: (1), (2) imply: % 82.75/12.31 | (4) all_4_13 = e2 % 82.75/12.31 | % 82.75/12.31 | SIMP: (4) implies: % 82.75/12.31 | (5) all_4_13 = e2 % 82.75/12.31 | % 82.75/12.31 | REDUCE: (3), (5) imply: % 82.75/12.31 | (6) $false % 82.75/12.31 | % 82.75/12.31 | CLOSE: (6) is inconsistent. % 82.75/12.31 | % 82.75/12.31 End of proof % 82.75/12.31 % 82.75/12.31 Sub-proof #118 shows that the following formulas are inconsistent: % 82.75/12.31 ---------------------------------------------------------------- % 82.75/12.31 (1) all_8_20 = e4 % 82.75/12.31 (2) all_8_20 = e2 % 82.75/12.31 (3) ~ (e4 = e2) % 82.75/12.31 % 82.75/12.31 Begin of proof % 82.75/12.31 | % 82.75/12.31 | COMBINE_EQS: (1), (2) imply: % 82.75/12.31 | (4) e4 = e2 % 82.75/12.31 | % 82.75/12.31 | SIMP: (4) implies: % 82.75/12.31 | (5) e4 = e2 % 82.75/12.31 | % 82.75/12.31 | REDUCE: (3), (5) imply: % 82.75/12.31 | (6) $false % 82.75/12.31 | % 82.75/12.31 | CLOSE: (6) is inconsistent. % 82.75/12.31 | % 82.75/12.31 End of proof % 82.75/12.31 % 82.75/12.31 Sub-proof #119 shows that the following formulas are inconsistent: % 82.75/12.31 ---------------------------------------------------------------- % 82.75/12.31 (1) ~ (all_4_17 = all_4_18) % 82.75/12.31 (2) ~ (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit = e1)) % 82.75/12.31 (3) ~ (all_4_7 = e1) % 82.75/12.31 (4) ~ (all_4_11 = e1) % 82.75/12.31 (5) ~ (e3 = e2) % 82.75/12.31 (6) all_8_8 = e4 % 82.75/12.31 (7) all_10_38 = all_4_13 % 82.75/12.31 (8) all_8_21 = all_4_9 % 82.75/12.31 (9) all_8_11 = all_4_17 % 82.75/12.31 (10) all_8_6 = e1 | all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | all_8_18 = % 82.75/12.31 e1 % 82.75/12.31 (11) all_8_16 = e4 % 82.75/12.31 (12) ~ (all_4_15 = e2) % 82.75/12.31 (13) all_8_0 = e1 | all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 | all_8_16 = % 82.75/12.31 e1 % 82.75/12.31 (14) ~ (all_4_15 = all_4_17) % 82.75/12.31 (15) all_8_7 = all_4_7 % 82.75/12.31 (16) ~ (all_4_10 = e2) % 82.75/12.31 (17) all_10_44 = all_4_15 % 82.75/12.31 (18) all_8_13 = e4 % 82.75/12.31 (19) all_8_6 = e2 | all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 | all_8_18 = % 82.75/12.31 e2 % 82.75/12.31 (20) ~ (e2 = e1) % 82.75/12.31 (21) ~ (all_4_13 = all_4_18) % 82.75/12.31 (22) all_8_4 = all_4_10 % 82.75/12.31 (23) ~ (all_4_18 = e4) % 82.75/12.31 (24) ~ (all_4_7 = e2) % 82.75/12.31 (25) ~ (all_4_13 = e4) % 82.75/12.31 (26) all_8_1 = e1 | all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 | all_8_21 = % 82.75/12.31 e1 % 82.75/12.31 (27) ~ (all_4_15 = all_4_18) % 82.75/12.31 (28) ~ (all_10_30 = e1) | (all_10_44 = e2 & ~ (unit = e1)) % 82.75/12.31 (29) all_8_4 = e1 | all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 | all_8_22 = % 82.75/12.31 e1 % 82.75/12.31 (30) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0 % 82.75/12.31 (31) all_8_22 = all_4_14 % 82.75/12.31 (32) all_8_0 = e0 % 82.75/12.31 (33) all_8_3 = all_4_6 % 82.75/12.31 (34) all_8_14 = all_4_13 % 82.75/12.31 (35) all_6_2 = all_4_10 % 82.75/12.31 (36) ~ (e4 = e1) % 82.75/12.31 (37) ~ (all_4_9 = all_4_14) % 82.75/12.31 (38) all_10_52 = all_4_18 % 82.75/12.31 (39) all_10_30 = all_4_10 % 82.75/12.31 (40) all_8_5 = all_4_11 % 82.75/12.31 (41) all_8_1 = e2 % 82.75/12.31 (42) all_8_9 = all_4_15 % 82.75/12.31 (43) ~ (all_4_6 = e1) % 82.75/12.31 (44) all_8_6 = e3 % 82.75/12.31 (45) ~ (all_4_7 = all_4_9) % 82.75/12.31 (46) ~ (all_4_9 = e4) % 82.75/12.31 (47) ~ (all_4_10 = all_4_13) % 82.75/12.31 (48) ~ (e1 = e0) % 82.75/12.31 (49) ~ (all_4_10 = e0) % 82.75/12.31 % 82.75/12.31 Begin of proof % 82.75/12.31 | % 82.75/12.31 | BETA: splitting (26) gives: % 82.75/12.31 | % 82.75/12.31 | Case 1: % 82.75/12.31 | | % 82.75/12.31 | | (50) all_8_1 = e1 % 82.75/12.31 | | % 82.75/12.31 | | REF_CLOSE: (20), (41), (50) are inconsistent by sub-proof #158. % 82.75/12.31 | | % 82.75/12.31 | Case 2: % 82.75/12.31 | | % 82.75/12.31 | | (51) all_8_3 = e1 | all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1 % 82.75/12.31 | | % 82.75/12.31 | | BETA: splitting (51) gives: % 82.75/12.31 | | % 82.75/12.31 | | Case 1: % 82.75/12.31 | | | % 82.75/12.31 | | | (52) all_8_3 = e1 % 82.75/12.31 | | | % 82.75/12.31 | | | REF_CLOSE: (33), (43), (52) are inconsistent by sub-proof #122. % 82.75/12.31 | | | % 82.75/12.31 | | Case 2: % 82.75/12.31 | | | % 82.75/12.31 | | | (53) all_8_7 = e1 | all_8_13 = e1 | all_8_21 = e1 % 82.75/12.31 | | | % 82.75/12.31 | | | BETA: splitting (28) gives: % 82.75/12.31 | | | % 82.75/12.31 | | | Case 1: % 82.75/12.31 | | | | % 82.75/12.31 | | | | (54) ~ (all_10_30 = e1) % 82.75/12.31 | | | | % 82.75/12.31 | | | | REDUCE: (39), (54) imply: % 82.75/12.31 | | | | (55) ~ (all_4_10 = e1) % 82.75/12.31 | | | | % 82.75/12.31 | | | | BETA: splitting (29) gives: % 82.75/12.31 | | | | % 82.75/12.31 | | | | Case 1: % 82.75/12.31 | | | | | % 82.75/12.31 | | | | | (56) all_8_4 = e1 % 82.75/12.31 | | | | | % 82.75/12.31 | | | | | COMBINE_EQS: (22), (56) imply: % 82.75/12.31 | | | | | (57) all_4_10 = e1 % 82.75/12.31 | | | | | % 82.75/12.31 | | | | | SIMP: (57) implies: % 82.75/12.31 | | | | | (58) all_4_10 = e1 % 82.75/12.31 | | | | | % 82.75/12.31 | | | | | REDUCE: (55), (58) imply: % 82.75/12.31 | | | | | (59) $false % 82.75/12.31 | | | | | % 82.75/12.31 | | | | | CLOSE: (59) is inconsistent. % 82.75/12.31 | | | | | % 82.75/12.31 | | | | Case 2: % 82.75/12.31 | | | | | % 82.75/12.31 | | | | | (60) all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 | all_8_22 = e1 % 82.75/12.31 | | | | | % 82.75/12.31 | | | | | BETA: splitting (60) gives: % 82.75/12.31 | | | | | % 82.75/12.31 | | | | | Case 1: % 82.75/12.31 | | | | | | % 82.75/12.31 | | | | | | (61) all_8_5 = e1 % 82.75/12.31 | | | | | | % 82.75/12.31 | | | | | | COMBINE_EQS: (40), (61) imply: % 82.75/12.31 | | | | | | (62) all_4_11 = e1 % 82.75/12.31 | | | | | | % 82.75/12.31 | | | | | | SIMP: (62) implies: % 82.75/12.31 | | | | | | (63) all_4_11 = e1 % 82.75/12.31 | | | | | | % 82.75/12.31 | | | | | | REDUCE: (4), (63) imply: % 82.75/12.31 | | | | | | (64) $false % 82.75/12.31 | | | | | | % 82.75/12.31 | | | | | | CLOSE: (64) is inconsistent. % 82.75/12.31 | | | | | | % 82.75/12.31 | | | | | Case 2: % 82.75/12.31 | | | | | | % 82.75/12.31 | | | | | | (65) all_8_8 = e1 | all_8_14 = e1 | all_8_22 = e1 % 82.75/12.31 | | | | | | % 82.75/12.31 | | | | | | BETA: splitting (53) gives: % 82.75/12.31 | | | | | | % 82.75/12.31 | | | | | | Case 1: % 82.75/12.31 | | | | | | | % 82.75/12.31 | | | | | | | (66) all_8_7 = e1 % 82.75/12.31 | | | | | | | % 82.75/12.31 | | | | | | | REF_CLOSE: (3), (15), (66) are inconsistent by sub-proof #121. % 82.75/12.31 | | | | | | | % 82.75/12.31 | | | | | | Case 2: % 82.75/12.31 | | | | | | | % 82.75/12.31 | | | | | | | (67) all_8_13 = e1 | all_8_21 = e1 % 82.75/12.31 | | | | | | | % 82.75/12.31 | | | | | | | BETA: splitting (67) gives: % 82.75/12.31 | | | | | | | % 82.75/12.31 | | | | | | | Case 1: % 82.75/12.31 | | | | | | | | % 82.75/12.31 | | | | | | | | (68) all_8_13 = e1 % 82.75/12.31 | | | | | | | | % 82.75/12.31 | | | | | | | | REF_CLOSE: (18), (36), (68) are inconsistent by sub-proof #120. % 82.75/12.31 | | | | | | | | % 82.75/12.31 | | | | | | | Case 2: % 82.75/12.31 | | | | | | | | % 82.75/12.31 | | | | | | | | (69) all_8_21 = e1 % 82.75/12.31 | | | | | | | | % 82.75/12.31 | | | | | | | | COMBINE_EQS: (8), (69) imply: % 82.75/12.31 | | | | | | | | (70) all_4_9 = e1 % 82.75/12.31 | | | | | | | | % 82.75/12.31 | | | | | | | | SIMP: (70) implies: % 82.75/12.31 | | | | | | | | (71) all_4_9 = e1 % 82.75/12.31 | | | | | | | | % 82.75/12.31 | | | | | | | | REDUCE: (37), (71) imply: % 82.75/12.31 | | | | | | | | (72) ~ (all_4_14 = e1) % 82.75/12.31 | | | | | | | | % 82.75/12.31 | | | | | | | | SIMP: (72) implies: % 82.75/12.31 | | | | | | | | (73) ~ (all_4_14 = e1) % 82.75/12.31 | | | | | | | | % 82.75/12.31 | | | | | | | | REDUCE: (46), (71) imply: % 82.75/12.31 | | | | | | | | (74) ~ (e4 = e1) % 82.75/12.31 | | | | | | | | % 82.75/12.31 | | | | | | | | BETA: splitting (13) gives: % 82.75/12.31 | | | | | | | | % 82.75/12.31 | | | | | | | | Case 1: % 82.75/12.31 | | | | | | | | | % 82.75/12.31 | | | | | | | | | (75) all_8_0 = e1 % 82.75/12.31 | | | | | | | | | % 82.75/12.31 | | | | | | | | | COMBINE_EQS: (32), (75) imply: % 82.75/12.31 | | | | | | | | | (76) e1 = e0 % 82.75/12.31 | | | | | | | | | % 82.75/12.31 | | | | | | | | | REDUCE: (48), (76) imply: % 82.75/12.31 | | | | | | | | | (77) $false % 82.75/12.31 | | | | | | | | | % 82.75/12.31 | | | | | | | | | CLOSE: (77) is inconsistent. % 82.75/12.31 | | | | | | | | | % 82.75/12.31 | | | | | | | | Case 2: % 82.75/12.31 | | | | | | | | | % 82.75/12.31 | | | | | | | | | (78) all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 | all_8_16 % 82.75/12.31 | | | | | | | | | = e1 % 82.75/12.31 | | | | | | | | | % 82.75/12.31 | | | | | | | | | BETA: splitting (19) gives: % 82.75/12.31 | | | | | | | | | % 82.75/12.31 | | | | | | | | | Case 1: % 82.75/12.31 | | | | | | | | | | % 82.75/12.31 | | | | | | | | | | (79) all_8_6 = e2 % 82.75/12.31 | | | | | | | | | | % 82.75/12.31 | | | | | | | | | | REF_CLOSE: (5), (44), (79) are inconsistent by sub-proof % 82.75/12.31 | | | | | | | | | | #163. % 82.75/12.31 | | | | | | | | | | % 82.75/12.31 | | | | | | | | | Case 2: % 82.75/12.31 | | | | | | | | | | % 82.75/12.31 | | | | | | | | | | (80) all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 | % 82.75/12.31 | | | | | | | | | | all_8_18 = e2 % 82.75/12.31 | | | | | | | | | | % 82.75/12.31 | | | | | | | | | | REF_CLOSE: (1), (2), (3), (6), (7), (9), (10), (11), (14), % 82.75/12.31 | | | | | | | | | | (15), (16), (21), (22), (23), (24), (25), (27), % 82.75/12.31 | | | | | | | | | | (30), (31), (34), (35), (36), (38), (41), (42), % 82.75/12.31 | | | | | | | | | | (44), (47), (49), (65), (73), (78), (80) are % 82.75/12.31 | | | | | | | | | | inconsistent by sub-proof #153. % 82.75/12.31 | | | | | | | | | | % 82.75/12.31 | | | | | | | | | End of split % 82.75/12.31 | | | | | | | | | % 82.75/12.31 | | | | | | | | End of split % 82.75/12.31 | | | | | | | | % 82.75/12.31 | | | | | | | End of split % 82.75/12.31 | | | | | | | % 82.75/12.31 | | | | | | End of split % 82.75/12.31 | | | | | | % 82.75/12.31 | | | | | End of split % 82.75/12.31 | | | | | % 82.75/12.31 | | | | End of split % 82.75/12.31 | | | | % 82.75/12.31 | | | Case 2: % 82.75/12.31 | | | | % 82.75/12.31 | | | | (81) all_10_44 = e2 & ~ (unit = e1) % 82.75/12.31 | | | | % 82.75/12.32 | | | | ALPHA: (81) implies: % 82.75/12.32 | | | | (82) all_10_44 = e2 % 82.75/12.32 | | | | % 82.75/12.32 | | | | COMBINE_EQS: (17), (82) imply: % 82.75/12.32 | | | | (83) all_4_15 = e2 % 82.75/12.32 | | | | % 82.75/12.32 | | | | SIMP: (83) implies: % 82.75/12.32 | | | | (84) all_4_15 = e2 % 82.75/12.32 | | | | % 82.75/12.32 | | | | REDUCE: (12), (84) imply: % 82.75/12.32 | | | | (85) $false % 82.75/12.32 | | | | % 82.75/12.32 | | | | CLOSE: (85) is inconsistent. % 82.75/12.32 | | | | % 82.75/12.32 | | | End of split % 82.75/12.32 | | | % 82.75/12.32 | | End of split % 82.75/12.32 | | % 82.75/12.32 | End of split % 82.75/12.32 | % 82.75/12.32 End of proof % 82.75/12.32 % 82.75/12.32 Sub-proof #120 shows that the following formulas are inconsistent: % 82.75/12.32 ---------------------------------------------------------------- % 82.75/12.32 (1) all_8_13 = e4 % 82.75/12.32 (2) all_8_13 = e1 % 82.75/12.32 (3) ~ (e4 = e1) % 82.75/12.32 % 82.75/12.32 Begin of proof % 82.75/12.32 | % 82.75/12.32 | COMBINE_EQS: (1), (2) imply: % 82.75/12.32 | (4) e4 = e1 % 82.75/12.32 | % 82.75/12.32 | SIMP: (4) implies: % 82.75/12.32 | (5) e4 = e1 % 82.75/12.32 | % 82.75/12.32 | REDUCE: (3), (5) imply: % 82.75/12.32 | (6) $false % 82.75/12.32 | % 82.75/12.32 | CLOSE: (6) is inconsistent. % 82.75/12.32 | % 82.75/12.32 End of proof % 82.75/12.32 % 82.75/12.32 Sub-proof #121 shows that the following formulas are inconsistent: % 82.75/12.32 ---------------------------------------------------------------- % 82.75/12.32 (1) all_8_7 = all_4_7 % 82.75/12.32 (2) all_8_7 = e1 % 82.75/12.32 (3) ~ (all_4_7 = e1) % 82.75/12.32 % 82.75/12.32 Begin of proof % 82.75/12.32 | % 82.75/12.32 | COMBINE_EQS: (1), (2) imply: % 82.75/12.32 | (4) all_4_7 = e1 % 82.75/12.32 | % 82.75/12.32 | SIMP: (4) implies: % 82.75/12.32 | (5) all_4_7 = e1 % 82.75/12.32 | % 82.75/12.32 | REDUCE: (3), (5) imply: % 82.75/12.32 | (6) $false % 82.75/12.32 | % 82.75/12.32 | CLOSE: (6) is inconsistent. % 82.75/12.32 | % 82.75/12.32 End of proof % 82.75/12.32 % 82.75/12.32 Sub-proof #122 shows that the following formulas are inconsistent: % 82.75/12.32 ---------------------------------------------------------------- % 82.75/12.32 (1) all_8_3 = all_4_6 % 82.75/12.32 (2) all_8_3 = e1 % 82.75/12.32 (3) ~ (all_4_6 = e1) % 82.75/12.32 % 82.75/12.32 Begin of proof % 82.75/12.32 | % 82.75/12.32 | COMBINE_EQS: (1), (2) imply: % 82.75/12.32 | (4) all_4_6 = e1 % 82.75/12.32 | % 82.75/12.32 | SIMP: (4) implies: % 82.75/12.32 | (5) all_4_6 = e1 % 82.75/12.32 | % 82.75/12.32 | REDUCE: (3), (5) imply: % 82.75/12.32 | (6) $false % 82.75/12.32 | % 82.75/12.32 | CLOSE: (6) is inconsistent. % 82.75/12.32 | % 82.75/12.32 End of proof % 82.75/12.32 % 82.75/12.32 Sub-proof #123 shows that the following formulas are inconsistent: % 82.75/12.32 ---------------------------------------------------------------- % 82.75/12.32 (1) all_6_13 = all_4_17 % 82.75/12.32 (2) all_6_13 = e4 % 82.75/12.32 (3) ~ (all_4_17 = e4) % 82.75/12.32 % 82.75/12.32 Begin of proof % 82.75/12.32 | % 82.75/12.32 | COMBINE_EQS: (1), (2) imply: % 82.75/12.32 | (4) all_4_17 = e4 % 82.75/12.32 | % 82.75/12.32 | SIMP: (4) implies: % 82.75/12.32 | (5) all_4_17 = e4 % 82.75/12.32 | % 82.75/12.32 | REDUCE: (3), (5) imply: % 82.75/12.32 | (6) $false % 82.75/12.32 | % 82.75/12.32 | CLOSE: (6) is inconsistent. % 82.75/12.32 | % 82.75/12.32 End of proof % 82.75/12.32 % 82.75/12.32 Sub-proof #124 shows that the following formulas are inconsistent: % 82.75/12.32 ---------------------------------------------------------------- % 82.75/12.32 (1) all_8_16 = e4 % 82.75/12.32 (2) all_8_16 = e3 % 82.75/12.32 (3) ~ (e4 = e3) % 82.75/12.32 % 82.75/12.32 Begin of proof % 82.75/12.32 | % 82.75/12.32 | COMBINE_EQS: (1), (2) imply: % 82.75/12.32 | (4) e4 = e3 % 82.75/12.32 | % 82.75/12.32 | SIMP: (4) implies: % 82.75/12.32 | (5) e4 = e3 % 82.75/12.32 | % 82.75/12.32 | REDUCE: (3), (5) imply: % 82.75/12.32 | (6) $false % 82.75/12.32 | % 82.75/12.32 | CLOSE: (6) is inconsistent. % 82.75/12.32 | % 82.75/12.32 End of proof % 82.75/12.32 % 82.75/12.32 Sub-proof #125 shows that the following formulas are inconsistent: % 82.75/12.32 ---------------------------------------------------------------- % 82.75/12.32 (1) all_6_22 = all_4_14 % 82.75/12.32 (2) all_6_22 = e4 % 82.75/12.32 (3) ~ (all_4_14 = e4) % 82.75/12.32 % 82.75/12.32 Begin of proof % 82.75/12.32 | % 82.75/12.32 | COMBINE_EQS: (1), (2) imply: % 82.75/12.32 | (4) all_4_14 = e4 % 82.75/12.32 | % 82.75/12.32 | SIMP: (4) implies: % 82.75/12.32 | (5) all_4_14 = e4 % 82.75/12.32 | % 82.75/12.32 | REDUCE: (3), (5) imply: % 82.75/12.32 | (6) $false % 82.75/12.32 | % 82.75/12.32 | CLOSE: (6) is inconsistent. % 82.75/12.32 | % 82.75/12.32 End of proof % 82.75/12.32 % 82.75/12.32 Sub-proof #126 shows that the following formulas are inconsistent: % 82.75/12.32 ---------------------------------------------------------------- % 82.75/12.32 (1) ~ (all_4_7 = e0) % 82.75/12.32 (2) all_6_11 = all_4_7 % 82.75/12.32 (3) ~ (all_4_7 = e1) % 82.75/12.32 (4) ~ (all_4_7 = e3) % 82.75/12.32 (5) all_6_11 = e3 | all_6_11 = e1 | all_6_11 = e0 % 82.75/12.32 % 82.75/12.32 Begin of proof % 82.75/12.32 | % 82.75/12.32 | BETA: splitting (5) gives: % 82.75/12.32 | % 82.75/12.32 | Case 1: % 82.75/12.32 | | % 82.75/12.32 | | (6) all_6_11 = e3 % 82.75/12.32 | | % 82.75/12.32 | | COMBINE_EQS: (2), (6) imply: % 82.75/12.32 | | (7) all_4_7 = e3 % 82.75/12.32 | | % 82.75/12.32 | | REDUCE: (4), (7) imply: % 82.75/12.32 | | (8) $false % 82.75/12.32 | | % 82.75/12.32 | | CLOSE: (8) is inconsistent. % 82.75/12.32 | | % 82.75/12.32 | Case 2: % 82.75/12.32 | | % 82.75/12.32 | | (9) all_6_11 = e1 | all_6_11 = e0 % 82.75/12.32 | | % 82.75/12.32 | | BETA: splitting (9) gives: % 82.75/12.32 | | % 82.75/12.32 | | Case 1: % 82.75/12.32 | | | % 82.75/12.32 | | | (10) all_6_11 = e1 % 82.75/12.32 | | | % 82.75/12.32 | | | COMBINE_EQS: (2), (10) imply: % 82.75/12.32 | | | (11) all_4_7 = e1 % 82.75/12.32 | | | % 82.75/12.32 | | | REDUCE: (3), (11) imply: % 82.75/12.32 | | | (12) $false % 82.75/12.32 | | | % 82.75/12.32 | | | CLOSE: (12) is inconsistent. % 82.75/12.32 | | | % 82.75/12.32 | | Case 2: % 82.75/12.32 | | | % 82.75/12.32 | | | (13) all_6_11 = e0 % 82.75/12.32 | | | % 82.75/12.32 | | | COMBINE_EQS: (2), (13) imply: % 82.75/12.32 | | | (14) all_4_7 = e0 % 82.75/12.32 | | | % 82.75/12.32 | | | REDUCE: (1), (14) imply: % 82.75/12.32 | | | (15) $false % 82.75/12.32 | | | % 82.75/12.32 | | | CLOSE: (15) is inconsistent. % 82.75/12.32 | | | % 82.75/12.32 | | End of split % 82.75/12.32 | | % 82.75/12.32 | End of split % 82.75/12.32 | % 82.75/12.32 End of proof % 82.75/12.32 % 82.75/12.32 Sub-proof #127 shows that the following formulas are inconsistent: % 82.75/12.32 ---------------------------------------------------------------- % 82.75/12.32 (1) all_8_8 = e4 % 82.75/12.32 (2) all_8_8 = e2 | all_8_14 = e2 | all_8_22 = e2 % 82.75/12.32 (3) ~ (all_8_22 = e2) % 82.75/12.32 (4) all_8_22 = all_4_14 % 82.75/12.32 (5) all_8_14 = all_4_13 % 82.75/12.32 (6) ~ (e4 = e2) % 82.75/12.32 (7) ~ (all_4_13 = e2) % 82.75/12.32 % 82.75/12.32 Begin of proof % 82.75/12.32 | % 82.75/12.32 | REDUCE: (3), (4) imply: % 82.75/12.32 | (8) ~ (all_4_14 = e2) % 82.75/12.32 | % 82.75/12.32 | BETA: splitting (2) gives: % 82.75/12.32 | % 82.75/12.32 | Case 1: % 82.75/12.32 | | % 82.75/12.32 | | (9) all_8_8 = e2 % 82.75/12.32 | | % 82.75/12.32 | | REF_CLOSE: (1), (6), (9) are inconsistent by sub-proof #160. % 82.75/12.32 | | % 82.75/12.32 | Case 2: % 82.75/12.32 | | % 82.75/12.32 | | (10) all_8_14 = e2 | all_8_22 = e2 % 82.75/12.32 | | % 82.75/12.32 | | BETA: splitting (10) gives: % 82.75/12.32 | | % 82.75/12.32 | | Case 1: % 82.75/12.32 | | | % 82.75/12.32 | | | (11) all_8_14 = e2 % 82.75/12.32 | | | % 82.75/12.32 | | | COMBINE_EQS: (5), (11) imply: % 82.75/12.32 | | | (12) all_4_13 = e2 % 82.75/12.32 | | | % 82.75/12.32 | | | REDUCE: (7), (12) imply: % 82.75/12.32 | | | (13) $false % 82.75/12.32 | | | % 82.75/12.32 | | | CLOSE: (13) is inconsistent. % 82.75/12.32 | | | % 82.75/12.32 | | Case 2: % 82.75/12.32 | | | % 82.75/12.32 | | | (14) all_8_22 = e2 % 82.75/12.32 | | | % 82.75/12.32 | | | COMBINE_EQS: (4), (14) imply: % 82.75/12.32 | | | (15) all_4_14 = e2 % 82.75/12.32 | | | % 82.75/12.32 | | | SIMP: (15) implies: % 82.75/12.32 | | | (16) all_4_14 = e2 % 82.75/12.32 | | | % 82.75/12.32 | | | REDUCE: (8), (16) imply: % 82.75/12.32 | | | (17) $false % 82.75/12.32 | | | % 82.75/12.32 | | | CLOSE: (17) is inconsistent. % 82.75/12.32 | | | % 82.75/12.32 | | End of split % 82.75/12.32 | | % 82.75/12.32 | End of split % 82.75/12.32 | % 82.75/12.32 End of proof % 82.75/12.32 % 82.75/12.32 Sub-proof #128 shows that the following formulas are inconsistent: % 82.75/12.32 ---------------------------------------------------------------- % 82.75/12.32 (1) all_10_65 = e1 & ~ (all_10_66 = e0) % 82.75/12.32 (2) all_10_65 = e4 % 82.75/12.32 (3) ~ (e4 = e1) % 82.75/12.32 % 82.75/12.32 Begin of proof % 82.75/12.32 | % 82.75/12.32 | ALPHA: (1) implies: % 82.75/12.32 | (4) all_10_65 = e1 % 82.75/12.32 | % 82.75/12.32 | COMBINE_EQS: (2), (4) imply: % 82.75/12.32 | (5) e4 = e1 % 82.75/12.32 | % 82.75/12.32 | REDUCE: (3), (5) imply: % 82.75/12.32 | (6) $false % 82.75/12.32 | % 82.75/12.32 | CLOSE: (6) is inconsistent. % 82.75/12.32 | % 82.75/12.32 End of proof % 82.75/12.32 % 82.75/12.32 Sub-proof #129 shows that the following formulas are inconsistent: % 82.75/12.32 ---------------------------------------------------------------- % 82.75/12.32 (1) all_10_56 = e4 & ~ (all_10_57 = e0) % 82.75/12.32 (2) all_10_56 = all_4_9 % 82.75/12.32 (3) ~ (all_4_9 = e4) % 82.75/12.32 % 82.75/12.32 Begin of proof % 82.75/12.32 | % 82.75/12.32 | ALPHA: (1) implies: % 82.75/12.32 | (4) all_10_56 = e4 % 82.75/12.32 | % 82.75/12.32 | COMBINE_EQS: (2), (4) imply: % 82.75/12.32 | (5) all_4_9 = e4 % 82.75/12.32 | % 82.75/12.32 | REDUCE: (3), (5) imply: % 82.75/12.32 | (6) $false % 82.75/12.32 | % 82.75/12.32 | CLOSE: (6) is inconsistent. % 82.75/12.32 | % 82.75/12.32 End of proof % 82.75/12.32 % 82.75/12.32 Sub-proof #130 shows that the following formulas are inconsistent: % 82.75/12.32 ---------------------------------------------------------------- % 82.75/12.32 (1) all_8_21 = all_4_9 % 82.75/12.32 (2) all_8_21 = e2 % 82.75/12.32 (3) ~ (all_4_9 = e2) % 82.75/12.32 % 82.75/12.32 Begin of proof % 82.75/12.32 | % 82.75/12.32 | COMBINE_EQS: (1), (2) imply: % 82.75/12.32 | (4) all_4_9 = e2 % 82.75/12.32 | % 82.75/12.32 | SIMP: (4) implies: % 82.75/12.32 | (5) all_4_9 = e2 % 82.75/12.32 | % 82.75/12.32 | REDUCE: (3), (5) imply: % 82.75/12.32 | (6) $false % 82.75/12.32 | % 82.75/12.32 | CLOSE: (6) is inconsistent. % 82.75/12.32 | % 82.75/12.32 End of proof % 82.75/12.32 % 82.75/12.32 Sub-proof #131 shows that the following formulas are inconsistent: % 82.75/12.32 ---------------------------------------------------------------- % 82.75/12.32 (1) all_8_0 = e3 % 82.75/12.32 (2) all_8_0 = e0 % 82.75/12.32 (3) ~ (e3 = e0) % 82.75/12.32 % 82.75/12.32 Begin of proof % 82.75/12.32 | % 82.75/12.32 | COMBINE_EQS: (1), (2) imply: % 82.75/12.32 | (4) e3 = e0 % 82.75/12.32 | % 82.75/12.32 | SIMP: (4) implies: % 82.75/12.32 | (5) e3 = e0 % 82.75/12.32 | % 82.75/12.32 | REDUCE: (3), (5) imply: % 82.75/12.32 | (6) $false % 82.75/12.32 | % 82.75/12.32 | CLOSE: (6) is inconsistent. % 82.75/12.32 | % 82.75/12.32 End of proof % 82.75/12.32 % 82.75/12.32 Sub-proof #132 shows that the following formulas are inconsistent: % 82.75/12.32 ---------------------------------------------------------------- % 82.75/12.32 (1) (( ~ (all_10_1 = e4) | ~ (unit = e4)) & ( ~ (all_10_4 = e4) | ~ (unit = % 82.75/12.32 e4)) & ( ~ (all_10_7 = e4) | ~ (unit = e4)) & ( ~ (all_10_10 = e4) % 82.75/12.32 | ~ (unit = e4)) & ( ~ (all_10_13 = e4) | ~ (unit = e4)) & ( ~ % 82.75/12.32 (all_10_16 = e4) | (all_10_1 = e3 & ~ (unit = e4))) & ( ~ (all_10_18 % 82.75/12.32 = e4) | (all_10_4 = e3 & ~ (unit = e4))) & ( ~ (all_10_21 = e4) | % 82.75/12.32 (all_10_7 = e3 & ~ (unit = e4))) & ( ~ (all_10_24 = e4) | (all_10_10 % 82.75/12.32 = e3 & ~ (unit = e4))) & ( ~ (all_10_27 = e4) | (all_10_13 = e3 & % 82.75/12.32 ~ (unit = e4))) & ( ~ (all_10_30 = e4) | (all_10_1 = e2 & ~ (unit % 82.75/12.32 = e4))) & ( ~ (all_10_33 = e4) | (all_10_4 = e2 & ~ (unit = % 82.75/12.32 e4))) & ( ~ (all_10_35 = e4) | (all_10_7 = e2 & ~ (unit = e4))) % 82.75/12.32 & ( ~ (all_10_38 = e4) | (all_10_10 = e2 & ~ (unit = e4))) & ( ~ % 82.75/12.32 (all_10_41 = e4) | (all_10_13 = e2 & ~ (unit = e4))) & ( ~ % 82.75/12.32 (all_10_44 = e4) | (all_10_1 = e1 & ~ (unit = e4))) & ( ~ (all_10_47 % 82.75/12.32 = e4) | (all_10_4 = e1 & ~ (unit = e4))) & ( ~ (all_10_50 = e4) | % 82.75/12.32 (all_10_7 = e1 & ~ (unit = e4))) & ( ~ (all_10_52 = e4) | (all_10_10 % 82.75/12.32 = e1 & ~ (unit = e4))) & ( ~ (all_10_55 = e4) | (all_10_13 = e1 & % 82.75/12.32 ~ (unit = e4))) & ( ~ (all_10_58 = e4) | (all_10_1 = e0 & ~ (unit % 82.75/12.32 = e4))) & ( ~ (all_10_61 = e4) | (all_10_4 = e0 & ~ (unit = % 82.75/12.32 e4))) & ( ~ (all_10_64 = e4) | (all_10_7 = e0 & ~ (unit = e4))) % 82.75/12.32 & ( ~ (all_10_67 = e4) | (all_10_10 = e0 & ~ (unit = e4))) & ( ~ % 82.75/12.32 (all_10_69 = e4) | (all_10_13 = e0 & ~ (unit = e4)))) | (( ~ % 82.75/12.32 (all_10_1 = e3) | (all_10_16 = e4 & ~ (unit = e3))) & ( ~ (all_10_4 % 82.75/12.32 = e3) | (all_10_18 = e4 & ~ (unit = e3))) & ( ~ (all_10_7 = e3) | % 82.75/12.32 (all_10_21 = e4 & ~ (unit = e3))) & ( ~ (all_10_10 = e3) | % 82.75/12.32 (all_10_24 = e4 & ~ (unit = e3))) & ( ~ (all_10_13 = e3) | % 82.75/12.32 (all_10_27 = e4 & ~ (unit = e3))) & ( ~ (all_10_16 = e3) | ~ (unit % 82.75/12.32 = e3)) & ( ~ (all_10_18 = e3) | ~ (unit = e3)) & ( ~ (all_10_21 = % 82.75/12.32 e3) | ~ (unit = e3)) & ( ~ (all_10_24 = e3) | ~ (unit = e3)) & ( % 82.75/12.32 ~ (all_10_27 = e3) | ~ (unit = e3)) & ( ~ (all_10_30 = e3) | % 82.75/12.32 (all_10_16 = e2 & ~ (unit = e3))) & ( ~ (all_10_33 = e3) | % 82.75/12.32 (all_10_18 = e2 & ~ (unit = e3))) & ( ~ (all_10_35 = e3) | % 82.75/12.32 (all_10_21 = e2 & ~ (unit = e3))) & ( ~ (all_10_38 = e3) | % 82.75/12.32 (all_10_24 = e2 & ~ (unit = e3))) & ( ~ (all_10_41 = e3) | % 82.75/12.32 (all_10_27 = e2 & ~ (unit = e3))) & ( ~ (all_10_44 = e3) | % 82.75/12.32 (all_10_16 = e1 & ~ (unit = e3))) & ( ~ (all_10_47 = e3) | % 82.75/12.32 (all_10_18 = e1 & ~ (unit = e3))) & ( ~ (all_10_50 = e3) | % 82.75/12.32 (all_10_21 = e1 & ~ (unit = e3))) & ( ~ (all_10_52 = e3) | % 82.75/12.32 (all_10_24 = e1 & ~ (unit = e3))) & ( ~ (all_10_55 = e3) | % 82.75/12.32 (all_10_27 = e1 & ~ (unit = e3))) & ( ~ (all_10_58 = e3) | % 82.75/12.32 (all_10_16 = e0 & ~ (unit = e3))) & ( ~ (all_10_61 = e3) | % 82.75/12.32 (all_10_18 = e0 & ~ (unit = e3))) & ( ~ (all_10_64 = e3) | % 82.75/12.32 (all_10_21 = e0 & ~ (unit = e3))) & ( ~ (all_10_67 = e3) | % 82.75/12.32 (all_10_24 = e0 & ~ (unit = e3))) & ( ~ (all_10_69 = e3) | % 82.75/12.32 (all_10_27 = e0 & ~ (unit = e3)))) | (( ~ (all_10_1 = e2) | % 82.75/12.32 (all_10_30 = e4 & ~ (unit = e2))) & ( ~ (all_10_4 = e2) | (all_10_33 % 82.75/12.32 = e4 & ~ (unit = e2))) & ( ~ (all_10_7 = e2) | (all_10_35 = e4 & % 82.75/12.32 ~ (unit = e2))) & ( ~ (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit % 82.75/12.32 = e2))) & ( ~ (all_10_13 = e2) | (all_10_41 = e4 & ~ (unit = % 82.75/12.32 e2))) & ( ~ (all_10_16 = e2) | (all_10_30 = e3 & ~ (unit = e2))) % 82.75/12.32 & ( ~ (all_10_18 = e2) | (all_10_33 = e3 & ~ (unit = e2))) & ( ~ % 82.75/12.32 (all_10_21 = e2) | (all_10_35 = e3 & ~ (unit = e2))) & ( ~ % 82.75/12.32 (all_10_24 = e2) | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 82.75/12.32 (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit = e2))) & ( ~ % 82.75/12.32 (all_10_30 = e2) | ~ (unit = e2)) & ( ~ (all_10_33 = e2) | ~ (unit % 82.75/12.32 = e2)) & ( ~ (all_10_35 = e2) | ~ (unit = e2)) & ( ~ (all_10_38 = % 82.75/12.32 e2) | ~ (unit = e2)) & ( ~ (all_10_41 = e2) | ~ (unit = e2)) & ( % 82.75/12.32 ~ (all_10_44 = e2) | (all_10_30 = e1 & ~ (unit = e2))) & ( ~ % 82.75/12.32 (all_10_47 = e2) | (all_10_33 = e1 & ~ (unit = e2))) & ( ~ % 82.75/12.32 (all_10_50 = e2) | (all_10_35 = e1 & ~ (unit = e2))) & ( ~ % 82.75/12.32 (all_10_52 = e2) | (all_10_38 = e1 & ~ (unit = e2))) & ( ~ % 82.75/12.32 (all_10_55 = e2) | (all_10_41 = e1 & ~ (unit = e2))) & ( ~ % 82.75/12.32 (all_10_58 = e2) | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 82.75/12.32 (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit = e2))) & ( ~ % 82.75/12.32 (all_10_64 = e2) | (all_10_35 = e0 & ~ (unit = e2))) & ( ~ % 82.75/12.32 (all_10_67 = e2) | (all_10_38 = e0 & ~ (unit = e2))) & ( ~ % 82.75/12.32 (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit = e2)))) | (( ~ % 82.75/12.32 (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = e1))) & ( ~ (all_10_4 % 82.75/12.32 = e1) | (all_10_47 = e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) | % 82.75/12.32 (all_10_50 = e4 & ~ (unit = e1))) & ( ~ (all_10_10 = e1) | % 82.75/12.32 (all_10_52 = e4 & ~ (unit = e1))) & ( ~ (all_10_13 = e1) | % 82.75/12.32 (all_10_55 = e4 & ~ (unit = e1))) & ( ~ (all_10_16 = e1) | % 82.75/12.32 (all_10_44 = e3 & ~ (unit = e1))) & ( ~ (all_10_18 = e1) | % 82.75/12.32 (all_10_47 = e3 & ~ (unit = e1))) & ( ~ (all_10_21 = e1) | % 82.75/12.32 (all_10_50 = e3 & ~ (unit = e1))) & ( ~ (all_10_24 = e1) | % 82.75/12.32 (all_10_52 = e3 & ~ (unit = e1))) & ( ~ (all_10_27 = e1) | % 82.75/12.32 (all_10_55 = e3 & ~ (unit = e1))) & ( ~ (all_10_30 = e1) | % 82.75/12.32 (all_10_44 = e2 & ~ (unit = e1))) & ( ~ (all_10_33 = e1) | % 82.75/12.32 (all_10_47 = e2 & ~ (unit = e1))) & ( ~ (all_10_35 = e1) | % 82.75/12.32 (all_10_50 = e2 & ~ (unit = e1))) & ( ~ (all_10_38 = e1) | % 82.75/12.32 (all_10_52 = e2 & ~ (unit = e1))) & ( ~ (all_10_41 = e1) | % 82.75/12.32 (all_10_55 = e2 & ~ (unit = e1))) & ( ~ (all_10_44 = e1) | ~ (unit % 82.75/12.32 = e1)) & ( ~ (all_10_47 = e1) | ~ (unit = e1)) & ( ~ (all_10_50 = % 82.75/12.32 e1) | ~ (unit = e1)) & ( ~ (all_10_52 = e1) | ~ (unit = e1)) & ( % 82.75/12.32 ~ (all_10_55 = e1) | ~ (unit = e1)) & ( ~ (all_10_58 = e1) | % 82.75/12.32 (all_10_44 = e0 & ~ (unit = e1))) & ( ~ (all_10_61 = e1) | % 82.75/12.32 (all_10_47 = e0 & ~ (unit = e1))) & ( ~ (all_10_64 = e1) | % 82.75/12.32 (all_10_50 = e0 & ~ (unit = e1))) & ( ~ (all_10_67 = e1) | % 82.75/12.32 (all_10_52 = e0 & ~ (unit = e1))) & ( ~ (all_10_69 = e1) | % 82.75/12.32 (all_10_55 = e0 & ~ (unit = e1)))) | (( ~ (all_10_1 = e0) | % 82.75/12.32 (all_10_58 = e4 & ~ (unit = e0))) & ( ~ (all_10_4 = e0) | (all_10_61 % 82.75/12.32 = e4 & ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = e4 & % 82.75/12.32 ~ (unit = e0))) & ( ~ (all_10_10 = e0) | (all_10_67 = e4 & ~ (unit % 82.75/12.32 = e0))) & ( ~ (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit = % 82.75/12.32 e0))) & ( ~ (all_10_16 = e0) | (all_10_58 = e3 & ~ (unit = e0))) % 82.75/12.32 & ( ~ (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit = e0))) & ( ~ % 82.75/12.32 (all_10_21 = e0) | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 82.75/12.32 (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit = e0))) & ( ~ % 82.75/12.32 (all_10_27 = e0) | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 82.75/12.32 (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit = e0))) & ( ~ % 82.75/12.32 (all_10_33 = e0) | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 82.75/12.32 (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit = e0))) & ( ~ % 82.75/12.32 (all_10_38 = e0) | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ % 82.75/12.32 (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit = e0))) & ( ~ % 82.75/12.32 (all_10_44 = e0) | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 82.75/12.32 (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit = e0))) & ( ~ % 82.75/12.32 (all_10_50 = e0) | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 82.75/12.32 (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit = e0))) & ( ~ % 82.75/12.32 (all_10_55 = e0) | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ % 82.75/12.32 (all_10_58 = e0) | ~ (unit = e0)) & ( ~ (all_10_61 = e0) | ~ (unit % 82.75/12.32 = e0)) & ( ~ (all_10_64 = e0) | ~ (unit = e0)) & ( ~ (all_10_67 = % 82.75/12.32 e0) | ~ (unit = e0)) & ( ~ (all_10_69 = e0) | ~ (unit = e0))) % 82.75/12.32 (2) ~ (all_4_7 = e4) % 82.75/12.32 (3) all_10_3 = e4 % 82.75/12.32 (4) all_8_13 = all_4_8 % 82.75/12.32 (5) all_8_1 = e4 | all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 | all_8_21 = % 82.75/12.32 e4 % 82.75/12.32 (6) ~ (e3 = e2) % 82.75/12.32 (7) all_10_5 = e4 % 82.75/12.32 (8) all_10_4 = e1 % 82.75/12.32 (9) all_8_21 = all_4_9 % 82.75/12.32 (10) ~ (all_4_8 = e4) % 82.75/12.32 (11) all_10_7 = e3 % 82.75/12.32 (12) (all_10_2 = e3 & ~ (all_10_3 = e4)) | (all_10_5 = e2 & ~ (all_10_6 = % 82.75/12.32 e4)) % 82.75/12.32 (13) all_10_35 = e4 % 82.75/12.32 (14) all_10_41 = all_4_14 % 82.75/12.32 (15) all_8_7 = all_4_7 % 82.75/12.32 (16) ~ (all_4_14 = e4) % 82.75/12.32 (17) ~ (all_4_6 = all_4_7) % 82.75/12.32 (18) all_8_1 = e4 % 82.75/12.32 (19) all_10_47 = all_4_16 % 82.75/12.32 (20) all_10_1 = e0 % 82.75/12.32 (21) all_8_3 = all_4_6 % 82.75/12.32 (22) all_10_13 = e4 % 82.75/12.32 (23) all_10_58 = all_4_20 % 82.75/12.32 (24) ~ (all_4_9 = e4) % 82.75/12.32 (25) ~ (e4 = e2) % 82.75/12.32 (26) ~ (all_4_20 = e4) % 82.75/12.32 (27) ~ (all_4_6 = all_4_16) % 82.75/12.32 (28) all_10_21 = all_4_7 % 82.75/12.32 % 82.75/12.32 Begin of proof % 82.75/12.32 | % 82.75/12.32 | BETA: splitting (12) gives: % 82.75/12.32 | % 82.75/12.32 | Case 1: % 82.75/12.32 | | % 82.75/12.32 | | (29) all_10_2 = e3 & ~ (all_10_3 = e4) % 82.75/12.32 | | % 82.75/12.32 | | ALPHA: (29) implies: % 82.75/12.32 | | (30) ~ (all_10_3 = e4) % 82.75/12.32 | | % 82.75/12.32 | | REDUCE: (3), (30) imply: % 82.75/12.32 | | (31) $false % 82.75/12.32 | | % 82.75/12.32 | | CLOSE: (31) is inconsistent. % 82.75/12.32 | | % 82.75/12.32 | Case 2: % 82.75/12.32 | | % 82.75/12.32 | | (32) all_10_5 = e2 & ~ (all_10_6 = e4) % 82.75/12.32 | | % 82.75/12.32 | | ALPHA: (32) implies: % 82.75/12.32 | | (33) all_10_5 = e2 % 82.75/12.32 | | % 82.75/12.32 | | COMBINE_EQS: (7), (33) imply: % 82.75/12.32 | | (34) e4 = e2 % 82.75/12.32 | | % 82.75/12.32 | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (9), (10), (11), (13), (14), (15), % 82.75/12.32 | | (16), (17), (18), (19), (20), (21), (22), (23), (24), (25), (26), % 82.75/12.32 | | (27), (28), (34) are inconsistent by sub-proof #133. % 82.75/12.32 | | % 82.75/12.32 | End of split % 82.75/12.32 | % 82.75/12.32 End of proof % 82.75/12.32 % 82.75/12.32 Sub-proof #133 shows that the following formulas are inconsistent: % 82.75/12.32 ---------------------------------------------------------------- % 82.75/12.33 (1) (( ~ (all_10_1 = e4) | ~ (unit = e4)) & ( ~ (all_10_4 = e4) | ~ (unit = % 82.75/12.33 e4)) & ( ~ (all_10_7 = e4) | ~ (unit = e4)) & ( ~ (all_10_10 = e4) % 82.75/12.33 | ~ (unit = e4)) & ( ~ (all_10_13 = e4) | ~ (unit = e4)) & ( ~ % 82.75/12.33 (all_10_16 = e4) | (all_10_1 = e3 & ~ (unit = e4))) & ( ~ (all_10_18 % 82.75/12.33 = e4) | (all_10_4 = e3 & ~ (unit = e4))) & ( ~ (all_10_21 = e4) | % 82.75/12.33 (all_10_7 = e3 & ~ (unit = e4))) & ( ~ (all_10_24 = e4) | (all_10_10 % 82.75/12.33 = e3 & ~ (unit = e4))) & ( ~ (all_10_27 = e4) | (all_10_13 = e3 & % 82.75/12.33 ~ (unit = e4))) & ( ~ (all_10_30 = e4) | (all_10_1 = e2 & ~ (unit % 82.75/12.33 = e4))) & ( ~ (all_10_33 = e4) | (all_10_4 = e2 & ~ (unit = % 82.75/12.33 e4))) & ( ~ (all_10_35 = e4) | (all_10_7 = e2 & ~ (unit = e4))) % 82.75/12.33 & ( ~ (all_10_38 = e4) | (all_10_10 = e2 & ~ (unit = e4))) & ( ~ % 82.75/12.33 (all_10_41 = e4) | (all_10_13 = e2 & ~ (unit = e4))) & ( ~ % 82.75/12.33 (all_10_44 = e4) | (all_10_1 = e1 & ~ (unit = e4))) & ( ~ (all_10_47 % 82.75/12.33 = e4) | (all_10_4 = e1 & ~ (unit = e4))) & ( ~ (all_10_50 = e4) | % 82.75/12.33 (all_10_7 = e1 & ~ (unit = e4))) & ( ~ (all_10_52 = e4) | (all_10_10 % 82.75/12.33 = e1 & ~ (unit = e4))) & ( ~ (all_10_55 = e4) | (all_10_13 = e1 & % 82.75/12.33 ~ (unit = e4))) & ( ~ (all_10_58 = e4) | (all_10_1 = e0 & ~ (unit % 82.75/12.33 = e4))) & ( ~ (all_10_61 = e4) | (all_10_4 = e0 & ~ (unit = % 82.75/12.33 e4))) & ( ~ (all_10_64 = e4) | (all_10_7 = e0 & ~ (unit = e4))) % 82.75/12.33 & ( ~ (all_10_67 = e4) | (all_10_10 = e0 & ~ (unit = e4))) & ( ~ % 82.75/12.33 (all_10_69 = e4) | (all_10_13 = e0 & ~ (unit = e4)))) | (( ~ % 82.75/12.33 (all_10_1 = e3) | (all_10_16 = e4 & ~ (unit = e3))) & ( ~ (all_10_4 % 82.75/12.33 = e3) | (all_10_18 = e4 & ~ (unit = e3))) & ( ~ (all_10_7 = e3) | % 82.75/12.33 (all_10_21 = e4 & ~ (unit = e3))) & ( ~ (all_10_10 = e3) | % 82.75/12.33 (all_10_24 = e4 & ~ (unit = e3))) & ( ~ (all_10_13 = e3) | % 82.75/12.33 (all_10_27 = e4 & ~ (unit = e3))) & ( ~ (all_10_16 = e3) | ~ (unit % 82.75/12.33 = e3)) & ( ~ (all_10_18 = e3) | ~ (unit = e3)) & ( ~ (all_10_21 = % 82.75/12.33 e3) | ~ (unit = e3)) & ( ~ (all_10_24 = e3) | ~ (unit = e3)) & ( % 82.75/12.33 ~ (all_10_27 = e3) | ~ (unit = e3)) & ( ~ (all_10_30 = e3) | % 82.75/12.33 (all_10_16 = e2 & ~ (unit = e3))) & ( ~ (all_10_33 = e3) | % 82.75/12.33 (all_10_18 = e2 & ~ (unit = e3))) & ( ~ (all_10_35 = e3) | % 82.75/12.33 (all_10_21 = e2 & ~ (unit = e3))) & ( ~ (all_10_38 = e3) | % 82.75/12.33 (all_10_24 = e2 & ~ (unit = e3))) & ( ~ (all_10_41 = e3) | % 82.75/12.33 (all_10_27 = e2 & ~ (unit = e3))) & ( ~ (all_10_44 = e3) | % 82.75/12.33 (all_10_16 = e1 & ~ (unit = e3))) & ( ~ (all_10_47 = e3) | % 82.75/12.33 (all_10_18 = e1 & ~ (unit = e3))) & ( ~ (all_10_50 = e3) | % 82.75/12.33 (all_10_21 = e1 & ~ (unit = e3))) & ( ~ (all_10_52 = e3) | % 82.75/12.33 (all_10_24 = e1 & ~ (unit = e3))) & ( ~ (all_10_55 = e3) | % 82.75/12.33 (all_10_27 = e1 & ~ (unit = e3))) & ( ~ (all_10_58 = e3) | % 82.75/12.33 (all_10_16 = e0 & ~ (unit = e3))) & ( ~ (all_10_61 = e3) | % 82.75/12.33 (all_10_18 = e0 & ~ (unit = e3))) & ( ~ (all_10_64 = e3) | % 82.75/12.33 (all_10_21 = e0 & ~ (unit = e3))) & ( ~ (all_10_67 = e3) | % 82.75/12.33 (all_10_24 = e0 & ~ (unit = e3))) & ( ~ (all_10_69 = e3) | % 82.75/12.33 (all_10_27 = e0 & ~ (unit = e3)))) | (( ~ (all_10_1 = e2) | % 82.75/12.33 (all_10_30 = e4 & ~ (unit = e2))) & ( ~ (all_10_4 = e2) | (all_10_33 % 82.75/12.33 = e4 & ~ (unit = e2))) & ( ~ (all_10_7 = e2) | (all_10_35 = e4 & % 82.75/12.33 ~ (unit = e2))) & ( ~ (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit % 82.75/12.33 = e2))) & ( ~ (all_10_13 = e2) | (all_10_41 = e4 & ~ (unit = % 82.75/12.33 e2))) & ( ~ (all_10_16 = e2) | (all_10_30 = e3 & ~ (unit = e2))) % 82.75/12.33 & ( ~ (all_10_18 = e2) | (all_10_33 = e3 & ~ (unit = e2))) & ( ~ % 82.75/12.33 (all_10_21 = e2) | (all_10_35 = e3 & ~ (unit = e2))) & ( ~ % 82.75/12.33 (all_10_24 = e2) | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 82.75/12.33 (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit = e2))) & ( ~ % 82.75/12.33 (all_10_30 = e2) | ~ (unit = e2)) & ( ~ (all_10_33 = e2) | ~ (unit % 82.75/12.33 = e2)) & ( ~ (all_10_35 = e2) | ~ (unit = e2)) & ( ~ (all_10_38 = % 82.75/12.33 e2) | ~ (unit = e2)) & ( ~ (all_10_41 = e2) | ~ (unit = e2)) & ( % 82.75/12.33 ~ (all_10_44 = e2) | (all_10_30 = e1 & ~ (unit = e2))) & ( ~ % 82.75/12.33 (all_10_47 = e2) | (all_10_33 = e1 & ~ (unit = e2))) & ( ~ % 82.75/12.33 (all_10_50 = e2) | (all_10_35 = e1 & ~ (unit = e2))) & ( ~ % 82.75/12.33 (all_10_52 = e2) | (all_10_38 = e1 & ~ (unit = e2))) & ( ~ % 82.75/12.33 (all_10_55 = e2) | (all_10_41 = e1 & ~ (unit = e2))) & ( ~ % 82.75/12.33 (all_10_58 = e2) | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 82.75/12.33 (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit = e2))) & ( ~ % 82.75/12.33 (all_10_64 = e2) | (all_10_35 = e0 & ~ (unit = e2))) & ( ~ % 82.75/12.33 (all_10_67 = e2) | (all_10_38 = e0 & ~ (unit = e2))) & ( ~ % 82.75/12.33 (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit = e2)))) | (( ~ % 82.75/12.33 (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = e1))) & ( ~ (all_10_4 % 82.75/12.33 = e1) | (all_10_47 = e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) | % 82.75/12.33 (all_10_50 = e4 & ~ (unit = e1))) & ( ~ (all_10_10 = e1) | % 82.75/12.33 (all_10_52 = e4 & ~ (unit = e1))) & ( ~ (all_10_13 = e1) | % 82.75/12.33 (all_10_55 = e4 & ~ (unit = e1))) & ( ~ (all_10_16 = e1) | % 82.75/12.33 (all_10_44 = e3 & ~ (unit = e1))) & ( ~ (all_10_18 = e1) | % 82.75/12.33 (all_10_47 = e3 & ~ (unit = e1))) & ( ~ (all_10_21 = e1) | % 82.75/12.33 (all_10_50 = e3 & ~ (unit = e1))) & ( ~ (all_10_24 = e1) | % 82.75/12.33 (all_10_52 = e3 & ~ (unit = e1))) & ( ~ (all_10_27 = e1) | % 82.75/12.33 (all_10_55 = e3 & ~ (unit = e1))) & ( ~ (all_10_30 = e1) | % 82.75/12.33 (all_10_44 = e2 & ~ (unit = e1))) & ( ~ (all_10_33 = e1) | % 82.75/12.33 (all_10_47 = e2 & ~ (unit = e1))) & ( ~ (all_10_35 = e1) | % 82.75/12.33 (all_10_50 = e2 & ~ (unit = e1))) & ( ~ (all_10_38 = e1) | % 82.75/12.33 (all_10_52 = e2 & ~ (unit = e1))) & ( ~ (all_10_41 = e1) | % 82.75/12.33 (all_10_55 = e2 & ~ (unit = e1))) & ( ~ (all_10_44 = e1) | ~ (unit % 82.75/12.33 = e1)) & ( ~ (all_10_47 = e1) | ~ (unit = e1)) & ( ~ (all_10_50 = % 82.75/12.33 e1) | ~ (unit = e1)) & ( ~ (all_10_52 = e1) | ~ (unit = e1)) & ( % 82.75/12.33 ~ (all_10_55 = e1) | ~ (unit = e1)) & ( ~ (all_10_58 = e1) | % 82.75/12.33 (all_10_44 = e0 & ~ (unit = e1))) & ( ~ (all_10_61 = e1) | % 82.75/12.33 (all_10_47 = e0 & ~ (unit = e1))) & ( ~ (all_10_64 = e1) | % 82.75/12.33 (all_10_50 = e0 & ~ (unit = e1))) & ( ~ (all_10_67 = e1) | % 82.75/12.33 (all_10_52 = e0 & ~ (unit = e1))) & ( ~ (all_10_69 = e1) | % 82.75/12.33 (all_10_55 = e0 & ~ (unit = e1)))) | (( ~ (all_10_1 = e0) | % 82.75/12.33 (all_10_58 = e4 & ~ (unit = e0))) & ( ~ (all_10_4 = e0) | (all_10_61 % 82.75/12.33 = e4 & ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = e4 & % 82.75/12.33 ~ (unit = e0))) & ( ~ (all_10_10 = e0) | (all_10_67 = e4 & ~ (unit % 82.75/12.33 = e0))) & ( ~ (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit = % 82.75/12.33 e0))) & ( ~ (all_10_16 = e0) | (all_10_58 = e3 & ~ (unit = e0))) % 82.75/12.33 & ( ~ (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit = e0))) & ( ~ % 82.75/12.33 (all_10_21 = e0) | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 82.75/12.33 (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit = e0))) & ( ~ % 82.75/12.33 (all_10_27 = e0) | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 82.75/12.33 (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit = e0))) & ( ~ % 82.75/12.33 (all_10_33 = e0) | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 82.75/12.33 (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit = e0))) & ( ~ % 82.75/12.33 (all_10_38 = e0) | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ % 82.75/12.33 (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit = e0))) & ( ~ % 82.75/12.33 (all_10_44 = e0) | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 82.75/12.33 (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit = e0))) & ( ~ % 82.75/12.33 (all_10_50 = e0) | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 82.75/12.33 (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit = e0))) & ( ~ % 82.75/12.33 (all_10_55 = e0) | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ % 82.75/12.33 (all_10_58 = e0) | ~ (unit = e0)) & ( ~ (all_10_61 = e0) | ~ (unit % 82.75/12.33 = e0)) & ( ~ (all_10_64 = e0) | ~ (unit = e0)) & ( ~ (all_10_67 = % 82.75/12.33 e0) | ~ (unit = e0)) & ( ~ (all_10_69 = e0) | ~ (unit = e0))) % 82.75/12.33 (2) ~ (all_4_7 = e4) % 82.75/12.33 (3) all_8_13 = all_4_8 % 82.75/12.33 (4) all_8_1 = e4 | all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 | all_8_21 = % 82.75/12.33 e4 % 82.75/12.33 (5) ~ (e3 = e2) % 82.75/12.33 (6) all_10_4 = e1 % 82.75/12.33 (7) all_8_21 = all_4_9 % 82.75/12.33 (8) ~ (all_4_8 = e4) % 82.75/12.33 (9) all_10_7 = e3 % 82.75/12.33 (10) all_10_35 = e4 % 82.75/12.33 (11) all_10_41 = all_4_14 % 82.75/12.33 (12) all_8_7 = all_4_7 % 82.75/12.33 (13) ~ (all_4_14 = e4) % 82.75/12.33 (14) ~ (all_4_6 = all_4_7) % 82.75/12.33 (15) all_8_1 = e4 % 82.75/12.33 (16) all_10_47 = all_4_16 % 82.75/12.33 (17) all_10_1 = e0 % 82.75/12.33 (18) all_8_3 = all_4_6 % 82.75/12.33 (19) all_10_13 = e4 % 82.75/12.33 (20) all_10_58 = all_4_20 % 82.75/12.33 (21) ~ (all_4_9 = e4) % 82.75/12.33 (22) ~ (e4 = e2) % 82.75/12.33 (23) e4 = e2 % 82.75/12.33 (24) ~ (all_4_20 = e4) % 82.75/12.33 (25) ~ (all_4_6 = all_4_16) % 82.75/12.33 (26) all_10_21 = all_4_7 % 82.75/12.33 % 82.75/12.33 Begin of proof % 82.75/12.33 | % 82.75/12.33 | COMBINE_EQS: (15), (23) imply: % 82.75/12.33 | (27) all_8_1 = e2 % 82.75/12.33 | % 82.75/12.33 | COMBINE_EQS: (19), (23) imply: % 82.75/12.33 | (28) all_10_13 = e2 % 82.75/12.33 | % 82.75/12.33 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12), % 82.75/12.33 | (13), (14), (16), (17), (18), (20), (21), (22), (24), (25), (26), % 82.75/12.33 | (27), (28) are inconsistent by sub-proof #134. % 82.75/12.33 | % 82.75/12.33 End of proof % 82.75/12.33 % 82.75/12.33 Sub-proof #134 shows that the following formulas are inconsistent: % 82.75/12.33 ---------------------------------------------------------------- % 82.83/12.33 (1) (( ~ (all_10_1 = e4) | ~ (unit = e4)) & ( ~ (all_10_4 = e4) | ~ (unit = % 82.83/12.33 e4)) & ( ~ (all_10_7 = e4) | ~ (unit = e4)) & ( ~ (all_10_10 = e4) % 82.83/12.33 | ~ (unit = e4)) & ( ~ (all_10_13 = e4) | ~ (unit = e4)) & ( ~ % 82.83/12.33 (all_10_16 = e4) | (all_10_1 = e3 & ~ (unit = e4))) & ( ~ (all_10_18 % 82.83/12.33 = e4) | (all_10_4 = e3 & ~ (unit = e4))) & ( ~ (all_10_21 = e4) | % 82.83/12.33 (all_10_7 = e3 & ~ (unit = e4))) & ( ~ (all_10_24 = e4) | (all_10_10 % 82.83/12.33 = e3 & ~ (unit = e4))) & ( ~ (all_10_27 = e4) | (all_10_13 = e3 & % 82.83/12.33 ~ (unit = e4))) & ( ~ (all_10_30 = e4) | (all_10_1 = e2 & ~ (unit % 82.83/12.33 = e4))) & ( ~ (all_10_33 = e4) | (all_10_4 = e2 & ~ (unit = % 82.83/12.33 e4))) & ( ~ (all_10_35 = e4) | (all_10_7 = e2 & ~ (unit = e4))) % 82.83/12.33 & ( ~ (all_10_38 = e4) | (all_10_10 = e2 & ~ (unit = e4))) & ( ~ % 82.83/12.33 (all_10_41 = e4) | (all_10_13 = e2 & ~ (unit = e4))) & ( ~ % 82.83/12.33 (all_10_44 = e4) | (all_10_1 = e1 & ~ (unit = e4))) & ( ~ (all_10_47 % 82.83/12.33 = e4) | (all_10_4 = e1 & ~ (unit = e4))) & ( ~ (all_10_50 = e4) | % 82.83/12.33 (all_10_7 = e1 & ~ (unit = e4))) & ( ~ (all_10_52 = e4) | (all_10_10 % 82.83/12.33 = e1 & ~ (unit = e4))) & ( ~ (all_10_55 = e4) | (all_10_13 = e1 & % 82.83/12.33 ~ (unit = e4))) & ( ~ (all_10_58 = e4) | (all_10_1 = e0 & ~ (unit % 82.83/12.33 = e4))) & ( ~ (all_10_61 = e4) | (all_10_4 = e0 & ~ (unit = % 82.83/12.33 e4))) & ( ~ (all_10_64 = e4) | (all_10_7 = e0 & ~ (unit = e4))) % 82.83/12.33 & ( ~ (all_10_67 = e4) | (all_10_10 = e0 & ~ (unit = e4))) & ( ~ % 82.83/12.33 (all_10_69 = e4) | (all_10_13 = e0 & ~ (unit = e4)))) | (( ~ % 82.83/12.33 (all_10_1 = e3) | (all_10_16 = e4 & ~ (unit = e3))) & ( ~ (all_10_4 % 82.83/12.33 = e3) | (all_10_18 = e4 & ~ (unit = e3))) & ( ~ (all_10_7 = e3) | % 82.83/12.33 (all_10_21 = e4 & ~ (unit = e3))) & ( ~ (all_10_10 = e3) | % 82.83/12.33 (all_10_24 = e4 & ~ (unit = e3))) & ( ~ (all_10_13 = e3) | % 82.83/12.33 (all_10_27 = e4 & ~ (unit = e3))) & ( ~ (all_10_16 = e3) | ~ (unit % 82.83/12.33 = e3)) & ( ~ (all_10_18 = e3) | ~ (unit = e3)) & ( ~ (all_10_21 = % 82.83/12.33 e3) | ~ (unit = e3)) & ( ~ (all_10_24 = e3) | ~ (unit = e3)) & ( % 82.83/12.33 ~ (all_10_27 = e3) | ~ (unit = e3)) & ( ~ (all_10_30 = e3) | % 82.83/12.33 (all_10_16 = e2 & ~ (unit = e3))) & ( ~ (all_10_33 = e3) | % 82.83/12.33 (all_10_18 = e2 & ~ (unit = e3))) & ( ~ (all_10_35 = e3) | % 82.83/12.33 (all_10_21 = e2 & ~ (unit = e3))) & ( ~ (all_10_38 = e3) | % 82.83/12.33 (all_10_24 = e2 & ~ (unit = e3))) & ( ~ (all_10_41 = e3) | % 82.83/12.33 (all_10_27 = e2 & ~ (unit = e3))) & ( ~ (all_10_44 = e3) | % 82.83/12.33 (all_10_16 = e1 & ~ (unit = e3))) & ( ~ (all_10_47 = e3) | % 82.83/12.33 (all_10_18 = e1 & ~ (unit = e3))) & ( ~ (all_10_50 = e3) | % 82.83/12.33 (all_10_21 = e1 & ~ (unit = e3))) & ( ~ (all_10_52 = e3) | % 82.83/12.33 (all_10_24 = e1 & ~ (unit = e3))) & ( ~ (all_10_55 = e3) | % 82.83/12.33 (all_10_27 = e1 & ~ (unit = e3))) & ( ~ (all_10_58 = e3) | % 82.83/12.33 (all_10_16 = e0 & ~ (unit = e3))) & ( ~ (all_10_61 = e3) | % 82.83/12.33 (all_10_18 = e0 & ~ (unit = e3))) & ( ~ (all_10_64 = e3) | % 82.83/12.33 (all_10_21 = e0 & ~ (unit = e3))) & ( ~ (all_10_67 = e3) | % 82.83/12.33 (all_10_24 = e0 & ~ (unit = e3))) & ( ~ (all_10_69 = e3) | % 82.83/12.33 (all_10_27 = e0 & ~ (unit = e3)))) | (( ~ (all_10_1 = e2) | % 82.83/12.33 (all_10_30 = e4 & ~ (unit = e2))) & ( ~ (all_10_4 = e2) | (all_10_33 % 82.83/12.33 = e4 & ~ (unit = e2))) & ( ~ (all_10_7 = e2) | (all_10_35 = e4 & % 82.83/12.33 ~ (unit = e2))) & ( ~ (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit % 82.83/12.33 = e2))) & ( ~ (all_10_13 = e2) | (all_10_41 = e4 & ~ (unit = % 82.83/12.33 e2))) & ( ~ (all_10_16 = e2) | (all_10_30 = e3 & ~ (unit = e2))) % 82.83/12.33 & ( ~ (all_10_18 = e2) | (all_10_33 = e3 & ~ (unit = e2))) & ( ~ % 82.83/12.33 (all_10_21 = e2) | (all_10_35 = e3 & ~ (unit = e2))) & ( ~ % 82.83/12.33 (all_10_24 = e2) | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 82.83/12.33 (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit = e2))) & ( ~ % 82.83/12.33 (all_10_30 = e2) | ~ (unit = e2)) & ( ~ (all_10_33 = e2) | ~ (unit % 82.83/12.33 = e2)) & ( ~ (all_10_35 = e2) | ~ (unit = e2)) & ( ~ (all_10_38 = % 82.83/12.33 e2) | ~ (unit = e2)) & ( ~ (all_10_41 = e2) | ~ (unit = e2)) & ( % 82.83/12.33 ~ (all_10_44 = e2) | (all_10_30 = e1 & ~ (unit = e2))) & ( ~ % 82.83/12.33 (all_10_47 = e2) | (all_10_33 = e1 & ~ (unit = e2))) & ( ~ % 82.83/12.33 (all_10_50 = e2) | (all_10_35 = e1 & ~ (unit = e2))) & ( ~ % 82.83/12.33 (all_10_52 = e2) | (all_10_38 = e1 & ~ (unit = e2))) & ( ~ % 82.83/12.33 (all_10_55 = e2) | (all_10_41 = e1 & ~ (unit = e2))) & ( ~ % 82.83/12.33 (all_10_58 = e2) | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 82.83/12.33 (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit = e2))) & ( ~ % 82.83/12.33 (all_10_64 = e2) | (all_10_35 = e0 & ~ (unit = e2))) & ( ~ % 82.83/12.33 (all_10_67 = e2) | (all_10_38 = e0 & ~ (unit = e2))) & ( ~ % 82.83/12.33 (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit = e2)))) | (( ~ % 82.83/12.33 (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = e1))) & ( ~ (all_10_4 % 82.83/12.33 = e1) | (all_10_47 = e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) | % 82.83/12.33 (all_10_50 = e4 & ~ (unit = e1))) & ( ~ (all_10_10 = e1) | % 82.83/12.33 (all_10_52 = e4 & ~ (unit = e1))) & ( ~ (all_10_13 = e1) | % 82.83/12.33 (all_10_55 = e4 & ~ (unit = e1))) & ( ~ (all_10_16 = e1) | % 82.83/12.33 (all_10_44 = e3 & ~ (unit = e1))) & ( ~ (all_10_18 = e1) | % 82.83/12.33 (all_10_47 = e3 & ~ (unit = e1))) & ( ~ (all_10_21 = e1) | % 82.83/12.33 (all_10_50 = e3 & ~ (unit = e1))) & ( ~ (all_10_24 = e1) | % 82.83/12.33 (all_10_52 = e3 & ~ (unit = e1))) & ( ~ (all_10_27 = e1) | % 82.83/12.33 (all_10_55 = e3 & ~ (unit = e1))) & ( ~ (all_10_30 = e1) | % 82.83/12.33 (all_10_44 = e2 & ~ (unit = e1))) & ( ~ (all_10_33 = e1) | % 82.83/12.33 (all_10_47 = e2 & ~ (unit = e1))) & ( ~ (all_10_35 = e1) | % 82.83/12.33 (all_10_50 = e2 & ~ (unit = e1))) & ( ~ (all_10_38 = e1) | % 82.83/12.33 (all_10_52 = e2 & ~ (unit = e1))) & ( ~ (all_10_41 = e1) | % 82.83/12.33 (all_10_55 = e2 & ~ (unit = e1))) & ( ~ (all_10_44 = e1) | ~ (unit % 82.83/12.33 = e1)) & ( ~ (all_10_47 = e1) | ~ (unit = e1)) & ( ~ (all_10_50 = % 82.83/12.33 e1) | ~ (unit = e1)) & ( ~ (all_10_52 = e1) | ~ (unit = e1)) & ( % 82.83/12.33 ~ (all_10_55 = e1) | ~ (unit = e1)) & ( ~ (all_10_58 = e1) | % 82.83/12.33 (all_10_44 = e0 & ~ (unit = e1))) & ( ~ (all_10_61 = e1) | % 82.83/12.33 (all_10_47 = e0 & ~ (unit = e1))) & ( ~ (all_10_64 = e1) | % 82.83/12.33 (all_10_50 = e0 & ~ (unit = e1))) & ( ~ (all_10_67 = e1) | % 82.83/12.33 (all_10_52 = e0 & ~ (unit = e1))) & ( ~ (all_10_69 = e1) | % 82.83/12.33 (all_10_55 = e0 & ~ (unit = e1)))) | (( ~ (all_10_1 = e0) | % 82.83/12.33 (all_10_58 = e4 & ~ (unit = e0))) & ( ~ (all_10_4 = e0) | (all_10_61 % 82.83/12.33 = e4 & ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = e4 & % 82.83/12.33 ~ (unit = e0))) & ( ~ (all_10_10 = e0) | (all_10_67 = e4 & ~ (unit % 82.83/12.33 = e0))) & ( ~ (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit = % 82.83/12.33 e0))) & ( ~ (all_10_16 = e0) | (all_10_58 = e3 & ~ (unit = e0))) % 82.83/12.33 & ( ~ (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit = e0))) & ( ~ % 82.83/12.33 (all_10_21 = e0) | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 82.83/12.33 (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit = e0))) & ( ~ % 82.83/12.33 (all_10_27 = e0) | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 82.83/12.33 (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit = e0))) & ( ~ % 82.83/12.33 (all_10_33 = e0) | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 82.83/12.33 (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit = e0))) & ( ~ % 82.83/12.33 (all_10_38 = e0) | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ % 82.83/12.33 (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit = e0))) & ( ~ % 82.83/12.33 (all_10_44 = e0) | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 82.83/12.33 (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit = e0))) & ( ~ % 82.83/12.33 (all_10_50 = e0) | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 82.83/12.33 (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit = e0))) & ( ~ % 82.83/12.33 (all_10_55 = e0) | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ % 82.83/12.33 (all_10_58 = e0) | ~ (unit = e0)) & ( ~ (all_10_61 = e0) | ~ (unit % 82.83/12.33 = e0)) & ( ~ (all_10_64 = e0) | ~ (unit = e0)) & ( ~ (all_10_67 = % 82.83/12.33 e0) | ~ (unit = e0)) & ( ~ (all_10_69 = e0) | ~ (unit = e0))) % 82.83/12.33 (2) ~ (all_4_7 = e4) % 82.83/12.33 (3) all_8_13 = all_4_8 % 82.83/12.33 (4) all_8_1 = e4 | all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 | all_8_21 = % 82.83/12.33 e4 % 82.83/12.33 (5) ~ (e3 = e2) % 82.83/12.33 (6) all_10_4 = e1 % 82.83/12.33 (7) all_8_21 = all_4_9 % 82.83/12.33 (8) ~ (all_4_8 = e4) % 82.83/12.33 (9) all_10_7 = e3 % 82.83/12.33 (10) all_10_35 = e4 % 82.83/12.33 (11) all_10_41 = all_4_14 % 82.83/12.33 (12) all_8_7 = all_4_7 % 82.83/12.33 (13) ~ (all_4_14 = e4) % 82.83/12.33 (14) ~ (all_4_6 = all_4_7) % 82.83/12.33 (15) all_10_13 = e2 % 82.83/12.33 (16) all_10_47 = all_4_16 % 82.83/12.33 (17) all_10_1 = e0 % 82.83/12.33 (18) all_8_3 = all_4_6 % 82.83/12.33 (19) all_10_58 = all_4_20 % 82.83/12.33 (20) all_8_1 = e2 % 82.83/12.33 (21) ~ (all_4_9 = e4) % 82.83/12.33 (22) ~ (e4 = e2) % 82.83/12.33 (23) ~ (all_4_20 = e4) % 82.83/12.33 (24) ~ (all_4_6 = all_4_16) % 82.83/12.33 (25) all_10_21 = all_4_7 % 82.83/12.33 % 82.83/12.33 Begin of proof % 82.83/12.33 | % 82.83/12.33 | BETA: splitting (4) gives: % 82.83/12.33 | % 82.83/12.33 | Case 1: % 82.83/12.33 | | % 82.83/12.33 | | (26) all_8_1 = e4 % 82.83/12.33 | | % 82.83/12.33 | | COMBINE_EQS: (20), (26) imply: % 82.83/12.33 | | (27) e4 = e2 % 82.83/12.33 | | % 82.83/12.33 | | REDUCE: (22), (27) imply: % 82.83/12.33 | | (28) $false % 82.83/12.33 | | % 82.83/12.33 | | CLOSE: (28) is inconsistent. % 82.83/12.33 | | % 82.83/12.33 | Case 2: % 82.83/12.33 | | % 82.83/12.33 | | (29) all_8_3 = e4 | all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4 % 82.83/12.33 | | % 82.83/12.33 | | BETA: splitting (29) gives: % 82.83/12.33 | | % 82.83/12.33 | | Case 1: % 82.83/12.33 | | | % 82.83/12.33 | | | (30) all_8_3 = e4 % 82.83/12.33 | | | % 82.83/12.33 | | | COMBINE_EQS: (18), (30) imply: % 82.83/12.33 | | | (31) all_4_6 = e4 % 82.83/12.33 | | | % 82.83/12.33 | | | SIMP: (31) implies: % 82.83/12.33 | | | (32) all_4_6 = e4 % 82.83/12.33 | | | % 82.83/12.33 | | | REDUCE: (14), (32) imply: % 82.83/12.33 | | | (33) ~ (all_4_7 = e4) % 82.83/12.33 | | | % 82.83/12.33 | | | REDUCE: (24), (32) imply: % 82.83/12.33 | | | (34) ~ (all_4_16 = e4) % 82.83/12.33 | | | % 82.83/12.33 | | | SIMP: (34) implies: % 82.83/12.33 | | | (35) ~ (all_4_16 = e4) % 82.83/12.33 | | | % 82.83/12.33 | | | REF_CLOSE: (1), (2), (5), (6), (9), (10), (11), (13), (15), (16), (17), % 82.83/12.33 | | | (19), (23), (25), (35) are inconsistent by sub-proof #165. % 82.83/12.33 | | | % 82.83/12.33 | | Case 2: % 82.83/12.33 | | | % 82.83/12.33 | | | (36) all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4 % 82.83/12.33 | | | % 82.83/12.33 | | | REF_CLOSE: (2), (3), (7), (8), (12), (21), (36) are inconsistent by % 82.83/12.33 | | | sub-proof #135. % 82.83/12.33 | | | % 82.83/12.33 | | End of split % 82.83/12.33 | | % 82.83/12.33 | End of split % 82.83/12.33 | % 82.83/12.33 End of proof % 82.83/12.33 % 82.83/12.33 Sub-proof #135 shows that the following formulas are inconsistent: % 82.83/12.33 ---------------------------------------------------------------- % 82.83/12.33 (1) ~ (all_4_7 = e4) % 82.83/12.33 (2) all_8_13 = all_4_8 % 82.83/12.33 (3) all_8_21 = all_4_9 % 82.83/12.33 (4) ~ (all_4_8 = e4) % 82.83/12.33 (5) all_8_7 = all_4_7 % 82.83/12.33 (6) all_8_7 = e4 | all_8_13 = e4 | all_8_21 = e4 % 82.83/12.33 (7) ~ (all_4_9 = e4) % 82.83/12.33 % 82.83/12.33 Begin of proof % 82.83/12.33 | % 82.83/12.33 | BETA: splitting (6) gives: % 82.83/12.33 | % 82.83/12.33 | Case 1: % 82.83/12.33 | | % 82.83/12.33 | | (8) all_8_7 = e4 % 82.83/12.33 | | % 82.83/12.33 | | REF_CLOSE: (1), (5), (8) are inconsistent by sub-proof #138. % 82.83/12.33 | | % 82.83/12.33 | Case 2: % 82.83/12.33 | | % 82.83/12.33 | | (9) all_8_13 = e4 | all_8_21 = e4 % 82.83/12.33 | | % 82.83/12.33 | | BETA: splitting (9) gives: % 82.83/12.33 | | % 82.83/12.33 | | Case 1: % 82.83/12.33 | | | % 82.83/12.33 | | | (10) all_8_13 = e4 % 82.83/12.33 | | | % 82.83/12.33 | | | REF_CLOSE: (2), (4), (10) are inconsistent by sub-proof #137. % 82.83/12.33 | | | % 82.83/12.33 | | Case 2: % 82.83/12.33 | | | % 82.83/12.33 | | | (11) all_8_21 = e4 % 82.83/12.33 | | | % 82.83/12.33 | | | REF_CLOSE: (3), (7), (11) are inconsistent by sub-proof #136. % 82.83/12.33 | | | % 82.83/12.33 | | End of split % 82.83/12.33 | | % 82.83/12.33 | End of split % 82.83/12.33 | % 82.83/12.33 End of proof % 82.83/12.33 % 82.83/12.33 Sub-proof #136 shows that the following formulas are inconsistent: % 82.83/12.33 ---------------------------------------------------------------- % 82.83/12.33 (1) all_8_21 = all_4_9 % 82.83/12.33 (2) all_8_21 = e4 % 82.83/12.33 (3) ~ (all_4_9 = e4) % 82.83/12.33 % 82.83/12.33 Begin of proof % 82.83/12.33 | % 82.83/12.33 | COMBINE_EQS: (1), (2) imply: % 82.83/12.33 | (4) all_4_9 = e4 % 82.83/12.33 | % 82.83/12.33 | SIMP: (4) implies: % 82.83/12.33 | (5) all_4_9 = e4 % 82.83/12.33 | % 82.83/12.33 | REDUCE: (3), (5) imply: % 82.83/12.33 | (6) $false % 82.83/12.33 | % 82.83/12.33 | CLOSE: (6) is inconsistent. % 82.83/12.33 | % 82.83/12.33 End of proof % 82.83/12.33 % 82.83/12.33 Sub-proof #137 shows that the following formulas are inconsistent: % 82.83/12.33 ---------------------------------------------------------------- % 82.83/12.33 (1) all_8_13 = all_4_8 % 82.83/12.33 (2) all_8_13 = e4 % 82.83/12.33 (3) ~ (all_4_8 = e4) % 82.83/12.33 % 82.83/12.33 Begin of proof % 82.83/12.33 | % 82.83/12.33 | COMBINE_EQS: (1), (2) imply: % 82.83/12.33 | (4) all_4_8 = e4 % 82.83/12.33 | % 82.83/12.33 | SIMP: (4) implies: % 82.83/12.33 | (5) all_4_8 = e4 % 82.83/12.33 | % 82.83/12.33 | REDUCE: (3), (5) imply: % 82.83/12.33 | (6) $false % 82.83/12.33 | % 82.83/12.33 | CLOSE: (6) is inconsistent. % 82.83/12.33 | % 82.83/12.33 End of proof % 82.83/12.33 % 82.83/12.33 Sub-proof #138 shows that the following formulas are inconsistent: % 82.83/12.33 ---------------------------------------------------------------- % 82.83/12.33 (1) all_8_7 = all_4_7 % 82.83/12.33 (2) all_8_7 = e4 % 82.83/12.33 (3) ~ (all_4_7 = e4) % 82.83/12.33 % 82.83/12.33 Begin of proof % 82.83/12.33 | % 82.83/12.33 | COMBINE_EQS: (1), (2) imply: % 82.83/12.33 | (4) all_4_7 = e4 % 82.83/12.33 | % 82.83/12.33 | SIMP: (4) implies: % 82.83/12.33 | (5) all_4_7 = e4 % 82.83/12.33 | % 82.83/12.33 | REDUCE: (3), (5) imply: % 82.83/12.33 | (6) $false % 82.83/12.33 | % 82.83/12.33 | CLOSE: (6) is inconsistent. % 82.83/12.33 | % 82.83/12.33 End of proof % 82.83/12.33 % 82.83/12.33 Sub-proof #139 shows that the following formulas are inconsistent: % 82.83/12.33 ---------------------------------------------------------------- % 82.83/12.33 (1) ~ (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit = e2)) % 82.83/12.33 (2) all_10_10 = e2 % 82.83/12.33 (3) all_10_38 = all_4_13 % 82.83/12.33 (4) ~ (all_4_13 = e4) % 82.83/12.33 % 82.83/12.33 Begin of proof % 82.83/12.33 | % 82.83/12.33 | BETA: splitting (1) gives: % 82.83/12.33 | % 82.83/12.33 | Case 1: % 82.83/12.33 | | % 82.83/12.33 | | (5) ~ (all_10_10 = e2) % 82.83/12.33 | | % 82.83/12.33 | | REDUCE: (2), (5) imply: % 82.83/12.33 | | (6) $false % 82.83/12.33 | | % 82.83/12.33 | | CLOSE: (6) is inconsistent. % 82.83/12.33 | | % 82.83/12.33 | Case 2: % 82.83/12.33 | | % 82.83/12.33 | | (7) all_10_38 = e4 & ~ (unit = e2) % 82.83/12.33 | | % 82.83/12.33 | | ALPHA: (7) implies: % 82.83/12.33 | | (8) all_10_38 = e4 % 82.83/12.33 | | % 82.83/12.33 | | COMBINE_EQS: (3), (8) imply: % 82.83/12.33 | | (9) all_4_13 = e4 % 82.83/12.33 | | % 82.83/12.33 | | SIMP: (9) implies: % 82.83/12.33 | | (10) all_4_13 = e4 % 82.83/12.33 | | % 82.83/12.33 | | REDUCE: (4), (10) imply: % 82.83/12.33 | | (11) $false % 82.83/12.33 | | % 82.83/12.33 | | CLOSE: (11) is inconsistent. % 82.83/12.33 | | % 82.83/12.33 | End of split % 82.83/12.33 | % 82.83/12.33 End of proof % 82.83/12.33 % 82.83/12.33 Sub-proof #140 shows that the following formulas are inconsistent: % 82.83/12.33 ---------------------------------------------------------------- % 82.83/12.33 (1) ~ (all_4_4 = e1) % 82.83/12.33 (2) all_6_20 = e3 | all_6_20 = e1 | all_6_20 = e0 % 82.83/12.33 (3) ~ (all_4_4 = e3) % 82.83/12.33 (4) all_6_20 = all_4_4 % 82.83/12.33 (5) ~ (all_4_4 = e0) % 82.83/12.33 % 82.83/12.33 Begin of proof % 82.83/12.33 | % 82.83/12.33 | BETA: splitting (2) gives: % 82.83/12.33 | % 82.83/12.33 | Case 1: % 82.83/12.33 | | % 82.83/12.33 | | (6) all_6_20 = e3 % 82.83/12.33 | | % 82.83/12.33 | | COMBINE_EQS: (4), (6) imply: % 82.83/12.33 | | (7) all_4_4 = e3 % 82.83/12.33 | | % 82.83/12.33 | | SIMP: (7) implies: % 82.83/12.33 | | (8) all_4_4 = e3 % 82.83/12.33 | | % 82.83/12.33 | | REDUCE: (3), (8) imply: % 82.83/12.33 | | (9) $false % 82.83/12.33 | | % 82.83/12.33 | | CLOSE: (9) is inconsistent. % 82.83/12.33 | | % 82.83/12.33 | Case 2: % 82.83/12.33 | | % 82.83/12.33 | | (10) all_6_20 = e1 | all_6_20 = e0 % 82.83/12.33 | | % 82.83/12.33 | | BETA: splitting (10) gives: % 82.83/12.33 | | % 82.83/12.33 | | Case 1: % 82.83/12.33 | | | % 82.83/12.33 | | | (11) all_6_20 = e1 % 82.83/12.33 | | | % 82.83/12.33 | | | COMBINE_EQS: (4), (11) imply: % 82.83/12.33 | | | (12) all_4_4 = e1 % 82.83/12.33 | | | % 82.83/12.33 | | | SIMP: (12) implies: % 82.83/12.33 | | | (13) all_4_4 = e1 % 82.83/12.33 | | | % 82.83/12.33 | | | REDUCE: (1), (13) imply: % 82.83/12.33 | | | (14) $false % 82.83/12.33 | | | % 82.83/12.33 | | | CLOSE: (14) is inconsistent. % 82.83/12.33 | | | % 82.83/12.33 | | Case 2: % 82.83/12.33 | | | % 82.83/12.33 | | | (15) all_6_20 = e0 % 82.83/12.33 | | | % 82.83/12.33 | | | COMBINE_EQS: (4), (15) imply: % 82.83/12.33 | | | (16) all_4_4 = e0 % 82.83/12.33 | | | % 82.83/12.33 | | | SIMP: (16) implies: % 82.83/12.33 | | | (17) all_4_4 = e0 % 82.83/12.33 | | | % 82.83/12.33 | | | REDUCE: (5), (17) imply: % 82.83/12.33 | | | (18) $false % 82.83/12.33 | | | % 82.83/12.33 | | | CLOSE: (18) is inconsistent. % 82.83/12.33 | | | % 82.83/12.33 | | End of split % 82.83/12.33 | | % 82.83/12.33 | End of split % 82.83/12.33 | % 82.83/12.33 End of proof % 82.83/12.33 % 82.83/12.33 Sub-proof #141 shows that the following formulas are inconsistent: % 82.83/12.33 ---------------------------------------------------------------- % 82.83/12.33 (1) (all_10_8 = e1 & ~ (all_10_9 = e4)) | (all_10_11 = e0 & ~ (all_10_12 = % 82.83/12.33 e4)) % 82.83/12.33 (2) all_10_8 = e0 % 82.83/12.33 (3) all_10_11 = all_4_10 % 82.83/12.33 (4) ~ (e1 = e0) % 82.83/12.33 (5) ~ (all_4_10 = e0) % 82.83/12.33 % 82.83/12.33 Begin of proof % 82.83/12.33 | % 82.83/12.33 | BETA: splitting (1) gives: % 82.83/12.33 | % 82.83/12.33 | Case 1: % 82.83/12.33 | | % 82.83/12.33 | | (6) all_10_8 = e1 & ~ (all_10_9 = e4) % 82.83/12.33 | | % 82.83/12.33 | | ALPHA: (6) implies: % 82.83/12.33 | | (7) all_10_8 = e1 % 82.83/12.33 | | % 82.83/12.33 | | COMBINE_EQS: (2), (7) imply: % 82.83/12.33 | | (8) e1 = e0 % 82.83/12.33 | | % 82.83/12.33 | | SIMP: (8) implies: % 82.83/12.33 | | (9) e1 = e0 % 82.83/12.33 | | % 82.83/12.33 | | REDUCE: (4), (9) imply: % 82.83/12.33 | | (10) $false % 82.83/12.33 | | % 82.83/12.33 | | CLOSE: (10) is inconsistent. % 82.83/12.33 | | % 82.83/12.33 | Case 2: % 82.83/12.33 | | % 82.83/12.33 | | (11) all_10_11 = e0 & ~ (all_10_12 = e4) % 82.83/12.33 | | % 82.83/12.33 | | ALPHA: (11) implies: % 82.83/12.33 | | (12) all_10_11 = e0 % 82.83/12.33 | | % 82.83/12.33 | | COMBINE_EQS: (3), (12) imply: % 82.83/12.33 | | (13) all_4_10 = e0 % 82.83/12.33 | | % 82.83/12.33 | | SIMP: (13) implies: % 82.83/12.33 | | (14) all_4_10 = e0 % 82.83/12.33 | | % 82.83/12.33 | | REDUCE: (5), (14) imply: % 82.83/12.33 | | (15) $false % 82.83/12.33 | | % 82.83/12.33 | | CLOSE: (15) is inconsistent. % 82.83/12.33 | | % 82.83/12.33 | End of split % 82.83/12.33 | % 82.83/12.33 End of proof % 82.83/12.33 % 82.83/12.33 Sub-proof #142 shows that the following formulas are inconsistent: % 82.83/12.33 ---------------------------------------------------------------- % 82.83/12.33 (1) all_10_64 = e3 & ~ (unit = e0) % 82.83/12.33 (2) all_10_64 = all_4_22 % 82.83/12.33 (3) ~ (all_4_22 = e3) % 82.83/12.33 % 82.83/12.33 Begin of proof % 82.83/12.33 | % 82.83/12.33 | ALPHA: (1) implies: % 82.83/12.33 | (4) all_10_64 = e3 % 82.83/12.33 | % 82.83/12.33 | COMBINE_EQS: (2), (4) imply: % 82.83/12.33 | (5) all_4_22 = e3 % 82.83/12.33 | % 82.83/12.33 | SIMP: (5) implies: % 82.83/12.33 | (6) all_4_22 = e3 % 82.83/12.33 | % 82.83/12.33 | REDUCE: (3), (6) imply: % 82.83/12.33 | (7) $false % 82.83/12.33 | % 82.83/12.33 | CLOSE: (7) is inconsistent. % 82.83/12.33 | % 82.83/12.33 End of proof % 82.83/12.33 % 82.83/12.33 Sub-proof #143 shows that the following formulas are inconsistent: % 82.83/12.33 ---------------------------------------------------------------- % 82.83/12.33 (1) all_6_11 = all_4_7 % 82.83/12.33 (2) all_6_11 = e0 % 82.83/12.33 (3) ~ (all_4_7 = e0) % 82.83/12.33 % 82.83/12.33 Begin of proof % 82.83/12.33 | % 82.83/12.33 | COMBINE_EQS: (1), (2) imply: % 82.83/12.33 | (4) all_4_7 = e0 % 82.83/12.33 | % 82.83/12.33 | SIMP: (4) implies: % 82.83/12.33 | (5) all_4_7 = e0 % 82.83/12.33 | % 82.83/12.33 | REDUCE: (3), (5) imply: % 82.83/12.33 | (6) $false % 82.83/12.33 | % 82.83/12.33 | CLOSE: (6) is inconsistent. % 82.83/12.33 | % 82.83/12.33 End of proof % 82.83/12.33 % 82.83/12.33 Sub-proof #144 shows that the following formulas are inconsistent: % 82.83/12.33 ---------------------------------------------------------------- % 82.83/12.33 (1) all_6_14 = all_4_22 % 82.83/12.33 (2) all_6_14 = e0 % 82.83/12.33 (3) ~ (all_4_22 = e0) % 82.83/12.33 % 82.83/12.33 Begin of proof % 82.83/12.33 | % 82.83/12.33 | COMBINE_EQS: (1), (2) imply: % 82.83/12.33 | (4) all_4_22 = e0 % 82.83/12.33 | % 82.83/12.33 | SIMP: (4) implies: % 82.83/12.33 | (5) all_4_22 = e0 % 82.83/12.33 | % 82.83/12.33 | REDUCE: (3), (5) imply: % 82.83/12.33 | (6) $false % 82.83/12.33 | % 82.83/12.33 | CLOSE: (6) is inconsistent. % 82.83/12.34 | % 82.83/12.34 End of proof % 82.83/12.34 % 82.83/12.34 Sub-proof #145 shows that the following formulas are inconsistent: % 82.83/12.34 ---------------------------------------------------------------- % 82.83/12.34 (1) all_6_14 = all_4_22 % 82.83/12.34 (2) all_6_14 = e1 % 82.83/12.34 (3) ~ (all_4_22 = e1) % 82.83/12.34 % 82.83/12.34 Begin of proof % 82.83/12.34 | % 82.83/12.34 | COMBINE_EQS: (1), (2) imply: % 82.83/12.34 | (4) all_4_22 = e1 % 82.83/12.34 | % 82.83/12.34 | SIMP: (4) implies: % 82.83/12.34 | (5) all_4_22 = e1 % 82.83/12.34 | % 82.83/12.34 | REDUCE: (3), (5) imply: % 82.83/12.34 | (6) $false % 82.83/12.34 | % 82.83/12.34 | CLOSE: (6) is inconsistent. % 82.83/12.34 | % 82.83/12.34 End of proof % 82.83/12.34 % 82.83/12.34 Sub-proof #146 shows that the following formulas are inconsistent: % 82.83/12.34 ---------------------------------------------------------------- % 82.83/12.34 (1) all_6_14 = all_4_22 % 82.83/12.34 (2) all_6_14 = e3 % 82.83/12.34 (3) ~ (all_4_22 = e3) % 82.83/12.34 % 82.83/12.34 Begin of proof % 82.83/12.34 | % 82.83/12.34 | COMBINE_EQS: (1), (2) imply: % 82.83/12.34 | (4) all_4_22 = e3 % 82.83/12.34 | % 82.83/12.34 | SIMP: (4) implies: % 82.83/12.34 | (5) all_4_22 = e3 % 82.83/12.34 | % 82.83/12.34 | REDUCE: (3), (5) imply: % 82.83/12.34 | (6) $false % 82.83/12.34 | % 82.83/12.34 | CLOSE: (6) is inconsistent. % 82.83/12.34 | % 82.83/12.34 End of proof % 82.83/12.34 % 82.83/12.34 Sub-proof #147 shows that the following formulas are inconsistent: % 82.83/12.34 ---------------------------------------------------------------- % 82.83/12.34 (1) all_8_8 = e4 % 82.83/12.34 (2) all_8_8 = e0 % 82.83/12.34 (3) ~ (e4 = e0) % 82.83/12.34 % 82.83/12.34 Begin of proof % 82.83/12.34 | % 82.83/12.34 | COMBINE_EQS: (1), (2) imply: % 82.83/12.34 | (4) e4 = e0 % 82.83/12.34 | % 82.83/12.34 | SIMP: (4) implies: % 82.83/12.34 | (5) e4 = e0 % 82.83/12.34 | % 82.83/12.34 | REDUCE: (3), (5) imply: % 82.83/12.34 | (6) $false % 82.83/12.34 | % 82.83/12.34 | CLOSE: (6) is inconsistent. % 82.83/12.34 | % 82.83/12.34 End of proof % 82.83/12.34 % 82.83/12.34 Sub-proof #148 shows that the following formulas are inconsistent: % 82.83/12.34 ---------------------------------------------------------------- % 82.83/12.34 (1) all_8_7 = e1 % 82.83/12.34 (2) all_8_7 = e0 % 82.83/12.34 (3) ~ (e1 = e0) % 82.83/12.34 % 82.83/12.34 Begin of proof % 82.83/12.34 | % 82.83/12.34 | COMBINE_EQS: (1), (2) imply: % 82.83/12.34 | (4) e1 = e0 % 82.83/12.34 | % 82.83/12.34 | SIMP: (4) implies: % 82.83/12.34 | (5) e1 = e0 % 82.83/12.34 | % 82.83/12.34 | REDUCE: (3), (5) imply: % 82.83/12.34 | (6) $false % 82.83/12.34 | % 82.83/12.34 | CLOSE: (6) is inconsistent. % 82.83/12.34 | % 82.83/12.34 End of proof % 82.83/12.34 % 82.83/12.34 Sub-proof #149 shows that the following formulas are inconsistent: % 82.83/12.34 ---------------------------------------------------------------- % 82.83/12.34 (1) all_6_11 = all_4_7 % 82.83/12.34 (2) all_6_11 = e3 % 82.83/12.34 (3) ~ (all_4_7 = e3) % 82.83/12.34 % 82.83/12.34 Begin of proof % 82.83/12.34 | % 82.83/12.34 | COMBINE_EQS: (1), (2) imply: % 82.83/12.34 | (4) all_4_7 = e3 % 82.83/12.34 | % 82.83/12.34 | SIMP: (4) implies: % 82.83/12.34 | (5) all_4_7 = e3 % 82.83/12.34 | % 82.83/12.34 | REDUCE: (3), (5) imply: % 82.83/12.34 | (6) $false % 82.83/12.34 | % 82.83/12.34 | CLOSE: (6) is inconsistent. % 82.83/12.34 | % 82.83/12.34 End of proof % 82.83/12.34 % 82.83/12.34 Sub-proof #150 shows that the following formulas are inconsistent: % 82.83/12.34 ---------------------------------------------------------------- % 82.83/12.34 (1) all_6_11 = all_4_7 % 82.83/12.34 (2) all_6_11 = e2 % 82.83/12.34 (3) ~ (all_4_7 = e2) % 82.83/12.34 % 82.83/12.34 Begin of proof % 82.83/12.34 | % 82.83/12.34 | COMBINE_EQS: (1), (2) imply: % 82.83/12.34 | (4) all_4_7 = e2 % 82.83/12.34 | % 82.83/12.34 | SIMP: (4) implies: % 82.83/12.34 | (5) all_4_7 = e2 % 82.83/12.34 | % 82.83/12.34 | REDUCE: (3), (5) imply: % 82.83/12.34 | (6) $false % 82.83/12.34 | % 82.83/12.34 | CLOSE: (6) is inconsistent. % 82.83/12.34 | % 82.83/12.34 End of proof % 82.83/12.34 % 82.83/12.34 Sub-proof #151 shows that the following formulas are inconsistent: % 82.83/12.34 ---------------------------------------------------------------- % 82.83/12.34 (1) ~ (all_4_17 = all_4_18) % 82.83/12.34 (2) ~ (all_4_11 = e1) % 82.83/12.34 (3) all_8_8 = e4 % 82.83/12.34 (4) all_10_38 = all_4_13 % 82.83/12.34 (5) ~ (all_4_19 = e2) % 82.83/12.34 (6) all_8_11 = all_4_17 % 82.83/12.34 (7) all_8_6 = e1 | all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | all_8_18 = % 82.83/12.34 e1 % 82.83/12.34 (8) all_10_50 = all_4_17 % 82.83/12.34 (9) all_8_16 = e4 % 82.83/12.34 (10) ~ (all_4_15 = e2) % 82.83/12.34 (11) ~ (all_4_15 = all_4_17) % 82.83/12.34 (12) all_10_41 = all_4_14 % 82.83/12.34 (13) all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 | all_8_18 = e2 % 82.83/12.34 (14) all_8_7 = all_4_7 % 82.83/12.34 (15) ~ (all_4_10 = e2) % 82.83/12.34 (16) all_10_44 = all_4_15 % 82.83/12.34 (17) ~ (all_4_13 = all_4_18) % 82.83/12.34 (18) all_8_4 = all_4_10 % 82.83/12.34 (19) ~ (all_4_18 = e4) % 82.83/12.34 (20) ~ (all_4_7 = e2) % 82.83/12.34 (21) ~ (all_4_13 = e4) % 82.83/12.34 (22) ~ (all_4_17 = e3) % 82.83/12.34 (23) ~ (all_4_15 = all_4_18) % 82.83/12.34 (24) all_8_4 = e1 | all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 | all_8_22 = % 82.83/12.34 e1 % 82.83/12.34 (25) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0 % 82.83/12.34 (26) all_10_55 = all_4_19 % 82.83/12.34 (27) ( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = e1))) & ( ~ (all_10_4 % 82.83/12.34 = e1) | (all_10_47 = e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) | % 82.83/12.34 (all_10_50 = e4 & ~ (unit = e1))) & ( ~ (all_10_10 = e1) | (all_10_52 % 82.83/12.34 = e4 & ~ (unit = e1))) & ( ~ (all_10_13 = e1) | (all_10_55 = e4 & % 82.83/12.34 ~ (unit = e1))) & ( ~ (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit % 82.83/12.34 = e1))) & ( ~ (all_10_18 = e1) | (all_10_47 = e3 & ~ (unit = % 82.83/12.34 e1))) & ( ~ (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit = e1))) % 82.83/12.34 & ( ~ (all_10_24 = e1) | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 82.83/12.34 (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = e1))) & ( ~ (all_10_30 % 82.83/12.34 = e1) | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ (all_10_33 = e1) | % 82.83/12.34 (all_10_47 = e2 & ~ (unit = e1))) & ( ~ (all_10_35 = e1) | (all_10_50 % 82.83/12.34 = e2 & ~ (unit = e1))) & ( ~ (all_10_38 = e1) | (all_10_52 = e2 & % 82.83/12.34 ~ (unit = e1))) & ( ~ (all_10_41 = e1) | (all_10_55 = e2 & ~ (unit % 82.83/12.34 = e1))) & ( ~ (all_10_44 = e1) | ~ (unit = e1)) & ( ~ (all_10_47 % 82.83/12.34 = e1) | ~ (unit = e1)) & ( ~ (all_10_50 = e1) | ~ (unit = e1)) & ( % 82.83/12.34 ~ (all_10_52 = e1) | ~ (unit = e1)) & ( ~ (all_10_55 = e1) | ~ (unit % 82.83/12.34 = e1)) & ( ~ (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit = e1))) & % 82.83/12.34 ( ~ (all_10_61 = e1) | (all_10_47 = e0 & ~ (unit = e1))) & ( ~ % 82.83/12.34 (all_10_64 = e1) | (all_10_50 = e0 & ~ (unit = e1))) & ( ~ (all_10_67 % 82.83/12.34 = e1) | (all_10_52 = e0 & ~ (unit = e1))) & ( ~ (all_10_69 = e1) | % 82.83/12.34 (all_10_55 = e0 & ~ (unit = e1))) % 82.83/12.34 (28) all_8_22 = all_4_14 % 82.83/12.34 (29) all_8_14 = all_4_13 % 82.83/12.34 (30) all_6_2 = all_4_10 % 82.83/12.34 (31) ~ (e4 = e1) % 82.83/12.34 (32) all_10_52 = all_4_18 % 82.83/12.34 (33) all_10_30 = all_4_10 % 82.83/12.34 (34) all_8_5 = all_4_11 % 82.83/12.34 (35) all_8_1 = e2 % 82.83/12.34 (36) all_8_9 = all_4_15 % 82.83/12.34 (37) all_8_6 = e3 % 82.83/12.34 (38) ~ (all_4_10 = all_4_13) % 82.83/12.34 (39) all_10_21 = all_4_7 % 82.83/12.34 (40) all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 | all_8_16 = e1 % 82.83/12.34 (41) ~ (all_4_10 = e0) % 82.83/12.34 % 82.83/12.34 Begin of proof % 82.83/12.34 | % 82.83/12.34 | ALPHA: (27) implies: % 82.83/12.34 | (42) ~ (all_10_41 = e1) | (all_10_55 = e2 & ~ (unit = e1)) % 82.83/12.34 | (43) ~ (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit = e1)) % 82.83/12.34 | (44) ~ (all_10_30 = e1) | (all_10_44 = e2 & ~ (unit = e1)) % 82.83/12.34 | (45) ~ (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit = e1)) % 82.83/12.34 | % 82.83/12.34 | BETA: splitting (45) gives: % 82.83/12.34 | % 82.83/12.34 | Case 1: % 82.83/12.34 | | % 82.83/12.34 | | (46) ~ (all_10_21 = e1) % 82.83/12.34 | | % 82.83/12.34 | | REDUCE: (39), (46) imply: % 82.83/12.34 | | (47) ~ (all_4_7 = e1) % 82.83/12.34 | | % 82.83/12.34 | | BETA: splitting (42) gives: % 82.83/12.34 | | % 82.83/12.34 | | Case 1: % 82.83/12.34 | | | % 82.83/12.34 | | | (48) ~ (all_10_41 = e1) % 82.83/12.34 | | | % 82.83/12.34 | | | REDUCE: (12), (48) imply: % 82.83/12.34 | | | (49) ~ (all_4_14 = e1) % 82.83/12.34 | | | % 82.83/12.34 | | | BETA: splitting (44) gives: % 82.83/12.34 | | | % 82.83/12.34 | | | Case 1: % 82.83/12.34 | | | | % 82.83/12.34 | | | | (50) ~ (all_10_30 = e1) % 82.83/12.34 | | | | % 82.83/12.34 | | | | REDUCE: (33), (50) imply: % 82.83/12.34 | | | | (51) ~ (all_4_10 = e1) % 82.83/12.34 | | | | % 82.83/12.34 | | | | BETA: splitting (24) gives: % 82.83/12.34 | | | | % 82.83/12.34 | | | | Case 1: % 82.83/12.34 | | | | | % 82.83/12.34 | | | | | (52) all_8_4 = e1 % 82.83/12.34 | | | | | % 82.83/12.34 | | | | | COMBINE_EQS: (18), (52) imply: % 82.83/12.34 | | | | | (53) all_4_10 = e1 % 82.83/12.34 | | | | | % 82.83/12.34 | | | | | REDUCE: (51), (53) imply: % 82.83/12.34 | | | | | (54) $false % 82.83/12.34 | | | | | % 82.83/12.34 | | | | | CLOSE: (54) is inconsistent. % 82.83/12.34 | | | | | % 82.83/12.34 | | | | Case 2: % 82.83/12.34 | | | | | % 82.83/12.34 | | | | | (55) all_8_5 = e1 | all_8_8 = e1 | all_8_14 = e1 | all_8_22 = e1 % 82.83/12.34 | | | | | % 82.83/12.34 | | | | | BETA: splitting (55) gives: % 82.83/12.34 | | | | | % 82.83/12.34 | | | | | Case 1: % 82.83/12.34 | | | | | | % 82.83/12.34 | | | | | | (56) all_8_5 = e1 % 82.83/12.34 | | | | | | % 82.83/12.34 | | | | | | COMBINE_EQS: (34), (56) imply: % 82.83/12.34 | | | | | | (57) all_4_11 = e1 % 82.83/12.34 | | | | | | % 82.83/12.34 | | | | | | REDUCE: (2), (57) imply: % 82.83/12.34 | | | | | | (58) $false % 82.83/12.34 | | | | | | % 82.83/12.34 | | | | | | CLOSE: (58) is inconsistent. % 82.83/12.34 | | | | | | % 82.83/12.34 | | | | | Case 2: % 82.83/12.34 | | | | | | % 82.83/12.34 | | | | | | (59) all_8_8 = e1 | all_8_14 = e1 | all_8_22 = e1 % 82.83/12.34 | | | | | | % 82.83/12.34 | | | | | | REF_CLOSE: (1), (3), (4), (6), (7), (9), (11), (13), (14), (15), % 82.83/12.34 | | | | | | (17), (18), (19), (20), (21), (23), (25), (28), (29), % 82.83/12.34 | | | | | | (30), (31), (32), (35), (36), (37), (38), (40), (41), % 82.83/12.34 | | | | | | (43), (47), (49), (59) are inconsistent by sub-proof % 82.83/12.34 | | | | | | #153. % 82.83/12.34 | | | | | | % 82.83/12.34 | | | | | End of split % 82.83/12.34 | | | | | % 82.83/12.34 | | | | End of split % 82.83/12.34 | | | | % 82.83/12.34 | | | Case 2: % 82.83/12.34 | | | | % 82.83/12.34 | | | | (60) all_10_44 = e2 & ~ (unit = e1) % 82.83/12.34 | | | | % 82.83/12.34 | | | | ALPHA: (60) implies: % 82.83/12.34 | | | | (61) all_10_44 = e2 % 82.83/12.34 | | | | % 82.83/12.34 | | | | COMBINE_EQS: (16), (61) imply: % 82.83/12.34 | | | | (62) all_4_15 = e2 % 82.83/12.34 | | | | % 82.83/12.34 | | | | REDUCE: (10), (62) imply: % 82.83/12.34 | | | | (63) $false % 82.83/12.34 | | | | % 82.83/12.34 | | | | CLOSE: (63) is inconsistent. % 82.83/12.34 | | | | % 82.83/12.34 | | | End of split % 82.83/12.34 | | | % 82.83/12.34 | | Case 2: % 82.83/12.34 | | | % 82.83/12.34 | | | (64) all_10_55 = e2 & ~ (unit = e1) % 82.83/12.34 | | | % 82.83/12.34 | | | ALPHA: (64) implies: % 82.83/12.34 | | | (65) all_10_55 = e2 % 82.83/12.34 | | | % 82.83/12.34 | | | COMBINE_EQS: (26), (65) imply: % 82.83/12.34 | | | (66) all_4_19 = e2 % 82.83/12.34 | | | % 82.83/12.34 | | | SIMP: (66) implies: % 82.83/12.34 | | | (67) all_4_19 = e2 % 82.83/12.34 | | | % 82.83/12.34 | | | REDUCE: (5), (67) imply: % 82.83/12.34 | | | (68) $false % 82.83/12.34 | | | % 82.83/12.34 | | | CLOSE: (68) is inconsistent. % 82.83/12.34 | | | % 82.83/12.34 | | End of split % 82.83/12.34 | | % 82.83/12.34 | Case 2: % 82.83/12.34 | | % 82.83/12.34 | | (69) all_10_50 = e3 & ~ (unit = e1) % 82.83/12.34 | | % 82.83/12.34 | | REF_CLOSE: (8), (22), (69) are inconsistent by sub-proof #152. % 82.83/12.34 | | % 82.83/12.34 | End of split % 82.83/12.34 | % 82.83/12.34 End of proof % 82.83/12.34 % 82.83/12.34 Sub-proof #152 shows that the following formulas are inconsistent: % 82.83/12.34 ---------------------------------------------------------------- % 82.83/12.34 (1) all_10_50 = e3 & ~ (unit = e1) % 82.83/12.34 (2) all_10_50 = all_4_17 % 82.83/12.34 (3) ~ (all_4_17 = e3) % 82.83/12.34 % 82.83/12.34 Begin of proof % 82.83/12.34 | % 82.83/12.34 | ALPHA: (1) implies: % 82.83/12.34 | (4) all_10_50 = e3 % 82.83/12.34 | % 82.83/12.34 | COMBINE_EQS: (2), (4) imply: % 82.83/12.34 | (5) all_4_17 = e3 % 82.83/12.34 | % 82.83/12.34 | SIMP: (5) implies: % 82.83/12.34 | (6) all_4_17 = e3 % 82.83/12.34 | % 82.83/12.34 | REDUCE: (3), (6) imply: % 82.83/12.34 | (7) $false % 82.83/12.34 | % 82.83/12.34 | CLOSE: (7) is inconsistent. % 82.83/12.34 | % 82.83/12.34 End of proof % 82.83/12.34 % 82.83/12.34 Sub-proof #153 shows that the following formulas are inconsistent: % 82.83/12.34 ---------------------------------------------------------------- % 82.83/12.34 (1) ~ (all_4_17 = all_4_18) % 82.83/12.34 (2) ~ (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit = e1)) % 82.83/12.34 (3) ~ (all_4_7 = e1) % 82.83/12.34 (4) all_8_8 = e4 % 82.83/12.34 (5) all_10_38 = all_4_13 % 82.83/12.34 (6) ~ (all_4_14 = e1) % 82.83/12.34 (7) all_8_11 = all_4_17 % 82.83/12.34 (8) all_8_6 = e1 | all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | all_8_18 = % 82.83/12.34 e1 % 82.83/12.34 (9) all_8_16 = e4 % 82.83/12.34 (10) ~ (all_4_15 = all_4_17) % 82.83/12.34 (11) all_8_7 = e2 | all_8_8 = e2 | all_8_11 = e2 | all_8_18 = e2 % 82.83/12.34 (12) all_8_7 = all_4_7 % 82.83/12.34 (13) ~ (all_4_10 = e2) % 82.83/12.34 (14) all_8_8 = e1 | all_8_14 = e1 | all_8_22 = e1 % 82.83/12.34 (15) ~ (all_4_13 = all_4_18) % 82.83/12.34 (16) all_8_4 = all_4_10 % 82.83/12.34 (17) ~ (all_4_18 = e4) % 82.83/12.34 (18) ~ (all_4_7 = e2) % 82.83/12.34 (19) ~ (all_4_13 = e4) % 82.83/12.34 (20) ~ (all_4_15 = all_4_18) % 82.83/12.34 (21) all_6_2 = e3 | all_6_2 = e2 | all_6_2 = e1 | all_6_2 = e0 % 82.83/12.34 (22) all_8_22 = all_4_14 % 82.83/12.34 (23) all_8_14 = all_4_13 % 82.83/12.34 (24) all_6_2 = all_4_10 % 82.83/12.34 (25) ~ (e4 = e1) % 82.83/12.34 (26) all_10_52 = all_4_18 % 82.83/12.34 (27) all_8_1 = e2 % 82.83/12.34 (28) all_8_9 = all_4_15 % 82.83/12.34 (29) all_8_6 = e3 % 82.83/12.34 (30) ~ (all_4_10 = all_4_13) % 82.83/12.34 (31) all_8_1 = e1 | all_8_4 = e1 | all_8_9 = e1 | all_8_16 = e1 % 82.83/12.34 (32) ~ (all_4_10 = e0) % 82.83/12.34 % 82.83/12.34 Begin of proof % 82.83/12.34 | % 82.83/12.34 | BETA: splitting (14) gives: % 82.83/12.34 | % 82.83/12.34 | Case 1: % 82.83/12.34 | | % 82.83/12.34 | | (33) all_8_8 = e1 % 82.83/12.34 | | % 82.83/12.34 | | REF_CLOSE: (4), (25), (33) are inconsistent by sub-proof #161. % 82.83/12.34 | | % 82.83/12.34 | Case 2: % 82.83/12.34 | | % 82.83/12.34 | | (34) all_8_14 = e1 | all_8_22 = e1 % 82.83/12.34 | | % 82.83/12.34 | | BETA: splitting (34) gives: % 82.83/12.34 | | % 82.83/12.34 | | Case 1: % 82.83/12.34 | | | % 82.83/12.34 | | | (35) all_8_14 = e1 % 82.83/12.34 | | | % 82.83/12.34 | | | COMBINE_EQS: (23), (35) imply: % 82.83/12.34 | | | (36) all_4_13 = e1 % 82.83/12.34 | | | % 82.83/12.34 | | | SIMP: (36) implies: % 82.83/12.34 | | | (37) all_4_13 = e1 % 82.83/12.34 | | | % 82.83/12.34 | | | COMBINE_EQS: (5), (37) imply: % 82.83/12.34 | | | (38) all_10_38 = e1 % 82.83/12.34 | | | % 82.83/12.34 | | | REDUCE: (30), (37) imply: % 82.83/12.34 | | | (39) ~ (all_4_10 = e1) % 82.83/12.34 | | | % 82.83/12.34 | | | REDUCE: (15), (37) imply: % 82.83/12.34 | | | (40) ~ (all_4_18 = e1) % 82.83/12.34 | | | % 82.83/12.34 | | | SIMP: (40) implies: % 82.83/12.34 | | | (41) ~ (all_4_18 = e1) % 82.83/12.34 | | | % 82.83/12.34 | | | REDUCE: (19), (37) imply: % 82.83/12.34 | | | (42) ~ (e4 = e1) % 82.83/12.34 | | | % 82.83/12.34 | | | BETA: splitting (21) gives: % 82.83/12.34 | | | % 82.83/12.34 | | | Case 1: % 82.83/12.34 | | | | % 82.83/12.34 | | | | (43) all_6_2 = e2 % 82.83/12.34 | | | | % 82.83/12.34 | | | | COMBINE_EQS: (24), (43) imply: % 82.83/12.34 | | | | (44) all_4_10 = e2 % 82.83/12.34 | | | | % 82.83/12.34 | | | | REDUCE: (13), (44) imply: % 82.83/12.34 | | | | (45) $false % 82.83/12.34 | | | | % 82.83/12.34 | | | | CLOSE: (45) is inconsistent. % 82.83/12.34 | | | | % 82.83/12.34 | | | Case 2: % 82.83/12.34 | | | | % 82.83/12.34 | | | | (46) all_6_2 = e3 | all_6_2 = e1 | all_6_2 = e0 % 82.83/12.34 | | | | % 82.83/12.34 | | | | BETA: splitting (2) gives: % 82.83/12.34 | | | | % 82.83/12.34 | | | | Case 1: % 82.83/12.34 | | | | | % 82.83/12.34 | | | | | (47) ~ (all_10_38 = e1) % 82.83/12.34 | | | | | % 82.83/12.34 | | | | | REDUCE: (38), (47) imply: % 82.83/12.34 | | | | | (48) $false % 82.83/12.34 | | | | | % 82.83/12.34 | | | | | CLOSE: (48) is inconsistent. % 82.83/12.34 | | | | | % 82.83/12.34 | | | | Case 2: % 82.83/12.34 | | | | | % 82.83/12.34 | | | | | (49) all_10_52 = e2 & ~ (unit = e1) % 82.83/12.34 | | | | | % 82.83/12.34 | | | | | ALPHA: (49) implies: % 82.83/12.34 | | | | | (50) all_10_52 = e2 % 82.83/12.34 | | | | | % 82.83/12.34 | | | | | COMBINE_EQS: (26), (50) imply: % 82.83/12.34 | | | | | (51) all_4_18 = e2 % 82.83/12.34 | | | | | % 82.83/12.34 | | | | | SIMP: (51) implies: % 82.83/12.34 | | | | | (52) all_4_18 = e2 % 82.83/12.34 | | | | | % 82.83/12.34 | | | | | REDUCE: (20), (52) imply: % 82.83/12.34 | | | | | (53) ~ (all_4_15 = e2) % 82.83/12.34 | | | | | % 82.83/12.34 | | | | | REDUCE: (1), (52) imply: % 82.83/12.34 | | | | | (54) ~ (all_4_17 = e2) % 82.83/12.34 | | | | | % 82.83/12.34 | | | | | REDUCE: (17), (52) imply: % 82.83/12.34 | | | | | (55) ~ (e4 = e2) % 82.83/12.34 | | | | | % 82.83/12.34 | | | | | SIMP: (55) implies: % 82.83/12.34 | | | | | (56) ~ (e4 = e2) % 82.83/12.34 | | | | | % 82.83/12.34 | | | | | REDUCE: (41), (52) imply: % 82.83/12.34 | | | | | (57) ~ (e2 = e1) % 82.83/12.34 | | | | | % 82.83/12.34 | | | | | BETA: splitting (11) gives: % 82.83/12.34 | | | | | % 82.83/12.34 | | | | | Case 1: % 82.83/12.34 | | | | | | % 82.83/12.34 | | | | | | (58) all_8_7 = e2 % 82.83/12.34 | | | | | | % 82.83/12.34 | | | | | | COMBINE_EQS: (12), (58) imply: % 82.83/12.34 | | | | | | (59) all_4_7 = e2 % 82.83/12.34 | | | | | | % 82.83/12.34 | | | | | | SIMP: (59) implies: % 82.83/12.34 | | | | | | (60) all_4_7 = e2 % 82.83/12.34 | | | | | | % 82.83/12.34 | | | | | | REDUCE: (18), (60) imply: % 82.83/12.34 | | | | | | (61) $false % 82.83/12.34 | | | | | | % 82.83/12.34 | | | | | | CLOSE: (61) is inconsistent. % 82.83/12.34 | | | | | | % 82.83/12.34 | | | | | Case 2: % 82.83/12.34 | | | | | | % 82.83/12.34 | | | | | | (62) all_8_8 = e2 | all_8_11 = e2 | all_8_18 = e2 % 82.83/12.34 | | | | | | % 82.83/12.34 | | | | | | BETA: splitting (62) gives: % 82.83/12.34 | | | | | | % 82.83/12.34 | | | | | | Case 1: % 82.83/12.34 | | | | | | | % 82.83/12.34 | | | | | | | (63) all_8_8 = e2 % 82.83/12.34 | | | | | | | % 82.83/12.34 | | | | | | | REF_CLOSE: (4), (56), (63) are inconsistent by sub-proof #160. % 82.83/12.34 | | | | | | | % 82.83/12.34 | | | | | | Case 2: % 82.83/12.34 | | | | | | | % 82.83/12.34 | | | | | | | (64) all_8_11 = e2 | all_8_18 = e2 % 82.83/12.34 | | | | | | | % 82.83/12.34 | | | | | | | BETA: splitting (64) gives: % 82.83/12.34 | | | | | | | % 82.83/12.34 | | | | | | | Case 1: % 82.83/12.34 | | | | | | | | % 82.83/12.34 | | | | | | | | (65) all_8_11 = e2 % 82.83/12.34 | | | | | | | | % 82.83/12.34 | | | | | | | | REF_CLOSE: (7), (54), (65) are inconsistent by sub-proof #159. % 82.83/12.34 | | | | | | | | % 82.83/12.34 | | | | | | | Case 2: % 82.83/12.34 | | | | | | | | % 82.83/12.34 | | | | | | | | (66) all_8_18 = e2 % 82.83/12.34 | | | | | | | | % 82.83/12.34 | | | | | | | | BETA: splitting (46) gives: % 82.83/12.34 | | | | | | | | % 82.83/12.34 | | | | | | | | Case 1: % 82.83/12.34 | | | | | | | | | % 82.83/12.34 | | | | | | | | | (67) all_6_2 = e3 % 82.83/12.34 | | | | | | | | | % 82.83/12.34 | | | | | | | | | COMBINE_EQS: (24), (67) imply: % 82.83/12.34 | | | | | | | | | (68) all_4_10 = e3 % 82.83/12.34 | | | | | | | | | % 82.83/12.34 | | | | | | | | | SIMP: (68) implies: % 82.83/12.34 | | | | | | | | | (69) all_4_10 = e3 % 82.83/12.34 | | | | | | | | | % 82.83/12.34 | | | | | | | | | COMBINE_EQS: (16), (69) imply: % 82.83/12.34 | | | | | | | | | (70) all_8_4 = e3 % 82.83/12.34 | | | | | | | | | % 82.83/12.34 | | | | | | | | | REDUCE: (39), (69) imply: % 82.83/12.34 | | | | | | | | | (71) ~ (e3 = e1) % 82.83/12.34 | | | | | | | | | % 82.83/12.34 | | | | | | | | | BETA: splitting (8) gives: % 82.83/12.34 | | | | | | | | | % 82.83/12.34 | | | | | | | | | Case 1: % 82.83/12.34 | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | (72) all_8_6 = e1 % 82.83/12.34 | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | COMBINE_EQS: (29), (72) imply: % 82.83/12.34 | | | | | | | | | | (73) e3 = e1 % 82.83/12.34 | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | REDUCE: (71), (73) imply: % 82.83/12.34 | | | | | | | | | | (74) $false % 82.83/12.34 | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | CLOSE: (74) is inconsistent. % 82.83/12.34 | | | | | | | | | | % 82.83/12.34 | | | | | | | | | Case 2: % 82.83/12.34 | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | (75) ~ (all_8_6 = e1) % 82.83/12.34 | | | | | | | | | | (76) all_8_7 = e1 | all_8_8 = e1 | all_8_11 = e1 | % 82.83/12.34 | | | | | | | | | | all_8_18 = e1 % 82.83/12.34 | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | BETA: splitting (76) gives: % 82.83/12.34 | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | Case 1: % 82.83/12.34 | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | (77) all_8_7 = e1 % 82.83/12.34 | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | COMBINE_EQS: (12), (77) imply: % 82.83/12.34 | | | | | | | | | | | (78) all_4_7 = e1 % 82.83/12.34 | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | REDUCE: (3), (78) imply: % 82.83/12.34 | | | | | | | | | | | (79) $false % 82.83/12.34 | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | CLOSE: (79) is inconsistent. % 82.83/12.34 | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | Case 2: % 82.83/12.34 | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | (80) all_8_8 = e1 | all_8_11 = e1 | all_8_18 = e1 % 82.83/12.34 | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | BETA: splitting (80) gives: % 82.83/12.34 | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | Case 1: % 82.83/12.34 | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | (81) all_8_8 = e1 % 82.83/12.34 | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | REF_CLOSE: (4), (25), (81) are inconsistent by sub-proof % 82.83/12.34 | | | | | | | | | | | | #161. % 82.83/12.34 | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | Case 2: % 82.83/12.34 | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | (82) ~ (all_8_8 = e1) % 82.83/12.34 | | | | | | | | | | | | (83) all_8_11 = e1 | all_8_18 = e1 % 82.83/12.34 | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | BETA: splitting (31) gives: % 82.83/12.34 | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | Case 1: % 82.83/12.34 | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | (84) all_8_1 = e1 % 82.83/12.34 | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | REF_CLOSE: (27), (57), (84) are inconsistent by sub-proof % 82.83/12.34 | | | | | | | | | | | | | #158. % 82.83/12.34 | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | Case 2: % 82.83/12.34 | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | (85) all_8_4 = e1 | all_8_9 = e1 | all_8_16 = e1 % 82.83/12.34 | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | BETA: splitting (85) gives: % 82.83/12.34 | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | Case 1: % 82.83/12.34 | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | (86) all_8_4 = e1 % 82.83/12.34 | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | COMBINE_EQS: (70), (86) imply: % 82.83/12.34 | | | | | | | | | | | | | | (87) e3 = e1 % 82.83/12.34 | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | REDUCE: (71), (87) imply: % 82.83/12.34 | | | | | | | | | | | | | | (88) $false % 82.83/12.34 | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | CLOSE: (88) is inconsistent. % 82.83/12.34 | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | Case 2: % 82.83/12.34 | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | (89) all_8_9 = e1 | all_8_16 = e1 % 82.83/12.34 | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | BETA: splitting (89) gives: % 82.83/12.34 | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | Case 1: % 82.83/12.34 | | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | | (90) all_8_9 = e1 % 82.83/12.34 | | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | | COMBINE_EQS: (28), (90) imply: % 82.83/12.34 | | | | | | | | | | | | | | | (91) all_4_15 = e1 % 82.83/12.34 | | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | | SIMP: (91) implies: % 82.83/12.34 | | | | | | | | | | | | | | | (92) all_4_15 = e1 % 82.83/12.34 | | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | | REDUCE: (10), (92) imply: % 82.83/12.34 | | | | | | | | | | | | | | | (93) ~ (all_4_17 = e1) % 82.83/12.34 | | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | | SIMP: (93) implies: % 82.83/12.34 | | | | | | | | | | | | | | | (94) ~ (all_4_17 = e1) % 82.83/12.34 | | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | | REDUCE: (53), (92) imply: % 82.83/12.34 | | | | | | | | | | | | | | | (95) ~ (e2 = e1) % 82.83/12.34 | | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | | BETA: splitting (83) gives: % 82.83/12.34 | | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | | Case 1: % 82.83/12.34 | | | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | | | (96) all_8_11 = e1 % 82.83/12.34 | | | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | | | COMBINE_EQS: (7), (96) imply: % 82.83/12.34 | | | | | | | | | | | | | | | | (97) all_4_17 = e1 % 82.83/12.34 | | | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | | | SIMP: (97) implies: % 82.83/12.34 | | | | | | | | | | | | | | | | (98) all_4_17 = e1 % 82.83/12.34 | | | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | | | REDUCE: (94), (98) imply: % 82.83/12.34 | | | | | | | | | | | | | | | | (99) $false % 82.83/12.34 | | | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | | | CLOSE: (99) is inconsistent. % 82.83/12.34 | | | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | | Case 2: % 82.83/12.34 | | | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | | | (100) all_8_18 = e1 % 82.83/12.34 | | | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | | | COMBINE_EQS: (66), (100) imply: % 82.83/12.34 | | | | | | | | | | | | | | | | (101) e2 = e1 % 82.83/12.34 | | | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | | | SIMP: (101) implies: % 82.83/12.34 | | | | | | | | | | | | | | | | (102) e2 = e1 % 82.83/12.34 | | | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | | | REDUCE: (57), (102) imply: % 82.83/12.34 | | | | | | | | | | | | | | | | (103) $false % 82.83/12.34 | | | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | | | CLOSE: (103) is inconsistent. % 82.83/12.34 | | | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | | End of split % 82.83/12.34 | | | | | | | | | | | | | | | % 82.83/12.34 | | | | | | | | | | | | | | Case 2: % 82.83/12.34 | | | | | | | | | | | | | | | % 82.83/12.35 | | | | | | | | | | | | | | | (104) all_8_16 = e1 % 82.83/12.35 | | | | | | | | | | | | | | | % 82.83/12.35 | | | | | | | | | | | | | | | REF_CLOSE: (9), (25), (104) are inconsistent by sub-proof % 82.83/12.35 | | | | | | | | | | | | | | | #157. % 82.83/12.35 | | | | | | | | | | | | | | | % 82.83/12.35 | | | | | | | | | | | | | | End of split % 82.83/12.35 | | | | | | | | | | | | | | % 82.83/12.35 | | | | | | | | | | | | | End of split % 82.83/12.35 | | | | | | | | | | | | | % 82.83/12.35 | | | | | | | | | | | | End of split % 82.83/12.35 | | | | | | | | | | | | % 82.83/12.35 | | | | | | | | | | | End of split % 82.83/12.35 | | | | | | | | | | | % 82.83/12.35 | | | | | | | | | | End of split % 82.83/12.35 | | | | | | | | | | % 82.83/12.35 | | | | | | | | | End of split % 82.83/12.35 | | | | | | | | | % 82.83/12.35 | | | | | | | | Case 2: % 82.83/12.35 | | | | | | | | | % 82.83/12.35 | | | | | | | | | (105) all_6_2 = e1 | all_6_2 = e0 % 82.83/12.35 | | | | | | | | | % 82.83/12.35 | | | | | | | | | REF_CLOSE: (24), (32), (39), (105) are inconsistent by % 82.83/12.35 | | | | | | | | | sub-proof #155. % 82.83/12.35 | | | | | | | | | % 82.83/12.35 | | | | | | | | End of split % 82.83/12.35 | | | | | | | | % 82.83/12.35 | | | | | | | End of split % 82.83/12.35 | | | | | | | % 82.83/12.35 | | | | | | End of split % 82.83/12.35 | | | | | | % 82.83/12.35 | | | | | End of split % 82.83/12.35 | | | | | % 82.83/12.35 | | | | End of split % 82.83/12.35 | | | | % 82.83/12.35 | | | End of split % 82.83/12.35 | | | % 82.83/12.35 | | Case 2: % 82.83/12.35 | | | % 82.83/12.35 | | | (106) all_8_22 = e1 % 82.83/12.35 | | | % 82.83/12.35 | | | REF_CLOSE: (6), (22), (106) are inconsistent by sub-proof #154. % 82.83/12.35 | | | % 82.83/12.35 | | End of split % 82.83/12.35 | | % 82.83/12.35 | End of split % 82.83/12.35 | % 82.83/12.35 End of proof % 82.83/12.35 % 82.83/12.35 Sub-proof #154 shows that the following formulas are inconsistent: % 82.83/12.35 ---------------------------------------------------------------- % 82.83/12.35 (1) all_8_22 = all_4_14 % 82.83/12.35 (2) all_8_22 = e1 % 82.83/12.35 (3) ~ (all_4_14 = e1) % 82.83/12.35 % 82.83/12.35 Begin of proof % 82.83/12.35 | % 82.83/12.35 | COMBINE_EQS: (1), (2) imply: % 82.83/12.35 | (4) all_4_14 = e1 % 82.83/12.35 | % 82.83/12.35 | SIMP: (4) implies: % 82.83/12.35 | (5) all_4_14 = e1 % 82.83/12.35 | % 82.83/12.35 | REDUCE: (3), (5) imply: % 82.83/12.35 | (6) $false % 82.83/12.35 | % 82.83/12.35 | CLOSE: (6) is inconsistent. % 82.83/12.35 | % 82.83/12.35 End of proof % 82.83/12.35 % 82.83/12.35 Sub-proof #155 shows that the following formulas are inconsistent: % 82.83/12.35 ---------------------------------------------------------------- % 82.83/12.35 (1) all_6_2 = e1 | all_6_2 = e0 % 82.83/12.35 (2) all_6_2 = all_4_10 % 82.83/12.35 (3) ~ (all_4_10 = e1) % 82.83/12.35 (4) ~ (all_4_10 = e0) % 82.83/12.35 % 82.83/12.35 Begin of proof % 82.83/12.35 | % 82.83/12.35 | BETA: splitting (1) gives: % 82.83/12.35 | % 82.83/12.35 | Case 1: % 82.83/12.35 | | % 82.83/12.35 | | (5) all_6_2 = e1 % 82.83/12.35 | | % 82.83/12.35 | | COMBINE_EQS: (2), (5) imply: % 82.83/12.35 | | (6) all_4_10 = e1 % 82.83/12.35 | | % 82.83/12.35 | | SIMP: (6) implies: % 82.83/12.35 | | (7) all_4_10 = e1 % 82.83/12.35 | | % 82.83/12.35 | | REDUCE: (3), (7) imply: % 82.83/12.35 | | (8) $false % 82.83/12.35 | | % 82.83/12.35 | | CLOSE: (8) is inconsistent. % 82.83/12.35 | | % 82.83/12.35 | Case 2: % 82.83/12.35 | | % 82.83/12.35 | | (9) all_6_2 = e0 % 82.83/12.35 | | % 82.83/12.35 | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #156. % 82.83/12.35 | | % 82.83/12.35 | End of split % 82.83/12.35 | % 82.83/12.35 End of proof % 82.83/12.35 % 82.83/12.35 Sub-proof #156 shows that the following formulas are inconsistent: % 82.83/12.35 ---------------------------------------------------------------- % 82.83/12.35 (1) all_6_2 = all_4_10 % 82.83/12.35 (2) all_6_2 = e0 % 82.83/12.35 (3) ~ (all_4_10 = e0) % 82.83/12.35 % 82.83/12.35 Begin of proof % 82.83/12.35 | % 82.83/12.35 | COMBINE_EQS: (1), (2) imply: % 82.83/12.35 | (4) all_4_10 = e0 % 82.83/12.35 | % 82.83/12.35 | SIMP: (4) implies: % 82.83/12.35 | (5) all_4_10 = e0 % 82.83/12.35 | % 82.83/12.35 | REDUCE: (3), (5) imply: % 82.83/12.35 | (6) $false % 82.83/12.35 | % 82.83/12.35 | CLOSE: (6) is inconsistent. % 82.83/12.35 | % 82.83/12.35 End of proof % 82.83/12.35 % 82.83/12.35 Sub-proof #157 shows that the following formulas are inconsistent: % 82.83/12.35 ---------------------------------------------------------------- % 82.83/12.35 (1) all_8_16 = e4 % 82.83/12.35 (2) all_8_16 = e1 % 82.83/12.35 (3) ~ (e4 = e1) % 82.83/12.35 % 82.83/12.35 Begin of proof % 82.83/12.35 | % 82.83/12.35 | COMBINE_EQS: (1), (2) imply: % 82.83/12.35 | (4) e4 = e1 % 82.83/12.35 | % 82.83/12.35 | SIMP: (4) implies: % 82.83/12.35 | (5) e4 = e1 % 82.83/12.35 | % 82.83/12.35 | REDUCE: (3), (5) imply: % 82.83/12.35 | (6) $false % 82.83/12.35 | % 82.83/12.35 | CLOSE: (6) is inconsistent. % 82.83/12.35 | % 82.83/12.35 End of proof % 82.83/12.35 % 82.83/12.35 Sub-proof #158 shows that the following formulas are inconsistent: % 82.83/12.35 ---------------------------------------------------------------- % 82.83/12.35 (1) all_8_1 = e2 % 82.83/12.35 (2) all_8_1 = e1 % 82.83/12.35 (3) ~ (e2 = e1) % 82.83/12.35 % 82.83/12.35 Begin of proof % 82.83/12.35 | % 82.83/12.35 | COMBINE_EQS: (1), (2) imply: % 82.83/12.35 | (4) e2 = e1 % 82.83/12.35 | % 82.83/12.35 | SIMP: (4) implies: % 82.83/12.35 | (5) e2 = e1 % 82.83/12.35 | % 82.83/12.35 | REDUCE: (3), (5) imply: % 82.83/12.35 | (6) $false % 82.83/12.35 | % 82.83/12.35 | CLOSE: (6) is inconsistent. % 82.83/12.35 | % 82.83/12.35 End of proof % 82.83/12.35 % 82.83/12.35 Sub-proof #159 shows that the following formulas are inconsistent: % 82.83/12.35 ---------------------------------------------------------------- % 82.83/12.35 (1) all_8_11 = all_4_17 % 82.83/12.35 (2) all_8_11 = e2 % 82.83/12.35 (3) ~ (all_4_17 = e2) % 82.83/12.35 % 82.83/12.35 Begin of proof % 82.83/12.35 | % 82.83/12.35 | COMBINE_EQS: (1), (2) imply: % 82.83/12.35 | (4) all_4_17 = e2 % 82.83/12.35 | % 82.83/12.35 | SIMP: (4) implies: % 82.83/12.35 | (5) all_4_17 = e2 % 82.83/12.35 | % 82.83/12.35 | REDUCE: (3), (5) imply: % 82.83/12.35 | (6) $false % 82.83/12.35 | % 82.83/12.35 | CLOSE: (6) is inconsistent. % 82.83/12.35 | % 82.83/12.35 End of proof % 82.83/12.35 % 82.83/12.35 Sub-proof #160 shows that the following formulas are inconsistent: % 82.83/12.35 ---------------------------------------------------------------- % 82.83/12.35 (1) all_8_8 = e4 % 82.83/12.35 (2) all_8_8 = e2 % 82.83/12.35 (3) ~ (e4 = e2) % 82.83/12.35 % 82.83/12.35 Begin of proof % 82.83/12.35 | % 82.83/12.35 | COMBINE_EQS: (1), (2) imply: % 82.83/12.35 | (4) e4 = e2 % 82.83/12.35 | % 82.83/12.35 | SIMP: (4) implies: % 82.83/12.35 | (5) e4 = e2 % 82.83/12.35 | % 82.83/12.35 | REDUCE: (3), (5) imply: % 82.83/12.35 | (6) $false % 82.83/12.35 | % 82.83/12.35 | CLOSE: (6) is inconsistent. % 82.83/12.35 | % 82.83/12.35 End of proof % 82.83/12.35 % 82.83/12.35 Sub-proof #161 shows that the following formulas are inconsistent: % 82.83/12.35 ---------------------------------------------------------------- % 82.83/12.35 (1) all_8_8 = e4 % 82.83/12.35 (2) all_8_8 = e1 % 82.83/12.35 (3) ~ (e4 = e1) % 82.83/12.35 % 82.83/12.35 Begin of proof % 82.83/12.35 | % 82.83/12.35 | COMBINE_EQS: (1), (2) imply: % 82.83/12.35 | (4) e4 = e1 % 82.83/12.35 | % 82.83/12.35 | SIMP: (4) implies: % 82.83/12.35 | (5) e4 = e1 % 82.83/12.35 | % 82.83/12.35 | REDUCE: (3), (5) imply: % 82.83/12.35 | (6) $false % 82.83/12.35 | % 82.83/12.35 | CLOSE: (6) is inconsistent. % 82.83/12.35 | % 82.83/12.35 End of proof % 82.83/12.35 % 82.83/12.35 Sub-proof #162 shows that the following formulas are inconsistent: % 82.83/12.35 ---------------------------------------------------------------- % 82.83/12.35 (1) all_8_6 = e3 % 82.83/12.35 (2) all_8_6 = e0 % 82.83/12.35 (3) ~ (e3 = e0) % 82.83/12.35 % 82.83/12.35 Begin of proof % 82.83/12.35 | % 82.83/12.35 | COMBINE_EQS: (1), (2) imply: % 82.83/12.35 | (4) e3 = e0 % 82.83/12.35 | % 82.83/12.35 | SIMP: (4) implies: % 82.83/12.35 | (5) e3 = e0 % 82.83/12.35 | % 82.83/12.35 | REDUCE: (3), (5) imply: % 82.83/12.35 | (6) $false % 82.83/12.35 | % 82.83/12.35 | CLOSE: (6) is inconsistent. % 82.83/12.35 | % 82.83/12.35 End of proof % 82.83/12.35 % 82.83/12.35 Sub-proof #163 shows that the following formulas are inconsistent: % 82.83/12.35 ---------------------------------------------------------------- % 82.83/12.35 (1) all_8_6 = e3 % 82.83/12.35 (2) all_8_6 = e2 % 82.83/12.35 (3) ~ (e3 = e2) % 82.83/12.35 % 82.83/12.35 Begin of proof % 82.83/12.35 | % 82.83/12.35 | COMBINE_EQS: (1), (2) imply: % 82.83/12.35 | (4) e3 = e2 % 82.83/12.35 | % 82.83/12.35 | SIMP: (4) implies: % 82.83/12.35 | (5) e3 = e2 % 82.83/12.35 | % 82.83/12.35 | REDUCE: (3), (5) imply: % 82.83/12.35 | (6) $false % 82.83/12.35 | % 82.83/12.35 | CLOSE: (6) is inconsistent. % 82.83/12.35 | % 82.83/12.35 End of proof % 82.83/12.35 % 82.83/12.35 Sub-proof #164 shows that the following formulas are inconsistent: % 82.83/12.35 ---------------------------------------------------------------- % 82.83/12.35 (1) all_8_9 = all_4_15 % 82.83/12.35 (2) all_8_9 = e4 % 82.83/12.35 (3) ~ (all_4_15 = e4) % 82.83/12.35 % 82.83/12.35 Begin of proof % 82.83/12.35 | % 82.83/12.35 | COMBINE_EQS: (1), (2) imply: % 82.83/12.35 | (4) all_4_15 = e4 % 82.83/12.35 | % 82.83/12.35 | SIMP: (4) implies: % 82.83/12.35 | (5) all_4_15 = e4 % 82.83/12.35 | % 82.83/12.35 | REDUCE: (3), (5) imply: % 82.83/12.35 | (6) $false % 82.83/12.35 | % 82.83/12.35 | CLOSE: (6) is inconsistent. % 82.83/12.35 | % 82.83/12.35 End of proof % 82.83/12.35 % 82.83/12.35 Sub-proof #165 shows that the following formulas are inconsistent: % 82.83/12.35 ---------------------------------------------------------------- % 82.83/12.35 (1) (( ~ (all_10_1 = e4) | ~ (unit = e4)) & ( ~ (all_10_4 = e4) | ~ (unit = % 82.83/12.35 e4)) & ( ~ (all_10_7 = e4) | ~ (unit = e4)) & ( ~ (all_10_10 = e4) % 82.83/12.35 | ~ (unit = e4)) & ( ~ (all_10_13 = e4) | ~ (unit = e4)) & ( ~ % 82.83/12.35 (all_10_16 = e4) | (all_10_1 = e3 & ~ (unit = e4))) & ( ~ (all_10_18 % 82.83/12.35 = e4) | (all_10_4 = e3 & ~ (unit = e4))) & ( ~ (all_10_21 = e4) | % 82.83/12.35 (all_10_7 = e3 & ~ (unit = e4))) & ( ~ (all_10_24 = e4) | (all_10_10 % 82.83/12.35 = e3 & ~ (unit = e4))) & ( ~ (all_10_27 = e4) | (all_10_13 = e3 & % 82.83/12.35 ~ (unit = e4))) & ( ~ (all_10_30 = e4) | (all_10_1 = e2 & ~ (unit % 82.83/12.35 = e4))) & ( ~ (all_10_33 = e4) | (all_10_4 = e2 & ~ (unit = % 82.83/12.35 e4))) & ( ~ (all_10_35 = e4) | (all_10_7 = e2 & ~ (unit = e4))) % 82.83/12.35 & ( ~ (all_10_38 = e4) | (all_10_10 = e2 & ~ (unit = e4))) & ( ~ % 82.83/12.35 (all_10_41 = e4) | (all_10_13 = e2 & ~ (unit = e4))) & ( ~ % 82.83/12.35 (all_10_44 = e4) | (all_10_1 = e1 & ~ (unit = e4))) & ( ~ (all_10_47 % 82.83/12.35 = e4) | (all_10_4 = e1 & ~ (unit = e4))) & ( ~ (all_10_50 = e4) | % 82.83/12.35 (all_10_7 = e1 & ~ (unit = e4))) & ( ~ (all_10_52 = e4) | (all_10_10 % 82.83/12.35 = e1 & ~ (unit = e4))) & ( ~ (all_10_55 = e4) | (all_10_13 = e1 & % 82.83/12.35 ~ (unit = e4))) & ( ~ (all_10_58 = e4) | (all_10_1 = e0 & ~ (unit % 82.83/12.35 = e4))) & ( ~ (all_10_61 = e4) | (all_10_4 = e0 & ~ (unit = % 82.83/12.35 e4))) & ( ~ (all_10_64 = e4) | (all_10_7 = e0 & ~ (unit = e4))) % 82.83/12.35 & ( ~ (all_10_67 = e4) | (all_10_10 = e0 & ~ (unit = e4))) & ( ~ % 82.83/12.35 (all_10_69 = e4) | (all_10_13 = e0 & ~ (unit = e4)))) | (( ~ % 82.83/12.35 (all_10_1 = e3) | (all_10_16 = e4 & ~ (unit = e3))) & ( ~ (all_10_4 % 82.83/12.35 = e3) | (all_10_18 = e4 & ~ (unit = e3))) & ( ~ (all_10_7 = e3) | % 82.83/12.35 (all_10_21 = e4 & ~ (unit = e3))) & ( ~ (all_10_10 = e3) | % 82.83/12.35 (all_10_24 = e4 & ~ (unit = e3))) & ( ~ (all_10_13 = e3) | % 82.83/12.35 (all_10_27 = e4 & ~ (unit = e3))) & ( ~ (all_10_16 = e3) | ~ (unit % 82.83/12.35 = e3)) & ( ~ (all_10_18 = e3) | ~ (unit = e3)) & ( ~ (all_10_21 = % 82.83/12.35 e3) | ~ (unit = e3)) & ( ~ (all_10_24 = e3) | ~ (unit = e3)) & ( % 82.83/12.35 ~ (all_10_27 = e3) | ~ (unit = e3)) & ( ~ (all_10_30 = e3) | % 82.83/12.35 (all_10_16 = e2 & ~ (unit = e3))) & ( ~ (all_10_33 = e3) | % 82.83/12.35 (all_10_18 = e2 & ~ (unit = e3))) & ( ~ (all_10_35 = e3) | % 82.83/12.35 (all_10_21 = e2 & ~ (unit = e3))) & ( ~ (all_10_38 = e3) | % 82.83/12.35 (all_10_24 = e2 & ~ (unit = e3))) & ( ~ (all_10_41 = e3) | % 82.83/12.35 (all_10_27 = e2 & ~ (unit = e3))) & ( ~ (all_10_44 = e3) | % 82.83/12.35 (all_10_16 = e1 & ~ (unit = e3))) & ( ~ (all_10_47 = e3) | % 82.83/12.35 (all_10_18 = e1 & ~ (unit = e3))) & ( ~ (all_10_50 = e3) | % 82.83/12.35 (all_10_21 = e1 & ~ (unit = e3))) & ( ~ (all_10_52 = e3) | % 82.83/12.35 (all_10_24 = e1 & ~ (unit = e3))) & ( ~ (all_10_55 = e3) | % 82.83/12.35 (all_10_27 = e1 & ~ (unit = e3))) & ( ~ (all_10_58 = e3) | % 82.83/12.35 (all_10_16 = e0 & ~ (unit = e3))) & ( ~ (all_10_61 = e3) | % 82.83/12.35 (all_10_18 = e0 & ~ (unit = e3))) & ( ~ (all_10_64 = e3) | % 82.83/12.35 (all_10_21 = e0 & ~ (unit = e3))) & ( ~ (all_10_67 = e3) | % 82.83/12.35 (all_10_24 = e0 & ~ (unit = e3))) & ( ~ (all_10_69 = e3) | % 82.83/12.35 (all_10_27 = e0 & ~ (unit = e3)))) | (( ~ (all_10_1 = e2) | % 82.83/12.35 (all_10_30 = e4 & ~ (unit = e2))) & ( ~ (all_10_4 = e2) | (all_10_33 % 82.83/12.35 = e4 & ~ (unit = e2))) & ( ~ (all_10_7 = e2) | (all_10_35 = e4 & % 82.83/12.35 ~ (unit = e2))) & ( ~ (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit % 82.83/12.35 = e2))) & ( ~ (all_10_13 = e2) | (all_10_41 = e4 & ~ (unit = % 82.83/12.35 e2))) & ( ~ (all_10_16 = e2) | (all_10_30 = e3 & ~ (unit = e2))) % 82.83/12.35 & ( ~ (all_10_18 = e2) | (all_10_33 = e3 & ~ (unit = e2))) & ( ~ % 82.83/12.35 (all_10_21 = e2) | (all_10_35 = e3 & ~ (unit = e2))) & ( ~ % 82.83/12.35 (all_10_24 = e2) | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 82.83/12.35 (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit = e2))) & ( ~ % 82.83/12.35 (all_10_30 = e2) | ~ (unit = e2)) & ( ~ (all_10_33 = e2) | ~ (unit % 82.83/12.35 = e2)) & ( ~ (all_10_35 = e2) | ~ (unit = e2)) & ( ~ (all_10_38 = % 82.83/12.35 e2) | ~ (unit = e2)) & ( ~ (all_10_41 = e2) | ~ (unit = e2)) & ( % 82.83/12.35 ~ (all_10_44 = e2) | (all_10_30 = e1 & ~ (unit = e2))) & ( ~ % 82.83/12.35 (all_10_47 = e2) | (all_10_33 = e1 & ~ (unit = e2))) & ( ~ % 82.83/12.35 (all_10_50 = e2) | (all_10_35 = e1 & ~ (unit = e2))) & ( ~ % 82.83/12.35 (all_10_52 = e2) | (all_10_38 = e1 & ~ (unit = e2))) & ( ~ % 82.83/12.35 (all_10_55 = e2) | (all_10_41 = e1 & ~ (unit = e2))) & ( ~ % 82.83/12.35 (all_10_58 = e2) | (all_10_30 = e0 & ~ (unit = e2))) & ( ~ % 82.83/12.35 (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit = e2))) & ( ~ % 82.83/12.35 (all_10_64 = e2) | (all_10_35 = e0 & ~ (unit = e2))) & ( ~ % 82.83/12.35 (all_10_67 = e2) | (all_10_38 = e0 & ~ (unit = e2))) & ( ~ % 82.83/12.35 (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit = e2)))) | (( ~ % 82.83/12.35 (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = e1))) & ( ~ (all_10_4 % 82.83/12.35 = e1) | (all_10_47 = e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) | % 82.83/12.35 (all_10_50 = e4 & ~ (unit = e1))) & ( ~ (all_10_10 = e1) | % 82.83/12.35 (all_10_52 = e4 & ~ (unit = e1))) & ( ~ (all_10_13 = e1) | % 82.83/12.35 (all_10_55 = e4 & ~ (unit = e1))) & ( ~ (all_10_16 = e1) | % 82.83/12.35 (all_10_44 = e3 & ~ (unit = e1))) & ( ~ (all_10_18 = e1) | % 82.83/12.35 (all_10_47 = e3 & ~ (unit = e1))) & ( ~ (all_10_21 = e1) | % 82.83/12.35 (all_10_50 = e3 & ~ (unit = e1))) & ( ~ (all_10_24 = e1) | % 82.83/12.35 (all_10_52 = e3 & ~ (unit = e1))) & ( ~ (all_10_27 = e1) | % 82.83/12.35 (all_10_55 = e3 & ~ (unit = e1))) & ( ~ (all_10_30 = e1) | % 82.83/12.35 (all_10_44 = e2 & ~ (unit = e1))) & ( ~ (all_10_33 = e1) | % 82.83/12.35 (all_10_47 = e2 & ~ (unit = e1))) & ( ~ (all_10_35 = e1) | % 82.83/12.35 (all_10_50 = e2 & ~ (unit = e1))) & ( ~ (all_10_38 = e1) | % 82.83/12.35 (all_10_52 = e2 & ~ (unit = e1))) & ( ~ (all_10_41 = e1) | % 82.83/12.35 (all_10_55 = e2 & ~ (unit = e1))) & ( ~ (all_10_44 = e1) | ~ (unit % 82.83/12.35 = e1)) & ( ~ (all_10_47 = e1) | ~ (unit = e1)) & ( ~ (all_10_50 = % 82.83/12.35 e1) | ~ (unit = e1)) & ( ~ (all_10_52 = e1) | ~ (unit = e1)) & ( % 82.83/12.35 ~ (all_10_55 = e1) | ~ (unit = e1)) & ( ~ (all_10_58 = e1) | % 82.83/12.35 (all_10_44 = e0 & ~ (unit = e1))) & ( ~ (all_10_61 = e1) | % 82.83/12.35 (all_10_47 = e0 & ~ (unit = e1))) & ( ~ (all_10_64 = e1) | % 82.83/12.35 (all_10_50 = e0 & ~ (unit = e1))) & ( ~ (all_10_67 = e1) | % 82.83/12.35 (all_10_52 = e0 & ~ (unit = e1))) & ( ~ (all_10_69 = e1) | % 82.83/12.35 (all_10_55 = e0 & ~ (unit = e1)))) | (( ~ (all_10_1 = e0) | % 82.83/12.35 (all_10_58 = e4 & ~ (unit = e0))) & ( ~ (all_10_4 = e0) | (all_10_61 % 82.83/12.35 = e4 & ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = e4 & % 82.83/12.35 ~ (unit = e0))) & ( ~ (all_10_10 = e0) | (all_10_67 = e4 & ~ (unit % 82.83/12.35 = e0))) & ( ~ (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit = % 82.83/12.35 e0))) & ( ~ (all_10_16 = e0) | (all_10_58 = e3 & ~ (unit = e0))) % 82.83/12.35 & ( ~ (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit = e0))) & ( ~ % 82.83/12.35 (all_10_21 = e0) | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 82.83/12.35 (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit = e0))) & ( ~ % 82.83/12.35 (all_10_27 = e0) | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 82.83/12.35 (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit = e0))) & ( ~ % 82.83/12.35 (all_10_33 = e0) | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 82.83/12.35 (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit = e0))) & ( ~ % 82.83/12.35 (all_10_38 = e0) | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ % 82.83/12.35 (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit = e0))) & ( ~ % 82.83/12.35 (all_10_44 = e0) | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 82.83/12.35 (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit = e0))) & ( ~ % 82.83/12.35 (all_10_50 = e0) | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 82.83/12.35 (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit = e0))) & ( ~ % 82.83/12.35 (all_10_55 = e0) | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ % 82.83/12.35 (all_10_58 = e0) | ~ (unit = e0)) & ( ~ (all_10_61 = e0) | ~ (unit % 82.83/12.35 = e0)) & ( ~ (all_10_64 = e0) | ~ (unit = e0)) & ( ~ (all_10_67 = % 82.83/12.35 e0) | ~ (unit = e0)) & ( ~ (all_10_69 = e0) | ~ (unit = e0))) % 82.83/12.35 (2) ~ (all_4_7 = e4) % 82.83/12.35 (3) ~ (e3 = e2) % 82.83/12.35 (4) all_10_4 = e1 % 82.83/12.35 (5) all_10_7 = e3 % 82.83/12.35 (6) all_10_35 = e4 % 82.83/12.35 (7) all_10_41 = all_4_14 % 82.83/12.35 (8) ~ (all_4_14 = e4) % 82.83/12.35 (9) ~ (all_4_16 = e4) % 82.83/12.35 (10) all_10_13 = e2 % 82.83/12.35 (11) all_10_47 = all_4_16 % 82.83/12.35 (12) all_10_1 = e0 % 82.83/12.35 (13) all_10_58 = all_4_20 % 82.83/12.35 (14) ~ (all_4_20 = e4) % 82.83/12.35 (15) all_10_21 = all_4_7 % 82.83/12.35 % 82.83/12.35 Begin of proof % 82.83/12.35 | % 82.83/12.35 | BETA: splitting (1) gives: % 82.83/12.35 | % 82.83/12.35 | Case 1: % 82.83/12.35 | | % 82.83/12.35 | | (16) (( ~ (all_10_1 = e4) | ~ (unit = e4)) & ( ~ (all_10_4 = e4) | ~ % 82.83/12.35 | | (unit = e4)) & ( ~ (all_10_7 = e4) | ~ (unit = e4)) & ( ~ % 82.83/12.35 | | (all_10_10 = e4) | ~ (unit = e4)) & ( ~ (all_10_13 = e4) | ~ % 82.83/12.35 | | (unit = e4)) & ( ~ (all_10_16 = e4) | (all_10_1 = e3 & ~ (unit % 82.83/12.35 | | = e4))) & ( ~ (all_10_18 = e4) | (all_10_4 = e3 & ~ (unit = % 82.83/12.35 | | e4))) & ( ~ (all_10_21 = e4) | (all_10_7 = e3 & ~ (unit = % 82.83/12.35 | | e4))) & ( ~ (all_10_24 = e4) | (all_10_10 = e3 & ~ (unit = % 82.83/12.35 | | e4))) & ( ~ (all_10_27 = e4) | (all_10_13 = e3 & ~ (unit = % 82.83/12.35 | | e4))) & ( ~ (all_10_30 = e4) | (all_10_1 = e2 & ~ (unit = % 82.83/12.35 | | e4))) & ( ~ (all_10_33 = e4) | (all_10_4 = e2 & ~ (unit = % 82.83/12.35 | | e4))) & ( ~ (all_10_35 = e4) | (all_10_7 = e2 & ~ (unit = % 82.83/12.35 | | e4))) & ( ~ (all_10_38 = e4) | (all_10_10 = e2 & ~ (unit = % 82.83/12.35 | | e4))) & ( ~ (all_10_41 = e4) | (all_10_13 = e2 & ~ (unit = % 82.83/12.35 | | e4))) & ( ~ (all_10_44 = e4) | (all_10_1 = e1 & ~ (unit = % 82.83/12.35 | | e4))) & ( ~ (all_10_47 = e4) | (all_10_4 = e1 & ~ (unit = % 82.83/12.35 | | e4))) & ( ~ (all_10_50 = e4) | (all_10_7 = e1 & ~ (unit = % 82.83/12.35 | | e4))) & ( ~ (all_10_52 = e4) | (all_10_10 = e1 & ~ (unit = % 82.83/12.35 | | e4))) & ( ~ (all_10_55 = e4) | (all_10_13 = e1 & ~ (unit = % 82.83/12.35 | | e4))) & ( ~ (all_10_58 = e4) | (all_10_1 = e0 & ~ (unit = % 82.83/12.35 | | e4))) & ( ~ (all_10_61 = e4) | (all_10_4 = e0 & ~ (unit = % 82.83/12.35 | | e4))) & ( ~ (all_10_64 = e4) | (all_10_7 = e0 & ~ (unit = % 82.83/12.35 | | e4))) & ( ~ (all_10_67 = e4) | (all_10_10 = e0 & ~ (unit = % 82.83/12.35 | | e4))) & ( ~ (all_10_69 = e4) | (all_10_13 = e0 & ~ (unit = % 82.83/12.35 | | e4)))) | (( ~ (all_10_1 = e3) | (all_10_16 = e4 & ~ (unit = % 82.83/12.35 | | e3))) & ( ~ (all_10_4 = e3) | (all_10_18 = e4 & ~ (unit = % 82.83/12.35 | | e3))) & ( ~ (all_10_7 = e3) | (all_10_21 = e4 & ~ (unit = % 82.83/12.35 | | e3))) & ( ~ (all_10_10 = e3) | (all_10_24 = e4 & ~ (unit = % 82.83/12.35 | | e3))) & ( ~ (all_10_13 = e3) | (all_10_27 = e4 & ~ (unit = % 82.83/12.35 | | e3))) & ( ~ (all_10_16 = e3) | ~ (unit = e3)) & ( ~ % 82.83/12.35 | | (all_10_18 = e3) | ~ (unit = e3)) & ( ~ (all_10_21 = e3) | ~ % 82.83/12.35 | | (unit = e3)) & ( ~ (all_10_24 = e3) | ~ (unit = e3)) & ( ~ % 82.83/12.35 | | (all_10_27 = e3) | ~ (unit = e3)) & ( ~ (all_10_30 = e3) | % 82.83/12.35 | | (all_10_16 = e2 & ~ (unit = e3))) & ( ~ (all_10_33 = e3) | % 82.83/12.35 | | (all_10_18 = e2 & ~ (unit = e3))) & ( ~ (all_10_35 = e3) | % 82.83/12.35 | | (all_10_21 = e2 & ~ (unit = e3))) & ( ~ (all_10_38 = e3) | % 82.83/12.35 | | (all_10_24 = e2 & ~ (unit = e3))) & ( ~ (all_10_41 = e3) | % 82.83/12.35 | | (all_10_27 = e2 & ~ (unit = e3))) & ( ~ (all_10_44 = e3) | % 82.83/12.35 | | (all_10_16 = e1 & ~ (unit = e3))) & ( ~ (all_10_47 = e3) | % 82.83/12.35 | | (all_10_18 = e1 & ~ (unit = e3))) & ( ~ (all_10_50 = e3) | % 82.83/12.35 | | (all_10_21 = e1 & ~ (unit = e3))) & ( ~ (all_10_52 = e3) | % 82.83/12.35 | | (all_10_24 = e1 & ~ (unit = e3))) & ( ~ (all_10_55 = e3) | % 82.83/12.35 | | (all_10_27 = e1 & ~ (unit = e3))) & ( ~ (all_10_58 = e3) | % 82.83/12.35 | | (all_10_16 = e0 & ~ (unit = e3))) & ( ~ (all_10_61 = e3) | % 82.83/12.35 | | (all_10_18 = e0 & ~ (unit = e3))) & ( ~ (all_10_64 = e3) | % 82.83/12.35 | | (all_10_21 = e0 & ~ (unit = e3))) & ( ~ (all_10_67 = e3) | % 82.83/12.35 | | (all_10_24 = e0 & ~ (unit = e3))) & ( ~ (all_10_69 = e3) | % 82.83/12.35 | | (all_10_27 = e0 & ~ (unit = e3)))) % 82.83/12.35 | | % 82.83/12.35 | | REF_CLOSE: (2), (3), (5), (6), (15), (16) are inconsistent by sub-proof % 82.83/12.35 | | #184. % 82.83/12.35 | | % 82.83/12.35 | Case 2: % 82.83/12.35 | | % 82.83/12.35 | | (17) (( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit = e2))) & ( ~ % 82.83/12.35 | | (all_10_4 = e2) | (all_10_33 = e4 & ~ (unit = e2))) & ( ~ % 82.83/12.35 | | (all_10_7 = e2) | (all_10_35 = e4 & ~ (unit = e2))) & ( ~ % 82.83/12.35 | | (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit = e2))) & ( ~ % 82.83/12.35 | | (all_10_13 = e2) | (all_10_41 = e4 & ~ (unit = e2))) & ( ~ % 82.83/12.35 | | (all_10_16 = e2) | (all_10_30 = e3 & ~ (unit = e2))) & ( ~ % 82.83/12.35 | | (all_10_18 = e2) | (all_10_33 = e3 & ~ (unit = e2))) & ( ~ % 82.83/12.35 | | (all_10_21 = e2) | (all_10_35 = e3 & ~ (unit = e2))) & ( ~ % 82.83/12.35 | | (all_10_24 = e2) | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 82.83/12.35 | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit = e2))) & ( ~ % 82.83/12.35 | | (all_10_30 = e2) | ~ (unit = e2)) & ( ~ (all_10_33 = e2) | ~ % 82.83/12.35 | | (unit = e2)) & ( ~ (all_10_35 = e2) | ~ (unit = e2)) & ( ~ % 82.83/12.35 | | (all_10_38 = e2) | ~ (unit = e2)) & ( ~ (all_10_41 = e2) | ~ % 82.83/12.35 | | (unit = e2)) & ( ~ (all_10_44 = e2) | (all_10_30 = e1 & ~ (unit % 82.83/12.35 | | = e2))) & ( ~ (all_10_47 = e2) | (all_10_33 = e1 & ~ (unit % 82.83/12.35 | | = e2))) & ( ~ (all_10_50 = e2) | (all_10_35 = e1 & ~ (unit % 82.83/12.35 | | = e2))) & ( ~ (all_10_52 = e2) | (all_10_38 = e1 & ~ (unit % 82.83/12.35 | | = e2))) & ( ~ (all_10_55 = e2) | (all_10_41 = e1 & ~ (unit % 82.83/12.35 | | = e2))) & ( ~ (all_10_58 = e2) | (all_10_30 = e0 & ~ (unit % 82.83/12.35 | | = e2))) & ( ~ (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit % 82.83/12.35 | | = e2))) & ( ~ (all_10_64 = e2) | (all_10_35 = e0 & ~ (unit % 82.83/12.35 | | = e2))) & ( ~ (all_10_67 = e2) | (all_10_38 = e0 & ~ (unit % 82.83/12.35 | | = e2))) & ( ~ (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit % 82.83/12.35 | | = e2)))) | (( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit % 82.83/12.35 | | = e1))) & ( ~ (all_10_4 = e1) | (all_10_47 = e4 & ~ (unit = % 82.83/12.35 | | e1))) & ( ~ (all_10_7 = e1) | (all_10_50 = e4 & ~ (unit = % 82.83/12.35 | | e1))) & ( ~ (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit = % 82.83/12.35 | | e1))) & ( ~ (all_10_13 = e1) | (all_10_55 = e4 & ~ (unit = % 82.83/12.35 | | e1))) & ( ~ (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit = % 82.83/12.35 | | e1))) & ( ~ (all_10_18 = e1) | (all_10_47 = e3 & ~ (unit = % 82.83/12.35 | | e1))) & ( ~ (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit = % 82.83/12.35 | | e1))) & ( ~ (all_10_24 = e1) | (all_10_52 = e3 & ~ (unit = % 82.83/12.35 | | e1))) & ( ~ (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = % 82.83/12.35 | | e1))) & ( ~ (all_10_30 = e1) | (all_10_44 = e2 & ~ (unit = % 82.83/12.35 | | e1))) & ( ~ (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit = % 82.83/12.35 | | e1))) & ( ~ (all_10_35 = e1) | (all_10_50 = e2 & ~ (unit = % 82.83/12.35 | | e1))) & ( ~ (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit = % 82.83/12.35 | | e1))) & ( ~ (all_10_41 = e1) | (all_10_55 = e2 & ~ (unit = % 82.83/12.35 | | e1))) & ( ~ (all_10_44 = e1) | ~ (unit = e1)) & ( ~ % 82.83/12.35 | | (all_10_47 = e1) | ~ (unit = e1)) & ( ~ (all_10_50 = e1) | ~ % 82.83/12.35 | | (unit = e1)) & ( ~ (all_10_52 = e1) | ~ (unit = e1)) & ( ~ % 82.83/12.35 | | (all_10_55 = e1) | ~ (unit = e1)) & ( ~ (all_10_58 = e1) | % 82.83/12.35 | | (all_10_44 = e0 & ~ (unit = e1))) & ( ~ (all_10_61 = e1) | % 82.83/12.35 | | (all_10_47 = e0 & ~ (unit = e1))) & ( ~ (all_10_64 = e1) | % 82.83/12.35 | | (all_10_50 = e0 & ~ (unit = e1))) & ( ~ (all_10_67 = e1) | % 82.83/12.35 | | (all_10_52 = e0 & ~ (unit = e1))) & ( ~ (all_10_69 = e1) | % 82.83/12.35 | | (all_10_55 = e0 & ~ (unit = e1)))) | (( ~ (all_10_1 = e0) | % 82.83/12.35 | | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ (all_10_4 = e0) | % 82.83/12.35 | | (all_10_61 = e4 & ~ (unit = e0))) & ( ~ (all_10_7 = e0) | % 82.83/12.35 | | (all_10_64 = e4 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) | % 82.83/12.35 | | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ (all_10_13 = e0) | % 82.83/12.35 | | (all_10_69 = e4 & ~ (unit = e0))) & ( ~ (all_10_16 = e0) | % 82.83/12.35 | | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ (all_10_18 = e0) | % 82.83/12.35 | | (all_10_61 = e3 & ~ (unit = e0))) & ( ~ (all_10_21 = e0) | % 82.83/12.35 | | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ (all_10_24 = e0) | % 82.83/12.35 | | (all_10_67 = e3 & ~ (unit = e0))) & ( ~ (all_10_27 = e0) | % 82.83/12.35 | | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ (all_10_30 = e0) | % 82.83/12.35 | | (all_10_58 = e2 & ~ (unit = e0))) & ( ~ (all_10_33 = e0) | % 82.83/12.35 | | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ (all_10_35 = e0) | % 82.83/12.35 | | (all_10_64 = e2 & ~ (unit = e0))) & ( ~ (all_10_38 = e0) | % 82.83/12.35 | | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ (all_10_41 = e0) | % 82.83/12.35 | | (all_10_69 = e2 & ~ (unit = e0))) & ( ~ (all_10_44 = e0) | % 82.83/12.35 | | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ (all_10_47 = e0) | % 82.83/12.35 | | (all_10_61 = e1 & ~ (unit = e0))) & ( ~ (all_10_50 = e0) | % 82.83/12.35 | | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ (all_10_52 = e0) | % 82.83/12.35 | | (all_10_67 = e1 & ~ (unit = e0))) & ( ~ (all_10_55 = e0) | % 82.83/12.35 | | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ (all_10_58 = e0) | ~ % 82.83/12.35 | | (unit = e0)) & ( ~ (all_10_61 = e0) | ~ (unit = e0)) & ( ~ % 82.83/12.35 | | (all_10_64 = e0) | ~ (unit = e0)) & ( ~ (all_10_67 = e0) | ~ % 82.83/12.35 | | (unit = e0)) & ( ~ (all_10_69 = e0) | ~ (unit = e0))) % 82.83/12.35 | | % 82.83/12.35 | | BETA: splitting (17) gives: % 82.83/12.35 | | % 82.83/12.35 | | Case 1: % 82.83/12.35 | | | % 82.83/12.35 | | | (18) ( ~ (all_10_1 = e2) | (all_10_30 = e4 & ~ (unit = e2))) & ( ~ % 82.83/12.35 | | | (all_10_4 = e2) | (all_10_33 = e4 & ~ (unit = e2))) & ( ~ % 82.83/12.35 | | | (all_10_7 = e2) | (all_10_35 = e4 & ~ (unit = e2))) & ( ~ % 82.83/12.35 | | | (all_10_10 = e2) | (all_10_38 = e4 & ~ (unit = e2))) & ( ~ % 82.83/12.35 | | | (all_10_13 = e2) | (all_10_41 = e4 & ~ (unit = e2))) & ( ~ % 82.83/12.35 | | | (all_10_16 = e2) | (all_10_30 = e3 & ~ (unit = e2))) & ( ~ % 82.83/12.35 | | | (all_10_18 = e2) | (all_10_33 = e3 & ~ (unit = e2))) & ( ~ % 82.83/12.35 | | | (all_10_21 = e2) | (all_10_35 = e3 & ~ (unit = e2))) & ( ~ % 82.83/12.35 | | | (all_10_24 = e2) | (all_10_38 = e3 & ~ (unit = e2))) & ( ~ % 82.83/12.35 | | | (all_10_27 = e2) | (all_10_41 = e3 & ~ (unit = e2))) & ( ~ % 82.83/12.35 | | | (all_10_30 = e2) | ~ (unit = e2)) & ( ~ (all_10_33 = e2) | ~ % 82.83/12.35 | | | (unit = e2)) & ( ~ (all_10_35 = e2) | ~ (unit = e2)) & ( ~ % 82.83/12.35 | | | (all_10_38 = e2) | ~ (unit = e2)) & ( ~ (all_10_41 = e2) | ~ % 82.83/12.35 | | | (unit = e2)) & ( ~ (all_10_44 = e2) | (all_10_30 = e1 & ~ (unit % 82.83/12.35 | | | = e2))) & ( ~ (all_10_47 = e2) | (all_10_33 = e1 & ~ (unit % 82.83/12.35 | | | = e2))) & ( ~ (all_10_50 = e2) | (all_10_35 = e1 & ~ (unit % 82.83/12.35 | | | = e2))) & ( ~ (all_10_52 = e2) | (all_10_38 = e1 & ~ (unit % 82.83/12.35 | | | = e2))) & ( ~ (all_10_55 = e2) | (all_10_41 = e1 & ~ (unit % 82.83/12.35 | | | = e2))) & ( ~ (all_10_58 = e2) | (all_10_30 = e0 & ~ (unit % 82.83/12.35 | | | = e2))) & ( ~ (all_10_61 = e2) | (all_10_33 = e0 & ~ (unit % 82.83/12.35 | | | = e2))) & ( ~ (all_10_64 = e2) | (all_10_35 = e0 & ~ (unit % 82.83/12.35 | | | = e2))) & ( ~ (all_10_67 = e2) | (all_10_38 = e0 & ~ (unit % 82.83/12.35 | | | = e2))) & ( ~ (all_10_69 = e2) | (all_10_41 = e0 & ~ (unit % 82.83/12.35 | | | = e2))) % 82.83/12.35 | | | % 82.83/12.35 | | | ALPHA: (18) implies: % 82.83/12.35 | | | (19) ~ (all_10_13 = e2) | (all_10_41 = e4 & ~ (unit = e2)) % 82.83/12.35 | | | % 82.83/12.35 | | | REF_CLOSE: (7), (8), (10), (19) are inconsistent by sub-proof #183. % 82.83/12.35 | | | % 82.83/12.35 | | Case 2: % 82.83/12.35 | | | % 82.83/12.36 | | | (20) (( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | | (all_10_4 = e1) | (all_10_47 = e4 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | | (all_10_7 = e1) | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | | (all_10_13 = e1) | (all_10_55 = e4 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | | (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | | (all_10_18 = e1) | (all_10_47 = e3 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | | (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | | (all_10_24 = e1) | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | | (all_10_30 = e1) | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | | (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | | (all_10_35 = e1) | (all_10_50 = e2 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | | (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | | (all_10_41 = e1) | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ (all_10_47 = e1) | ~ % 82.83/12.36 | | | (unit = e1)) & ( ~ (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 82.83/12.36 | | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ (all_10_55 = e1) | ~ % 82.83/12.36 | | | (unit = e1)) & ( ~ (all_10_58 = e1) | (all_10_44 = e0 & ~ % 82.83/12.36 | | | (unit = e1))) & ( ~ (all_10_61 = e1) | (all_10_47 = e0 & ~ % 82.83/12.36 | | | (unit = e1))) & ( ~ (all_10_64 = e1) | (all_10_50 = e0 & ~ % 82.83/12.36 | | | (unit = e1))) & ( ~ (all_10_67 = e1) | (all_10_52 = e0 & ~ % 82.83/12.36 | | | (unit = e1))) & ( ~ (all_10_69 = e1) | (all_10_55 = e0 & ~ % 82.83/12.36 | | | (unit = e1)))) | (( ~ (all_10_1 = e0) | (all_10_58 = e4 & ~ % 82.83/12.36 | | | (unit = e0))) & ( ~ (all_10_4 = e0) | (all_10_61 = e4 & ~ % 82.83/12.36 | | | (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = e4 & ~ % 82.83/12.36 | | | (unit = e0))) & ( ~ (all_10_10 = e0) | (all_10_67 = e4 & ~ % 82.83/12.36 | | | (unit = e0))) & ( ~ (all_10_13 = e0) | (all_10_69 = e4 & ~ % 82.83/12.36 | | | (unit = e0))) & ( ~ (all_10_16 = e0) | (all_10_58 = e3 & ~ % 82.83/12.36 | | | (unit = e0))) & ( ~ (all_10_18 = e0) | (all_10_61 = e3 & ~ % 82.83/12.36 | | | (unit = e0))) & ( ~ (all_10_21 = e0) | (all_10_64 = e3 & ~ % 82.83/12.36 | | | (unit = e0))) & ( ~ (all_10_24 = e0) | (all_10_67 = e3 & ~ % 82.83/12.36 | | | (unit = e0))) & ( ~ (all_10_27 = e0) | (all_10_69 = e3 & ~ % 82.83/12.36 | | | (unit = e0))) & ( ~ (all_10_30 = e0) | (all_10_58 = e2 & ~ % 82.83/12.36 | | | (unit = e0))) & ( ~ (all_10_33 = e0) | (all_10_61 = e2 & ~ % 82.83/12.36 | | | (unit = e0))) & ( ~ (all_10_35 = e0) | (all_10_64 = e2 & ~ % 82.83/12.36 | | | (unit = e0))) & ( ~ (all_10_38 = e0) | (all_10_67 = e2 & ~ % 82.83/12.36 | | | (unit = e0))) & ( ~ (all_10_41 = e0) | (all_10_69 = e2 & ~ % 82.83/12.36 | | | (unit = e0))) & ( ~ (all_10_44 = e0) | (all_10_58 = e1 & ~ % 82.83/12.36 | | | (unit = e0))) & ( ~ (all_10_47 = e0) | (all_10_61 = e1 & ~ % 82.83/12.36 | | | (unit = e0))) & ( ~ (all_10_50 = e0) | (all_10_64 = e1 & ~ % 82.83/12.36 | | | (unit = e0))) & ( ~ (all_10_52 = e0) | (all_10_67 = e1 & ~ % 82.83/12.36 | | | (unit = e0))) & ( ~ (all_10_55 = e0) | (all_10_69 = e1 & ~ % 82.83/12.36 | | | (unit = e0))) & ( ~ (all_10_58 = e0) | ~ (unit = e0)) & ( ~ % 82.83/12.36 | | | (all_10_61 = e0) | ~ (unit = e0)) & ( ~ (all_10_64 = e0) | ~ % 82.83/12.36 | | | (unit = e0)) & ( ~ (all_10_67 = e0) | ~ (unit = e0)) & ( ~ % 82.83/12.36 | | | (all_10_69 = e0) | ~ (unit = e0))) % 82.83/12.36 | | | % 82.83/12.36 | | | REF_CLOSE: (4), (9), (11), (12), (13), (14), (20) are inconsistent by % 82.83/12.36 | | | sub-proof #166. % 82.83/12.36 | | | % 82.83/12.36 | | End of split % 82.83/12.36 | | % 82.83/12.36 | End of split % 82.83/12.36 | % 82.83/12.36 End of proof % 82.83/12.36 % 82.83/12.36 Sub-proof #166 shows that the following formulas are inconsistent: % 82.83/12.36 ---------------------------------------------------------------- % 82.83/12.36 (1) all_10_4 = e1 % 82.83/12.36 (2) ~ (all_4_16 = e4) % 82.83/12.36 (3) all_10_47 = all_4_16 % 82.83/12.36 (4) all_10_1 = e0 % 82.83/12.36 (5) (( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = e1))) & ( ~ (all_10_4 % 82.83/12.36 = e1) | (all_10_47 = e4 & ~ (unit = e1))) & ( ~ (all_10_7 = e1) | % 82.83/12.36 (all_10_50 = e4 & ~ (unit = e1))) & ( ~ (all_10_10 = e1) | % 82.83/12.36 (all_10_52 = e4 & ~ (unit = e1))) & ( ~ (all_10_13 = e1) | % 82.83/12.36 (all_10_55 = e4 & ~ (unit = e1))) & ( ~ (all_10_16 = e1) | % 82.83/12.36 (all_10_44 = e3 & ~ (unit = e1))) & ( ~ (all_10_18 = e1) | % 82.83/12.36 (all_10_47 = e3 & ~ (unit = e1))) & ( ~ (all_10_21 = e1) | % 82.83/12.36 (all_10_50 = e3 & ~ (unit = e1))) & ( ~ (all_10_24 = e1) | % 82.83/12.36 (all_10_52 = e3 & ~ (unit = e1))) & ( ~ (all_10_27 = e1) | % 82.83/12.36 (all_10_55 = e3 & ~ (unit = e1))) & ( ~ (all_10_30 = e1) | % 82.83/12.36 (all_10_44 = e2 & ~ (unit = e1))) & ( ~ (all_10_33 = e1) | % 82.83/12.36 (all_10_47 = e2 & ~ (unit = e1))) & ( ~ (all_10_35 = e1) | % 82.83/12.36 (all_10_50 = e2 & ~ (unit = e1))) & ( ~ (all_10_38 = e1) | % 82.83/12.36 (all_10_52 = e2 & ~ (unit = e1))) & ( ~ (all_10_41 = e1) | % 82.83/12.36 (all_10_55 = e2 & ~ (unit = e1))) & ( ~ (all_10_44 = e1) | ~ (unit % 82.83/12.36 = e1)) & ( ~ (all_10_47 = e1) | ~ (unit = e1)) & ( ~ (all_10_50 = % 82.83/12.36 e1) | ~ (unit = e1)) & ( ~ (all_10_52 = e1) | ~ (unit = e1)) & ( % 82.83/12.36 ~ (all_10_55 = e1) | ~ (unit = e1)) & ( ~ (all_10_58 = e1) | % 82.83/12.36 (all_10_44 = e0 & ~ (unit = e1))) & ( ~ (all_10_61 = e1) | % 82.83/12.36 (all_10_47 = e0 & ~ (unit = e1))) & ( ~ (all_10_64 = e1) | % 82.83/12.36 (all_10_50 = e0 & ~ (unit = e1))) & ( ~ (all_10_67 = e1) | % 82.83/12.36 (all_10_52 = e0 & ~ (unit = e1))) & ( ~ (all_10_69 = e1) | % 82.83/12.36 (all_10_55 = e0 & ~ (unit = e1)))) | (( ~ (all_10_1 = e0) | % 82.83/12.36 (all_10_58 = e4 & ~ (unit = e0))) & ( ~ (all_10_4 = e0) | (all_10_61 % 82.83/12.36 = e4 & ~ (unit = e0))) & ( ~ (all_10_7 = e0) | (all_10_64 = e4 & % 82.83/12.36 ~ (unit = e0))) & ( ~ (all_10_10 = e0) | (all_10_67 = e4 & ~ (unit % 82.83/12.36 = e0))) & ( ~ (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit = % 82.83/12.36 e0))) & ( ~ (all_10_16 = e0) | (all_10_58 = e3 & ~ (unit = e0))) % 82.83/12.36 & ( ~ (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit = e0))) & ( ~ % 82.83/12.36 (all_10_21 = e0) | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 82.83/12.36 (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit = e0))) & ( ~ % 82.83/12.36 (all_10_27 = e0) | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 82.83/12.36 (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit = e0))) & ( ~ % 82.83/12.36 (all_10_33 = e0) | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 82.83/12.36 (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit = e0))) & ( ~ % 82.83/12.36 (all_10_38 = e0) | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ % 82.83/12.36 (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit = e0))) & ( ~ % 82.83/12.36 (all_10_44 = e0) | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 82.83/12.36 (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit = e0))) & ( ~ % 82.83/12.36 (all_10_50 = e0) | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 82.83/12.36 (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit = e0))) & ( ~ % 82.83/12.36 (all_10_55 = e0) | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ % 82.83/12.36 (all_10_58 = e0) | ~ (unit = e0)) & ( ~ (all_10_61 = e0) | ~ (unit % 82.83/12.36 = e0)) & ( ~ (all_10_64 = e0) | ~ (unit = e0)) & ( ~ (all_10_67 = % 82.83/12.36 e0) | ~ (unit = e0)) & ( ~ (all_10_69 = e0) | ~ (unit = e0))) % 82.83/12.36 (6) all_10_58 = all_4_20 % 82.83/12.36 (7) ~ (all_4_20 = e4) % 82.83/12.36 % 82.83/12.36 Begin of proof % 82.83/12.36 | % 82.83/12.36 | BETA: splitting (5) gives: % 82.83/12.36 | % 82.83/12.36 | Case 1: % 82.83/12.36 | | % 82.83/12.36 | | (8) ( ~ (all_10_1 = e1) | (all_10_44 = e4 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | (all_10_4 = e1) | (all_10_47 = e4 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | (all_10_7 = e1) | (all_10_50 = e4 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | (all_10_10 = e1) | (all_10_52 = e4 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | (all_10_13 = e1) | (all_10_55 = e4 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | (all_10_16 = e1) | (all_10_44 = e3 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | (all_10_18 = e1) | (all_10_47 = e3 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | (all_10_21 = e1) | (all_10_50 = e3 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | (all_10_24 = e1) | (all_10_52 = e3 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | (all_10_27 = e1) | (all_10_55 = e3 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | (all_10_30 = e1) | (all_10_44 = e2 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | (all_10_33 = e1) | (all_10_47 = e2 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | (all_10_35 = e1) | (all_10_50 = e2 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | (all_10_38 = e1) | (all_10_52 = e2 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | (all_10_41 = e1) | (all_10_55 = e2 & ~ (unit = e1))) & ( ~ % 82.83/12.36 | | (all_10_44 = e1) | ~ (unit = e1)) & ( ~ (all_10_47 = e1) | ~ % 82.83/12.36 | | (unit = e1)) & ( ~ (all_10_50 = e1) | ~ (unit = e1)) & ( ~ % 82.83/12.36 | | (all_10_52 = e1) | ~ (unit = e1)) & ( ~ (all_10_55 = e1) | ~ % 82.83/12.36 | | (unit = e1)) & ( ~ (all_10_58 = e1) | (all_10_44 = e0 & ~ (unit = % 82.83/12.36 | | e1))) & ( ~ (all_10_61 = e1) | (all_10_47 = e0 & ~ (unit = % 82.83/12.36 | | e1))) & ( ~ (all_10_64 = e1) | (all_10_50 = e0 & ~ (unit = % 82.83/12.36 | | e1))) & ( ~ (all_10_67 = e1) | (all_10_52 = e0 & ~ (unit = % 82.83/12.36 | | e1))) & ( ~ (all_10_69 = e1) | (all_10_55 = e0 & ~ (unit = % 82.83/12.36 | | e1))) % 82.83/12.36 | | % 82.83/12.36 | | ALPHA: (8) implies: % 82.83/12.36 | | (9) ~ (all_10_4 = e1) | (all_10_47 = e4 & ~ (unit = e1)) % 82.83/12.36 | | % 82.83/12.36 | | REF_CLOSE: (1), (2), (3), (9) are inconsistent by sub-proof #182. % 82.83/12.36 | | % 82.83/12.36 | Case 2: % 82.83/12.36 | | % 82.83/12.36 | | (10) ( ~ (all_10_1 = e0) | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ % 82.83/12.36 | | (all_10_4 = e0) | (all_10_61 = e4 & ~ (unit = e0))) & ( ~ % 82.83/12.36 | | (all_10_7 = e0) | (all_10_64 = e4 & ~ (unit = e0))) & ( ~ % 82.83/12.36 | | (all_10_10 = e0) | (all_10_67 = e4 & ~ (unit = e0))) & ( ~ % 82.83/12.36 | | (all_10_13 = e0) | (all_10_69 = e4 & ~ (unit = e0))) & ( ~ % 82.83/12.36 | | (all_10_16 = e0) | (all_10_58 = e3 & ~ (unit = e0))) & ( ~ % 82.83/12.36 | | (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit = e0))) & ( ~ % 82.83/12.36 | | (all_10_21 = e0) | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 82.83/12.36 | | (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit = e0))) & ( ~ % 82.83/12.36 | | (all_10_27 = e0) | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ % 82.83/12.36 | | (all_10_30 = e0) | (all_10_58 = e2 & ~ (unit = e0))) & ( ~ % 82.83/12.36 | | (all_10_33 = e0) | (all_10_61 = e2 & ~ (unit = e0))) & ( ~ % 82.83/12.36 | | (all_10_35 = e0) | (all_10_64 = e2 & ~ (unit = e0))) & ( ~ % 82.83/12.36 | | (all_10_38 = e0) | (all_10_67 = e2 & ~ (unit = e0))) & ( ~ % 82.83/12.36 | | (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit = e0))) & ( ~ % 82.83/12.36 | | (all_10_44 = e0) | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 82.83/12.36 | | (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit = e0))) & ( ~ % 82.83/12.36 | | (all_10_50 = e0) | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ % 82.83/12.36 | | (all_10_52 = e0) | (all_10_67 = e1 & ~ (unit = e0))) & ( ~ % 82.83/12.36 | | (all_10_55 = e0) | (all_10_69 = e1 & ~ (unit = e0))) & ( ~ % 82.83/12.36 | | (all_10_58 = e0) | ~ (unit = e0)) & ( ~ (all_10_61 = e0) | ~ % 82.83/12.36 | | (unit = e0)) & ( ~ (all_10_64 = e0) | ~ (unit = e0)) & ( ~ % 82.83/12.36 | | (all_10_67 = e0) | ~ (unit = e0)) & ( ~ (all_10_69 = e0) | ~ % 82.83/12.36 | | (unit = e0)) % 82.83/12.36 | | % 82.83/12.36 | | REF_CLOSE: (4), (6), (7), (10) are inconsistent by sub-proof #167. % 82.83/12.36 | | % 82.83/12.36 | End of split % 82.83/12.36 | % 82.83/12.36 End of proof % 82.83/12.36 % 82.83/12.36 Sub-proof #167 shows that the following formulas are inconsistent: % 82.83/12.36 ---------------------------------------------------------------- % 82.83/12.36 (1) ( ~ (all_10_1 = e0) | (all_10_58 = e4 & ~ (unit = e0))) & ( ~ (all_10_4 % 82.83/12.36 = e0) | (all_10_61 = e4 & ~ (unit = e0))) & ( ~ (all_10_7 = e0) | % 82.83/12.36 (all_10_64 = e4 & ~ (unit = e0))) & ( ~ (all_10_10 = e0) | (all_10_67 % 82.83/12.36 = e4 & ~ (unit = e0))) & ( ~ (all_10_13 = e0) | (all_10_69 = e4 & ~ % 82.83/12.36 (unit = e0))) & ( ~ (all_10_16 = e0) | (all_10_58 = e3 & ~ (unit = % 82.83/12.36 e0))) & ( ~ (all_10_18 = e0) | (all_10_61 = e3 & ~ (unit = e0))) & % 82.83/12.36 ( ~ (all_10_21 = e0) | (all_10_64 = e3 & ~ (unit = e0))) & ( ~ % 82.83/12.36 (all_10_24 = e0) | (all_10_67 = e3 & ~ (unit = e0))) & ( ~ (all_10_27 % 82.83/12.36 = e0) | (all_10_69 = e3 & ~ (unit = e0))) & ( ~ (all_10_30 = e0) | % 82.83/12.36 (all_10_58 = e2 & ~ (unit = e0))) & ( ~ (all_10_33 = e0) | (all_10_61 % 82.83/12.36 = e2 & ~ (unit = e0))) & ( ~ (all_10_35 = e0) | (all_10_64 = e2 & ~ % 82.83/12.36 (unit = e0))) & ( ~ (all_10_38 = e0) | (all_10_67 = e2 & ~ (unit = % 82.83/12.36 e0))) & ( ~ (all_10_41 = e0) | (all_10_69 = e2 & ~ (unit = e0))) & % 82.83/12.36 ( ~ (all_10_44 = e0) | (all_10_58 = e1 & ~ (unit = e0))) & ( ~ % 82.83/12.36 (all_10_47 = e0) | (all_10_61 = e1 & ~ (unit = e0))) & ( ~ (all_10_50 % 82.83/12.36 = e0) | (all_10_64 = e1 & ~ (unit = e0))) & ( ~ (all_10_52 = e0) | % 82.83/12.36 (all_10_67 = e1 & ~ (unit = e0))) & ( ~ (all_10_55 = e0) | (all_10_69 % 82.83/12.36 = e1 & ~ (unit = e0))) & ( ~ (all_10_58 = e0) | ~ (unit = e0)) & ( % 82.83/12.36 ~ (all_10_61 = e0) | ~ (unit = e0)) & ( ~ (all_10_64 = e0) | ~ (unit % 82.83/12.36 = e0)) & ( ~ (all_10_67 = e0) | ~ (unit = e0)) & ( ~ (all_10_69 = % 82.83/12.36 e0) | ~ (unit = e0)) % 82.83/12.36 (2) all_10_1 = e0 % 82.83/12.36 (3) all_10_58 = all_4_20 % 82.83/12.36 (4) ~ (all_4_20 = e4) % 82.83/12.36 % 82.83/12.36 Begin of proof % 82.83/12.36 | % 82.83/12.36 | ALPHA: (1) implies: % 82.83/12.36 | (5) ~ (all_10_1 = e0) | (all_10_58 = e4 & ~ (unit = e0)) % 82.83/12.36 | % 82.83/12.36 | BETA: splitting (5) gives: % 82.83/12.36 | % 82.83/12.36 | Case 1: % 82.83/12.36 | | % 82.83/12.36 | | (6) ~ (all_10_1 = e0) % 82.83/12.36 | | % 82.83/12.36 | | REDUCE: (2), (6) imply: % 82.83/12.36 | | (7) $false % 82.83/12.36 | | % 82.83/12.36 | | CLOSE: (7) is inconsistent. % 82.83/12.36 | | % 82.83/12.36 | Case 2: % 82.83/12.36 | | % 82.83/12.36 | | (8) all_10_58 = e4 & ~ (unit = e0) % 82.83/12.36 | | % 82.83/12.36 | | ALPHA: (8) implies: % 82.83/12.36 | | (9) all_10_58 = e4 % 82.83/12.36 | | % 82.83/12.36 | | COMBINE_EQS: (3), (9) imply: % 82.83/12.36 | | (10) all_4_20 = e4 % 82.83/12.36 | | % 82.83/12.36 | | SIMP: (10) implies: % 82.83/12.36 | | (11) all_4_20 = e4 % 82.83/12.36 | | % 82.83/12.36 | | REDUCE: (4), (11) imply: % 82.83/12.36 | | (12) $false % 82.83/12.36 | | % 82.83/12.36 | | CLOSE: (12) is inconsistent. % 82.83/12.36 | | % 82.83/12.36 | End of split % 82.83/12.36 | % 82.83/12.36 End of proof % 82.83/12.36 % 82.83/12.36 Sub-proof #168 shows that the following formulas are inconsistent: % 82.83/12.36 ---------------------------------------------------------------- % 82.83/12.36 (1) all_6_2 = all_4_10 % 82.83/12.36 (2) all_6_2 = e4 % 82.83/12.36 (3) ~ (all_4_10 = e4) % 82.83/12.36 % 82.83/12.36 Begin of proof % 82.83/12.36 | % 82.83/12.36 | COMBINE_EQS: (1), (2) imply: % 82.83/12.36 | (4) all_4_10 = e4 % 82.83/12.36 | % 82.83/12.36 | SIMP: (4) implies: % 82.83/12.36 | (5) all_4_10 = e4 % 82.83/12.36 | % 82.83/12.36 | REDUCE: (3), (5) imply: % 82.83/12.36 | (6) $false % 82.83/12.36 | % 82.83/12.36 | CLOSE: (6) is inconsistent. % 82.83/12.36 | % 82.83/12.36 End of proof % 82.83/12.36 % 82.83/12.36 Sub-proof #169 shows that the following formulas are inconsistent: % 82.83/12.36 ---------------------------------------------------------------- % 82.83/12.36 (1) all_6_11 = all_4_7 % 82.83/12.36 (2) all_6_11 = e4 % 82.83/12.36 (3) ~ (all_4_7 = e4) % 82.83/12.36 % 82.83/12.36 Begin of proof % 82.83/12.36 | % 82.83/12.36 | COMBINE_EQS: (1), (2) imply: % 82.83/12.36 | (4) all_4_7 = e4 % 82.83/12.36 | % 82.83/12.36 | SIMP: (4) implies: % 82.83/12.36 | (5) all_4_7 = e4 % 82.83/12.36 | % 82.83/12.36 | REDUCE: (3), (5) imply: % 82.83/12.36 | (6) $false % 82.83/12.36 | % 82.83/12.36 | CLOSE: (6) is inconsistent. % 82.83/12.36 | % 82.83/12.36 End of proof % 82.83/12.36 % 82.83/12.36 Sub-proof #170 shows that the following formulas are inconsistent: % 82.83/12.36 ---------------------------------------------------------------- % 82.83/12.36 (1) all_10_61 = e1 & ~ (unit = e0) % 82.83/12.36 (2) all_10_61 = all_4_21 % 82.83/12.36 (3) ~ (all_4_21 = e1) % 82.83/12.36 % 82.83/12.36 Begin of proof % 82.83/12.36 | % 82.83/12.36 | ALPHA: (1) implies: % 82.83/12.36 | (4) all_10_61 = e1 % 82.83/12.36 | % 82.83/12.36 | COMBINE_EQS: (2), (4) imply: % 82.83/12.36 | (5) all_4_21 = e1 % 82.83/12.36 | % 82.83/12.36 | SIMP: (5) implies: % 82.83/12.36 | (6) all_4_21 = e1 % 82.83/12.36 | % 82.83/12.36 | REDUCE: (3), (6) imply: % 82.83/12.36 | (7) $false % 82.83/12.36 | % 82.83/12.36 | CLOSE: (7) is inconsistent. % 82.83/12.36 | % 82.83/12.36 End of proof % 82.83/12.36 % 82.83/12.36 Sub-proof #171 shows that the following formulas are inconsistent: % 82.83/12.36 ---------------------------------------------------------------- % 82.83/12.36 (1) ~ (all_4_16 = e1) % 82.83/12.36 (2) ~ (all_4_16 = e3) % 82.83/12.36 (3) all_6_8 = all_4_16 % 82.83/12.36 (4) all_6_8 = e3 | all_6_8 = e1 | all_6_8 = e0 % 82.83/12.36 (5) ~ (all_4_16 = e0) % 82.83/12.36 % 82.83/12.36 Begin of proof % 82.83/12.36 | % 82.83/12.36 | BETA: splitting (4) gives: % 82.83/12.36 | % 82.83/12.36 | Case 1: % 82.83/12.36 | | % 82.83/12.36 | | (6) all_6_8 = e3 % 82.83/12.36 | | % 82.83/12.36 | | COMBINE_EQS: (3), (6) imply: % 82.83/12.36 | | (7) all_4_16 = e3 % 82.83/12.36 | | % 82.83/12.36 | | SIMP: (7) implies: % 82.83/12.36 | | (8) all_4_16 = e3 % 82.83/12.36 | | % 82.83/12.36 | | REDUCE: (2), (8) imply: % 82.83/12.36 | | (9) $false % 82.83/12.36 | | % 82.83/12.36 | | CLOSE: (9) is inconsistent. % 82.83/12.36 | | % 82.83/12.36 | Case 2: % 82.83/12.36 | | % 82.83/12.36 | | (10) all_6_8 = e1 | all_6_8 = e0 % 82.83/12.36 | | % 82.83/12.36 | | REF_CLOSE: (1), (3), (5), (10) are inconsistent by sub-proof #172. % 82.83/12.36 | | % 82.83/12.36 | End of split % 82.83/12.36 | % 82.83/12.36 End of proof % 82.83/12.36 % 82.83/12.36 Sub-proof #172 shows that the following formulas are inconsistent: % 82.83/12.36 ---------------------------------------------------------------- % 82.83/12.36 (1) all_6_8 = e1 | all_6_8 = e0 % 82.83/12.36 (2) all_6_8 = all_4_16 % 82.83/12.36 (3) ~ (all_4_16 = e1) % 82.83/12.36 (4) ~ (all_4_16 = e0) % 82.83/12.36 % 82.83/12.36 Begin of proof % 82.83/12.36 | % 82.83/12.36 | BETA: splitting (1) gives: % 82.83/12.36 | % 82.83/12.36 | Case 1: % 82.83/12.36 | | % 82.83/12.36 | | (5) all_6_8 = e1 % 82.83/12.36 | | % 82.83/12.36 | | COMBINE_EQS: (2), (5) imply: % 82.83/12.36 | | (6) all_4_16 = e1 % 82.83/12.36 | | % 82.83/12.36 | | SIMP: (6) implies: % 82.83/12.36 | | (7) all_4_16 = e1 % 82.83/12.36 | | % 82.83/12.36 | | REDUCE: (3), (7) imply: % 82.83/12.36 | | (8) $false % 82.83/12.36 | | % 82.83/12.36 | | CLOSE: (8) is inconsistent. % 82.83/12.36 | | % 82.83/12.36 | Case 2: % 82.83/12.36 | | % 82.83/12.36 | | (9) all_6_8 = e0 % 82.83/12.36 | | % 82.83/12.36 | | COMBINE_EQS: (2), (9) imply: % 82.83/12.36 | | (10) all_4_16 = e0 % 82.83/12.36 | | % 82.83/12.36 | | SIMP: (10) implies: % 82.83/12.36 | | (11) all_4_16 = e0 % 82.83/12.36 | | % 82.83/12.36 | | REDUCE: (4), (11) imply: % 82.83/12.36 | | (12) $false % 82.83/12.36 | | % 82.83/12.36 | | CLOSE: (12) is inconsistent. % 82.83/12.36 | | % 82.83/12.36 | End of split % 82.83/12.36 | % 82.83/12.36 End of proof % 82.83/12.36 % 82.83/12.36 Sub-proof #173 shows that the following formulas are inconsistent: % 82.83/12.36 ---------------------------------------------------------------- % 82.83/12.36 (1) all_8_17 = all_4_21 % 82.83/12.36 (2) all_8_17 = e0 % 82.83/12.36 (3) ~ (all_4_21 = e0) % 82.83/12.36 % 82.83/12.36 Begin of proof % 82.83/12.36 | % 82.83/12.36 | COMBINE_EQS: (1), (2) imply: % 82.83/12.36 | (4) all_4_21 = e0 % 82.83/12.36 | % 82.83/12.36 | SIMP: (4) implies: % 82.83/12.36 | (5) all_4_21 = e0 % 82.83/12.36 | % 82.83/12.36 | REDUCE: (3), (5) imply: % 82.83/12.36 | (6) $false % 82.83/12.36 | % 82.83/12.36 | CLOSE: (6) is inconsistent. % 82.83/12.36 | % 82.83/12.36 End of proof % 82.83/12.36 % 82.83/12.36 Sub-proof #174 shows that the following formulas are inconsistent: % 82.83/12.36 ---------------------------------------------------------------- % 82.83/12.36 (1) ~ (all_10_33 = e0) | (all_10_61 = e2 & ~ (unit = e0)) % 82.83/12.36 (2) all_10_33 = e0 % 82.83/12.36 (3) all_10_61 = all_4_21 % 82.83/12.36 (4) ~ (all_4_21 = e2) % 82.83/12.36 % 82.83/12.36 Begin of proof % 82.83/12.36 | % 82.83/12.36 | BETA: splitting (1) gives: % 82.83/12.36 | % 82.83/12.36 | Case 1: % 82.83/12.36 | | % 82.83/12.36 | | (5) ~ (all_10_33 = e0) % 82.83/12.36 | | % 82.83/12.36 | | REDUCE: (2), (5) imply: % 82.83/12.36 | | (6) $false % 82.83/12.36 | | % 82.83/12.36 | | CLOSE: (6) is inconsistent. % 82.83/12.36 | | % 82.83/12.36 | Case 2: % 82.83/12.36 | | % 82.83/12.36 | | (7) all_10_61 = e2 & ~ (unit = e0) % 82.83/12.36 | | % 82.83/12.36 | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #175. % 82.83/12.36 | | % 82.83/12.36 | End of split % 82.83/12.36 | % 82.83/12.36 End of proof % 82.83/12.36 % 82.83/12.36 Sub-proof #175 shows that the following formulas are inconsistent: % 82.83/12.36 ---------------------------------------------------------------- % 82.83/12.36 (1) all_10_61 = e2 & ~ (unit = e0) % 82.83/12.36 (2) all_10_61 = all_4_21 % 82.83/12.36 (3) ~ (all_4_21 = e2) % 82.83/12.36 % 82.83/12.36 Begin of proof % 82.83/12.36 | % 82.83/12.36 | ALPHA: (1) implies: % 82.83/12.36 | (4) all_10_61 = e2 % 82.83/12.36 | % 82.83/12.36 | COMBINE_EQS: (2), (4) imply: % 82.83/12.36 | (5) all_4_21 = e2 % 82.83/12.36 | % 82.83/12.36 | SIMP: (5) implies: % 82.83/12.36 | (6) all_4_21 = e2 % 82.83/12.36 | % 82.83/12.36 | REDUCE: (3), (6) imply: % 82.83/12.36 | (7) $false % 82.83/12.36 | % 82.83/12.36 | CLOSE: (7) is inconsistent. % 82.83/12.36 | % 82.83/12.36 End of proof % 82.83/12.36 % 82.83/12.36 Sub-proof #176 shows that the following formulas are inconsistent: % 82.83/12.36 ---------------------------------------------------------------- % 82.83/12.36 (1) ~ (all_4_21 = e4) % 82.83/12.36 (2) all_8_5 = e4 | all_8_10 = e4 | all_8_17 = e4 % 82.83/12.36 (3) all_8_10 = all_4_16 % 82.83/12.36 (4) ~ (all_4_16 = e4) % 82.83/12.36 (5) all_8_17 = all_4_21 % 82.83/12.36 (6) ~ (all_4_11 = e4) % 82.83/12.36 (7) all_8_5 = all_4_11 % 82.83/12.36 % 82.83/12.36 Begin of proof % 82.83/12.36 | % 82.83/12.36 | BETA: splitting (2) gives: % 82.83/12.36 | % 82.83/12.36 | Case 1: % 82.83/12.36 | | % 82.83/12.36 | | (8) all_8_5 = e4 % 82.83/12.36 | | % 82.83/12.36 | | REF_CLOSE: (6), (7), (8) are inconsistent by sub-proof #179. % 82.83/12.36 | | % 82.83/12.36 | Case 2: % 82.83/12.36 | | % 82.83/12.36 | | (9) all_8_10 = e4 | all_8_17 = e4 % 82.83/12.36 | | % 82.83/12.36 | | BETA: splitting (9) gives: % 82.83/12.36 | | % 82.83/12.36 | | Case 1: % 82.83/12.36 | | | % 82.83/12.36 | | | (10) all_8_10 = e4 % 82.83/12.36 | | | % 82.83/12.36 | | | REF_CLOSE: (3), (4), (10) are inconsistent by sub-proof #178. % 82.83/12.36 | | | % 82.83/12.36 | | Case 2: % 82.83/12.36 | | | % 82.83/12.36 | | | (11) all_8_17 = e4 % 82.83/12.36 | | | % 82.83/12.36 | | | REF_CLOSE: (1), (5), (11) are inconsistent by sub-proof #177. % 82.83/12.36 | | | % 82.83/12.36 | | End of split % 82.83/12.36 | | % 82.83/12.36 | End of split % 82.83/12.36 | % 82.83/12.36 End of proof % 82.83/12.36 % 82.83/12.36 Sub-proof #177 shows that the following formulas are inconsistent: % 82.83/12.36 ---------------------------------------------------------------- % 82.83/12.36 (1) all_8_17 = all_4_21 % 82.83/12.36 (2) all_8_17 = e4 % 82.83/12.36 (3) ~ (all_4_21 = e4) % 82.83/12.36 % 82.83/12.36 Begin of proof % 82.83/12.36 | % 82.83/12.36 | COMBINE_EQS: (1), (2) imply: % 82.83/12.36 | (4) all_4_21 = e4 % 82.83/12.36 | % 82.83/12.36 | SIMP: (4) implies: % 82.83/12.36 | (5) all_4_21 = e4 % 82.83/12.36 | % 82.83/12.36 | REDUCE: (3), (5) imply: % 82.83/12.36 | (6) $false % 82.83/12.36 | % 82.83/12.36 | CLOSE: (6) is inconsistent. % 82.83/12.36 | % 82.83/12.36 End of proof % 82.83/12.36 % 82.83/12.36 Sub-proof #178 shows that the following formulas are inconsistent: % 82.83/12.36 ---------------------------------------------------------------- % 82.83/12.36 (1) all_8_10 = all_4_16 % 82.83/12.36 (2) all_8_10 = e4 % 82.83/12.36 (3) ~ (all_4_16 = e4) % 82.83/12.36 % 82.83/12.36 Begin of proof % 82.83/12.36 | % 82.83/12.36 | COMBINE_EQS: (1), (2) imply: % 82.83/12.36 | (4) all_4_16 = e4 % 82.83/12.36 | % 82.83/12.36 | SIMP: (4) implies: % 82.83/12.36 | (5) all_4_16 = e4 % 82.83/12.36 | % 82.83/12.36 | REDUCE: (3), (5) imply: % 82.83/12.36 | (6) $false % 82.83/12.36 | % 82.83/12.36 | CLOSE: (6) is inconsistent. % 82.83/12.36 | % 82.83/12.36 End of proof % 82.83/12.36 % 82.83/12.36 Sub-proof #179 shows that the following formulas are inconsistent: % 82.83/12.36 ---------------------------------------------------------------- % 82.83/12.36 (1) all_8_5 = all_4_11 % 82.83/12.36 (2) all_8_5 = e4 % 82.83/12.36 (3) ~ (all_4_11 = e4) % 82.83/12.36 % 82.83/12.36 Begin of proof % 82.83/12.36 | % 82.83/12.36 | COMBINE_EQS: (1), (2) imply: % 82.83/12.36 | (4) all_4_11 = e4 % 82.83/12.36 | % 82.83/12.36 | SIMP: (4) implies: % 82.83/12.36 | (5) all_4_11 = e4 % 82.83/12.36 | % 82.83/12.36 | REDUCE: (3), (5) imply: % 82.83/12.36 | (6) $false % 82.83/12.36 | % 82.83/12.36 | CLOSE: (6) is inconsistent. % 82.83/12.36 | % 82.83/12.36 End of proof % 82.83/12.36 % 82.83/12.36 Sub-proof #180 shows that the following formulas are inconsistent: % 82.83/12.36 ---------------------------------------------------------------- % 82.83/12.36 (1) all_8_3 = e4 % 82.83/12.36 (2) all_8_3 = e0 % 82.83/12.36 (3) ~ (e4 = e0) % 82.83/12.36 % 82.83/12.36 Begin of proof % 82.83/12.36 | % 82.83/12.36 | COMBINE_EQS: (1), (2) imply: % 82.83/12.36 | (4) e4 = e0 % 82.83/12.36 | % 82.83/12.36 | SIMP: (4) implies: % 82.83/12.36 | (5) e4 = e0 % 82.83/12.36 | % 82.83/12.36 | REDUCE: (3), (5) imply: % 82.83/12.36 | (6) $false % 82.83/12.36 | % 82.83/12.36 | CLOSE: (6) is inconsistent. % 82.83/12.36 | % 82.83/12.36 End of proof % 82.83/12.36 % 82.83/12.36 Sub-proof #181 shows that the following formulas are inconsistent: % 82.83/12.36 ---------------------------------------------------------------- % 82.83/12.36 (1) all_8_2 = e4 % 82.83/12.36 (2) all_8_2 = e1 % 82.83/12.36 (3) ~ (e4 = e1) % 82.83/12.36 % 82.83/12.36 Begin of proof % 82.83/12.36 | % 82.83/12.36 | COMBINE_EQS: (1), (2) imply: % 82.83/12.36 | (4) e4 = e1 % 82.83/12.36 | % 82.83/12.36 | SIMP: (4) implies: % 82.83/12.36 | (5) e4 = e1 % 82.83/12.36 | % 82.83/12.36 | REDUCE: (3), (5) imply: % 82.83/12.36 | (6) $false % 82.83/12.36 | % 82.83/12.36 | CLOSE: (6) is inconsistent. % 82.83/12.36 | % 82.83/12.36 End of proof % 82.83/12.36 % 82.83/12.36 Sub-proof #182 shows that the following formulas are inconsistent: % 82.83/12.36 ---------------------------------------------------------------- % 82.83/12.36 (1) ~ (all_10_4 = e1) | (all_10_47 = e4 & ~ (unit = e1)) % 82.83/12.36 (2) all_10_4 = e1 % 82.83/12.36 (3) all_10_47 = all_4_16 % 82.83/12.36 (4) ~ (all_4_16 = e4) % 82.83/12.36 % 82.83/12.36 Begin of proof % 82.83/12.36 | % 82.83/12.36 | BETA: splitting (1) gives: % 82.83/12.36 | % 82.83/12.36 | Case 1: % 82.83/12.36 | | % 82.83/12.36 | | (5) ~ (all_10_4 = e1) % 82.83/12.36 | | % 82.83/12.36 | | REDUCE: (2), (5) imply: % 82.83/12.36 | | (6) $false % 82.83/12.36 | | % 82.83/12.36 | | CLOSE: (6) is inconsistent. % 82.83/12.36 | | % 82.83/12.36 | Case 2: % 82.83/12.36 | | % 82.83/12.36 | | (7) all_10_47 = e4 & ~ (unit = e1) % 82.83/12.36 | | % 82.83/12.36 | | ALPHA: (7) implies: % 82.83/12.36 | | (8) all_10_47 = e4 % 82.83/12.36 | | % 82.83/12.36 | | COMBINE_EQS: (3), (8) imply: % 82.83/12.36 | | (9) all_4_16 = e4 % 82.83/12.36 | | % 82.83/12.36 | | SIMP: (9) implies: % 82.83/12.36 | | (10) all_4_16 = e4 % 82.83/12.36 | | % 82.83/12.36 | | REDUCE: (4), (10) imply: % 82.83/12.36 | | (11) $false % 82.83/12.36 | | % 82.83/12.36 | | CLOSE: (11) is inconsistent. % 82.83/12.36 | | % 82.83/12.36 | End of split % 82.83/12.36 | % 82.83/12.36 End of proof % 82.83/12.36 % 82.83/12.36 Sub-proof #183 shows that the following formulas are inconsistent: % 82.83/12.36 ---------------------------------------------------------------- % 82.83/12.36 (1) ~ (all_10_13 = e2) | (all_10_41 = e4 & ~ (unit = e2)) % 82.83/12.36 (2) all_10_13 = e2 % 82.83/12.36 (3) all_10_41 = all_4_14 % 82.83/12.36 (4) ~ (all_4_14 = e4) % 82.83/12.36 % 82.83/12.36 Begin of proof % 82.83/12.36 | % 82.83/12.36 | BETA: splitting (1) gives: % 82.83/12.36 | % 82.83/12.36 | Case 1: % 82.83/12.36 | | % 82.83/12.36 | | (5) ~ (all_10_13 = e2) % 82.83/12.36 | | % 82.83/12.36 | | REDUCE: (2), (5) imply: % 82.83/12.36 | | (6) $false % 82.83/12.36 | | % 82.83/12.36 | | CLOSE: (6) is inconsistent. % 82.83/12.36 | | % 82.83/12.36 | Case 2: % 82.83/12.36 | | % 82.83/12.36 | | (7) all_10_41 = e4 & ~ (unit = e2) % 82.83/12.36 | | % 82.83/12.36 | | ALPHA: (7) implies: % 82.83/12.36 | | (8) all_10_41 = e4 % 82.83/12.36 | | % 82.83/12.36 | | COMBINE_EQS: (3), (8) imply: % 82.83/12.36 | | (9) all_4_14 = e4 % 82.83/12.36 | | % 82.83/12.36 | | SIMP: (9) implies: % 82.83/12.36 | | (10) all_4_14 = e4 % 82.83/12.36 | | % 82.83/12.36 | | REDUCE: (4), (10) imply: % 82.83/12.36 | | (11) $false % 82.83/12.36 | | % 82.83/12.36 | | CLOSE: (11) is inconsistent. % 82.83/12.36 | | % 82.83/12.36 | End of split % 82.83/12.36 | % 82.83/12.36 End of proof % 82.83/12.36 % 82.83/12.36 Sub-proof #184 shows that the following formulas are inconsistent: % 82.83/12.36 ---------------------------------------------------------------- % 82.83/12.36 (1) ~ (all_4_7 = e4) % 82.83/12.36 (2) ~ (e3 = e2) % 82.83/12.36 (3) all_10_7 = e3 % 82.83/12.36 (4) all_10_35 = e4 % 82.83/12.37 (5) (( ~ (all_10_1 = e4) | ~ (unit = e4)) & ( ~ (all_10_4 = e4) | ~ (unit = % 82.83/12.37 e4)) & ( ~ (all_10_7 = e4) | ~ (unit = e4)) & ( ~ (all_10_10 = e4) % 82.83/12.37 | ~ (unit = e4)) & ( ~ (all_10_13 = e4) | ~ (unit = e4)) & ( ~ % 82.83/12.37 (all_10_16 = e4) | (all_10_1 = e3 & ~ (unit = e4))) & ( ~ (all_10_18 % 82.83/12.37 = e4) | (all_10_4 = e3 & ~ (unit = e4))) & ( ~ (all_10_21 = e4) | % 82.83/12.37 (all_10_7 = e3 & ~ (unit = e4))) & ( ~ (all_10_24 = e4) | (all_10_10 % 82.83/12.37 = e3 & ~ (unit = e4))) & ( ~ (all_10_27 = e4) | (all_10_13 = e3 & % 82.83/12.37 ~ (unit = e4))) & ( ~ (all_10_30 = e4) | (all_10_1 = e2 & ~ (unit % 82.83/12.37 = e4))) & ( ~ (all_10_33 = e4) | (all_10_4 = e2 & ~ (unit = % 82.83/12.37 e4))) & ( ~ (all_10_35 = e4) | (all_10_7 = e2 & ~ (unit = e4))) % 82.83/12.37 & ( ~ (all_10_38 = e4) | (all_10_10 = e2 & ~ (unit = e4))) & ( ~ % 82.83/12.37 (all_10_41 = e4) | (all_10_13 = e2 & ~ (unit = e4))) & ( ~ % 82.83/12.37 (all_10_44 = e4) | (all_10_1 = e1 & ~ (unit = e4))) & ( ~ (all_10_47 % 82.83/12.37 = e4) | (all_10_4 = e1 & ~ (unit = e4))) & ( ~ (all_10_50 = e4) | % 82.83/12.37 (all_10_7 = e1 & ~ (unit = e4))) & ( ~ (all_10_52 = e4) | (all_10_10 % 82.83/12.37 = e1 & ~ (unit = e4))) & ( ~ (all_10_55 = e4) | (all_10_13 = e1 & % 82.83/12.37 ~ (unit = e4))) & ( ~ (all_10_58 = e4) | (all_10_1 = e0 & ~ (unit % 82.83/12.37 = e4))) & ( ~ (all_10_61 = e4) | (all_10_4 = e0 & ~ (unit = % 82.83/12.37 e4))) & ( ~ (all_10_64 = e4) | (all_10_7 = e0 & ~ (unit = e4))) % 82.83/12.37 & ( ~ (all_10_67 = e4) | (all_10_10 = e0 & ~ (unit = e4))) & ( ~ % 82.83/12.37 (all_10_69 = e4) | (all_10_13 = e0 & ~ (unit = e4)))) | (( ~ % 82.83/12.37 (all_10_1 = e3) | (all_10_16 = e4 & ~ (unit = e3))) & ( ~ (all_10_4 % 82.83/12.37 = e3) | (all_10_18 = e4 & ~ (unit = e3))) & ( ~ (all_10_7 = e3) | % 82.83/12.37 (all_10_21 = e4 & ~ (unit = e3))) & ( ~ (all_10_10 = e3) | % 82.83/12.37 (all_10_24 = e4 & ~ (unit = e3))) & ( ~ (all_10_13 = e3) | % 82.83/12.37 (all_10_27 = e4 & ~ (unit = e3))) & ( ~ (all_10_16 = e3) | ~ (unit % 82.83/12.37 = e3)) & ( ~ (all_10_18 = e3) | ~ (unit = e3)) & ( ~ (all_10_21 = % 82.83/12.37 e3) | ~ (unit = e3)) & ( ~ (all_10_24 = e3) | ~ (unit = e3)) & ( % 82.83/12.37 ~ (all_10_27 = e3) | ~ (unit = e3)) & ( ~ (all_10_30 = e3) | % 82.83/12.37 (all_10_16 = e2 & ~ (unit = e3))) & ( ~ (all_10_33 = e3) | % 82.83/12.37 (all_10_18 = e2 & ~ (unit = e3))) & ( ~ (all_10_35 = e3) | % 82.83/12.37 (all_10_21 = e2 & ~ (unit = e3))) & ( ~ (all_10_38 = e3) | % 82.83/12.37 (all_10_24 = e2 & ~ (unit = e3))) & ( ~ (all_10_41 = e3) | % 82.83/12.37 (all_10_27 = e2 & ~ (unit = e3))) & ( ~ (all_10_44 = e3) | % 82.83/12.37 (all_10_16 = e1 & ~ (unit = e3))) & ( ~ (all_10_47 = e3) | % 82.83/12.37 (all_10_18 = e1 & ~ (unit = e3))) & ( ~ (all_10_50 = e3) | % 82.83/12.37 (all_10_21 = e1 & ~ (unit = e3))) & ( ~ (all_10_52 = e3) | % 82.83/12.37 (all_10_24 = e1 & ~ (unit = e3))) & ( ~ (all_10_55 = e3) | % 82.83/12.37 (all_10_27 = e1 & ~ (unit = e3))) & ( ~ (all_10_58 = e3) | % 82.83/12.37 (all_10_16 = e0 & ~ (unit = e3))) & ( ~ (all_10_61 = e3) | % 82.83/12.37 (all_10_18 = e0 & ~ (unit = e3))) & ( ~ (all_10_64 = e3) | % 82.83/12.37 (all_10_21 = e0 & ~ (unit = e3))) & ( ~ (all_10_67 = e3) | % 82.83/12.37 (all_10_24 = e0 & ~ (unit = e3))) & ( ~ (all_10_69 = e3) | % 82.83/12.37 (all_10_27 = e0 & ~ (unit = e3)))) % 82.83/12.37 (6) all_10_21 = all_4_7 % 82.83/12.37 % 82.83/12.37 Begin of proof % 82.83/12.37 | % 82.83/12.37 | BETA: splitting (5) gives: % 82.83/12.37 | % 82.83/12.37 | Case 1: % 82.83/12.37 | | % 82.83/12.37 | | (7) ( ~ (all_10_1 = e4) | ~ (unit = e4)) & ( ~ (all_10_4 = e4) | ~ % 82.83/12.37 | | (unit = e4)) & ( ~ (all_10_7 = e4) | ~ (unit = e4)) & ( ~ % 82.83/12.37 | | (all_10_10 = e4) | ~ (unit = e4)) & ( ~ (all_10_13 = e4) | ~ % 82.83/12.37 | | (unit = e4)) & ( ~ (all_10_16 = e4) | (all_10_1 = e3 & ~ (unit = % 82.83/12.37 | | e4))) & ( ~ (all_10_18 = e4) | (all_10_4 = e3 & ~ (unit = % 82.83/12.37 | | e4))) & ( ~ (all_10_21 = e4) | (all_10_7 = e3 & ~ (unit = % 82.83/12.37 | | e4))) & ( ~ (all_10_24 = e4) | (all_10_10 = e3 & ~ (unit = % 82.83/12.37 | | e4))) & ( ~ (all_10_27 = e4) | (all_10_13 = e3 & ~ (unit = % 82.83/12.37 | | e4))) & ( ~ (all_10_30 = e4) | (all_10_1 = e2 & ~ (unit = % 82.83/12.37 | | e4))) & ( ~ (all_10_33 = e4) | (all_10_4 = e2 & ~ (unit = % 82.83/12.37 | | e4))) & ( ~ (all_10_35 = e4) | (all_10_7 = e2 & ~ (unit = % 82.83/12.37 | | e4))) & ( ~ (all_10_38 = e4) | (all_10_10 = e2 & ~ (unit = % 82.83/12.37 | | e4))) & ( ~ (all_10_41 = e4) | (all_10_13 = e2 & ~ (unit = % 82.83/12.37 | | e4))) & ( ~ (all_10_44 = e4) | (all_10_1 = e1 & ~ (unit = % 82.83/12.37 | | e4))) & ( ~ (all_10_47 = e4) | (all_10_4 = e1 & ~ (unit = % 82.83/12.37 | | e4))) & ( ~ (all_10_50 = e4) | (all_10_7 = e1 & ~ (unit = % 82.83/12.37 | | e4))) & ( ~ (all_10_52 = e4) | (all_10_10 = e1 & ~ (unit = % 82.83/12.37 | | e4))) & ( ~ (all_10_55 = e4) | (all_10_13 = e1 & ~ (unit = % 82.83/12.37 | | e4))) & ( ~ (all_10_58 = e4) | (all_10_1 = e0 & ~ (unit = % 82.83/12.37 | | e4))) & ( ~ (all_10_61 = e4) | (all_10_4 = e0 & ~ (unit = % 82.83/12.37 | | e4))) & ( ~ (all_10_64 = e4) | (all_10_7 = e0 & ~ (unit = % 82.83/12.37 | | e4))) & ( ~ (all_10_67 = e4) | (all_10_10 = e0 & ~ (unit = % 82.83/12.37 | | e4))) & ( ~ (all_10_69 = e4) | (all_10_13 = e0 & ~ (unit = % 82.83/12.37 | | e4))) % 82.83/12.37 | | % 82.83/12.37 | | REF_CLOSE: (2), (3), (4), (7) are inconsistent by sub-proof #186. % 82.83/12.37 | | % 82.83/12.37 | Case 2: % 82.83/12.37 | | % 82.83/12.37 | | (8) ( ~ (all_10_1 = e3) | (all_10_16 = e4 & ~ (unit = e3))) & ( ~ % 82.83/12.37 | | (all_10_4 = e3) | (all_10_18 = e4 & ~ (unit = e3))) & ( ~ % 82.83/12.37 | | (all_10_7 = e3) | (all_10_21 = e4 & ~ (unit = e3))) & ( ~ % 82.83/12.37 | | (all_10_10 = e3) | (all_10_24 = e4 & ~ (unit = e3))) & ( ~ % 82.83/12.37 | | (all_10_13 = e3) | (all_10_27 = e4 & ~ (unit = e3))) & ( ~ % 82.83/12.37 | | (all_10_16 = e3) | ~ (unit = e3)) & ( ~ (all_10_18 = e3) | ~ % 82.83/12.37 | | (unit = e3)) & ( ~ (all_10_21 = e3) | ~ (unit = e3)) & ( ~ % 82.83/12.37 | | (all_10_24 = e3) | ~ (unit = e3)) & ( ~ (all_10_27 = e3) | ~ % 82.83/12.37 | | (unit = e3)) & ( ~ (all_10_30 = e3) | (all_10_16 = e2 & ~ (unit = % 82.83/12.37 | | e3))) & ( ~ (all_10_33 = e3) | (all_10_18 = e2 & ~ (unit = % 82.83/12.37 | | e3))) & ( ~ (all_10_35 = e3) | (all_10_21 = e2 & ~ (unit = % 82.83/12.37 | | e3))) & ( ~ (all_10_38 = e3) | (all_10_24 = e2 & ~ (unit = % 82.83/12.37 | | e3))) & ( ~ (all_10_41 = e3) | (all_10_27 = e2 & ~ (unit = % 82.83/12.37 | | e3))) & ( ~ (all_10_44 = e3) | (all_10_16 = e1 & ~ (unit = % 82.83/12.37 | | e3))) & ( ~ (all_10_47 = e3) | (all_10_18 = e1 & ~ (unit = % 82.83/12.37 | | e3))) & ( ~ (all_10_50 = e3) | (all_10_21 = e1 & ~ (unit = % 82.83/12.37 | | e3))) & ( ~ (all_10_52 = e3) | (all_10_24 = e1 & ~ (unit = % 82.83/12.37 | | e3))) & ( ~ (all_10_55 = e3) | (all_10_27 = e1 & ~ (unit = % 82.83/12.37 | | e3))) & ( ~ (all_10_58 = e3) | (all_10_16 = e0 & ~ (unit = % 82.83/12.37 | | e3))) & ( ~ (all_10_61 = e3) | (all_10_18 = e0 & ~ (unit = % 82.83/12.37 | | e3))) & ( ~ (all_10_64 = e3) | (all_10_21 = e0 & ~ (unit = % 82.83/12.37 | | e3))) & ( ~ (all_10_67 = e3) | (all_10_24 = e0 & ~ (unit = % 82.83/12.37 | | e3))) & ( ~ (all_10_69 = e3) | (all_10_27 = e0 & ~ (unit = % 82.83/12.37 | | e3))) % 82.83/12.37 | | % 82.83/12.37 | | ALPHA: (8) implies: % 82.83/12.37 | | (9) ~ (all_10_7 = e3) | (all_10_21 = e4 & ~ (unit = e3)) % 82.83/12.37 | | % 82.83/12.37 | | REF_CLOSE: (1), (3), (6), (9) are inconsistent by sub-proof #185. % 82.83/12.37 | | % 82.83/12.37 | End of split % 82.83/12.37 | % 82.83/12.37 End of proof % 82.83/12.37 % 82.83/12.37 Sub-proof #185 shows that the following formulas are inconsistent: % 82.83/12.37 ---------------------------------------------------------------- % 82.83/12.37 (1) ~ (all_10_7 = e3) | (all_10_21 = e4 & ~ (unit = e3)) % 82.83/12.37 (2) all_10_7 = e3 % 82.83/12.37 (3) all_10_21 = all_4_7 % 82.83/12.37 (4) ~ (all_4_7 = e4) % 82.83/12.37 % 82.83/12.37 Begin of proof % 82.83/12.37 | % 82.83/12.37 | BETA: splitting (1) gives: % 82.83/12.37 | % 82.83/12.37 | Case 1: % 82.83/12.37 | | % 82.83/12.37 | | (5) ~ (all_10_7 = e3) % 82.83/12.37 | | % 82.83/12.37 | | REDUCE: (2), (5) imply: % 82.83/12.37 | | (6) $false % 82.83/12.37 | | % 82.83/12.37 | | CLOSE: (6) is inconsistent. % 82.83/12.37 | | % 82.83/12.37 | Case 2: % 82.83/12.37 | | % 82.83/12.37 | | (7) all_10_21 = e4 & ~ (unit = e3) % 82.83/12.37 | | % 82.83/12.37 | | ALPHA: (7) implies: % 82.83/12.37 | | (8) all_10_21 = e4 % 82.83/12.37 | | % 82.83/12.37 | | COMBINE_EQS: (3), (8) imply: % 82.83/12.37 | | (9) all_4_7 = e4 % 82.83/12.37 | | % 82.83/12.37 | | REDUCE: (4), (9) imply: % 82.83/12.37 | | (10) $false % 82.83/12.37 | | % 82.83/12.37 | | CLOSE: (10) is inconsistent. % 82.83/12.37 | | % 82.83/12.37 | End of split % 82.83/12.37 | % 82.83/12.37 End of proof % 82.83/12.37 % 82.83/12.37 Sub-proof #186 shows that the following formulas are inconsistent: % 82.83/12.37 ---------------------------------------------------------------- % 82.83/12.37 (1) ( ~ (all_10_1 = e4) | ~ (unit = e4)) & ( ~ (all_10_4 = e4) | ~ (unit = % 82.83/12.37 e4)) & ( ~ (all_10_7 = e4) | ~ (unit = e4)) & ( ~ (all_10_10 = e4) | % 82.83/12.37 ~ (unit = e4)) & ( ~ (all_10_13 = e4) | ~ (unit = e4)) & ( ~ % 82.83/12.37 (all_10_16 = e4) | (all_10_1 = e3 & ~ (unit = e4))) & ( ~ (all_10_18 = % 82.83/12.37 e4) | (all_10_4 = e3 & ~ (unit = e4))) & ( ~ (all_10_21 = e4) | % 82.83/12.37 (all_10_7 = e3 & ~ (unit = e4))) & ( ~ (all_10_24 = e4) | (all_10_10 = % 82.83/12.37 e3 & ~ (unit = e4))) & ( ~ (all_10_27 = e4) | (all_10_13 = e3 & ~ % 82.83/12.37 (unit = e4))) & ( ~ (all_10_30 = e4) | (all_10_1 = e2 & ~ (unit = % 82.83/12.37 e4))) & ( ~ (all_10_33 = e4) | (all_10_4 = e2 & ~ (unit = e4))) & % 82.83/12.37 ( ~ (all_10_35 = e4) | (all_10_7 = e2 & ~ (unit = e4))) & ( ~ (all_10_38 % 82.83/12.37 = e4) | (all_10_10 = e2 & ~ (unit = e4))) & ( ~ (all_10_41 = e4) | % 82.83/12.37 (all_10_13 = e2 & ~ (unit = e4))) & ( ~ (all_10_44 = e4) | (all_10_1 = % 82.83/12.37 e1 & ~ (unit = e4))) & ( ~ (all_10_47 = e4) | (all_10_4 = e1 & ~ % 82.83/12.37 (unit = e4))) & ( ~ (all_10_50 = e4) | (all_10_7 = e1 & ~ (unit = % 82.83/12.37 e4))) & ( ~ (all_10_52 = e4) | (all_10_10 = e1 & ~ (unit = e4))) & % 82.83/12.37 ( ~ (all_10_55 = e4) | (all_10_13 = e1 & ~ (unit = e4))) & ( ~ % 82.83/12.37 (all_10_58 = e4) | (all_10_1 = e0 & ~ (unit = e4))) & ( ~ (all_10_61 = % 82.83/12.37 e4) | (all_10_4 = e0 & ~ (unit = e4))) & ( ~ (all_10_64 = e4) | % 82.83/12.37 (all_10_7 = e0 & ~ (unit = e4))) & ( ~ (all_10_67 = e4) | (all_10_10 = % 82.83/12.37 e0 & ~ (unit = e4))) & ( ~ (all_10_69 = e4) | (all_10_13 = e0 & ~ % 82.83/12.37 (unit = e4))) % 82.83/12.37 (2) all_10_35 = e4 % 82.83/12.37 (3) all_10_7 = e3 % 82.83/12.37 (4) ~ (e3 = e2) % 82.83/12.37 % 82.83/12.37 Begin of proof % 82.83/12.37 | % 82.83/12.37 | ALPHA: (1) implies: % 82.83/12.37 | (5) ~ (all_10_35 = e4) | (all_10_7 = e2 & ~ (unit = e4)) % 82.83/12.37 | % 82.83/12.37 | BETA: splitting (5) gives: % 82.83/12.37 | % 82.83/12.37 | Case 1: % 82.83/12.37 | | % 82.83/12.37 | | (6) ~ (all_10_35 = e4) % 82.83/12.37 | | % 82.83/12.37 | | REDUCE: (2), (6) imply: % 82.83/12.37 | | (7) $false % 82.83/12.37 | | % 82.83/12.37 | | CLOSE: (7) is inconsistent. % 82.83/12.37 | | % 82.83/12.37 | Case 2: % 82.83/12.37 | | % 82.83/12.37 | | (8) all_10_7 = e2 & ~ (unit = e4) % 82.83/12.37 | | % 82.83/12.37 | | ALPHA: (8) implies: % 82.83/12.37 | | (9) all_10_7 = e2 % 82.83/12.37 | | % 82.83/12.37 | | COMBINE_EQS: (3), (9) imply: % 82.83/12.37 | | (10) e3 = e2 % 82.83/12.37 | | % 82.83/12.37 | | SIMP: (10) implies: % 82.83/12.37 | | (11) e3 = e2 % 82.83/12.37 | | % 82.83/12.37 | | REDUCE: (4), (11) imply: % 82.83/12.37 | | (12) $false % 82.83/12.37 | | % 82.83/12.37 | | CLOSE: (12) is inconsistent. % 82.83/12.37 | | % 82.83/12.37 | End of split % 82.83/12.37 | % 82.83/12.37 End of proof % 82.83/12.37 % SZS output end Proof for theBenchmark % 82.83/12.37 % 82.83/12.37 11780ms %------------------------------------------------------------------------------